Deterministic chaos in one dimensional continuous systems
"This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time. The reduction is carried out based on a formal mathematical approach aimed at reducing the problems with infinite dimension to finite ones. The process also includes a transition from governing nonlinear partial differential equations to a set of finite number of …
Read More ↓Title Statements
- Full title :Deterministic chaos in one dimensional continuous systems / Jan Awrejcewicz, Vadim A. Krysko, Irina V. Papkova and Anton V. Krysko.
Summary
"This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time. The reduction is carried out based on a formal mathematical approach aimed at reducing the problems with infinite dimension to finite ones. The process also includes a transition from governing nonlinear partial differential equations to a set of finite number of ordinary differential equations. Beginning with an overview of the recent results devoted to the analysis and control of nonlinear dynamics of structural members, placing emphasis on stability, buckling, bifurcation and deterministic chaos, simple chaotic systems are briefly discussed. Next, bifurcation and chaotic dynamics of the Euler-Bernoulli and Timoshenko beams including the geometric and physical nonlinearity as well as the elastic-plastic deformations are illustrated. Despite the employed classical numerical analysis of nonlinear phenomena, the various wavelet transforms and the four Lyapunov exponents are used to detect, monitor and possibly control chaos, hyper-chaos, hyper-hyper-chaos and deep chaos exhibited by rectangular plate-strips and cylindrical panels. The book is intended for post-graduate and doctoral students, applied mathematicians, physicists, teachers and lecturers of universities and companies dealing with a nonlinear dynamical system, as well as theoretically inclined engineers of mechanical and civil engineering."--Provided by publisher
Read More ↓Edition Statements
- Publication Date:©2016.
Publication Statements
- Publisher(s):World Scientific Publishing Co Pte Ltd
- Place of Publication:Singapore
- Language:eng
- Publication Date:©2016.
Notes
Title from PDF file title page (viewed May 25, 2016).
The Physical Object
- Description:1 online resource (577 pages) : : illustrations (some color)
Edition Identifiers
- ISBN:9789814719704, 9814719706
- oclc:on1237238076
- LC Classification:TA342
- Dewey Decimal:624.1/7011857
Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Vacuum microelectronics
Gender, ethnicity and employment: non-English speaking background migrant…
Haque, Rowshan
Rate & Review