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ENGINEERING EXPERIMENT STATIO .. THE EFFECT OF MATERIAL PROPERTIES ON MATERIALS HANDLING PROCESSES by R. W. Christensen, R. W. Heins, W. Babcock and R. Tonn ARPA Order No. 1579, Amendment No. 2 Program Code No. 1F10 Contract No. H0210005 Approved ior public release; Diatribuliori CJulimilsd i

ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

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Page 1: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

ENGINEERING EXPERIMENT STATIO ..

THE EFFECT OF MATERIAL PROPERTIES ON MATERIALS HANDLING PROCESSES

by

R. W. Christensen, R. W. Heins, W. Babcock and R. Tonn

ARPA Order No. 1579, Amendment No. 2 Program Code No. 1F10 Contract No. H0210005

Approved ior public release; Diatribuliori CJulimilsd i

Page 2: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

BEST AVAILABLE COPY

Page 3: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

«■if, ; ! i

3?00.fl (Aifc 1 to End .'i) ]■•■;■ ■(, 66

I. (.•'*l'-i:«A llflt« AVttVl'l ■ I-.-'.' ■ ti iittthtt.'J

UniversiLy of Wisconsin Engineering Experiment Station

JfedisorL» J?ls.Cönsln .53.706

l)üCU-u:iU' COM", ".ul. DMA -;.; n

.1 Kl i*c-.; 1 I t I L t;

Unclassified

The Effects of Material Properties on Materials Handling Processes

•!. lid i M.'I ivi: fioTls (/)■;.s •.•/ r.> J.-I mi.l Inctut.l.c ilsitcn)

.Annu£l Technical Report ■■■- MjincitH&l (i'ttm numf, i-.(..Vj.'i» uittihti in*! m'twcl

R. W. Christensen, R. W. Heins, W. Babcock and R. Tonn

0. m.l-t.lM O.M L

April, 1972 Hi. COt'lfiACT OH (WiAKV liol"

H0210005 »■. PKOJCCT l<0. 1 ^VQ

<:. Program Code No. 1F10

to. I'lMnim«! IOM si A 11 •••rin

7ir. ICiAl. HO- Ol I'Ai-.t.S

30 7/.. NO. or UGI :•

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144-B639

ft. OTHKi P.r.nö it r.Li{..l f/.ny o;;i;'r I.-J. ./.-! rrf that nifiv L? t.tbi Hils. »•fpo'tl

Distribution of this document is unlimited.

13. AU:n KAt 1

ip. SPONSORmr. (.111.1 i AHV ACTIVII \

Advanced Research Projects Agency ■Washington, D. C. 20301

In order to achieve a better understanding of the fundamental aspncts of materials handling by a conveyor system, a model system is being con- structed. Among the major problems to be dealt with are those which result from scaling down from the full"size unit. %A statistical experimen-

Ihl * Su, ™? S^ UP t0 evaluate the actions and. interactions between the variables. This should lead^to a minimum amount of experimental tests.

m^n ^i3!; aid 1u ^ evaluatim' simulation of vertical acceleration of tlu rLo'S P/0 bf' ^^^ haS been Carried out and the -^ults are rllrllut V1*ttS*or ^0 additional simulators are presented which may bette: reproduce particle agitation.

In Mn!!r,iCal tP

T50per"es of thre'c s™?!** acquired from tunnelling projects

in Milwaukee, Wisconsin .and Wlüte Pine. Michigan have been run and 'are reportea. ^ .

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Page 4: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

3200.Ö (Atl 1 to End l) Kur /, (.•)

I. IV hOH »••C»L f

Conveyor simulation Particle agitation Vertical acceleration Conveyor systems Statistical experimental design Material properties , Rapid excavation

i in i i'

7,"^7T~77

J Sreulily C'l.isMfK .illow

Page 5: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

ANNUAL TECHNICAL REPORT

MARCH 1972

THE EFFECT OF MATERIAL PROPERTIES ON MATERIALS HANDLING PROCESSES

by

R. W. Christensen and R. W. Heins Co-Principal Investigators

Telephone .(608) 262-3225 (608) 262-2563

Department of Engineering Mechanics and the

Department of Metallurgical and Mineral Engineering The University of Wisconsin Madison, Wisconsin 53706

