Chaos in Structural Mechanics

• Main Authors: Awrejcewicz, Jan (Author), Krys'ko, Vadim Anatolevich (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Understanding Complex Systems,
• Subjects: Engineering.; System theory.; Statistical physics.; Dynamical systems.; Applied mathematics.; Engineering mathematics.; Vibration.; Dynamics.; Vibration, Dynamical Systems, Control.; Statistical Physics, Dynamical Systems and Complexity.; Appl.Mathematics/Computational Methods of Engineering.; Systems Theory, Control.
• Physical Description: XIII, 424 p. 195 illus. online resource.
• ISBN: 9783540776765
• ISSN: 1860-0832

This volume introduces and reviews novel theoretical approaches to modeling strongly nonlinear behaviour of either individual or interacting structural mechanical units such as beams, plates and shells or composite systems thereof. The approach draws upon the well-established fields of bifurcation theory and chaos and emphasizes the notion of control and stability of objects and systems the evolution of which is governed by nonlinear ordinary and partial differential equations. Computational methods, in particular the Bubnov-Galerkin method, are thus described in detail.