Eigenvalues of Shells of Revolution via Wittrick-Williams Algorithm - Chen, Xudong
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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…mehr

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Produktbeschreibung
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.
Autorenporträt
Dr. Xudong Chen was born in Zhangjiagang, China in March 1984. He was conferred the PhD degree in civil engineering at the University of Birmingham, UK in 2013. He is currently an academic in Suzhou University of Science and Technology, China. His research focuses on structure vibration and failure with novel experimental and computational methods.