Sponsored by

Advanced Research Projects Agency ARPA Order No. 1579, Amendment No. 2

Program Code No. 1F10 Contract Period: January 29, 1971 through January 28, 1972

Amount of Contract: $42,715

f ft.

iiSS^l This research was supported by the Advanced Research Projects Agency "lUl*^" • i7? \\\\ of the Department of Defense and was lUJ S^ ö L \\\\ monitored by the Bureau of Mines under |m_^rt--TT-TrTTTM^ Contract No. H0210005. llUE®^3

A

The views and conclusions contained in this document are those of the authors and should not be interpreted as necessarily representing the official policies, either expressed or implied, of the Advanced Research Projects Agency or the U. S. Government.

DISTRIBUTION STAT^MEM A

Approved for pub}!.-; r. Iccso; Distribution Uul ::■■ ',':■!

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CONTENTS

Summary 1 Introduction 1 Equipment Design 2

Scaling 4 Vertical Vibration Tests 6 Experimental Design 13

Variables being considered ' 13 Procedure 14

Physical Property Determinations of Excavated Material 15 References 18

TABLES

1. Flowabillty - Angle of surcharge - Angle of repose 3 2. Summary of Vertical Vibration Test Results 9 3. Summary of Physical Properties Tests, .17

ILLUSTRATIONS

Fig. 1 Model test conveyor (in foreground) Fig. 2 Return conveyor Fig. 3 Typical idler assemblies Fig. 4 Container for vertical vibration tests Fig. 5 Container mounted on vertical vibration machine Fig. 6 Bulk material at angle of repose prior to testing Fig. 7 Bulk material after testing. Note segregation by particle size. Fig. 8 Pantograph for determining cross sectional profile of bulk

material Fig. 9 Typical cross section after vibration test at indicated test

conditions „ Fig.10 Typical cross section after vibration test at indicated test

conditions Fig.11 Mechanical simulator Fig.12 Mechanical simulator Fig.13 Grain size distribution Fig.14 Stress as a function of strain during shear test of

Milwaukee Tunnel material Fig.15 Mohr diagram for Milwaukee Tunnel material

Page 7: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

SUMMARY

Although physical properties of bulk materials influence their con- veying in all materials handling systems, the emphasis in this study is related to rapid excavation during tunnelling. In order to achieve the materials handling capabilities required, a better understanding of the fundamental aspects of the materials-system interface and interactions must be obtained. In particular, the effect of the physical properties of excavated material on the handling system must be investigated. The selection of equipment based on experience, tradition, or intuition is no longer valid but must be based in part on an analysis of the physical pro- perties of the material to be handled.

The purpose of this research is to identify the variables which control the material handling processes. It is the hope of this research team that optimum material characteristics will be found, which will enhance handling output. Since these materials are the products of extraction and essenti- ally roan-made, it should be possible to modify their properties at or near the face of excavation to improve their handleability.

A model belt conveyor system is being constructed to study the effect of material properties on equipment. The model (scaled) system is about one-third the standard 24-inch wide full size machine. The choice of scale was based largely on the problems associated with acquisition, storage, and utilization of huge bulk samples if a full size system were adopted. Scaling, however, leads to many other problems which remain to be solved.

A discussion on the experimental design approach to experimentation is presented in which the more important variables are listed. Using this approach, main effects and interaction between variables can be isolated and determined with ? minimum amount of experimentation.

In addition to the development of a model conveyor system, a series of vertical vibration tests, designed to simulate the motion of bulk material on a conveyor belt, has been initiated. Preliminary results of this testing program have been obtained and are reported herein.

The physical properties obtained from samples of excavated material from three tunnelling operations have been run and are reported.

Page 8: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

THE EFFECT OF MATERIAL PROPERTIES ON MATERIALS HANDLING PROCESSES

by

R. W. Christensen, R. W. Heins, W. Babcock and R. Tonn

INTRODUCTION

The advent of large diameter tunnelling machines marks a new era in tunnelling practice. While these machines are capable of excavating hard rock rapidly and continuously, new designs of even greater capacity are being developed and tested. Rapid excavation underground, at rates never before dreamed of, appears to be just around the corner. For example, a revolutionary piece of equipment in prototype form which has recently undergone tests by the military has a theoretical production of 150,000 cubic yards of material per hour (6) . This is an astounding rate of pro- duction of material all of which must be moved from the machine efficiently and without delay. The problems of materials handling associated with rapid excavation processes are enormous.

