Vibrations of Plates
Take Advantage of Powerful New Dynamical Modeling Tools ! This comprehensive, self-contained introduction of vibration theory and analysis of two-dimentensional plates reflects the author's more than 15 years of original research on plate vibration. It goes beyond historically accepted analysis tools - such as the finite element method (FEM), finite difference method (FDM), and boundary element method (BEM), which are based on numerous approximations for irregular shapes and sometimes lead to inaccuracies and extended computing time. This text presents new alternative computational methodologies and efficient shape functions from an engineering perspective to facilitate quicker, easier, and more accurate analysis and design safety. This versatile reference: Explores the latest in theory, testing and application. Provides background information on vibration problems. Discusses various plate geometries, boundary conditions, and material properties, and their complication effects and associated practical problems. Details the new concepts and application-oriented treatment of boundary characteristic orthogonal polynomials (BCOPs) in the rayleigh=Ritz method. Explains a variety of complicating effects that may occur in plate materials. Demonstrates the efficiency and power of appropriate algorithms and methods. relying on comprehensive results to demonstrate effectiveness of analysis methods, as well as up-to-date. self-contained reviews, and associated theory and analysis, this book clearly explains vibration in general, and vibration of plates in particular. The resulting text is a powerful reference that will serve the engineering and scientific communities now and in the future.