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Compliant Mechanisms

Design of Flexure Hinges

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Flexure hinges hold several advantages over classical rotation joints, including no friction losses, no need for lubrication, no hysteresis, compactness, capacity to be utilized in small-scale applications, ease of fabrication, virtually no assembly, and no required maintenance. Compliant Mechanisms: Design of Flexure Hinges provides practical answers to the present and future needs of efficient design, analysis, and optimization of devices that incorporate flexure hinges. With a highly original approach the text:
Discusses new and classical types of flexure hinges (single-, two- and multiple-axis) for two- and three-dimensional applications
Addresses a wide range of industrial applications, including micro- and nano-scale mechanisms
Quantifies flexibility, precision of rotation, sensitivity to parasitic loading, energy consumption, and stress limitations through closed-form compliance equations
Offers a unitary presentation of individual flexure hinges as fully-compliant members by means of closed-form compliance (spring rates) equations
Fully defines the lumped-parameter compliance, inertia and damping properties of flexure hinges
Develops a finite element approach to compliant mechanisms by giving the elemental formulation of new flexure hinge line elements
Incorporates more advanced topics dedicated to flexure hinges including large deformations, buckling, torsion, composite flexures, shape optimization and thermal effects
Compliant Mechanisms: Design of Flexure Hinges provides practical answers and directions to the needs of efficiently designing, analyzing, and optimizing devices that include flexure hinges. It contains ready-to-use plots and simple equations describing several flexure types for the professional that needs quick solutions to current applications. The book also provides self-contained, easy-to-apply mathematical tools that provide sufficient guidance for real-time problem solving of further applications.

Introductionp. 1
Compliance-Based Design of Flexure Hingesp. 17
Introductionp. 17
Generic Mathematical Formulationp. 24
Introductionp. 24
The Reciprocity Principlep. 25
Castigliano's Displacement Theoremp. 29
Theories and Criteria of Material Failurep. 34
Single-Axis Flexure Hinges for Two-Dimensional Applicationsp. 43
Introductionp. 43
Generic Formulation and Performance Criteriap. 45
Constant Rectangular Cross-Section Flexure Hingep. 61
Circular Flexure Hingep. 63
Corner-Filleted Flexure Hingep. 67
Parabolic Flexure Hingep. 72
Hyperbolic Flexure Hingep. 76
Elliptical Flexure Hingep. 79
Inverse Parabolic Flexure Hingep. 82
Secant Flexure Hingep. 85
Verification of the Closed-Form Compliance Equationsp. 88
Numerical Simulationsp. 91
Multiple-Axis Flexure Hinges for Three-Dimensional Applicationsp. 110
Introductionp. 110
Generic Formulation and Performance Criteriap. 111
Cylindrical Flexure Hingep. 118
Circular Flexure Hingep. 119
Corner-Filleted Flexure Hingep. 120
Parabolic Flexure Hingep. 121
Hyperbolic Flexure Hingep. 122
Elliptical Flexure Hingep. 123
Inverse Parabolic Flexure Hingep. 124
Secant Flexure Hingep. 125
Limit Verification of Closed-Form Compliance Equationsp. 126
Numerical Simulationsp. 126
Two-Axis Flexure Hinges for Three-Dimensional Applicationsp. 133
Introductionp. 133
Generic Formulation and Performance Criteriap. 134
Inverse Parabolic Flexure Hingep. 138
Conclusionsp. 141
Statics of Flexure-Based Compliant Mechanismsp. 145
Introductionp. 145
Planar Compliant Mechanismsp. 150
Planar Serial Compliant Mechanismsp. 150
Planar Parallel Compliant Mechanismsp. 181
Planar Hybrid Compliant Mechanismsp. 189
Spatial Compliant Mechanismsp. 195
Spatial Serial Compliant Mechanismsp. 195
Spatial Parallel and Hybrid Compliant Mechanismsp. 198
Dynamics of Flexure-Based Compliant Mechanismsp. 207
Introductionp. 207
Elastic Potential Energy for Individual Flexure Hingesp. 211
Single-Axis Flexure Hingesp. 211
Multiple-Axis Flexure Hingesp. 213
Two-Axis Flexure Hingesp. 213
Kinetic Energy for Individual Flexure Hingesp. 214
Introduction and the Rayleigh Principlep. 214
Inertia Properties of Flexure Hinges as Long (Euler-Bernoulli) Membersp. 216
Inertia Properties of Flexure Hinges as Short (Timoshenko) Membersp. 229
Free and Forced Response of Flexure-Based Compliant Mechanismsp. 231
Introductionp. 231
Planar Flexure-Based Compliant Mechanismsp. 236
Spatial Compliant Mechanismsp. 246
Damping Effectsp. 251
Introductionp. 251
Damping Properties of Flexure Hinges as Long (Euler-Bernoulli) Membersp. 257
Damping Properties of Flexure Hinges as Short (Timoshenko) Membersp. 261
Finite-Element Formulation for Flexure Hinges and Flexure-Based Compliant Mechanismsp. 265
Introductionp. 265
Generic Formulationp. 269
Elemental Matrix Equationp. 271
Global Matrix Equation (Assembly Process)p. 272
Elemental Matrices for Flexure Hingesp. 276
Single-Axis Flexure Hinge Finite Element for Two-Dimensional Applicationsp. 277
Multiple-Axis Flexure Hinge Finite Element for Three-Dimensional Applicationsp. 285
Two-Axis Flexure Hinge Finite Element for Three-Dimensional Applicationsp. 293
Elemental Matrices for Rigid Linksp. 299
Two-Dimensional Rigid Link Modeled as a Two-Node Line Elementp. 299
Three-Dimensional Rigid Link Modeled as a Two-Node Line Elementp. 305
Application Examplep. 310
Stiffness and Mass Matrices for Single-Axis, Corner-Filleted Flexure Hinge Finite Elementsp. 317
Topics Beyond the Minimal Modeling Approach to Flexure Hingesp. 345
Large Deformationsp. 345
Bucklingp. 354
Torsion of Noncircular Cross-Section Flexure Hingesp. 365
Symmetric Single-Axis Flexure Hingesp. 367
Nonsymmetric Single-Axis Flexure Hingesp. 369
Parabolic-Profile Two-Axis Flexure Hingesp. 370
Composite Flexure Hingesp. 371
Compliance Propertiesp. 373
Inertia Propertiesp. 374
Damping Propertiesp. 375
Thermal Effectsp. 376
Errors in Compliance Factors Induced through Thermal Effectsp. 376
Compliance Aspects for Nonuniform Temperature Change: Castigliano's Displacement Theorem for Thermal Effectsp. 380
Shape Optimizationp. 382
Means of Actuationp. 390
Macro-Actuationp. 390
MEMS Actuationp. 396
Fabricationp. 400
Macroscale Fabricationp. 401
MEMS-Scale Fabricationp. 404
Applications of Flexure-Based Compliant Mechanismsp. 413
Macroscale Applicationsp. 413
Microscale (MEMS) Applicationsp. 421
Single-Flexure Microcompliant Mechanismsp. 422
Multi-Flexure Compliant Micromechanismsp. 431
Some Novel Microapplicationsp. 433
Indexp. 437
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780849313677
ISBN-10: 0849313678
Audience: General
Format: Hardcover
Language: English
Published: 27th December 2002
Dimensions (cm): 23.5 x 15.6  x 2.9
Weight (kg): 0.798