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Compliant Mechanisms

ISBN-10: 047138478X
ISBN-13: 9780471384786
Edition: 2002
Authors: Larry L. Howell
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Description: With fewer parts and greater precision and reliability than traditional mechanisms, compliant mechanisms are quickly emerging as an important and rapidly growing area in mechanical design. This book comprehensively covers the subject.

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Book details

Copyright year: 2002
Publisher: John Wiley & Sons, Incorporated
Publication date: 8/3/2001
Binding: Hardcover
Pages: 480
Size: 6.25" wide x 9.50" long x 1.00" tall
Weight: 2.112
Language: English

With fewer parts and greater precision and reliability than traditional mechanisms, compliant mechanisms are quickly emerging as an important and rapidly growing area in mechanical design. This book comprehensively covers the subject.

Preface
Introduction
Advantages of Compliant Mechanisms
Challenges of Compliant Mechanisms
Historical Background
Compliant Mechanisms and Nature
Nomenclature and Diagrams
Compliant Mechanisms versus Compliant Structures
Nomenclature
Diagrams
Compliant MEMS
Problems
Flexibility and Deflection
Linear versus Nonlinear Deflections
Stiffness and Strength
Flexibility
Displacement versus Force Loads
Material Considerations
Maximum Deflection for a Flexible Beam
Ratio of Strength to Young's Modulus
Other Material Selection Criteria
Creep and Stress Relaxation
Linear Elastic Deflections
Energy Storage
Stress Stiffening
Large-Deflection Analysis
Beam with Moment End Load
Elliptic-Integral Solutions
Numerical Methods
Problems
Failure Prevention
Stress
Principal Stresses
Stress Concentrations
Static Failure
Ductile Materials
Brittle Materials
Fatigue Failure
Fatigue Basics
Fatigue Failure Prediction
Estimating Endurance Limit and Fatigue Strength
Endurance Limit and Fatigue Strength Modification Factors
Surface Factor
Size Factor
Load Factor
Reliability
Miscellaneous Effects
Completely Reversed Loading
Fluctuating Stresses
Fatigue of Polymers
Testing
Problems
Rigid-Link Mechanisms
Introduction
Mobility
Kinematic Chains and Inversions
Classification of Four-Bar Mechanisms
Mechanical Advantage
Position Analysis
Four-Bar Mechanism: Closed-Form Equations
Slider-Crank Mechanism: Closed-Form Equations
Complex Number Method
Velocity and Acceleration
Kinematic Coefficients
Four-Bar Kinematic Coefficients
Slider-Crank Kinematic Coefficients
Mechanism Synthesis
Function Generation
Path Generation
Motion Generation
Problems
Pseudo-Rigid-Body Model
Small-Length Flexural Pivots
Active and Passive Forces
Stress
Living Hinges
Cantilever Beam with a Force at the Free End (Fixed-Pinned)
Parametric Approximation of the Beam's Deflection Path
Characteristic Radius Factor
Coordinates of Beam End
Rule of Thumb for Characteristic Radius Factor
Angular Deflection Approximation
Stiffness Coefficient
Torsional Spring Constant
Stress
Practical Implementation of Fixed-Pinned Segments
Fixed-Guided Flexible Segment
End-Moment Loading
Initially Curved Cantilever Beam
Stiffness Coefficient for Initially Curved Beams
Stress for Initially Curved Beams
Pinned-Pinned Segment
Initially Curved Pinned-Pinned Segments
Segment with Force and Moment (Fixed-Fixed)
Loading Cases
Other Methods of Pin Joint Simulation
Living Hinges
Passive Joints
Q-Joints
Cross-Axis Flexural Pivots
Torsional Hinges
Split-Tube Flexures
Modeling of Mechanisms
Examples
Use of Commercial Mechanism Analysis Software
Problems
Force-Deflection Relationships
Free-Body Diagram Approach
Generalized Coordinates
Work and Energy
Virtual Displacements and Virtual Work
Principle of Virtual Work
Application of the Principle of Virtual Work
Spring Function for Fixed-Pinned Members
Pseudo-Rigid-Body Four-Bar Mechanism
