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I JSRD - I nternational Journal for Scientifi c Research & Development| Vol. 1, I ssue 9, 2013 | ISSN (onli ne): 2321-0613 All rights reserved by www.ijsrd.com 2027 Stress Analysis and Design Modification of 3-stage Helical Gear Box Casing Patel Mitesh S. R.M.S. Polytechnic, Vadodara, Gujarat, India  Abstract  — the finite element analysis of 3 stage helical gearbox that constitutes the driving mechanism of a double  bascule movable bridge was performed. The triple reduction helical gearbox was made of ASTM A36 Steel. The triple reduction helical gearbox was a three stage gearbox transmitting 112.5 H.P. at 174 rpm with a reduction ratio of 71.05:1. The Differential gearbox was a single stage gearbox transmitting 150 H.P. at 870 rpm with reduction ratio of 5:1 The load calculation for helical, herringbone, and  bevel gears were performed using the MATHCAD Software  package. The reactions were used to apply loads to the finite element model of housing (casing). Geometric model of 3 stage helical gearbox was built using NX-8 and meshed using the ANSYS finite element program. Linear structural analysis was performed using a combination of shell and solid elements to determine the deflection and to estimate the stress distribution in the housing. Nonlinear analysis was later performed using shell, solid, and beam & gap elements to determine if the interface between the two halves of the housing separated and contributed to any undesirable misalignments of the shafts or bearings. In the triple reduction gearbox, the axial forces caused a maximum displacement 0.05588 cm. The location and magnitude of the displacements would not contribute to the undesirable misalignment of the shafts and bearings. The maximum von Misses stress in the triple reduction gearbox was 9000 psi. The minimum factor of safety in the triple reduction gearbox was four. The nonlinear analysis determined that separation did not occur on the interface  between the two halves of the gearbox housings. I. INTRODUCTION This thesis focuses on the force, deflection, and stress analysis 3 stage helical gearbox housing designed and manufactured by steward machine company, Birmingham, Alabama. These gearboxes are designed for high torque and low speed applications for operating movable bridges, heavy hoisting machinery, or other lifting mechanisms. The helical and herringbone-bevel combination gearbox housings analyzed in this thesis form the driving mechanism of a double bascule movable bridge. II. MOVABLE BRIDGES Movable bridges are generally constructed over waterways where it is difficult to build a fixed bridge high enough for water traffic to pass under it. The common types of movable  bridges are the lifting, bascule, and swing bridges. The  bascule bridge is similar to the ancient drawbridge both in appearance and operation. It may be in one span or in two halves meeting at the center. It consists of a rigid structure Fig. 1: Single Leaf Bascule Bridge [2] Mounted at the abutment of a horizontal shaft about which it swings in a vertical arc. A single leaf bascule bridge is shown in Fig.1. The need for large counterweights and the  presence of high stresses in the hoisting machinery limit the span of bascule bridges. The largest constructed span of a double-leaf bridge is 336 ft [1]. A double Bascule bridge has two leafs on each side and a total of four leafs that open and close when the bridge is opened and closed. An AC motor drives the differential gearbox D of a double bascule bridge shown in the block diagram of Figure 1.2. The AC motors are typically rated for 15-150 h.p. at 870 rpm. The differential gearbox D drives the triple reduction gearboxes T on both sides, which in turn drive the main pinion P. The main pinion drives the rack R attached to the leaf of the  bridge. The differential gearbox allows equal load distribution between the two output shafts. It consists of herringbone, helical, and bevel gears. The triple reduction gearbox consists of helical gears. A photograph showing the operating gearbox mechanism of a single leaf movable  bridge is shown in Fig. 2. Fig. 2: Block Diagram of an operating Mechanism of a Double Bascule Bridge

Stress Analysis and Design Modification of 3-stage Helical Gear Box Casing

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the finite element analysis of 3 stage helical gearbox that constitutes the driving mechanism of a double bascule movable bridge was performed. The triple reduction helical gearbox was made of ASTM A36 Steel. The triple reduction helical gearbox was a three stage gearbox transmitting 112.5 H.P. at 174 rpm with a reduction ratio of 71.05:1. The Differential gearbox was a single stage gearbox transmitting 150 H.P. at 870 rpm with reduction ratio of 5:1 The load calculation for helical, herringbone, and bevel gears were performed using the MATHCAD Software package. The reactions were used to apply loads to the finite element model of housing (casing). Geometric model of 3 stage helical gearbox was built using NX-8 and meshed using the ANSYS finite element program. Linear structural analysis was performed using a combination of shell and solid elements to determine the deflection and to estimate the stress distribution in the housing. Nonlinear analysis was later performed using shell, solid, and beam & gap elements to determine if the interface between the two halves of the housing separated and contributed to any undesirable misalignments of the shafts or bearings. In the triple reduction gearbox, the axial forces caused a maximum displacement 0.05588 cm. The location and magnitude of the displacements would not contribute to the undesirable misalignment of the shafts and bearings. The maximum von Misses stress in the triple reduction gearbox was 9000 psi. The minimum factor of safety in the triple reduction gearbox was four. The nonlinear analysis determined that separation did not occur on the interface between the two halves of the gearbox housings.

