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This book presents the formulation for predicting exact eigenvalues of shells of revolution by using the Wittrick-Williams algorithm and dynamic stiffness method. Free vibration partial differential equations (PDE) of shells of revolution are degraded analytically into series of ordinary differential equations (ODE). The set of ordinary differential equations is rewritten in the Hamilton form, from which dynamic stiffnesses are computed using the ODE solver COLSYS. A solution for solving the number of clamped-end frequencies J0 in the Wittrick-Williams algorithm is also provided for both uniform and non-uniform shell segments. Based on the theories, a Fortran code has been developed and is available. The book aims to help those who are interested in the principles, implementations and benchmarks of this novel computational approach for examining exact eigenvalues of shells of revolution.
A comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems* Offers the recent and most important advances in inverse scattering grounded in fundamental theory, algorithms and practical engineering applications* Covers the latest, most relevant inverse scattering techniques like signal subspace methods, time reversal, linear sampling, qualitative methods, compressive sensing, and noniterative methods* Emphasizes theory, mathematical derivation and physical insights of various inverse scattering problems* Written by a leading expert in the field
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