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Compliant Mechanisms: Design of Flexure Hinges 2nd edition [Kõva köide]

(University of Alaska Anchorage, USA)
  • Formaat: Hardback, 562 pages, kõrgus x laius: 229x152 mm, kaal: 870 g, 24 Tables, black and white; 217 Line drawings, black and white; 50 Halftones, black and white; 267 Illustrations, black and white
  • Ilmumisaeg: 19-Nov-2020
  • Kirjastus: CRC Press Inc
  • ISBN-10: 1439893691
  • ISBN-13: 9781439893692
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  • Formaat: Hardback, 562 pages, kõrgus x laius: 229x152 mm, kaal: 870 g, 24 Tables, black and white; 217 Line drawings, black and white; 50 Halftones, black and white; 267 Illustrations, black and white
  • Ilmumisaeg: 19-Nov-2020
  • Kirjastus: CRC Press Inc
  • ISBN-10: 1439893691
  • ISBN-13: 9781439893692
"The second edition of Compliant Mechanisms: Design of Flexure Hinges provides practical answers to the design and analysis of devices that incorporate flexible hinges"--

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.


  • With a rigorous and comprehensive coverage, the second edition of Compliant Mechanisms: Design of Flexure Hinges provides practical answers to the design and analysis of devices that incorporate flexible hinges. Complex-shaped flexible-hinge mechanisms are generated from basic elastic segments by means of a bottom-up compliance (flexibility) approach. The same compliance method and the classical finite element analysis are utilized to study the quasi-static and dynamic performances of these compliant mechanisms. The book offers easy-to-use mathematical tools to investigate a wealth of flexible hinge configurations and two- or three-dimensional compliant mechanism applications.

    FEATURES

    • Introduces a bottom-up compliance-based approach to characterize the flexibility of new and existing flexible hinges of straight- and curvilinear-axis configurations
    • Develops a consistent linear lumped-parameter compliance model to thoroughly describe the quasi-static and dynamic behavior of planar/spatial, serial/parallel flexible-hinge mechanisms
    • Utilizes the finite element method to analyze the quasi-statics and dynamics of compliant mechanisms by means of straight- and curvilinear-axis flexible hinge elements
    • Covers miscellaneous topics such as stress concentration, yielding and related maximum load, precision of rotation of straight- and circular-axis flexible hinges, temperature effects on compliances, layered flexible hinges, and piezoelectric actuation/sensing
    • Offers multiple solved examples of flexible hinges and flexible-hinge mechanisms

    The book should serve as a reference to students, researchers, academics and to anyone interested to investigate precision flexible-hinge mechanisms by linear model-based methods in various areas of mechanical, aerospace or biomedical engineering, as well as in robotics and micro/nano systems.

