This book is unique among the many other books dealing with vibration and dynamics. It is divided into two parts. The first part covers all of the basics, from the modeling of discrete single and multi-degree-of-freedom systems to mathematical formulations for continuous systems, both analytical and numerical. The second part introduces the mathematical concepts of group theory, and applies these to the vibration of a diverse range of symmetric systems, demonstrating the power of this relatively new and novel computational approach.
This book is unique among the many other books dealing with vibration and dynamics. It is divided into two parts. The first part covers all of the basics, from the modeling of discrete single and multi-degree-of-freedom systems to mathematical formulations for continuous systems, both analytical and numerical. The second part introduces the mathematical concepts of group theory, and applies these to the vibration of a diverse range of symmetric systems, demonstrating the power of this relatively new and novel computational approach.
Alphose Zingoni is professor of structural engineering and mechanics in the Department of Civil Engineering at the University of Cape Town. He holds an M.Sc in structural engineering and a Ph.D in shell structures, both earned at Imperial College London. Dr. Zingoni has research interests encompassing shell structures, space structures, vibration analysis, and applications of group theory to problems in computational structural mechanics. He has written numerous scientific papers on these topics, which have been published in leading international journals and presented at various international conferences worldwide.
Inhaltsangabe
Part I. Essentials. Introduction. Single degree of freedom systems. Systems with more than one degree of freedom. Continuous systems. Finite element vibration analysis. Part II. Group theoretic formulations. Basic concepts of symmetry groups and representation theory. Rectilinear models. Plane structural grids. High tension cable nets. Finite difference formulation for plates. Finite element formulations for symmetric elements.
Part I. Essentials. Introduction. Single degree of freedom systems. Systems with more than one degree of freedom. Continuous systems. Finite element vibration analysis. Part II. Group theoretic formulations. Basic concepts of symmetry groups and representation theory. Rectilinear models. Plane structural grids. High tension cable nets. Finite difference formulation for plates. Finite element formulations for symmetric elements.
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