Chaos in Structural Mechanics Paperback / softback
by Jan Awrejcewicz, Vadim Anatolevich Krysko
Part of the Understanding Complex Systems series
Paperback / softback
Description
This monograph is devoted to construction of novel theoretical approaches of m- eling non-homogeneous structural members as well as to development of new and economically ef?cient (simultaneously keeping the required high engineering ac- racy)computationalalgorithmsofnonlineardynamics(statics)ofstronglynonlinear behavior of either purely continuous mechanical objects (beams, plates, shells) or hybrid continuous/lumped interacting mechanical systems.
In general, the results presented in this monograph cannot be found in the - isting literature even with the published papers of the authors and their coauthors.
We take a challenging and originally developed approach based on the integrated mathematical-numerical treatment of various continuous and lumped/continuous mechanical structural members, putting emphasis on mathematical and physical modeling as well as on the carefully prepared and applied novel numerical - gorithms used to solve the derived nonlinear partial differential equations (PDEs) mainly via Bubnov-Galerkin type approaches.
The presented material draws on the ?elds of bifurcation, chaos, control, and s- bility of the objects governed by strongly nonlinear PDEs and ordinary differential equations (ODEs),and may have a positive impact on interdisciplinary ?elds of n- linear mechanics, physics, and applied mathematics.
We show, for the ?rst time in a book, the complexity and fascinating nonlinear behavior of continual mechanical objects, which cannot be found in widely reported bifurcational and chaotic dyn- ics of lumped mechanical systems, i. e. , those governed by nonlinear ODEs.
Information
-
Item not Available
- Format:Paperback / softback
- Pages:424 pages, 45 Tables, black and white; 195 Illustrations, black and white; XIII, 424 p. 195 illus.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:22/10/2010
- Category:
- ISBN:9783642096457
Other Formats
- Hardback from £120.95
- PDF from £110.08
Information
-
Item not Available
- Format:Paperback / softback
- Pages:424 pages, 45 Tables, black and white; 195 Illustrations, black and white; XIII, 424 p. 195 illus.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:22/10/2010
- Category:
- ISBN:9783642096457