    Preface to the Second Edition xiii
    Author xv
    Chapter 1 Introduction
    1(8)
    References
    8(1)
    Chapter 2 Compliances of Basic Flexible-Hinge Segments
    9(64)
    2.1 Straight-Axis Flexible-Hinge Segments
    9(37)
    2.1.1 Generic Compliances
    10(4)
    2.1.1.1 In-Plane Load, Displacement Vectors and Compliance Matrix
    14(1)
    2.1.1.2 Out-of-Plane Load, Displacement Vectors and Compliance Matrix
    15(3)
    2.1.2 Geometric Configurations
    18(1)
    2.1.2.1 Straight-Line Profile Segments
    18(7)
    2.1.2.2 Curvilinear-Profile Segments
    25(21)
    2.2 Curvilinear-Axis Flexible-Hinge Segments
    46(15)
    2.2.1 Generic Compliances
    46(2)
    2.2.1.1 In-Plane Compliances
    48(2)
    2.2.1.2 Out-of-Plane Compliances
    50(3)
    2.2.2 Geometric Configurations
    53(1)
    2.2.2.1 Circular-Axis Hinge Segment
    53(3)
    2.2.2.2 Elliptical-Axis Hinge Segment
    56(2)
    2.2.2.3 Parabolic-Axis Hinge Segment
    58(1)
    2.2.2.4 Corner-Filleted Hinge Segments
    59(2)
    Appendix A2 Closed-Form Compliances
    61(10)
    A2.1 Straight-Axis Segments
    61(1)
    A2.1.1 Rectangular Cross-Section of Constant Out-of-Plane Width w and Minimum In-Plane Thickness t
    61(4)
    A2.1.2 Circular Cross-Section
    65(3)
    A2.2 Curvilinear-Axis Segments of Constant Cross-Section
    68(1)
    A2.2.1 Circular-Axis Segment
    68(1)
    A2.2.2 Parabolic-Axis Segment
    69(2)
    References
    71(2)
    Chapter 3 Compliances of Straight-Axis Flexible Hinges
    73(68)
    3.1 Compliance Matrix Transformations
    73(9)
    3.1.1 Compliance Matrix Translation
    73(1)
    3.1.1.1 Series Connection
    74(3)
    3.1.1.2 Parallel Connection
    77(1)
    3.1.2 Compliance Matrix Rotation
    78(1)
    3.1.2.1 In-Plane Rotation
    79(1)
    3.1.2.2 Out-of-Plane Rotation
    80(2)
    3.2 Series-Connection Flexible Hinges
    82(45)
    3.2.1 Flexible Hinges without Transverse Symmetry
    83(1)
    3.2.1.1 Compliance Matrices through Addition and Rotation
    83(6)
    3.2.1.2 Geometric Configurations
    89(2)
    3.2.2 Transversely Symmetric Flexible Hinges
    91(1)
    3.2.2.1 Generic Compliance Matrices
    91(7)
    3.2.2.2 Hinge Configurations: Finite Element Confirmation of Analytical Compliances
    98(11)
    3.2.2.3 Hinge Configurations: Internal Comparison
    109(8)
    3.2.2.4 Two-Axis Flexible Hinges
    117(6)
    3.2.3 Folded, Spatially Periodic Flexible Hinges
    123(4)
    3.3 Parallel-Connection Flexible Hinges
    127(8)
    3.3.1 Two-Member Flexible Hinge with Symmetry Axis
    129(1)
    3.3.1.1 In-Plane Compliance Matrix
    129(1)
    3.3.1.2 Out-of-Plane Compliance Matrix
    130(2)
    3.3.2 Two-Member Flexible Hinge with Identical and Geometrically Parallel Segments
    132(1)
    3.3.3 The Crossed-Leaf Spring
    133(2)
    Appendix A3 Independent Closed-Form Compliances
    135(3)
    A3.1 Flexible Hinges of Rectangular Cross-Section with Constant Out-of-Plane Width w and Minimum In-Plane Thickness t
    135(1)
    A3.1.1 Right Circular Hinge
    135(1)
    A3.1.2 Right Elliptical Hinge
    136(1)
    A3.2 Flexible Hinges of Circular Cross-Section
    137(1)
    A3.2.1 Right Circular Hinge
    137(1)
    A3.2.2 Right Elliptical Hinge
    137(1)
    References
    138(3)
    Chapter 4 Compliances of Curvilinear-Axis Flexible Hinges
    141(48)
    4.1 Compliance Matrix Transformations
    141(4)
    4.1.1 In-Plane Compliances
    142(1)
    4.1.2 Out-of-Plane Compliances
    143(2)
    4.2 Series-Connection Flexible Hinges
    145(34)
    4.2.1 Compliance Matrices of Flexible Hinges without Symmetry
    145(1)
    4.2.1.1 In-Plane Compliance Matrix
    146(1)
    4.2.1.2 Out-of-Plane Compliance Matrix
    146(2)
    4.2.2 Compliance Matrices of Flexible Hinges with Symmetry Axis
    148(1)
