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MICROMIRROR DESIGN USING SANDIA SUMMIT TOOLS
GE 4230: Design and Fabrication of MEMS Dr. Osama Jadaan
University of Wisconsin – Platteville Jon Zickermann
December 12, 2011
Abstract: Structural and modal finite element analysis (FEA) simulations were ran on the micromirror created in the previous project using ANSYS Workbench. The structural simulation determined the stresses and deformation of the mirror at 10° and if the mirror will fail at 5°. The modal analysis determined six resonant frequencies and corresponding modal shapes for each frequency.
1
TABLE OF CONTENTS Objective . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Development . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Loads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
2
OBJECTIVE Although the Sandia SUMMiT V tools allowed for the creation of a MEMS device, there is no certainty how the device will behave when a load is applied. To avoid high costs in real -world testing, the 3d model generated in AutoCAD can be imported into ANSYS workbench and real-world physics can be applied. For the torsional micromirror, a structural simulation was needed to determined the stresses and deformation of the mirror at 10° and if the mirror will fail at 5°. The modal analysis was needed to determine six resonant frequencies and corresponding modal shapes and deformation at each frequency.
DEVELOPMENT The first step to creating the simulation was to create a mesh for the model. Originally,
the imported model contained over 100,000 nodes, which was far too many for a simulation requiring a simple load for a design that would not be used in production; t oo many nodes for model only used to demonstrate the knowledge of using ANSYS Workbench. To reduce the number of nodes, mapped face shaping and body sizing operations were applied to cut down on the number of nodes from to about 50,000. The body sizes were around 100 µm for the substrate and closer to 10 µm for more vital structures such as the supports for the spring. Since the spring was the main focus of the simulation, the spring only received mapped face meshing.
The next was to fix the connections automatically generated by Workbench. By default, there were too many connections between objects that never made contact, such as the Poly0 layer to the spring. After, the contact tool was run and many connections were manually fixed since the simulation considered the connections to lack contact even if the two bodies were touching. This proved to fix problems with the simulation reporting errors with structures not initial contact.
Afterwards, the loads and supports were applied. For the static structural analysis, the Poly 0 layer was used as the fixed support to simplify and reduce the time to solve. The load was determined to be a 0.36117µN*µN moment. A moment was chosen since using a force resulted in the mirror bending downwards in both directions. The 0.36117µN*µN moment was determined experimentally from 3 separate moments and their deformations and the equation determined from the linear regression in excel (see appendix fig 1). For the modal analysis, the spring supports were assumed to be a fixed load due to the rigid body motion that resulted with only the substrate acting as a fixed support.
3
3D MODEL:
MESH:
4
STRESS IMAGES:
5
6
DEFORMATION IMAGES:
7
MODAL DEFORMATION RESULTS:
8
9
10
RESULTS Static Structural Results:
Object Name Maximum
Principal Stress Maximum
Principal Stress 2 Maximum
Principal Stress 3 Maximum
Principal Stress 4 Total
Deformation
Scope
Scoping Method
Geometry Selection
Geometry All Bodies 1 Body 2 Bodies All Bodies
Results
Minimum -1.5729e-003
MPa -2.2717e-004
MPa -1.5729e-003
MPa -5.3634e-004
MPa 0. µm
Maximum 6.277e-003 MPa 1.1628e-003
MPa 6.277e-003 MPa
1.5247e-003 MPa
19.164 µm
Minimum Occurs On
Spring Part 6 Poly0
Maximum Occurs On
Spring Part 6 Plate
Modal Results:
Type Total Deformation
Mode 1. 2. 3. 4. 5.
Identifier
Results
Minimum 0. µm
Maximum 1.3285e+005
µm 1.4596e+005
µm 2.0527e+005
µm 2.1181e+005
µm 2.1742e+005
µm
Minimum Occurs On
Substrate
Maximum Occurs On
Plate
Information
Reported Frequency
2.7379e-004 MHz
3.7744e-004 MHz
5.2514e-004 MHz
5.624e-004 MHz
9.1669e-004 MHz
DISCUSSION In the static structural tests, the maximum observed stresses were only 6Pa, far below
the yield of any material used in MEMS if the mirror was deformed to 10 degrees. Therefore, the mirror should not fracture at 5 degrees under normal operation. Looking at the images from the moment tests, the mirror will not be able to work since the mirror does not bend uniformly; the mirror looks like it twists rather than rotates. This is a result from oversupporting the spring to the Poly1 layer below. Originally there was a concern about the first design’s spring sagging without any loads, however the simulation could not be run in the design phase of the first project one due to lack of experience with ANSYS Workbench. If this design was to be used in real life, the supports would have to be removed to allow the mirror to rotate.
