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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.
| Introduction | p. 1 |
| Compliance-Based Design of Flexure Hinges | p. 17 |
| Introduction | p. 17 |
| Generic Mathematical Formulation | p. 24 |
| Introduction | p. 24 |
| The Reciprocity Principle | p. 25 |
| Castigliano's Displacement Theorem | p. 29 |
| Theories and Criteria of Material Failure | p. 34 |
| Single-Axis Flexure Hinges for Two-Dimensional Applications | p. 43 |
| Introduction | p. 43 |
| Generic Formulation and Performance Criteria | p. 45 |
| Constant Rectangular Cross-Section Flexure Hinge | p. 61 |
| Circular Flexure Hinge | p. 63 |
| Corner-Filleted Flexure Hinge | p. 67 |
| Parabolic Flexure Hinge | p. 72 |
| Hyperbolic Flexure Hinge | p. 76 |
| Elliptical Flexure Hinge | p. 79 |
| Inverse Parabolic Flexure Hinge | p. 82 |
| Secant Flexure Hinge | p. 85 |
| Verification of the Closed-Form Compliance Equations | p. 88 |
| Numerical Simulations | p. 91 |
| Multiple-Axis Flexure Hinges for Three-Dimensional Applications | p. 110 |
| Introduction | p. 110 |
| Generic Formulation and Performance Criteria | p. 111 |
| Cylindrical Flexure Hinge | p. 118 |
| Circular Flexure Hinge | p. 119 |
| Corner-Filleted Flexure Hinge | p. 120 |
| Parabolic Flexure Hinge | p. 121 |
| Hyperbolic Flexure Hinge | p. 122 |
| Elliptical Flexure Hinge | p. 123 |
| Inverse Parabolic Flexure Hinge | p. 124 |
| Secant Flexure Hinge | p. 125 |
| Limit Verification of Closed-Form Compliance Equations | p. 126 |
| Numerical Simulations | p. 126 |
| Two-Axis Flexure Hinges for Three-Dimensional Applications | p. 133 |
| Introduction | p. 133 |
| Generic Formulation and Performance Criteria | p. 134 |
| Inverse Parabolic Flexure Hinge | p. 138 |
| Conclusions | p. 141 |
| Statics of Flexure-Based Compliant Mechanisms | p. 145 |
| Introduction | p. 145 |
| Planar Compliant Mechanisms | p. 150 |
| Planar Serial Compliant Mechanisms | p. 150 |
| Planar Parallel Compliant Mechanisms | p. 181 |
| Planar Hybrid Compliant Mechanisms | p. 189 |
| Spatial Compliant Mechanisms | p. 195 |
| Spatial Serial Compliant Mechanisms | p. 195 |
| Spatial Parallel and Hybrid Compliant Mechanisms | p. 198 |
| Dynamics of Flexure-Based Compliant Mechanisms | p. 207 |
| Introduction | p. 207 |
| Elastic Potential Energy for Individual Flexure Hinges | p. 211 |
| Single-Axis Flexure Hinges | p. 211 |
| Multiple-Axis Flexure Hinges | p. 213 |
| Two-Axis Flexure Hinges | p. 213 |
| Kinetic Energy for Individual Flexure Hinges | p. 214 |
| Introduction and the Rayleigh Principle | p. 214 |
| Inertia Properties of Flexure Hinges as Long (Euler-Bernoulli) Members | p. 216 |
| Inertia Properties of Flexure Hinges as Short (Timoshenko) Members | p. 229 |
| Free and Forced Response of Flexure-Based Compliant Mechanisms | p. 231 |
| Introduction | p. 231 |
| Planar Flexure-Based Compliant Mechanisms | p. 236 |
| Spatial Compliant Mechanisms | p. 246 |
| Damping Effects | p. 251 |
| Introduction | p. 251 |
| Damping Properties of Flexure Hinges as Long (Euler-Bernoulli) Members | p. 257 |
| Damping Properties of Flexure Hinges as Short (Timoshenko) Members | p. 261 |
| Finite-Element Formulation for Flexure Hinges and Flexure-Based Compliant Mechanisms | p. 265 |
| Introduction | p. 265 |
| Generic Formulation | p. 269 |
| Elemental Matrix Equation | p. 271 |
| Global Matrix Equation (Assembly Process) | p. 272 |
| Elemental Matrices for Flexure Hinges | p. 276 |
| Single-Axis Flexure Hinge Finite Element for Two-Dimensional Applications | p. 277 |
| Multiple-Axis Flexure Hinge Finite Element for Three-Dimensional Applications | p. 285 |
| Two-Axis Flexure Hinge Finite Element for Three-Dimensional Applications | p. 293 |
| Elemental Matrices for Rigid Links | p. 299 |
| Two-Dimensional Rigid Link Modeled as a Two-Node Line Element | p. 299 |
| Three-Dimensional Rigid Link Modeled as a Two-Node Line Element | p. 305 |
| Application Example | p. 310 |
| Stiffness and Mass Matrices for Single-Axis, Corner-Filleted Flexure Hinge Finite Elements | p. 317 |
| Topics Beyond the Minimal Modeling Approach to Flexure Hinges | p. 345 |
| Large Deformations | p. 345 |
| Buckling | p. 354 |
| Torsion of Noncircular Cross-Section Flexure Hinges | p. 365 |
| Symmetric Single-Axis Flexure Hinges | p. 367 |
| Nonsymmetric Single-Axis Flexure Hinges | p. 369 |
| Parabolic-Profile Two-Axis Flexure Hinges | p. 370 |
| Composite Flexure Hinges | p. 371 |
| Compliance Properties | p. 373 |
| Inertia Properties | p. 374 |
| Damping Properties | p. 375 |
| Thermal Effects | p. 376 |
| Errors in Compliance Factors Induced through Thermal Effects | p. 376 |
| Compliance Aspects for Nonuniform Temperature Change: Castigliano's Displacement Theorem for Thermal Effects | p. 380 |
| Shape Optimization | p. 382 |
| Means of Actuation | p. 390 |
| Macro-Actuation | p. 390 |
| MEMS Actuation | p. 396 |
| Fabrication | p. 400 |
| Macroscale Fabrication | p. 401 |
| MEMS-Scale Fabrication | p. 404 |
| Applications of Flexure-Based Compliant Mechanisms | p. 413 |
| Macroscale Applications | p. 413 |
| Microscale (MEMS) Applications | p. 421 |
| Single-Flexure Microcompliant Mechanisms | p. 422 |
| Multi-Flexure Compliant Micromechanisms | p. 431 |
| Some Novel Microapplications | p. 433 |
| Index | p. 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