000			02391 a2200277 4500
005			20171009125803.0
008			171006b xxu||||| |||| 00| 0 eng d
020			_a9789814719698
040			_cIITK
041			_aeng
082			_a624.17011857 _bD48
245			_aDeterministic chaos in one-dimensional continuous systems _cJan Awrejcewicz ...[et al.]
260			_bWorld Scientific _c2016 _aNew Jersey
300			_axiv, 562p
440			_aWorld scientific series on nonlinear science
490			_a/ edited by Leon O. Chua; Series A; v.90
505			_aThis 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.
650			_aStrength of materials -- Mathematics
650			_aBuilding materials
650			_aBuildings -- Vibration
700			_aAwrejcewicz, Jan
700			_aKrysko, Vadim A.
700			_aPapkova, Irina V.
700			_aKrysko, Anton V.
942			_cBK
999			_c557761 _d557761