In the modal analysis, each frequency had a unique shape following one of three patterns: bending at the sides that were perpendicular to the supporting Poly1 layer structure, bending at the corners and bending both at the sides and corners. The shapes of the
11
deformation became more extreme as the frequency increased, slowing turning from a simple deformation similar to the static force where both sides deformed in the downward direction, to a complex deformation where all corners and both sides were deformed. In addition, the resonant frequencies occurred only at extremely high frequencies, where the lowest was reported at 2.7GHz, far lower than any mechanical vibration in a typical envi ronment. This could possibly be a result from the over-engineering done on the spring’s support structure.
CONCLUSION The results from Workbench conformed to the primary concern of the design - would
the design be strong enough to withstand a load strong enough to bend the mirror 10 degrees? From the FEA simulation, the answer was yes. However, the design would not be practical since the mirror does not rotate – instead, it bends and twists. This would not allow the mirror to reflect the total amount of light emitted. Looking at the animations and images from the simulation from both the structural and modal modes, the mirror was over-engineered from the fear of fracture. Therefore, the design needs to be re-considered with less support, requiring more testing and redesigns before this mirror should be considered for production . APPENDIX Fig 1: Moment Calculation: Distance for 10 degree angle:
Moment calculation: Torque vs Deformation
Deformation Moment
12 0.23
15.98 0.3
19 0.36
Required Moment
19.22 0.36117
y = 0.0185x + 0.0056
0.2
0.25
0.3
0.35
0.4
10 12 14 16 18 20
Def
orm
atio
n (μ
m)
Moment (μN*μm)
Torque vs Deformation
Fig 2: Preprocessing Data: Units
12
TABLE 1
Unit System Metric (µm, kg, µN, s, V, mA) Degrees rad/s Celsius
Angle Degrees
Rotational Velocity rad/s
Temperature Celsius
Mirror (A4, B4) Geometry
TABLE 2 Mirror (A4, B4) > Geometry
Object Name Geometry
State Fully Defined
Definition
Source J:\GE423\Micromirror\3d6\3d6.sat
Type ACIS
Length Unit Micrometers
Element Control Manual
Display Style Part Color
Bounding Box
Length X 330. µm
Length Y 252. µm
Length Z 15.73 µm
Properties
Volume 4.0907e+005 µm³
Mass 9.5314e-010 kg
Scale Factor Value 1.
Statistics
Bodies 20
Active Bodies 20
Nodes 63251
Elements 20598
Mesh Metric None
Preferences
Import Solid Bodies Yes
Import Surface Bodies Yes
Import Line Bodies No
Parameter Processing Yes
Personal Parameter Key DS
CAD Attribute Transfer No
Named Selection Processing No
Material Properties Transfer No
CAD Associativity Yes
Import Coordinate Systems No
Reader Save Part File No
Import Using Instances Yes
Do Smart Update No
Attach File Via Temp File Yes
Temporary Directory C:\Documents and Settings\Student\Application Data\Ansys\v121
Analysis Type 3-D
Mixed Import Resolution None
13
Enclosure and Symmetry Processing Yes
TABLE 3 Mirror (A4, B4) > Geometry > Parts
Object Name Substrate Thermal Electrical
State Meshed
Graphics Properties
Visible Yes
Transparency 1
Definition
Suppressed No
Stiffness Behavior Flexible
Brick Integration Scheme Full
Coordinate System Default Coordinate System
Reference Temperature By Environment
Material
Assignment Silicon Anisotropic
Nonlinear Effects Yes
Thermal Strain Effects Yes
Bounding Box
Length X 330. µm
Length Y 252. µm
