Dynamic Motion: Chaotic and Stochastic Behaviour

✍ Scribed by F. Casciati (eds.)

Publisher: Springer-Verlag Wien
Year: 1993
Tongue: English
Leaves: 328
Series: International Centre for Mechanical Sciences 340
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

The chapters of this book were written by structural engineers. The approach, therefore, is not aiming toward a scientific modelling of the response but to the definition of engineering procedures for detecting and avoiding undesired phenomena. In this sense chaotic and stochastic behaviour can be tackled in a similar manner. This aspect is illustrated in Chapter 1. Chapters 2 and 3 are entirely devoted to Stochastic Dynamics and cover single-degree-of-freedom systems and impact problems, respectively. Chapter 4 provides details on the numerical tools necessary for evaluating the main indexes useful for the classification of the motion and for estimating the response probability density function. Chapter 5 gives an overview of random vibration methods for linear and nonlinear multi-degree-of-freedom systems. The randomness of the material characteristics and the relevant stochastic models ar considered in Chapter 6. Chapter 7, eventually, deals with large engineering sytems under stochastic excitation and allows for the stochastic nature of the mechanical and geometrical properties.

✦ Table of Contents

Front Matter....Pages ii-vii
Stochastic and Chaotic Motion in Engineering Systems....Pages 1-27
Stochastic Differential Calculus....Pages 29-92
Approximate Solution of the Fokker-Planck-Kolmogorov Equation for Dynamical Systems....Pages 93-125
Computational Aspects in Chaotic and Stochastic Dynamics....Pages 127-169
Stochastic Behaviour of Special Materials: The Composite Material....Pages 171-202
Response of Linear and Non-Linear Structural Systems under Gaussian or Non-Gaussian Filtered Input....Pages 203-299
Dynamic Analysis of Complex Structural Systems....Pages 301-325

✦ Subjects

Mechanical Engineering; Mechanics; Civil Engineering; Appl.Mathematics/Computational Methods of Engineering; Simulation and Modeling; Theoretical and Applied Mechanics

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