Forced vertical vibrations of an elastic elliptic plate on an elastic half-space -- a direct approach using orthogonal polynomials

DOI10.1016/S0020-7683(00)00040-8zbMath1005.74030OpenAlexW2089890636MaRDI QIDQ5926080

Mithu Mukherjee

Publication date: 19 February 2003

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7683(00)00040-8

zbMATH Keywords

forced vibrationsAbelian transformationselastic half-spaceexpansion techniquenormal stressorthogonal Jacobi polynomialsrigid elliptic indentertransfer matrixtwo-dimensional dual integral equationtwo-dimensional Fredholm integral equationvibrating indenter

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

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