Length Z 1. µm 0.63 µm 0.8 µm
Properties
Volume 83160 µm³ 52391 µm³ 66528 µm³
Mass 1.9376e-010 kg 1.2207e-010 kg 1.5501e-010 kg
Centroid X 2212.2 µm
Centroid Y 1511.1 µm
Centroid Z 0.5 µm 1.315 µm 2.03 µm
Moment of Inertia Ip1 1.0254e-006 kg·µm² 6.46e-007 kg·µm² 8.2032e-007 kg·µm²
Moment of Inertia Ip2 1.7584e-006 kg·µm² 1.1078e-006 kg·µm² 1.4067e-006 kg·µm²
Moment of Inertia Ip3 2.7838e-006 kg·µm² 1.7538e-006 kg·µm² 2.227e-006 kg·µm²
Statistics
Nodes 287 5888
Elements 32 800
Mesh Metric None
TABLE 4 Mirror (A4, B4) > Geometry > Body Groups
Object Name Part 4 Part 5 Part 6 Base
State Meshed
Graphics Properties
Visible Yes
Definition
Suppressed No
Assignment Silicon Anisotropic
Coordinate System Default Coordinate System
Bounding Box
Length X 330. µm 310. µm 294. µm 310. µm
Length Y 252. µm 232. µm 226. µm 232. µm
Length Z 0.3 µm 3. µm 1.61 µm 3.5 µm
14
Properties
Volume 24947 µm³ 20793 µm³ 129.29 µm³ 29970 µm³
Mass 5.8127e-011 kg 4.8448e-011 kg 3.0124e-013 kg 6.9831e-011 kg
Centroid X 0. µm 2335.5 µm 2212.2 µm
Centroid Y 0. µm 1511.6 µm
Centroid Z 0. µm 5.1149 µm 4.535 µm 6.4504 µm
Moment of Inertia Ip1 0. kg·µm² 9.1465e-008 kg·µm² 2.2198e-009 kg·µm² 2.6271e-007 kg·µm²
Moment of Inertia Ip2 0. kg·µm² 1.393e-008 kg·µm² 5.3446e-009 kg·µm² 1.1088e-006 kg·µm²
Moment of Inertia Ip3 0. kg·µm² 1.0538e-007 kg·µm² 7.5643e-009 kg·µm² 1.3715e-006 kg·µm²
Statistics
Nodes 12071 5533 2784 4118
Elements 1664 2471 272 1918
Mesh Metric None
TABLE 5 Mirror (A4, B4) > Geometry > Part 4 > Parts
Object Name Poly0
State Meshed
Graphics Properties
Visible Yes
Transparency 1
Definition
Suppressed No
Stiffness Behavior Flexible
Brick Integration Scheme Full
Coordinate System Default Coordinate System
Reference Temperature By Environment
Material
Assignment Silicon Anisotropic
Nonlinear Effects Yes
Thermal Strain Effects Yes
Bounding Box
Length X 330. µm
Length Y 252. µm
Length Z 0.3 µm
Properties
Volume 24947 µm³
Mass 5.8127e-011 kg
Centroid X 2212.2 µm
Centroid Y 1511.1 µm
Centroid Z 2.58 µm
Moment of Inertia Ip1 3.076e-007 kg·µm²
Moment of Inertia Ip2 5.2749e-007 kg·µm²
Moment of Inertia Ip3 8.3509e-007 kg·µm²
Statistics
Nodes 12071
Elements 1664
Mesh Metric None
TABLE 6 Mirror (A4, B4) > Geometry > Part 5 > Parts
15
Object Name Part 5 Part 6
State Fully Defined
Graphics Properties
Visible Yes
Transparency 1
Definition
Suppressed No
Stiffness Behavior Flexible
Brick Integration Scheme Full
Coordinate System Default Coordinate System
Reference Temperature By Environment
Material
Assignment Silicon Anisotropic
Nonlinear Effects Yes
Thermal Strain Effects Yes
Bounding Box
Length X 110. µm
Length Y 232. µm
Length Z 3. µm
Properties
Volume 10397 µm³
Mass 2.4224e-011 kg
Centroid X 2088.9 µm 2335.5 µm
Centroid Y 1511.6 µm
Centroid Z 5.1149 µm
Moment of Inertia Ip1 9.1268e-008 kg·µm² 9.1465e-008 kg·µm²
Moment of Inertia Ip2 1.393e-008 kg·µm²
Moment of Inertia Ip3 1.0518e-007 kg·µm² 1.0538e-007 kg·µm²
Statistics
Nodes 2759 2774
Elements 1233 1238
Mesh Metric None
TABLE 7 Mirror (A4, B4) > Geometry > Part 6 > Parts
Object Name Part 7 Part 8 Part 9 Part 10 Part 11
State Fully Defined
Graphics Properties
Visible Yes
Transparency 1
Definition
Suppressed No
Stiffness Behavior Flexible
Brick Integration Scheme Full
Coordinate System Default Coordinate System
Reference Temperature By Environment
Material
Assignment Silicon Anisotropic
Nonlinear Effects Yes
Thermal Strain Effects Yes
16
Bounding Box
Length X 19.859 µm 1.9998 µm 19.859 µm
