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Produktbild: Elements of Structural Dynamics

Elements of Structural Dynamics A New Perspective

147,99 €

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

11.10.2012

Verlag

John Wiley & Sons Inc

Seitenzahl

438

Maße (L/B/H)

25,1/17,2/2,7 cm

Gewicht

807 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-118-33962-6

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

11.10.2012

Verlag

John Wiley & Sons Inc

Seitenzahl

438

Maße (L/B/H)

25,1/17,2/2,7 cm

Gewicht

807 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-118-33962-6

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: GPSR Kontakt

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  • Produktbild: Elements of Structural Dynamics
  • Preface xi
     
    Acknowledgements xv
     
    Introduction xvii
     
    General Notations xxi
     
    1 Structural Dynamics and Mathematical Modelling 1
     
    1.1 Introduction 1
     
    1.2 System of Rigid Bodies and Dynamic Equations of Motion 2
     
    1.2.1 Principle of Virtual Work 2
     
    1.2.2 Hamilton's Principle 3
     
    1.2.3 Lagrangian Equations of Motion 4
     
    1.3 Continuous Dynamical Systems and Equations of Motion from Hamilton's Principle 6
     
    1.3.1 Strain and Stress Tensors and Strain Energy 7
     
    1.4 Dynamic Equilibrium Equations from Newton's Force Balance 11
     
    1.4.1 Displacement-Strain Relationships 11
     
    1.4.2 Stress-Strain Relationships 13
     
    1.5 Equations of Motion by Reynolds Transport Theorem 13
     
    1.5.1 Mass Conservation 15
     
    1.5.2 Linear Momentum Conservation 16
     
    1.6 Conclusions 17
     
    Exercises 17
     
    Notations 18
     
    References 19
     
    Bibliography 19
     
    2 Continuous Systems - PDEs and Solution 21
     
    2.1 Introduction 21
     
    2.2 Some Continuous Systems and PDEs 22
     
    2.2.1 A Taut String - the One-Dimensional Wave Equation 22
     
    2.2.2 An Euler-Bernoulli Beam - the One-Dimensional Biharmonic Wave Equation 23
     
    2.2.3 Beam Equation with Rotary Inertia and Shear Deformation Effects 27
     
    2.2.4 Equations of Motion for 2D Plate by Classical Plate Theory (Kirchhoff Theory) 29
     
    2.3 PDEs and General Solution 36
     
    2.3.1 PDEs and Canonical Transformations 36
     
    2.3.2 General Solution to the Wave Equation 38
     
    2.3.3 Particular Solution (D'Alembert's Solution) to the Wave Equation 38
     
    2.4 Solution to Linear Homogeneous PDEs - Method of Separation of Variables 40
     
    2.4.1 Homogeneous PDE with Homogeneous Boundary Conditions 41
     
    2.4.2 Sturm-Liouville Boundary-Value Problem (BVP) for the Wave Equation 42
     
    2.4.3 Adjoint Operator and Self-Adjoint Property 42
     
    2.4.4 Eigenvalues and Eigenfunctions of the Wave Equation 45
     
    2.4.5 Series Solution to the Wave Equation 45
     
    2.4.6 Mixed Boundary Conditions and Wave Equation 46
     
    2.4.7 Sturm-Liouville Boundary-Value Problem for the Biharmonic Wave Equation 48
     
    2.4.8 Thin Rectangular Plates - Free Vibration Solution 53
     
    2.5 Orthonormal Basis and Eigenfunction Expansion 56
     
    2.5.1 Best Approximation to f(x) 57
     
    2.6 Solutions of Inhomogeneous PDEs by Eigenfunction-Expansion Method 59
     
    2.7 Solutions of Inhomogeneous PDEs by Green's Function Method 64
     
    2.8 Solution of PDEs with Inhomogeneous Boundary Conditions 68
     
    2.9 Solution to Nonself-adjoint Continuous Systems 69
     
    2.9.1 Eigensolution of Nonself-adjoint System 69
     
    2.9.2 Biorthogonality Relationship between L and L* 70
     
    2.9.3 Eigensolutions of L and L* 73
     
    2.10 Conclusions 74
     
    Exercises 75
     
    Notations 75
     
    References 77
     
    Bibliography 77
     
    3 Classical Methods for Solving the Equations of Motion 79
     
    3.1 Introduction 79
     
    3.2 Rayleigh-Ritz Method 80
     
    3.2.1 Rayleigh's Principle 84
     
    3.3 Weighted Residuals Method 85
     
    3.3.1 Galerkin Method 86
     
    3.3.2 Collocation Method 91
     
    3.3.3 Subdomain Method 93
     
    3.3.4 Least Squares Method 94
     
    3.4 Conclusions 95
     
    Exercises 95
     
    Notations 96
     
    References 97
     
    Bibliography 97
     
    4 Finite Element Method and Structural Dynamics 99
     
    4.1 Introduction 99
     
    4.2 Weak Formulation of PDEs 101
     
    4.2.1 Well-Posedness of the Weak Form 103
     
    4.2.2 Uniqu