The present tunnelling machines arc an outgrowth of the continuous mining machines developed in the early 1950's by the coal producers. In need of high productivity per man hours, these companies fostered the dev- elopment of continuous mining machines which literally ripped the coal from the face. These machines also were equipped with loading devices that moved the material away from the face and onto an extensible belt conveyor or to a shuttle car behind the miner. These same machines were subsequently successfully used in soft rock, for example, potash.

Having been shown that continous mining equipment was practical, the manufacturers began working on systems where rock with increasingly higher compressive strengths could be mined continuously. The present continuous excavator represents a breakthrough in that rocks having com- pressive strengths in excess of 25,000 pounds per square inch (psi) can now be excavated by machine. Tunnelling no longer suffers the constraints of the cyclic drill-blast method.

The volume of rock fragmented by these machines is largely a function of the speed of the cutting head and the rate of the machine's advance. A number of cutter designs have been proposed and tried in practice. These designs have drawn heavily on the technological advances made in drilling oil wells. The particle sixe distribution and particle shape of an excavated material are, in part, dependent on the type of cutter used as well as the relative strength of the material in place. The linear cutter or disk cutter as applied in soft to medium hard formations produces larger particles or chips which tend to be plate-like in shape. In contrast, the tungsten car- bide insert cutter which is used in very hard formations tends to produce

Underlined numbers in parentheses refer to items in the list of references at the end of this report.

Page 9: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

fine chips of more equal dimensions. Thus, it can be seen that both cutter design and rock strength influence chip shape and size distribution and can be controllable variables if it were shown that these properties had an im- portant influence on the materials handling problem.

While it is quite speculative at this point, an attempt is being made to determine the influence of such material properties as particle shape, particle size distribution, angle of internal friction, and moisture content on the way these materials behave on a conveyor belt. If. this effort proves successful: Materials handling systems might be designed around those properties and variables which are shorn to be important in the handling process; most of the variables mentioned are controllable and might be changed, if such changes make the handling problem any easier and; an optimum combination of handling system design and materials property changes

might be utilized.

EQUIPMENT DESIGN

The effects of bulk material characteristics must be considered in the design of belt conveyor systems. In terms of performance in belt conveyor systems, .the following material characteristics must be considered:

Angle of Repose - The angle which the surface of a normal, freely

formed pile makes to the horizontal.

Angle of Surcharge - The angle to the horizontal which the surface of the material assumes while the material is at rest on a moving conveyor belt.

Flowability - The combined effect of the above characteristics on the behavior of the material on a belt conveyor. Table 1 illustrates the

flowability for a range of material types.

These three interrelated characteristics are, in turn, dependent on more basic material properties as well as the dynamic effects imparted to the material by the conveyor. Basic material properties which could have an effect are particle-size distribution, abrasiveness, density, internal

friction, and cohesiveness.

The material will remain at the angle at which it was placed on the belt until conditions of loading are changed significantly. The angle at which the material is placed will be something less than the angle of repose because of the dynamic effect of placement on the moving belt. Where dynamic effects are not minimized, this operation may overshadow all other forces acting on the material and govern the amount of material that the

belt can handle.

Any significant change in loading conditions, will tend to reduce the angle of surcharge. These loads could also influence mater^l character- istics such as moisture content. The loads imparted to the bulk material after placement on the belt are dynamic loads transmitted to the material by the conveyor. The type and magnitude of this loading is a function of belt speed, sag, tension, inclination, and ambient vibration. A funda- mental factor here is the vertical acceleration of the material due to the belt displacement as it moves over the idlers.