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  • IJSRD - International Journal for Scientific Research & Development| Vol. 1, Issue 9, 2013 | ISSN (online): 2321-0613

    All rights reserved by www.ijsrd.com 2027

    Stress Analysis and Design Modification of 3-stage Helical Gear Box Casing

    Patel Mitesh S. R.M.S. Polytechnic, Vadodara, Gujarat, India

    Abstractthe finite element analysis of 3 stage helical gearbox that constitutes the driving mechanism of a double

    bascule movable bridge was performed. The triple reduction

    helical gearbox was made of ASTM A36 Steel. The triple

    reduction helical gearbox was a three stage gearbox

    transmitting 112.5 H.P. at 174 rpm with a reduction ratio of

    71.05:1. The Differential gearbox was a single stage

    gearbox transmitting 150 H.P. at 870 rpm with reduction

    ratio of 5:1

    The load calculation for helical, herringbone, and

    bevel gears were performed using the MATHCAD Software

    package. The reactions were used to apply loads to the finite

    element model of housing (casing). Geometric model of 3

    stage helical gearbox was built using NX-8 and meshed

    using the ANSYS finite element program. Linear structural

    analysis was performed using a combination of shell and

    solid elements to determine the deflection and to estimate

    the stress distribution in the housing. Nonlinear analysis was

    later performed using shell, solid, and beam & gap elements

    to determine if the interface between the two halves of the

    housing separated and contributed to any undesirable

    misalignments of the shafts or bearings.

    In the triple reduction gearbox, the axial forces

    caused a maximum displacement 0.05588 cm. The location

    and magnitude of the displacements would not contribute to

    the undesirable misalignment of the shafts and bearings. The

    maximum von Misses stress in the triple reduction gearbox

    was 9000 psi. The minimum factor of safety in the triple

    reduction gearbox was four. The nonlinear analysis

    determined that separation did not occur on the interface

    between the two halves of the gearbox housings.

    I. INTRODUCTION

    This thesis focuses on the force, deflection, and stress

    analysis 3 stage helical gearbox housing designed and

    manufactured by steward machine company, Birmingham,

    Alabama. These gearboxes are designed for high torque and

    low speed applications for operating movable bridges, heavy

    hoisting machinery, or other lifting mechanisms. The helical

    and herringbone-bevel combination gearbox housings

    analyzed in this thesis form the driving mechanism of a

    double bascule movable bridge.

    II. MOVABLE BRIDGES

    Movable bridges are generally constructed over waterways

    where it is difficult to build a fixed bridge high enough for

    water traffic to pass under it. The common types of movable

    bridges are the lifting, bascule, and swing bridges. The

    bascule bridge is similar to the ancient drawbridge both in

    appearance and operation. It may be in one span or in two

    halves meeting at the center. It consists of a rigid structure

    Fig. 1: Single Leaf Bascule Bridge [2]

    Mounted at the abutment of a horizontal shaft about which it

    swings in a vertical arc. A single leaf bascule bridge is

    shown in Fig.1. The need for large counterweights and the

    presence of high stresses in the hoisting machinery limit the

    span of bascule bridges. The largest constructed span of a

    double-leaf bridge is 336 ft [1]. A double Bascule bridge has

    two leafs on each side and a total of four leafs that open and

    close when the bridge is opened and closed. An AC motor

    drives the differential gearbox D of a double bascule bridge

    shown in the block diagram of Figure 1.2. The AC motors

    are typically rated for 15-150 h.p. at 870 rpm. The

    differential gearbox D drives the triple reduction gearboxes

    T on both sides, which in turn drive the main pinion P. The

    main pinion drives the rack R attached to the leaf of the

    bridge. The differential gearbox allows equal load

    distribution between the two output shafts. It consists of

    herringbone, helical, and bevel gears. The triple reduction

    gearbox consists of helical gears. A photograph showing the

    operating gearbox mechanism of a single leaf movable

    bridge is shown in Fig. 2.

    Fig. 2: Block Diagram of an operating Mechanism of a

    Double Bascule Bridge

  • Stress Analysis and Design Modification of 3-stage Helical Gear Box Casing

    (IJSRD/Vol. 1/Issue 9/2013/0086)

    All rights reserved by www.ijsrd.com 2028

    REFERENCES

    [1] Design of Gearbox nptel by Indian Institute of technology, Madras

    [2] Strength of Materials by R.S. Khurmi [3] Strength of Materials by R.K. Rajput [4] Yi Mei, FangpingWang, "Finite Element analysis on

    Thermal Structures of Heavy Machinery Gearbox"

    [5] Tushar. N. Khobrade, P. Pridarshni STATIC ANALYSIS OF GEAR BOX CASING Aurangabad

    [6] Practical Finite Element Analysis by Nitin S. Gokhale. [7] Finite Element Modelling for Stress Analysis by Robert

    D. Coo