Dynamic Motion: Chaotic and Stochastic Behaviour

1. Front Matter

   Pages ii-vii

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2. Stochastic and Chaotic Motion in Engineering Systems

   • F. Casciati

   Pages 1-27

3. Stochastic Differential Calculus

   • M. Di Paola

   Pages 29-92

4. Approximate Solution of the Fokker-Planck-Kolmogorov Equation for Dynamical Systems

   • A. Baratta

   Pages 93-125

5. Computational Aspects in Chaotic and Stochastic Dynamics

   • F. Bontempi

   Pages 127-169

6. Stochastic Behaviour of Special Materials: The Composite Material

   • A. Borri

   Pages 171-202

7. Response of Linear and Non-Linear Structural Systems under Gaussian or Non-Gaussian Filtered Input

   • G. Muscolino

   Pages 203-299

8. Dynamic Analysis of Complex Structural Systems

   • L. Faravelli

   Pages 301-325

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.

• dynamics
• material
• modeling
• probability
• Vibration

• University of Pavia, Italy

  F. Casciati

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