Page 10: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

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Page 11: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

To propprly assess these considerations a,test conveyor is being constructed. Two 'approaehes to experimentation were considered: (1) use ,of a full size conveyor section, or (2)' use of a scaled version. The latter was chosen for use as the test facility. •■'

ft > i i ■ '

The full size version offered the advantage of obtaining easily correlated empirical data Involving no scaling effects on the material. While components fqr such a facility were more readily available than for the scaled .version, housing a^acility, of that size in addition to the problems of procurring and handling the large volumes of representative materials from rapid excavation sites was; prohibitive.

the model conveyor overcomes the physical problems mentioned, but created problems of scaling and construction. The belt width was arbi-

' trarily set at 8". For laboratory study, overall size and weight were important considerations. In ordir to meet the experimental design 7(:equiiremei|ts, many adjustments .v/ere necessary. Making the equipment adjustable and compact caused construction problems which have subsequently been solved. . i

i . ■ l

Sqaling ,

In the design of the'model conveyor system, the scaling factors for the conveyor ar|d the material must be determined. Scaling problems rela- tive to belt flexibility and idler spacing in relation to the material load being carried by the belt must be solved. Our studies to date indicate that, for a given material, the controlling factor determining the behavior of the material on the conveyor is the vertical acceleration experienced ty the material as it travels along:the belt. The problem, then is to design the model conveyor with a vertical acceleration pattern imparted to the material similar to that which it would experience on a full-sized conveyor.

I j :

The vertica'l acceleration imparted ^y a conveyor to the material .being ihandled is a function of belt speed and the deformed shape of the belt under load.i The deformed shape of the belt is, in turn, a function of the weight of material being carried,' idler spacing, belt flexibility, and belt tension. In order to model the full scale operation as closely as jpossible, it is anticipated that belt speeds used in the tests will be the same as for full sized conveyors. Therefore, since the load of the material being carried on the model conveyor will be a small fraction of that carried by a full sized conveyor, it is apparent that the belt used on the model conveyor will have to'be considerably more flexible than full sized belts. Furthermore, idler spacing will be reduced in the test section which will require greater flexibility in order to keep the deformed shape of the belt similar to that qf a full sized conveyor. A reduction in belt tension also can be used to achieve the same purpose. By appropriate scaling of the various factors involved, it should be possible to model the material handling characteristics With a small scale version of the conveyoij system;

Page 12: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

For any material; cohesion, abrasiveness, and particle size present the major potential scaling problems; the.angle of repose and angle of internal friction do not depend upon scale. Since the materials being considered in this study are fine sized, most of the cohesive properties that may be present would be due to capillary effects, although some co- hesion due to electrostatic effects may be present in the very fine-grained fraction. It appears doubtful that cohesion, whether due to capillary or electrostatic effects, will be present to any significant degree in either the full sized or the model conveyor systems; capillary cohesion will probably be destroyed by disturbances to the material during the handling process and cohesion due to electrostatic attraction would be present in only the very fine-grained fraction which represents only 5 to 10 percent of the total sample.

Abrasive wear on the conveyor belt appears to be a difficult factor to scale. Experience with full sized conveyor systems indicates that a majority of belt wear takes place upon impact of the material as it is being loaded onto the belt. Some additional wear may occur anywhere there is sliding of the material relative to the belt. In either case, the amount of wear is a function of the weight of material involved and the wearing qualities of the belt. It is impractical to modify the wearing qualities of the belt to account for the reduction of the weight of material in the model system. But, it should be possible to assess bell: wear for various test conditions and materials on a relative scale, even though the amount of wear will not be the same as in the full sized system.

The particle size distribution of the material also must be appropri- ately scaled for the model system. Particle size distribution can be expected to influence such factors as angle of surcharge, loss of material from the belt during handling and the force of impact when the material is loaded onto the belt. To be strictly correct, the entire particle size distribution should be altered in accordance with the reduction.in belt width, and the differences in the loading operation between the full sized conveyor and the model conveyor so as to properly account for loss of material during handling and impact force. However, this also would alter the angle of surcharge and the amount of cohesion present in the sample. Therefore, as a first approximation, it is planned to merely eliminate the larger sized particles while keeping the remainder of the particle size distribution unchanged. The intent will be to maintain a constant ratio of maximum particle size to belt width. For example, if the maximum particle size to be carried on a 24-inch belt is 3 inches, a maximum particle size of 1 inch would be used on an 8-inch belt. This method of scaling should eliminate excessive loss of material from the belt without introducing undesirable changes in the fundamental "material properties.

