Vibration of Strongly Nonlinear Discontinuous Systems

2001
ISBN: 978-3-540-41447-6
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 402 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1700 g

Reihe: Foundations of Engineering Mechanics

This monograph addresses the systematic representation of the methods of analysis developed by the authors as applied to such systems. Particular features of dynamic processes in such systems are studied. Special attention is given to an analysis of different resonant phenomena taking unusual and diverse forms.

Zielgruppe

Research

Autoren/Hrsg.

Babitsky, V. I.

Krupenin, V. L.

Weitere Mitwirkende

Veprik, A.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau

Inhaltsverzeichnis

1 Operators of Linear Systems.- §1. Dynamic Compliance.- §2. Periodic Green Functions.- §3 Parametric Periodic Green Functions.- 2 Strongly Nonlinear Single-Degree-of Freedom Systems.- §4 Conservative Systems.- §5 Forced Vibration.- §6 Vibration in Autonomous Systems.- §7 Parametric Vibration.- §8 Random Vibration.- 3 Multiple-Degree-of-Freedom Systems.- §9 Forced Vibration in Multiple-Degree-of-Freedom Systems.- §10 Parametric Vibration in the Multiple-Degree-of-Freedom Systems.- Additional Bibliography.- Appendix I The Averaging Method in Systems with Impacts.- Appendix II On the Analysis of Resonant Vibration of Vibro-impact Systems Using the Averaging Technique.- Appendix III Structure-borne Vibroimpact Resonances and Periodic Green Functions.- Appendix IV Nonlinear Correction of a Vibration Protection System Containing Tuned Dynamic Absorber.