000			02725cam a22003378a 4500
001			00009775
003			WSP
005			20230529183741.0
007			cr cn|||||||||
008			160406s2016 si a ob 001 0 eng d
010			_a 2015035631
020			_a9789814719704
040			_aWSPC _beng _cWSPC
082	0	4	_a624.17011857
100	1		_aAwrejcewicz, J. ... [et al.].
245	1	0	_aDeterministic Chaos in One-Dimensional Continuous Systems
260			_aSingapore : _bWorld Scientific Publishing Co. Pte Ltd, _c©2016.
300			_a576 p. :
440			_aWorld Scientific Series on Nonlinear Science Series A : _vVol. 90
504			_aIncludes bibliographical references and index.
520			_a"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.
533			_aElectronic reproduction. _bSingapore : _cWorld Scientific, _d[2015]
538			_aMode of access: World Wide Web.
650		0	_aEngineering mathematics.
650		0	_aBuildings _xVibration.
650		0	_aStrength of materials _xMathematics.
650		0	_aBuilding materials.
650		0	_aElectronic books.
856	4	0	_uhttp://www.worldscientific.com/worldscibooks/10.1142/9775 _zebook
942			_2ddc _cEBK
999			_c2382 _d2382