Construction of the model conveyor is nearing completion at the time of writing. Fig. 1 shows the test section as of March 13, 1972. The conveyor frame is adjustable in inclination from 0° to 20°. The test section will be 20' long with 8" belt width. The drive assembly will have a variable conveyor belt speed of 50-700 fpm and wi]l be driven by a 5 hp. open, drip-proof D.C. motor through V-belt drive pulleys.

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The return unit in the closed loop system is a 26' conveyor section with 18" belt width constructed from standard components. The return section will operate at a constant speed of 200 fpra. The return section is shown in Fig. 2. Transfer of material between the model conveyor and the return section will be through chutes and bin-hoppers.

The idler assemblies for the model conveyor have a bracket mount much like their full size counterparts. Originally, an idler assembly with completely adjustable troughing angles was envisioned; however, this was found to have many drawbacks in construction and design with no real benefit in that the experimental design requires only certain limits of operation. The brackets may easily be interchanged for desired troughing angles. Troughing of 20°, 35° and A50 is currently provided for. Fig. 3

shows the idler assemblies being used.

These idlers are provided with sealed ball bearings pressed into the roller. Other, more economical bearing types, such as teflon were investigated, but did not withstand the loads and speeds required. Idler assemblies may easily be moved longitudinally to change the idler spacing.

Belting for the conve^dr is of the Goodyear polyester series with a rough top. The 2-ply belt has a tensile rating of SO/Z/inch of width. Because of the high troughing angle, narrow belt width, relatively short idler spacing and low belt loads, a highly flexible belt material was needed. All. existing belts in the standard bulk material conveyor line were much too stiff, so a belt intended for less severe wear conditions is being used; thus rapid belt wear is anticipated but unavoidable.

VERTICAL VIBRATION TESTS

Another approach to the experimental phase of this study has been developed; it is concerned with the simulation of particle agitation on a conveyor belt by means of vertical vibration tests. The purpose of this testing program is two-fold. Considerations of scaling factors indicated that vertical motions experienced by the material on the belt is a funda- mental factor determining the handling characteristics. Secondly, con- structing an efficient experimental design requires preliminary knowledge of the variables, their possible ranges, and interactions with other variables. The resulting fractional factorial design, which is constructed will eliminate confusion in the following analysis. Therefore, a distinct advantage can be gained in the testing program, if the most common vari- ables can be studied in a simple simulation prior to the actual test on

the model conveyor.

Vibrations transmitted to the material result from the deforming shape of the moving, loaded belt. Tills deformation is a function of belt speed, idler spacing, belt sag, idler quality and ambient vibrations transmitted through the supporting frame. The frequency and amplitude of the prominent vibrations can be calculated if the belt speed, idler spacing, belt tension, and weight of material on the belt are known. Ambient vibrations cannot be calculated, but could be monitored during operation of a conveyor.

Page 14: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

Three methods of simulaüion will be presented. The first of these simulations has been run and results are shown. The remaining two are in the design stage.

In the first method a container for the material was designed to simulate the geometry of a conveyor belt cross-section. It has a flat center section and adjustable sloping sides. The sides can be adjusted to simulate. 20°, 35° and 45° troughing. A 12 inch long container was fabricated from 1/4" aluminum plate stock and was lined with belt material 8 inches wide. The ends of the. container are vertical and the sides are somewhat wider than the belt itself to prevent spillage during the tests (see Fig. 4). Thus, the container simulates a short length of a typical conveyor cross-section on a small scale.

In the initial stage of testing, an attempt has been made to bracket the probable range of frequency and displacement likely to be experienced by the material in typical conveyor designs. For these initial tests, a range of frequency from 0 to 50 cycles per second was selected and the displacements wei-e gradually increased to the point where the material became severely agitated. This behavior was considered to be the practical limit both in terms of the tests themselves and a full scale conveyor operation.

The material for the tests consists of 1.5 pounds of the bulk materlal obtained from tunnelling operations as described subsequently in this paper. The samples passing a #4 sieve size, in an air-dried condition, were prepared at a moisture content of 5 percent to prevent dusting which could be detrimental to the testing apparatus.