    4.2.2.1 Generic Hinge and Compliance Matrices
    149(4)
    4.2.2.2 Flexible-Hinge Configurations
    153(8)
    4.2.3 Compliance Matrices of Flexible Hinges with Antisymmetry Axis
    161(1)
    4.2.3.1 Generic Hinge and Compliance Matrices
    161(2)
    4.2.3.2 Flexible-Hinge Configuration
    163(4)
    4.2.4 Folded Flexible Hinges
    167(1)
    4.2.4.1 Straight-Line (Rectangular) Envelope
    168(4)
    4.2.4.2 Curvilinear-Line Envelope
    172(2)
    4.2.4.3 Radial Folded Hinge with Rigid Connectors
    174(5)
    4.3 Parallel-Connection Flexible Hinges
    179(7)
    4.3.1 In-Plane Compliance Matrix
    181(1)
    4.3.2 Out-of-Plane Compliance Matrix
    182(4)
    References
    186(3)
    Chapter 5 Quasi-Static Response of Serial Flexible-Hinge Mechanisms
    189(68)
    5.1 Planar (2D) Mechanisms
    190(58)
    5.1.1 Serial Chain with One Flexible Hinge and One Rigid Link
    190(1)
    5.1.1.1 Rigid-Link Load and Displacement Transformation
    190(4)
    5.1.1.2 Fixed-Free Chain
    194(3)
    5.1.1.3 Overconstrained Chains
    197(5)
    5.1.2 Multiple-Link, Flexible-Hinge Serial Chains
    202(2)
    5.1.2.1 Fixed-Free Chains
    204(22)
    5.1.2.2 Overconstrained Chains
    226(8)
    5.1.3 Displacement-Amplification Mechanisms Reducible to Serial Flexible Chains
    234(1)
    5.1.3.1 Mechanisms with Two Symmetry Axes
    235(8)
    5.1.3.2 Mechanisms with One Symmetry Axis
    243(5)
    5.2 Spatial (3D) Mechanisms
    248(7)
    5.2.1 Rigid-Link Load and Displacement Transformation
    248(1)
    5.2.1.1 Translation
    249(1)
    5.2.1.2 Rotation
    250(2)
    5.2.2 Fixed-Free Serial Chain
    252(3)
    References
    255(2)
    Chapter 6 Quasi-Static Response of Parallel Flexible-Hinge Mechanisms
    257(62)
    6.1 Planar (2D) Mechanisms
    257(54)
    6.1.1 Load on Rigid Link Common to All Flexible Chains
    258(1)
    6.1.1.1 Suspension Mechanism with Two Identical, Symmetrical and Collinear, Straight-Axis Flexible Chains
    259(3)
    6.1.1.2 Folded Chains with Curvilinear-Axis Hinges
    262(2)
    6.1.1.3 Mechanisms with Identical, Symmetrical and Non-Collinear Flexible Chains
    264(21)
    6.1.2 Load on Rigid Link Common to All Flexible Chains and Loads on Flexible Chains
    285(1)
    6.1.2.1 Generic Compliance-Matrix Model
    285(3)
    6.1.2.2 Displacement-Amplification Mechanisms
    288(11)
    6.1.2.3 Mechanisms with Radial Symmetry - xyQ Stages
    299(5)
    6.1.3 Branched Flexible Planar Mechanisms and Substructuring
    304(7)
    6.2 Spatial (3D) Mechanisms
    311(3)
    References
    314(5)
    Chapter 7 Dynamics of Flexible-Hinge Mechanisms
    319(78)
    7.1 Dynamic Modeling
    319(5)
    7.1.1 Degrees of Freedom (DOF)
    320(1)
    7.1.2 Time-Domain Free Undamped Response
    321(1)
    7.1.3 Time-Domain Free Damped Response
    322(1)
    7.1.4 Time-Domain Forced Response
    323(1)
    7.1.5 Steady-State and Frequency-Domain Responses for Harmonic Forcing
    324(1)
    7.2 Inertia (Mass) Matrix
    324(27)
    7.2.1 Heavy Rigid Links and Massless Flexible Hinges
    324(1)
    7.2.2 Heavy Rigid Links and Heavy Flexible Hinges
    325(1)
    7.2.2.1 Fixed-Free Flexible Hinges
    325(11)
    7.2.2.2 Free-Free Flexible Hinges
    336(15)
    7.3 Damping Matrix
    351(2)
    7.3.1 Viscous Damping from Rigid Links
    352(1)
    7.3.2 Proportional Viscous Damping from Rigid Links and Flexible Hinges
    352(1)
    7.4 Serial Mechanisms
    353(24)
    7.4.1 Planar (2D) Mechanisms
    353(1)
    7.4.1.1 Fixed-Free Chain with One Flexible Hinge and One Rigid Link
    353(5)
    7.4.1.2 Fixed-Free Chain with Multiple Flexible Hinges and Rigid Links
    358(8)
    7.4.1.3 Overconstrained Chain with Multiple Flexible Hinges and Rigid Links
    366(7)
    7.4.2 Spatial (3D) Mechanisms
    373(4)
    7.5 Parallel Mechanisms
    377(17)
