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Produktbild: Stochastic Structural Dynamics

Stochastic Structural Dynamics Application of Finite Element Methods

151,99 €

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

16.12.2013

Verlag

John Wiley & Sons

Seitenzahl

350

Maße (L/B/H)

24,4/17/2 cm

Gewicht

748 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-118-34235-0

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

16.12.2013

Verlag

John Wiley & Sons

Seitenzahl

350

Maße (L/B/H)

24,4/17/2 cm

Gewicht

748 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-118-34235-0

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: GPSR Kontakt

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  • Produktbild: Stochastic Structural Dynamics
  • Dedication xi
     
    Preface xiii
     
    Acknowledgements xv
     
    1. Introduction 1
     
    1.1 Displacement Formulation Based Finite Element Method 2
     
    1.2 Element Equations of Motion for Temporally and Spatially Stochastic Systems 13
     
    1.3 Hybrid Stress Based Element Equations of Motion 14
     
    1.4 Incremental Variational Principle and Mixed Formulation Based Nonlinear Element Matrices 18
     
    1.5 Constitutive Relations and Updating of Configurations and Stresses 36
     
    1.6 Concluding Remarks 48
     
    References 49
     
    2. Spectral Analysis and Response Statistics of Linear Structural Systems 53
     
    2.1 Spectral Analysis 53
     
    2.2 Evolutionary Spectral Analysis 56
     
    2.3 Evolutionary Spectra of Engineering Structures 60
     
    2.4 Modal Analysis and Time-Dependent Response Statistics 76
     
    2.5 Response Statistics of Engineering Structures 79
     
    References 94
     
    3. Direct Integration Methods for Linear Structural Systems 97
     
    3.1 Stochastic Central Difference Method 97
     
    3.2 Stochastic Central Difference Method with Time Co-ordinate Transformation 100
     
    3.3 Applications 102
     
    3.4 Extended Stochastic Central Difference Method and Narrow-band Force Vector 114
     
    3.5 Stochastic Newmark Family of Algorithms 122
     
    References 128
     
    4. Modal Analysis and Response Statistics of Quasi-linear Structural Systems 131
     
    4.1 Modal Analysis of Temporally Stochastic Quasi-linear Systems 131
     
    4.2 Response Analysis Based on Melosh-Zienkiewicz-Cheung Bending Plate Finite Element 141
     
    4.3 Response Analysis Based on High Precision Triangular Plate Finite Element 156
     
    4.4 Concluding Remarks 166
     
    References 166
     
    5. Direct Integration Methods for Response Statistics of Quasi-linear Structural Systems 169
     
    5.1 Stochastic Central Difference Method for Quasi-linear Structural Systems 169
     
    5.2 Recursive Covariance Matrix of Displacements of Cantilever Pipe Containing Turbulent Fluid 174
     
    5.3 Quasi-linear Systems under Narrow-band Random Excitations 184
     
    5.4 Concluding Remarks 188
     
    References 190
     
    6. Direct Integration Methods for Temporally Stochastic Nonlinear Structural Systems 191
     
    6.1 Statistical Linearization Techniques 191
     
    6.2 Symplectic Algorithms of Newmark Family of Integration Schemes 194
     
    6.3 Stochastic Central Difference Method with Time Co-ordinate Transformation and Adaptive Time Schemes 199
     
    6.4 Outline of steps in computer program 211
     
    6.5 Large Deformations of Plate and Shell Structures 213
     
    6.6 Concluding Remarks 224
     
    References 226
     
    7. Direct Integration Methods for Temporally and Spatially Stochastic Nonlinear Structural Systems 231
     
    7.1 Perturbation Approximation Techniques and Stochastic Finite Element Methods 232
     
    7.2 Stochastic Central Difference Methods for Temporally and Spatially Stochastic Nonlinear Systems 241
     
    7.3 Finite Deformations of Spherical Shells with Large Spatially Stochastic Parameters 251
     
    7.4 Closing Remarks 255
     
    References 257
     
    Appendices
     
    1A Mass and Stiffness Matrices of Higher Order Tapered Beam Element 261
     
    1B Consistent Stiffness Matrix of Lower Order Triangular Shell Element 267
     
    1B.1 Inverse of Element Generalized Stiffness Matrix 267
     
    1B.2 Element Leverage Matrices 268
     
    1B.3 Element Component Stiffness Matrix Associated with Torsion 271
     
    References 276
     
    1C Consistent Mass Matrix of Lower Order Triangular Shell Element 277
     
    Reference 280
     
    2A Eigenvalue Solution 281