Length Y 1.9999 µm
Length Z 1.61 µm
Properties
Volume 15.518 µm³ 2.5727 µm³ 15.518 µm³
Mass 3.6156e-014 kg 5.9944e-015 kg 3.6156e-014 kg
Centroid X 2079.7 µm 2344.7 µm 2358.2 µm 2079.7 µm
Centroid Y 1401.6 µm 1621.6 µm 1456.6 µm 1511.6 µm 1456.6 µm
Centroid Z 4.535 µm
Moment of Inertia Ip1 3.4886e-014 kg·µm² 4.4923e-015 kg·µm² 3.4886e-014 kg·µm²
Moment of Inertia Ip2 1.3623e-012 kg·µm² 4.4934e-015 kg·µm² 1.3623e-012 kg·µm²
Moment of Inertia Ip3 1.3816e-012 kg·µm² 6.3961e-015 kg·µm² 1.3816e-012 kg·µm²
Statistics
Nodes 324 96 324
Elements 32 8 32
Mesh Metric None
TABLE 8 Mirror (A4, B4) > Geometry > Part 6 > Parts
Object Name Part 12 Part 13 Part 14 Part 15 Part 16
State Fully Defined
Graphics Properties
Visible Yes
Transparency 1
Definition
Suppressed No
Stiffness Behavior Flexible
Brick Integration Scheme Full
Coordinate System Default Coordinate System
Reference Temperature By Environment
Material
Assignment Silicon Anisotropic
Nonlinear Effects Yes
Thermal Strain Effects Yes
Bounding Box
Length X 19.859 µm 1.9998 µm 19.859 µm
Length Y 1.9999 µm
Length Z 1.61 µm
Properties
Volume 15.518 µm³ 2.5727 µm³ 15.518 µm³
Mass 3.6156e-014 kg 5.9944e-015 kg 3.6156e-014 kg
Centroid X 2344.7 µm 2079.7 µm 2066.2 µm 2344.7 µm
Centroid Y 1566.6 µm 1511.6 µm 1623.6 µm 1399.6 µm
Centroid Z 4.535 µm
Moment of Inertia Ip1 3.4886e-014 kg·µm² 4.4923e-015 kg·µm² 3.4886e-014 kg·µm²
Moment of Inertia Ip2 1.3623e-012 kg·µm² 4.4929e-015 kg·µm² 1.3623e-012 kg·µm²
Moment of Inertia Ip3 1.3816e-012 kg·µm² 6.3956e-015 kg·µm² 1.3816e-012 kg·µm²
Statistics
Nodes 324 96 324
17
Elements 32 8 32
Mesh Metric None
TABLE 9 Mirror (A4, B4) > Geometry > Base > Parts
Object Name Right Left
State Fully Defined
Graphics Properties
Visible Yes
Transparency 1
Definition
Suppressed No
Stiffness Behavior Flexible
Brick Integration Scheme Full
Coordinate System Default Coordinate System
Reference Temperature By Environment
Material
Assignment Silicon Anisotropic
Nonlinear Effects Yes
Thermal Strain Effects Yes
Bounding Box
Length X 110. µm
Length Y 232. µm
Length Z 3.5 µm
Properties
Volume 14985 µm³
Mass 3.4915e-011 kg
Centroid X 2088.4 µm 2336.1 µm
Centroid Y 1511.6 µm
Centroid Z 6.4504 µm
Moment of Inertia Ip1 1.3129e-007 kg·µm² 1.3142e-007 kg·µm²
Moment of Inertia Ip2 1.897e-008 kg·µm²
Moment of Inertia Ip3 1.5024e-007 kg·µm² 1.5037e-007 kg·µm²
Statistics
Nodes 2088 2030
Elements 979 939
Mesh Metric None
TABLE 10 Mirror (A4, B4) > Geometry > Parts
Object Name Spring Plate
State Meshed
Graphics Properties
Visible Yes
Transparency 1
Definition
Suppressed No
Stiffness Behavior Flexible
Brick Integration Scheme Full
Coordinate System Default Coordinate System
Reference Temperature By Environment
18
Material
Assignment Silicon Anisotropic
Nonlinear Effects Yes
Thermal Strain Effects Yes
Bounding Box
Length X 300. µm 216. µm
Length Y 60. µm 218. µm
Length Z 4.25 µm
Properties
Volume 28294 µm³ 1.0286e+005 µm³
Mass 6.5925e-011 kg 2.3966e-010 kg
Centroid X 2212.2 µm
Centroid Y 1511.6 µm
Centroid Z 10.299 µm 14.561 µm
Moment of Inertia Ip1 2.0043e-008 kg·µm² 9.4902e-007 kg·µm²
Moment of Inertia Ip2 2.6827e-007 kg·µm² 9.0172e-007 kg·µm²
Moment of Inertia Ip3 2.8824e-007 kg·µm² 1.8505e-006 kg·µm²
Statistics
Nodes 13590 13092
Elements 6602 6039
Mesh Metric None
Coordinate Systems TABLE 11
Mirror (A4, B4) > Coordinate Systems > Coordinate System
Object Name Global Coordinate System
State Fully Defined
Definition
Type Cartesian
Ansys System Number 0.
