Nonlinear forced vibration of orthotropic thin rectangular plates

DOI10.1016/0020-7403(88)90108-7zbMath0638.73022OpenAlexW1967646958MaRDI QIDQ1099681

B. George

Publication date: 1988

Published in: International Journal of Mechanical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7403(88)90108-7

zbMATH Keywords

iterative procedureorthogonal point collocation methodGeometric nonlinearitydiscretized equationstransverse displacementsimply-supportedall edges clampedimmovable inplaneKantorovich averaging methodlarge amplitude forced vibrationsorthotropic thin rectangular platestime-mode solutionuniformly distributed harmonic forcevon Kármán type large deflection plate theory

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Anisotropy in solid mechanics (74E10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (4)

A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation ⋮ Nonlinear vibration for moderate thickness rectangular cracked plates including coupled effect of elastic foundation ⋮ Bifurcation and chaos of rectangular moderately thick cracked plates on an elastic foundation subjected to periodic load ⋮ Research of nonlinear vibrations of orthotropic plates of a complex form

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