The vibration testing apparatus, a 1200-lb. MB-electromagnetic shaker (Model CIO), is shown in Fig. 5. It is capable o producing frequencies from 0 to 10,000 cycles per second and displacemei.es from 0 to approximately 1/2 inch depending upon the mass of the sample and the frequency being used. The apparatus can be programmed for either .sinusoidal or random motions. In the initial series of tests, sinusoidal motions were used; however, for future testing, the possibility of including random motions is being considered. The vibrations of an operating conveyor system may be monitored in an attempt to improve the testing procedures by closer approximation of actual vibrations.

Prior to the start of each test, the bulk material is placed at the angle of repose. It is then subjected to vertical vibration at the desired frequency and amplitude for a period of 30 seconds (this test duration was more than adequate to achieve a "steady-state" condition in the material in all cases). Figure 6 shows the bulk material in the container at the angle of repose prior to testing. Figure 7 was taken after the test, in this case, the vibration rate was 30 cycles/second, the displacement was 0.05", and the vertical acceleration was 2.3g. Comparison of these photographs illustrates the segregation of the particles by size. During the test, the degree of disturbance in the material is noted in terms of particle size segregation, alteration of the initial cross-section of the sample, severity of agitation, etc. At the end of the test, the cross- section profile of the sample is plotted using a pantograph designed and built specifically for these tests (see Fig. 8).

Page 15: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

8

(2)

(3)

(4)

Depending upon the frequency and amplitude of motxon. the "feet on the sample cross-section varied from no discernable change to complete destruction of the cross-section; i.e.. zero angle of surcharge. A des- cr ption of each test is provided in Table 2. Figures 9 and 10 also show two typical sample cross-sections measured at the end of the tests The trends observed in the initial series of tests may be summarized as follows.

(1) At very low frequencies, relatively large amplitudes could be tolerated before significant alteration of the sample cross

section occurred.

As the frequency increased, less amplitude was needed to alter the cross section (i.e., reduce the angle of surcharge).

At frequencies of 35 cycles per second and higher, a resonant condition appeared to develop (at the higher amplitudes) and the

material exhibited a fluid-like behavior.

Close examination of the data indicates that peak vertical acceleration is the major factor controlling the ultimate angle of surcharge achieved by the material when subjected to veiLical vibration; i.e., below about 1.5g vertical acceleration the sample cross section changes relatively little from the static angle of repose, whereas, above 1.5g the angle of Burcharge decreases rapidly. Thus, there is a strong indication that peak vertical acceleration is a very important parameter in the performance of bulk materials on conveyor belts.

High speed photography was employed during a selected few vibration

tests to study the time history of particle motions d^ln8 ^^^ Film speeds of 750 and 1500 frames per second were used. These films indicate that the larger particles are affected more than the finer narticles by the vertical acceleration. Larger particles work their way up to the surface, emerge, and tumble down the slope, giving the segrega-

tlon shown in Fig. 7.

Based on a preliminary study of the films, it is evident that a film speed o? 750 frames per second adequately shows the vibration test and the destruction of the material profile. It is possible to count the number of Vibrations necessary to alter the material cross section by viewing the film. The whole process is clearly visible and filming appears to offer

a good test evaluation technique.

The second simulator is an attempt to better account for the agita- tion of material at the idler. The previous simulation fails to take into account the squeezing action of the belt on the material as it approaches the idler, the "breaking" of the belt as it passes over the Kler! and the release as the material moves away from the idler when the belt flattens between idlers. Fig. 11 shows a simulator which attempts

to account for these effects.

"'"■.'■

Page 16: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

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Page 17: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

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Page 18: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

11

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Page 19: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

12

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Page 20: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

13

The simulator consists of a length of stationary belt under which an idler assembly is passed, producing relative motion between the two.