Origin
Origin X 0. µm
Origin Y 0. µm
Origin Z 0. µm
Directional Vectors
X Axis Data [ 1. 0. 0. ]
Y Axis Data [ 0. 1. 0. ]
Z Axis Data [ 0. 0. 1. ]
Connections TABLE 12
Mirror (A4, B4) > Connections
Object Name Connections
State Fully Defined
Auto Detection
Generate Contact On Update
Yes
Tolerance Type Slider
Tolerance Slider 0.
Tolerance Value 1.0388 µm
Face/Face Yes
19
Face/Edge No
Edge/Edge No
Priority Include All
Group By Bodies
Search Across Bodies
Revolute Joints Yes
Fixed Joints Yes
Transparency
Enabled Yes
Analysis Data Management
Solver Files Directory
C:\Documents and Settings\Student\Desktop\wb\wb_files\dp0\global\MECH\SYS\Contact Tool\
TABLE 13 Mirror (A4, B4) > Connections > Contact Regions
Object Name Bonded -
Substrate To Thermal
Bonded - Thermal To Electrical
Bonded - Electrical To
Poly0
Bonded - Part 5 To Part 11
Bonded - Part 5 To Part 13
State Fully Defined
Scope
Scoping Method
Geometry Selection
Contact 1 Face 5 Faces
Target 1 Face 5 Faces
Contact Bodies
Substrate Thermal Electrical Part 5
Target Bodies
Thermal Electrical Poly0 Part 11 Part 13
Definition
Type Bonded
Scope Mode Automatic
Behavior Symmetric
Suppressed No
Advanced
Formulation Pure Penalty
Normal Stiffness
Program Controlled
Update Stiffness
Never
Pinball Region
Program Controlled
TABLE 14 Mirror (A4, B4) > Connections > Contact Regions
Object Name Bonded - Part 5
To Right Bonded - Part 6
To Part 12 Bonded - Part 6
To Part 15 Bonded - Part 6
To Part 16 Bonded - Part 7
To Right
State Fully Defined
Scope
Scoping Method
Geometry Selection
Contact 26 Faces 5 Faces
Target 46 Faces 5 Faces
20
Contact Bodies
Part 5 Part 6 Part 7
Target Bodies Right Part 12 Part 15 Part 16 Right
Definition
Type Bonded
Scope Mode Automatic
Behavior Symmetric
Suppressed No
Advanced
Formulation Pure Penalty
Normal Stiffness
Program Controlled
Update Stiffness
Never
Pinball Region
Program Controlled
TABLE 15 Mirror (A4, B4) > Connections > Contact Regions
Object Name Bonded - Part 8
To Right Bonded - Part 9
To Left Bonded - Part
10 To Left Bonded - Part 11
To Right Bonded - Part
12 To Left
State Fully Defined
Scope
Scoping Method
Geometry Selection
Contact 5 Faces
Target 5 Faces
Contact Bodies
Part 8 Part 9 Part 10 Part 11 Part 12
Target Bodies Right Left Right Left
Definition
Type Bonded
Scope Mode Automatic
Behavior Symmetric
Suppressed No
Advanced
Formulation Pure Penalty
Normal Stiffness
Program Controlled
Update Stiffness
Never
Pinball Region
Program Controlled
TABLE 16 Mirror (A4, B4) > Connections > Contact Regions
Object Name Bonded - Part 13
To Right Bonded - Part 14
To Right Bonded - Part
15 To Left Bonded - Part
16 To Left Bonded - Right
To Spring
State Fully Defined
Scope
Scoping Method
Geometry Selection
21
Contact 5 Faces 1 Face
Target 5 Faces 3 Faces
Contact Bodies
Part 13 Part 14 Part 15 Part 16 Right
Target Bodies Right Left Spring
Definition
Type Bonded
Scope Mode Automatic
Behavior Symmetric
Suppressed No
Advanced
Formulation Pure Penalty
Normal Stiffness
Program Controlled
Update Stiffness
Never
Pinball Region
Program Controlled
TABLE 17 Mirror (A4, B4) > Connections > Contact Regions
Object Name Bonded - Left
To Spring Bonded - Spring
To Plate Bonded - Part 5
To Poly0 Bonded - Part 6
To Poly0 Bonded - Part 7
To Part 5
State Fully Defined
Scope
Scoping Method
Geometry Selection
