Flexures : Elements of Elastic Mechanisms.

Cover
 Half Title
 Title Page
 Copyright Page
 Contents
 Preface
 Chapter 1: Introduction
 1.0 Origins
 1.1 Objective
 1.2 Advantages of flexures
 1.3 Disadvantages of flexures
 1.4 Goals of flexure design
 1.5 Design considerations
 References
 Chapter 2: Essentials
 2.0 Overview
 2.1 Basic elasticity
 2.2 Behavior of materials
 2.2.1 Metals
 2.2.2 Non-metals
 2.3 Principal stresses and strains
 2.3.1 Biaxial stress
 2.3.2 Triaxial stresses
 2.4 Non-principal stresses
 2.4.1 Plane stress
 2.4.2 Three dimensional stresses
 2.4.3 Shear stresses and shear strain
 2.5 Yield criteria. 2.5.1 Ductile materials failure criteria2.6 Fatigue
 2.6.1 SIN curves
 2.6.2 Effects of notches
 2.6.3 Effects of mean stress
 2.6.4 Damage assessment
 2.7 Bending of symmetric beams
 2.7.1 Thebendingequation
 2.7.2 Deflection of beams
 2.7.2.1 Sign convention for bending moments
 2.7.3 Moment, shear force and rate of loading relationships
 2.7.4 Singularity functions
 2.8 Torsion
 2.8.1 Torsion of a prismatic beam of circular cross section
 2.8.2 Torsion of a prismatic beam of rectangular cross section
 2.9 Mobility
 References
 Chapter 3: Rigid body dynamics
 3.0 Overview. 3.1 Generalized coordinates3.2 Properties ofvariational operators
 3.2.1 Commutation
 3.2.2 Minima of a function
 3.3 Hamilton's principle
 Example I: A simple spring mass system
 Example 2: Lateral vibration of a bar
 3.4 Lagrange's equation
 3.4.1 Rayleigh's dissipation function
 3.4.2 General use of Lagrange's equation
 3.5 Linear systems theory
 3.5.1 The simple, single degree of freedom, linear, spring-mass-damper system
 3.5.2 Some equivalent definitions of a linear system
 3.5.3 Frequency response functions
 3.6 Measuring the critical damping ratio
 3.7 General linear systems revisited. 3.8 Multi-degree of freedom linear systems3.8.1 Note on the graphical representation of frequency response functions
 3.9 General response function short cuts
 3.9.1 Rayleigh's approach to the problem of computing generalized frequency response functions
 3.9.1.1 Example of a two degree of freedom system
 3.10 Eigen analysis
 3.10.1 Conservative systems
 3.10.2 Systems with damping
 3.10.3 Interpretation of complex eigenvalues and eigenvectors
 3.10.4 Summary of primary steps in the derivation of the response function of a linear multi-degree of freedom system. 3.10.5 Example: A series, six mass vibration isolator3.10.5.1 Results
 3.11 Vibrations and natural frequencies of continuous systems
 3.11.1 Strings
 3.11.2 Longitudinal vibrations of a rod
 3.11.2.1 Longitudinal vibrations of a clamped-free rod
 3.11.2.2 Longitudinal vibrations of a free-free or fixed-fixed rod
 3.11.2.3 Longitudinal vibrations of a clamped-free rod with a rigid mass at the free end
 3.11.3 Lateral vibration of a bar
 3.11.3.1 Hinged-hinged beam
 3.11.3.2 The free-free or clamped-clamped bar
 3.11.4 Lateral vibration of bars with a rigid mass attached.