Fourier series solution for a rectangular thick plate with free edges on an elastic foundation

DOI10.1002/nme.1620181205zbMath0496.73074OpenAlexW2125702822MaRDI QIDQ3960274

D. J. Henwood, J. R. Whiteman, A. L. Yettram

Publication date: 1982

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620181205

zbMATH Keywords

elastic foundationthick rectangular platelinear elastic behaviourFourier series solutionarbitrary transverse loadsystem of first-order partial differential equationssum of two serieslateral edges are unstressedcombine a complementary function with particular solution of systemFourier term in space variablereversing roles of space variablessolution of eigenvalue problem in other space variable

Mathematics Subject Classification ID

Plates (74K20) Series solutions to PDEs (35C10) Numerical methods for partial differential equations, boundary value problems (65N99)

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