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Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members

Applications of the Bubnov-Galerkin and Finite Difference Methods

Vadim A. Krysko, Jan Awrejcewicz

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Theoretische Physik

Beschreibung

Adding seven new chapters integrating modern approaches to dynamical systems theory, this revised second edition describes numerical approaches to the nonlinear theory of beams, plates and shells, with an emphasis to the elastic and thermoelastic features. The added chapters discuss in particular how to understand, model, and obtain reliable results while detecting and analysing chaotic dynamics exhibited by thin structural members. The authors attempt to address the large impact of new directions of nonlinear dynamical phenomena in the context of the overall state-of-the art presented in the first book edition. They also present new perspectives of the unsolved problems of thin structural members.

The authors made every effort to keep the text intelligible for both practitioners and graduate students, although they offer a rigorous treatment of both purely mathematical and numerical approaches presented so that the reader can understand, analyse and track thenonlinear dynamics of spatial systems (shells) with thermomechanical behaviours.

 

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Schlagwörter

Theory of Flexible Shallow Shells, non-linear theory of plates, non-linear theory of shells, finite difference methods, Bubnov-Galerkin method, Arganovskiy-Baglay-Smirnov method, Kantorovich-Vlasov method, theoretical thermoelasticity, closed cylindrical shells, modified couple stress theory, thin elasto-plastic shells, shallow shells, chaotic vibrations, wavelet analysis, transonic gas flow, flexible shells dynamics, variational iteration method, Sharkoskiy's periodicity, vibration of plates, multi-layer beams