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Stochastic structural dynamics : application of finite element methods /
"The parallel developments of the Finite Element Methods in the 1950's and the engineering applications of stochastic processes in the 1940's provided a combined numerical analysis tool for the studies of dynamics of structures and structural systems under random loadings. In the open...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Chichester, West Sussex, UK :
Wiley,
[2014]
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| Edición: | First edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title Page; Copyright Page; Contents; Preface; Acknowledgments; 1. Introduction; 1.1 Displacement Formulation-Based Finite Element Method; 1.1.1 Derivation of element equation of motion; 1.1.2 Mass and stiffness matrices of uniform beam element; 1.1.3 Mass and stiffness matrices of tapered beam element; 1.2 Element Equations of Motion for Temporally and Spatially Stochastic Systems; 1.3 Hybrid Stress-Based Element Equations of Motion; 1.3.1 Derivation of element equation of motion; 1.3.2 Mass and stiffness matrices of uniform beam element.
- 1.4 Incremental Variational Principle and Mixed Formulation-Based Nonlinear Element Matrices1.4.1 Incremental variational principle and linearization; 1.4.2 Linear and nonlinear element stiffness matrices; 1.5 Constitutive Relations and Updating of Configurations and Stresses; 1.5.1 Elastic materials; 1.5.2 Elasto-plastic materials with isotropic strain hardening; 1.5.3 Configuration and stress updatings; 1.6 Concluding Remarks; References; 2. Spectral Analysis and Response Statistics of Linear Structural Systems; 2.1 Spectral Analysis; 2.1.1 Theory of spectral analysis; 2.1.2 Remarks.
- 2.2 Evolutionary Spectral Analysis2.2.1 Theory of evolutionary spectra; 2.2.2 Modal analysis and evolutionary spectra; 2.3 Evolutionary Spectra of Engineering Structures; 2.3.1 Evolutionary spectra of mast antenna structure; 2.3.2 Evolutionary spectra of cantilever beam structure; 2.3.3 Evolutionary spectra of plate structure; 2.3.4 Remarks; 2.4 Modal Analysis and Time-Dependent Response Statistics; 2.4.1 Time-dependent covariances of displacements; 2.4.2 Time-dependent covariances of displacements and velocities; 2.4.3 Time-dependent covariances of velocities; 2.4.4 Remarks.
- 2.5 Response Statistics of Engineering Structures2.5.1 Mast antenna structure; 2.5.2 Truncated conical shell structures; 2.5.3 Laminated composite plate and shell structures; References; 3. Direct Integration Methods for Linear Structural Systems; 3.1 Stochastic Central Difference Method; 3.2 Stochastic Central Difference Method with Time Co-ordinate Transformation; 3.3 Applications; 3.3.1 Beam structures under base random excitations; 3.3.2 Plate structures; 3.3.3 Remarks; 3.4 Extended Stochastic Central Difference Method and Narrow-band Force Vector.
- 3.4.1 Extended stochastic central difference method3.4.2 Beam structure under narrow-band excitations; 3.4.3 Concluding remarks; 3.5 Stochastic Newmark Family of Algorithms; 3.5.1 Deterministic Newmark family of algorithms; 3.5.2 Stochastic version of Newmark algorithms; 3.5.3 Responses of square plates under transverse random forces; References; 4. Modal Analysis and Response Statistics of Quasi-linear Structural Systems; 4.1 Modal Analysis of Temporally Stochastic Quasi-linear Systems; 4.1.1 Modal analysis and bi-modal approach; 4.1.2 Response statistics by Cumming's approach.