Contact 1 Face 7 Faces 4 Faces
Target 3 Faces 1 Face 5 Faces
Contact Bodies
Left Spring Part 5 Part 6 Part 7
Target Bodies Spring Plate Poly0 Part 5
Definition
Type Bonded
Scope Mode Automatic Manual
Behavior Symmetric
Suppressed No
Advanced
Formulation Pure Penalty
Normal Stiffness
Program Controlled
Update Stiffness
Never
Pinball Region
Program Controlled
TABLE 18 Mirror (A4, B4) > Connections > Contact Regions
Object Name Bonded - Part 14 To
Part 5 Bonded - Part 5 To
Part 8 Bonded - Left To
Multiple Bonded - Left To
Part 6
State Fully Defined
Scope
22
Scoping Method
Geometry Selection
Contact 4 Faces 12 Faces 1 Face
Target 4 Faces 12 Faces 1 Face
Contact Bodies Part 14 Part 5 Left
Target Bodies Part 5 Part 8 Multiple Part 6
Definition
Type Bonded
Scope Mode Manual
Behavior Symmetric
Suppressed No
Advanced
Formulation Pure Penalty
Normal Stiffness
Program Controlled
Update Stiffness
Never
Pinball Region Program Controlled
TABLE 19 Mirror (A4, B4) > Connections > Contact Tools
Object Name Contact Tool
State Solved
Scope
Scoping Method Worksheet
Mirror (A4, B4) > Connections > Contact Tool
Name Contact Side
Bonded - Substrate To Thermal Both
Bonded - Thermal To Electrical Both
Bonded - Electrical To Poly0 Both
Bonded - Part 5 To Part 11 Both
Bonded - Part 5 To Part 13 Both
Bonded - Part 5 To Right Both
Bonded - Part 6 To Part 12 Both
Bonded - Part 6 To Part 15 Both
Bonded - Part 6 To Part 16 Both
Bonded - Part 7 To Right Both
Bonded - Part 8 To Right Both
Bonded - Part 9 To Left Both
Bonded - Part 10 To Left Both
Bonded - Part 11 To Right Both
Bonded - Part 12 To Left Both
Bonded - Part 13 To Right Both
Bonded - Part 14 To Right Both
Bonded - Part 15 To Left Both
Bonded - Part 16 To Left Both
Bonded - Right To Spring Both
Bonded - Left To Spring Both
Bonded - Spring To Plate Both
Bonded - Part 5 To Poly0 Both
23
Bonded - Part 6 To Poly0 Both
TABLE 20 Mirror (A4, B4) > Connections > Contact Tool > Contact Data Tables
Object Name Initial Information
State Solved
Mirror (A4, B4) > Connections > Contact Tool > Initial Information
Name Contact Side
Type Status Number
Contacting
Penetration (µm)
Gap (µm
)
Geometric Penetratio
n (µm)
Geometric Gap (µm)
Resulting Pinball
(µm)
Real Constan
t
Bonded -
Substrate To
Thermal
Contact
Bonded
Closed
32. 0. 0. 2.2204e-
016 2.2204e-
016 3.7529 21.
Bonded -
Substrate To
Thermal
Target Bonde
d Close
d 800. 0. 0.
2.2204e-016
2.2204e-016
0.7604 22.
Bonded -
Thermal To
Electrical
Contact
Bonded
Closed
800. 0. 0. 4.4409e-
016 4.4409e-
016 0.76912 23.
Bonded -
Thermal To
Electrical
Target Bonde
d Close
d 800. 0. 0.
4.4409e-016
4.4409e-016
0.7604 24.
Bonded -
Electrical To
Poly0
Contact
Bonded
Closed
800. 0. 0. 4.4409e-
016 8.8818e-
016 0.76912 25.
Bonded -
Electrical To
Poly0
Target Bonde
d Close
d 1664. 0. 0.
1.3323e-015
8.8818e-016
0.49999 26.
Bonded - Part 5 To Part
11
Contact
Bonded
Closed
20. 0. 0. 6.8212e-
013 9.0949e-
013 0.31581 27.
Bonded - Part 5 To Part
11
Target Bonde
d Close
d 60. 0. 0.
4.5475e-013
2.2737e-013
0.26989 28.
Bonded - Part 5 To Part
13
Contact
Bonded
Closed
20. 0. 0. 4.5475e-
013 4.5475e-
013 0.31581 29.
Bonded Target Bonde Close 60. 0. 0. 4.5475e- 4.5475e- 0.26989 30.
24
- Part 5 To Part
13
d d 013 013
Bonded - Part 5 To Right
Contact
Bonded
Closed
342. 2.2737e-
013 0. 0.325 0.2251 0.68128 31.