Pseudo-Rigid-Body Slider Mechanism
Multi-Degree-of-Freedom Mechanisms
Conclusions
Problems
Numerical Methods
Finite Element Analysis
Chain Algorithm
Shooting Method
Compliant Mechanism Synthesis
Rigid-Body Replacement (Kinematic) Synthesis
Loop Closure Equations
Synthesis with Compliance: Kinetostatic Synthesis
Additional Equations and Unknowns
Coupling of Equations
Design Constraints
Special Case of [Thetas subscript o] = [Thetas subscript j]
Other Synthesis Methods
Burmester Theory for Finite Displacements
Infinitesimal Displacements
Optimization of Pseudo-Rigid-Body Model
Optimization
Problems
Optimal Synthesis with Continuum Models
Introduction
Distributed Compliance
Continuum Models
Elastostatic Analysis Using the Finite Element Method
Structural Optimization
Formulation of the Optimization Problem
Objective Function, Constraints, and Design Variables
Measures of Stiffness and Flexibility
Multicriteria Formulations
Size, Shape, and Topology Optimization
Size Optimization
Shape Optimization
Topology Optimization
Computational Aspects
Optimization Algorithms
Sensitivity Analysis
Optimality Criteria Methods
Derivation of the Optimality Criterion
Solution Procedure
Examples
Conclusion
Acknowledgments
Problems
Special-Purpose Mechanisms
Compliant Constant-Force Mechanisms
Pseudo-Rigid-Body Model of Compliant Slider Mechanisms
Dimensional Synthesis
Determination of Force Magnitude
Examples
Estimation of Flexural Pivot Stress
Examples
Parallel Mechanisms
Compliant Parallel-Guiding Mechanisms
Applications
Pseudo-Rigid-Body Model
Additional Design Considerations
Problems
Bistable Mechanisms
Stability
Compliant Bistable Mechanisms
Four-Link Mechanisms
Energy Equations
Requirements for Bistable Behavior
Young Bistable Mechanisms
Slider-Crank or Slider-Rocker Mechanisms
Energy Equations
Requirements for Bistable Behavior
Examples for Various Spring Positions
Double-Slider Mechanisms
Double-Slider Mechanisms with a Pin Joining the Sliders
Double-Slider Mechanisms with a Link Joining the Sliders
Requirements for Bistable Behavior
Snap-Through Buckled Beams
Bistable Cam Mechanisms
Problems
References
Properties of Sections
Rectangle
Circle
Hollow Circle
Solid Semicircle
Right Triangle
I Beam with Equal Flanges
Material Properties
Linear Elastic Beam Deflections
Cantilever Beam with a Force at the Free End
Cantilever Beam with a Force Along the Length
Cantilever Beam with a Uniformly Distributed Load
Cantilever Beam with a Moment at the Free End
Simply Supported Beam with a Force at the Center
Simply Supported Beam with a Force Along the Length
Simply Supported Beam with a Uniformly Distributed Load
Beam with One End Fixed and the Other End Simply Supported
Beam with Fixed Ends and a Center Load
Beam with Fixed Ends and a Uniformly Distributed Load
Beam with One End Fixed and the Other End Guided
Pseudo-Rigid-Body Models
Small-Length Flexural Pivot
Vertical Force at the Free End of a Cantilever Beam
Cantilever Beam with a Force at the Free End
Fixed-Guided Beam
Cantilever Beam with an Applied Moment at the Free End
Initially Curved Cantilever Beam
Pinned-Pinned Segments
Initially Curved Pinned-Pinned Segments
Combined Force-Moment End Loading
Evaluation of Elliptic Integrals
Type Synthesis of Compliant Mechanisms
Matrix Representation for Rigid-Link Mechanisms
Compliant Mechanism Matrices
Segment-Type Designation
Connection-Type Designation
Examples
Determination of Isomorphic Mechanisms
Rigid-Body Isomorphic Detection Techniques
Isomorphism Detection for compliant Mechanisms
Type Synthesis
Determination of Design Requirements
Topological Synthesis of Compliant Mechanisms
Segment-Type Enumeration
Connection-Type Enumeration
Combined Segment and Connection-Type Results
Formation of Compliant Mechanisms
Examples
Discussion
Index

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