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Harmonic Standing-Wave Excitations of Simply-Supported Thick-Walled Hollow Elastic Circular Cylinders:Exact 3D Linear Elastodynamic Response

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Advances in Applied Mathematics and Mechanics 2021年第1期13卷 18-57页

作者： Jamal Sakhr blaine a.chronik Department of Physics and Astronomy The University of Western OntarioLondonOntario N6A 3K7 Canada

The forced-vibration response of a simply-supported isotropic thick-walled hollow elastic circular cylinder subjected to two-dimensional harmonic standing-wave excitations on its curved surfaces is studied within the framework of linear *** semi-analytical solutions for the steady-state displacement field of the cylinder are constructed using recently-published parametric solutions to the Navier-Lam´e *** application of the standing-wave boundary conditions generates three parameter-dependent 66 linear systems,each of which can be numerically solved in order to determine the parametric response of the cylinder’s displacement field under various *** method of solution is direct and demonstrates a general approach that can be applied to solve many other elastodynamic forcedresponse problems involving isotropic elastic *** an application,and considering several examples,the obtained solution is used to compute the steady-state frequency response in a few specific low-order excitation *** each case,the solution generates a series of resonances that are in exact correspondence with a unique subset of the natural frequencies of the simply-supported *** considered problem is of general theoretical interest in structural mechanics and acoustics and more practically serves as a benchmark forced-vibration problem involving a thickwalled hollow elastic cylinder.

关键词： Thick-walled hollow elastic cylinders simply-supported thick cylindrical shells harmonic standing-wave boundary stresses forced vibration linear elastodynamic response

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