Bonded - Part 5 To Right
Target Bonde
d Close
d 266.
2.2737e-013
0. 0.33066 0.2251 1.0985 32.
Bonded - Part 6 To Part
12
Contact
Bonded
Closed
20. 0. 0. 9.0949e-
013 4.5475e-
013 0.31803 33.
Bonded - Part 6 To Part
12
Target Bonde
d Close
d 60. 0. 0.
2.2737e-013
9.0949e-013
0.26989 34.
Bonded - Part 6 To Part
15
Contact
Bonded
Closed
20. 0. 0. 9.0949e-
013 4.5475e-
013 0.31774 35.
Bonded - Part 6 To Part
15
Target Bonde
d Close
d 60. 0. 0.
4.5475e-013
4.5475e-013
0.26989 36.
Bonded - Part 6 To Part
16
Contact
Bonded
Closed
20. 0. 0. 9.0949e-
013 9.0949e-
013 0.31774 37.
Bonded - Part 6 To Part
16
Target Bonde
d Close
d 60. 0. 0.
4.5475e-013
9.0949e-013
0.26989 38.
Bonded - Part 7 To Right
Contact
Bonded
Closed
52. 0. 0. 4.5475e-
013 2.2737e-
013 0.30566 39.
Bonded - Part 7 To Right
Target Bonde
d Close
d 16. 0. 0.
4.5475e-013
4.5475e-013
1.4671 40.
Bonded - Part 8 To Right
Contact
Bonded
Closed
52. 0. 0. 4.5475e-
013 2.2737e-
013 0.29754 41.
Bonded - Part 8 To Right
Target Bonde
d Close
d 16. 0. 0.
4.5475e-013
4.5475e-013
1.2457 42.
Bonded - Part 9 To Left
Contact
Bonded
Closed
52. 0. 0. 2.2737e-
013 4.5475e-
013 0.30566 43.
Bonded - Part 9 To Left
Target Bonde
d Close
d 16. 0. 0.
9.0949e-013
9.0949e-013
1.8976 44.
Bonded - Part 10
Contact
Bonded
Closed
16. 0. 0. 4.5475e-
013 9.0949e-
013 0.25178 45.
25
To Left
Bonded - Part 10 To Left
Target Bonde
d Close
d 36. 0. 0.
9.0949e-013
4.5475e-013
0.16123 46.
Bonded - Part 11 To Right
Contact
Bonded
Closed
52. 0. 0. 4.5475e-
013 4.5475e-
013 0.30566 47.
Bonded - Part 11 To Right
Target Bonde
d Close
d 16. 0. 0.
9.0949e-013
4.5475e-013
1.8932 48.
Bonded - Part 12 To Left
Contact
Bonded
Closed
52. 0. 0. 2.2737e-
013 4.5475e-
013 0.29754 49.
Bonded - Part 12 To Left
Target Bonde
d Close
d 16. 0. 0.
9.0949e-013
9.0949e-013
1.6997 50.
Bonded - Part 13 To Right
Contact
Bonded
Closed
52. 0. 0. 4.5475e-
013 4.5475e-
013 0.30566 51.
Bonded - Part 13 To Right
Target Bonde
d Close
d 16. 0. 0.
9.0949e-013
9.0949e-013
1.9022 52.
Bonded - Part 14 To Right
Contact
Bonded
Closed
16. 0. 0. 4.5475e-
013 4.5475e-
013 0.25178 53.
Bonded - Part 14 To Right
Target Bonde
d Close
d 36. 0. 0.
9.0949e-013
4.5475e-013
0.17247 54.
Bonded - Part 15 To Left
Contact
Bonded
Closed
52. 0. 0. 2.2737e-
013 4.5475e-
013 0.30566 55.
Bonded - Part 15 To Left
Target Bonde
d Close
d 16. 0. 0.
1.3642e-012
4.5475e-013
1.7209 56.
Bonded - Part 16 To Left
Contact
Bonded
Closed
52. 0. 0. 4.5475e-
013 4.5475e-
013 0.29754 57.
Bonded - Part 16 To Left
Target Bonde
d Close
d 16. 0. 0.
9.0949e-013
4.5475e-013
1.8058 58.
Bonded - Right
To Spring
Contact
Bonded
Closed
6. 0. 0. 8.8818e-
016 1.7764e-
015 1.2151 59.
Bonded - Right
To Spring
Target Bonde
d Close
d 98. 0. 0.
1.7764e-015
8.8818e-016
0.28404 60.
Bonded - Left To Spring
Contact
Bonded
Closed
6. 0. 0. 8.8818e-
016 0. 1.2295 61.