The linear motion of the idler assembly is obtained from the rotational motxon of the telescopic arms. The guide bar is always parallel to the belt axis and It constrains the swivel joint at the end of the telescopic arm to undergo linear displacement. The necessary radial adjustment is

vellcitv ol It ^eSCOpiC *f^lsm in the idler assembly arm. The linear velocity of the idler assembly can be, considered as constant for all nr*rt-i- cal purposes. The use of rotational motion minlmiZeS the Inertia forces

slmpt SZZ:±TJ. Pr0VideS ^—^ ^ -"on with a relati^ly

ll^^lZll^ in ^ --^ ^^ belt -a^srid1^ . The third simulator, shown in Fig. 12, takes into account the squeezing

and release of the material as the belt passes over the idlers WT«^ simulate the -breaking" of the belt. This simuu'r wll be use^ with the

in tS nvLr^ ?' frequency' and acceleration than the MB shaker used The m^TS vlbration tests, particularly in the low frequency range. The MIS machine can also be programmed for any vertical motion desired- thus permitting the test sample to be submitted to a previously recorded

Ire inlr^s" 1***1*7* "V^ ^^ -illation. Arrangement has obv^ouf ^ ? n SUC\a traCe- The USe 0f a Programmed motion patterns? advant:ageS 0Ver arbitrary frequencies, amplitudes, and motion

•W^n!"81?1^ ?aS tl!e drawbacks that ^ does not account for the breaking of the belt and all vertical movement is accompanied by

squeezing action because of the bell crank lever action. These short- comings make the future of this simulator uncertain.

EXPERIMENTAL DESIGN

rnnAutTnttt±Ve fra?t:Lonal ^ctorial design has been developed for conducting the experimental investigation. This program is Sery flexible and variables can be added or deleted as necessary during the testine program Regardless of the number of important variables that are finally formed in the testing program, this method of experimental design will ^

SnSl =" ^ Si8nlfiCant data 0btai"ed fr0ra a ^ -b- of

Variables Being Considered

have ^^flJdS118 ^ °f/arlables is considered tentative as some may have to be added or deleted as testing progresses. The equipment variables that are being considered, but not limited to, are: variables

Page 21: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

14

g. = belt speed

g = belt inclination

g = change in inclination

g = cross section configuration of conveyor bed

g = belt material (coefficient of friction)

gft = idler spacing

g7 = belt tension

The material variables that are being considered, but again not limited

to, are:

q1 = particle size distribution

q„ = particle shape

q = angle of internal friction

q, = moisture content 4

The total muck removal rate (V) is a function of the equipment and

material variables:

V = f(g1,g2,g3.g4.85.86.g7'cl1>

cl2,q3,q4)

Procedure

The general procedure of setting up the factorial and fractional- factorial designs and of computing the results is well known(4). The first step in the experimental design procedure is to choose a high and low value for each test variable (since a two-level factorial or fractional factorial design will be used). It is assumed that any nonlinear relation- ships will not significantly affect the analysis. These values can be chosen from design manuals, manufacturing manuals, or from experimental models. Careful consideration should be used in selection since a good representative of high and low values will reduce the number of tests to

be run.

After initial values have been assumed, the testing procedure, based on factorial or fractional factorial design, can be established. For example, assume seven test variables. A factorial design for seven vari- ables would be 27 = 128 tests. On the other hand, for a fractional factorial design, the number of tests required is l1^ = 23 = 8. The notation 27-* indicates that each variable is studied at two levels, seven test variables are being studied, and four "new" variables (which are linear combinations

of the original seven variables) have been added.

The advantage of fractional factorial designs over factorial designs is that the same number of tests (8) can be made for seven variables as can be made for the three variables in the factorial design. The data, however, is not pure as in the factorial design and involves interactions between variables. Therefore, the gain, in terms of the number of runs.

Page 22: ENGINEERING EXPERIMENT STATIO · ENGINEERING EXPERIMENT STATIO .. ... A model belt conveyor system is being constructed to study the effect ... A discussion on the experimental design

can reasonably be ignored oSn t-hf interactions and of what order

Pianation of the inSradtion effects- If'not 8 ^ ^ ^^ an ex- out the interactions is available On^ ^ ' * Srt:einatic method for sorting ^w, tests can be rm jf^^ettSä^,^ LTar-rd'

PHYSICAL PEOPESTY DmffllNATIOHS OF EXCAVATED MATERIAL

Jarva machine and had essentiallv nn n* . i . Ple Was excavated by a sieve size with a high percentage TJ l** ^^ than 1-1/2,, (38 rm) Particles were generflirplateSke Thf tha.^^ 200 ^e. The for this materlal is shown in Fig {3 TtelTJ?* distfibution cu.-ve to be 2.81. The material is pj^^ folTtZTlIl^ ^ ^^

coppe^o^r^tf^t^iS wes

r: TTV™ the ^ ^ has angular particles, but not as dilt^.M i' Wh^h ^ a Freda Sandstone sample. This material was excavatfd bv f ^f^'6"111'6 aS the Milwaukee »ate maximum particle size of 7" (180 L? r, ' ^^ and had an aPProxi- material was 2.77. U m)' The sPecific gravity of this

