Large amplitude response of circular plates on elastic foundations

DOI10.1016/0020-7462(82)90028-2zbMath0504.73041OpenAlexW2061231815MaRDI QIDQ1836336

Yogendra Nath

Publication date: 1982

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(82)90028-2

zbMATH Keywords

Chebyshev polynomialssimply supported immovable edge conditionsspace and time-wise integrationscircular plates resting on Winkler and Pasternak elastic foundationsclamped immovableimplicit Houbolt techniquesinfluence of foundation parameters on large amplitude responseminimax central responsenonlinear dynamic behavioursubjected to step function loadsvon Kármán type partial differential equations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Numerical and other methods in solid mechanics (74S99)

Related Items (7)

Large deflection problem of thin orthotropic circular plate on elastic foundation with variable thickness under uniform pressure ⋮ Global bifurcations and homoclinic trees in motion of a thin rectangular plate on a nonlinear elastic foundation ⋮ Bifurcation and chaos of the circular plates on the nonlinear elastic foundation ⋮ LARGE DEFLECTION STATIC AND DYNAMIC ANALYSIS OF THIN CIRCULAR PLATES RESTING ON TWO-PARAMETER ELASTIC FOUNDATION: HDQ/FD COUPLED METHODOLOGY APPROACHES ⋮ General solution for large deflection problems of nonhomogeneous circular plates on elastic foundation ⋮ A semi-analytic approach for the nonlinear dynamic response of circular plates ⋮ Axisymmetric bending for thick laminated circular plate under a concentrated load

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