To Nonlinear Random Vibration, Second Edition

Analytical Techniques and Applications
2. Auflage 2012
ISBN: 978-1-4665-1284-9
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 312 Seiten

Reihe: Advances in Engineering Series

This second edition of this book, Nonlinear Random Vibration: Analytical Techniques and Applications, expands on the original edition with additional detailed steps in various places in the text. It is a first systematic presentation on the subject. It covers Markovian and non-Markovian solutions of nonlinear stochastic differential equations, exact solutions of Fokker-Planck-Kolmogorov equations, methods of statistical linearization, statistical nonlinearization techniques, methods of stochastic averaging, truncated hierarchy techniques, and an appendix on probability theory.

Autoren/Hrsg.

To, Cho W.S.

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Technische Wissenschaften Bauingenieurwesen Technische Dynamik (Modalanalyse), Erdbebensicherheit
• Naturwissenschaften Physik Mechanik Akustik, Schwingungsanalyse

Inhaltsverzeichnis

Introduction. Markovian and Non-Markovian Solutions of Stochastic Nonlinear Differential Equations. Exact Solution of the Fokker-Planck-Kolmogorov Equation. Methods of Statistical Linearization. Statistical Nonlinearization Techniques. Methods of Stochastic Averaging. Truncated Hierarchy and other Techniques.