Research Catalog

Title

Flexures : elements of elastic mechanisms / Stuart T. Smith.

Author

Smith, S. T. (Stuart T.), 1961-

Publication

Boca Raton, Fla. : CRC Press ; c2000.

Items in the Library & Off-site

Holdings

Details

Description

xiv, 430 p. : ill.; 26 cm.

Alternative Title

Elements of elastic mechanisms

Subject

• Flexure
• Elasticity

Note

• Originally published: Amsterdam : Gordon & Breach, 2000.

Bibliography (note)

• Includes bibliographical references and indexes.

Processing Action (note)

• committed to retain

Contents

• Origins -- Advantages of flexures -- Disadvantages of flexures -- Goals of flexure design -- Design considerations -- Basic elasticity -- Behavior of materials -- Metals -- Non-metals -- Principal stresses and strains -- Biaxial stress -- Triaxial stresses -- Non-principal stresses -- Plane stress -- Three dimensional stresses -- Shear stresses and shear strain -- Yield criteria -- Ductile materials failure criteria -- Fatigue -- S/N curves -- Effects of notches -- Effects of mean stress -- Damage assessment -- Bending of symmetric beams -- The bending equation -- Deflection of beams -- Sign convention for bending moments -- Moment, shear force and rate of loading relationships -- Singularity functions -- Torsion -- Torsion of a prismatic beam of circular cross section -- Torsion of a prismatic beam of rectangular cross section -- Mobility -- Rigid body dynamics -- Generalized coordinates -- Properties of variational operators -- Commutation -- Minima of a function -- Hamilton's principle -- A simple spring mass system -- Lateral vibration of a bar -- Lagrange's equation -- Rayleigh's dissipation function -- General use of Lagrange's equation -- Linear systems theory -- The simple, single degree of freedom, linear, spring-mass-damper system -- Some equivalent definitions of a linear system -- Frequency response functions -- Measuring the critical damping ratio -- General linear systems revisited -- Multi-degree of freedom linear systems -- Note on the graphical representation of frequency response functions.
• General response function short cuts -- Rayleigh's approach to the problem of computing generalized frequency response functions -- Example of a two degree of freedom system -- Eigen analysis -- Conservative systems -- Systems with damping -- Interpretation of complex eigenvalues and eigenvectors -- Summary of primary steps in the derivation of the response function of a linear multi-degree of freedom system -- Example: A series, six mass vibration isolator -- Results -- Vibrations and natural frequencies of continuous systems -- Strings -- Longitudinal vibrations of a rod -- Longitudinal vibrations of a clamped-free rod -- Longitudinal vibrations of a free-free or fixed-fixed rod -- Longitudinal vibrations of a clamped-free rod with a rigid mass at the free end -- Lateral vibration of a bar -- Hinged-hinged beam -- The free-free or clamped-clamped bar -- Lateral vibration of bars with a rigid mass attached -- Cantilever beam with a rigid mass attached at the free end -- Hinged beam with a central mass, M -- Vibration of plates -- Vibrations of a circular plate -- Free vibration of a circular plate clamped at the perimeter -- Rayleigh's method applied to a circular plate with a central mass -- Vibrations of a rectangular plate -- Free vibrations of a rectangular plate simply supported at the edges -- Fundamental frequency's of rectangular plates with other boundary conditions -- Case study I: A simple two degree of freedom flexure mechanism -- Flexure elements -- Leaf type springs -- The cantilever as a rotary hinge.
• The cantilever hinge subject to an axial compressive force -- Combined axial and tangential loads -- Combined axial and tangential loads plus a moment applied to the free end of a simple cantilever -- Leaf type flexures for parallelogram flexure applications -- Notch hinge -- Theoretical considerations -- The leaf type flexure reconsidered -- The circular notch hinge -- Accuracy of stiffness estimates for a notch type hinge -- The notch hinge of elliptic cross section -- Compliance's of elliptic hinges in other axes -- Results -- Finite element results -- Other hinge elements -- The cross strip pivot -- Center shift of the pivot -- The cartwheel hinge -- Torsional stiffness of the cartwheel hinge -- Center shift of the pivot -- Stresses in the hinge -- The cruciform hinge -- Two axis hinges -- A simple two axis hinge (y, [theta]) -- The two beam, two degree of freedom flexure (y, [theta]) -- The two axis toroidal hinge ([theta subscript x], [theta subscript y]) -- Case study I: Force sensor for contact probe characterization -- Toroidal notch type flexure -- Two, stacked, notch type flexures -- Flexure systems -- The four bar link -- The simple leaf type rectilinear spring -- The simple notch type linear spring -- The virtual center -- Effect of the drive on the natural frequency -- Optimal geometry for the rectilinear motion of components on a simple linear spring -- Simple linear spring mechanisms -- Effect of axial strains in the flexure supports -- Combined effects -- Planar mechanisms.
• Discussion of the simplifying assumptions for reduction of mobility analysis to planar mechanisms -- Dynamics of ideal planar flexures (some common mechanisms) -- The compound rectilinear spring -- The double compound linear spring (including the lever driven spring) -- A coupled two-axis flexure -- General model for dynamics of planar flexures -- Coordinate systems -- Transformations -- Case study I: The simple linear spring flexure -- Comments on general planar analysis -- General dynamics of flexures -- Sources of interesting flexure mechanisms -- Hinges of rotational symmetry -- Coil springs -- The disc coupling (freedoms [theta subscript x], [theta subscript z], x) -- The inner to outer rim disc coupling -- The outer rim disc coupling -- Angular stiffness -- Axial stiffness -- Torsional stiffness -- Rotationally symmetric leaf type hinge (axial stiffness of the disc coupling revisited) -- Axial stiffness and maximum stress calculations for the rotationally symmetric leaf type flexure system -- Simplified equation for maximum stress -- Assessment of approximate equations using finite element models -- The bellows as a flexure element -- Torsional stiffness of the rectangular bellows -- Axial stiffness of the rectangular bellows -- 'S' Shaped distortion of the bellows -- The notch and leaf type hinge applied to couplings of rotational symmetry -- Case study I: A metrological three-axis translator for constant force profilometry -- Principle of operation -- Levers -- Mechanical levers -- The rigid lever.
• Soft spring -- stiff spring attenuation -- Lost motion -- Effects of levers on flexure dynamics -- Case study I: A fine adjustment mechanism for motion attenuation -- Finite element analysis of the lever flexure -- Manufacture of the lever using wire electro-discharge machining -- Case study II: Optical levers, galvanometers and the filar suspension -- Manufacturing and assembly considerations -- Manufacture -- Conventional machining -- Electro-discharge machining -- Plunge electro-discharge machining -- Wire electro-discharge machining -- Lithographic etching -- Flexures produced using microelectronic processing techniques (MEMS) -- Lithographic etching of copper sheet -- Electroplating (or electro-forming) -- Diamond grinding -- Assembly -- Assembly of flexures -- Coupling the actuator to the flexure -- Flexure mounts -- Adding damping to flexure systems (extracting energy) -- Internal friction in solids -- Adding damping to a flexure -- Effects of manufacturing tolerance on the stiffness of flexure elements -- Typical flexure drives -- Machining and heat treatment of some common flexure materials -- Steels -- Beryllium copper.

ISBN

• 9056992619 (alk. paper) (canceled/invalid)
• 9789056992613 (alk. paper) (canceled/invalid)

OCLC

• 60767878
• SCSB-10245717

Owning Institutions

Harvard Library