By Jan Awrejcewicz,Vadim A Krysko,Irina V Papkova,Anton V Krysko
This publication specializes in the computational research of nonlinear vibrations of structural participants (beams, plates, panels, shells), the place the studied dynamical difficulties could be decreased to the respect of 1 spatial variable and time. The relief is conducted in accordance with a proper mathematical process geared toward decreasing the issues with limitless size to finite ones. the method additionally features a transition from governing nonlinear partial differential equations to a collection of finite variety of traditional differential equations.
Beginning with an summary of the new effects dedicated to the research and keep watch over of nonlinear dynamics of structural participants, putting emphasis on balance, buckling, bifurcation and deterministic chaos, uncomplicated chaotic structures are in brief mentioned. subsequent, bifurcation and chaotic dynamics of the Euler–Bernoulli and Timoshenko beams together with the geometric and actual nonlinearity in addition to the elastic–plastic deformations are illustrated. regardless of the hired classical numerical research of nonlinear phenomena, a number of the wavelet transforms and the 4 Lyapunov exponents are used to realize, display screen and probably regulate chaos, hyper-chaos, hyper-hyper-chaos and deep chaos exhibited by means of oblong plate-strips and cylindrical panels.
The publication is meant for post-graduate and doctoral scholars, utilized mathematicians, physicists, lecturers and academics of universities and firms facing a nonlinear dynamical approach, in addition to theoretically prone engineers of mechanical and civil engineering.
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Extra info for Deterministic Chaos in One-Dimensional Continuous Systems: 90 (World Scientific Series on Nonlinear Science Series A)
Deterministic Chaos in One-Dimensional Continuous Systems: 90 (World Scientific Series on Nonlinear Science Series A) by Jan Awrejcewicz,Vadim A Krysko,Irina V Papkova,Anton V Krysko