Jut ^^n^^^^^^^XZParTes much like s^le ^ has been identified as Nonsuch ShaU It it f PlaneS' This material

was broken do;m somewhat due to the violPn, w frt:a:Ln that tlie »Serial was excavated by a Atlas-Copco machine and h?d

U 0f SleVin8- This material

approximately 7 in. (180 mm). ^e specific gravi^ri ^rtiCle Si2e 0f

i^t-xtxc gravity of this material was 2.83.

-isture6 ^SfL^: ^^T!* fr?m the ^^ ^ the moisture content of the material as Jt

0n.ltl0n H T nece^^ily the natural environment of the tunnels quite d«lT 0ff the Wrki^ face s1^ the added.to the bulk -teriL o^eLce^tinrarr^' ^ iS SOmetlmes attempt was made to preserve orZlt dUS^n8 at ^e face. Therefore, no in the as-received condition. ^ ^ m0iStUre Content of the sample

over f s^ela^fro8; l-mZlL^Tron^V^ ** * ^ ^ material was sized by the hydrometer SKL T^' The mlnus 200 me^ material, however the While Pine s^n?ef^/n ^u CaSe of the Milwaukee of minus 200. ine Samples dld not have an appreciable amount

tion m^lfi?: ZVirZroi thTSS ^ aCCOrdanCe With AS™ D-^na.

Samples used in the tesL were blended JT ^ T ^^ 4 mesh mat'rial- ' The minimum bulk density wls detemined bv^nT '^ .t0 the Size ^s™. 1/30 cubic foot mold. The max^bu^ Z SV° & '^ materlal into a

hy compacting seven layers ^To bLVe^l^toc^o^ LlhiS^"

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16

Vibration.equipment was unavailable at the time of the test «nH anL destruction of larger grains was noted due to the comoacting p-oced'e Because of this, maximum bulk density was not run on all samples!

each run'6 Sr'l/S^ TT ^ ^ USinS di£^^ ™Tml stresses on eacn run. E±g 14 xs a plot showing the results of these tests ThP

"g 15 TsMtl ^^r ^^f and the S^le ^ in - - - ried state ofsin^rnl:l^L1io^l^^r13^r

8e::.e^rsus shear ~ - - --'

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18

. ' REFERENCES

1. American Society of Testing Materials^ Standards, Part 4, 1958.

Test D854-58'.

2. American Society of Testing Materials. Standards, Part 4, 1963.

Test D422-63. ,■ l

3. Belt Conveyors, for Bulk Materials, Conveyor Equipment Mfg. . Association, c'ahner's Publishing Co., Inc., 1966, p. ^.

4. Davies! Owen L., "Design and Analysis of Industrial Experiments," Hafner Publishing Co., New York,-1967..

5 Frisque, D. E. and Mkrraccinl, L. C, "Physical Properties of

Bulk Materials-' presented at ^^^fltl^ l^llTtZLh , Reclaiihina of Bulk Solids, University of Pittsburgh. Pittsburgh,

Pennsylvania, 1970. ' , ^ .

' 6 Waves' Maior General T. J., from keynote speech, 2nd Symposium '' onT^ld Excavation, Sacramento College, Sacramento, Californxa,

1969: " ' »

i

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Flg. 2 Return conveyor

Flg. 3 Typical Idler assemblies

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^p^P**' ^i,■■"■"■■;■. -r^ 'sy^J -^ :

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Fig. 4 Container for vertical vibration tests

Fig. 5 Container mounted on vertical vibration machine

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Flg. 6 Bulk material at angle of repose prior to testing

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Fig. 8 Pantograph for determining cross sectional profile of bulk material

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FIGURE 14. - Stress as a Function of Strain during Shear Test of ■ ' Milwaukee Tunnel Material

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FIGURE 15. - Mehr Diagram for Milwaukee Tunnel Material