Bonded - Left To
Target Bonde
d Close
d 98. 0. 0.
8.8818e-016
8.8818e-016
0.27719 62.
26
Spring
Bonded - Spring To Plate
Contact
Bonded
Closed
189. 0. 0. 5.3291e-
015 1.7764e-
015 0.5566 63.
Bonded - Spring To Plate
Target Bonde
d Close
d 224. 0. 0.
1.7764e-015
7.1054e-015
0.48926 64.
Bonded - Part 5
To Poly0
Contact
Bonded
Closed
50. 0. 0. 4.4409e-
016 1.3323e-
015 0.42916 65.
Bonded - Part 5
To Poly0 Target
Bonded
Closed
28. 0. 0. 4.4409e-
016 8.8818e-
016 0.49999 66.
Bonded - Part 6
To Poly0
Contact
Bonded
Closed
50. 0. 0. 8.8818e-
016 1.3323e-
015 0.42916 67.
Bonded - Part 6
To Poly0 Target
Bonded
Closed
28. 0. 0. 0. 8.8818e-
016 0.49999 68.
Mesh TABLE 21
Mirror (A4, B4) > Mesh
Object Name Mesh
State Solved
Defaults
Physics Preference Mechanical
Relevance 0
Sizing
Use Advanced Size Function Off
Relevance Center Medium
Element Size Default
Initial Size Seed Active Assembly
Smoothing High
Transition Fast
Span Angle Center Fine
Minimum Edge Length 0.30 µm
Inflation
Use Automatic Tet Inflation None
Inflation Option Smooth Transition
Transition Ratio 0.272
Maximum Layers 5
Growth Rate 1.2
Inflation Algorithm Pre
View Advanced Options No
Advanced
Shape Checking Standard Mechanical
Element Midside Nodes Program Controlled
Straight Sided Elements No
Number of Retries Default (4)
Rigid Body Behavior Dimensionally Reduced
27
Mesh Morphing Disabled
Pinch
Pinch Tolerance Please Define
Generate on Refresh No
Statistics
Nodes 63251
Elements 20598
Mesh Metric None
TABLE 22 Mirror (A4, B4) > Mesh > Mesh Controls
Object Name Mapped Face Meshing Body Sizing Body Sizing 2 Body Sizing 3
State Ignored Fully Defined
Scope
Scoping Method Geometry Selection Geometry Selection
Geometry 6 Faces 1 Body 4 Bodies 1 Body
Definition
Suppressed No No
Constrain Boundary No
Type Element Size
Element Size 100. µm 50. µm 10. µm
Behavior Soft
Advanced
Specified Sides None
Specified Corners None
Specified Ends None
FIGURE 1 Mirror (A4, B4) > Mesh > Image
Static Structural (A5)
TABLE 23 Mirror (A4, B4) > Analysis
Object Name Static Structural (A5)
State Solved
Definition
Physics Type Structural
Analysis Type Static Structural
Solver Target ANSYS Mechanical
Options
Environment Temperature 22. °C
Generate Input Only No
TABLE 24 Mirror (A4, B4) > Static Structural (A5) > Analysis Settings
Object Name Analysis Settings
State Fully Defined
Step Controls
Number Of Steps 1.
Current Step Number 1.
Step End Time 1. s
Auto Time Stepping Program Controlled
Solver Controls
28
Solver Type Program Controlled
Weak Springs Off
Large Deflection Off
Inertia Relief Off
Nonlinear Controls
Force Convergence Program Controlled
Moment Convergence Program Controlled
Displacement Convergence Program Controlled
Rotation Convergence Program Controlled
Line Search Program Controlled
Output Controls
Calculate Stress Yes
Calculate Strain Yes
Calculate Contact No
Calculate Results At All Time Points
Analysis Data Management
Solver Files Directory C:\Documents and Settings\Student\Desktop\wb\wb_files\dp0\SYS\MECH\
Future Analysis Prestressed analysis
Scratch Solver Files Directory
Save ANSYS db Yes
Delete Unneeded Files Yes
Nonlinear Solution No
Solver Units Active System
Solver Unit System µmks
TABLE 25 Mirror (A4, B4) > Static Structural (A5) > Loads
Object Name Moment Fixed Support 4
State Fully Defined
Scope
Scoping Method Geometry Selection
Geometry 1 Face
Definition
Type Moment Fixed Support
Define By Components
Coordinate System Global Coordinate System
X Component -0.36117 µN·µm (ramped)
Y Component 0. µN·µm (ramped)
Z Component 0. µN·µm (ramped)
Suppressed No
Behavior Deformable
Advanced
Pinball Region All