    7.5.1 Planar (2D) Mechanisms
    377(1)
    7.5.1.1 Straight-Axis Chain with Two Identical Flexible Hinges and One Rigid Link
    377(3)
    7.5.1.2 Mechanisms with Multiple Single-Hinge Chains
    380(3)
    7.5.1.3 Mechanisms with Multiple Chains Formed of Serially Connected Rigid Links and Flexible Hinges
    383(8)
    7.5.2 Spatial (3D) Mechanisms
    391(3)
    References
    394(3)
    Chapter 8 Finite Element Analysis of Flexible-Hinge Mechanisms
    397(74)
    8.1 Straight-Axis Line Elements
    397(25)
    8.1.1 Two-Node Element
    397(1)
    8.1.1.1 Axial Loading
    398(3)
    8.1.1.2 Torsional Loading
    401(1)
    8.1.1.3 Bending
    402(8)
    8.1.1.4 In-Plane and Out-of-Plane Element Matrices
    410(3)
    8.1.1.5 Inertia Matrices of Rigid Elements
    413(3)
    8.1.2 Three-Node Element
    416(1)
    8.1.2.1 Axial Effects and Torsion
    416(2)
    8.1.2.2 Bending
    418(4)
    8.2 Circular-Axis Line Elements
    422(16)
    8.2.1 Long Elements and the Euler-Bernoulli Model
    422(1)
    8.2.1.1 In-Plane Matrices
    422(7)
    8.2.1.2 Out-of-Plane Matrices
    429(3)
    8.2.2 Short Elements and the Timoshenko Model
    432(1)
    8.2.2.1 In-Plane Matrices
    432(2)
    8.2.2.2 Out-of-Plane Matrices
    434(4)
    8.3 Flexible-Hinge Mechanisms
    438(28)
    8.3.1 Global-Frame Element Stiffness and Inertia Matrices
    438(1)
    8.3.1.1 Straight-Axis Flexible Hinges
    438(2)
    8.3.1.2 Circular-Axis Flexible Hinges
    440(2)
    8.3.2 The Assembling Process
    442(4)
    8.3.3 Quasi-Static Response
    446(13)
    8.3.4 Natural Response and Frequencies
    459(3)
    8.3.5 Time-Domain Response
    462(4)
    References
    466(5)
    Chapter 9 Miscellaneous Topics
    471(70)
    9.1 Stress Concentration in Flexible Hinges and Flexible-Hinge Mechanisms
    471(19)
    9.1.1 Stress Concentrators
    471(2)
    9.1.2 In-Plane Stress Concentration
    473(10)
    9.1.3 Out-of-Plane Stress Concentration
    483(7)
    9.2 Rotation Precision of Flexible Hinges
    490(5)
    9.2.1 Straight-Axis Flexible Hinges
    490(2)
    9.2.2 Circular-Axis Flexible Hinges
    492(3)
    9.3 Flexible-Hinge Compliance Thermal Sensitivity
    495(11)
    9.3.1 Straight-Axis Flexible Hinges
    495(1)
    9.3.1.1 Rectangular Cross-Section
    495(5)
    9.3.1.2 Circular Cross-Section
    500(1)
    9.3.2 Circular-Axis Flexible Hinges
    500(1)
    9.3.2.1 Rectangular Cross-Section
    501(5)
    9.3.2.2 Circular Cross-Section
    506(1)
    9.4 Straight-Axis Layered Flexible Hinges
    506(12)
    9.4.1 Constant-Width Flexible Hinges with Transverse Geometry and Material Symmetry
    507(5)
    9.4.2 Constant-Thickness Flexible Hinges
    512(6)
    9.5 Piezoelectric Actuation and Sensing in Flexible-Hinge Mechanisms
    518(19)
    9.5.1 Active Layered (Piezoelectric) Flexible Hinges
    519(1)
    9.5.1.1 Actuation
    519(5)
    9.5.1.2 Sensing
    524(3)
    9.5.2 Block (Piezoelectric) Actuation and Sensing
    527(1)
    9.5.2.1 Actuation
    527(7)
    9.5.2.2 Sensing
    534(3)
    References
    537(4)
    Index 541
    Nicolae Lobontiu is Professor of Mechanical Engineering at the University of Alaska Anchorage, USA. Dr. Lobontius research interests for the last two decades have focused on flexure/flexible hinges and macro/micro-scale hinge-based compliant mechanisms. He has published several journal papers on these research topics and is the author of four other books: System Dynamics for Engineering Students second edition, Dynamics of Microelectromechanical Systems, Mechanical Design of Microresonators, and Mechanics of Microelectromechanical Systems (with E. Garcia). Professor Lobontius teaching background includes courses in dynamics of systems, controls, mechanical vibrations, finite element analysis, dynamics, and mechanics of materials.