Nonlinear free vibration of heated orthotropic rectangular plates

DOI10.1016/0020-7683(86)90091-0zbMath0581.73073OpenAlexW2057712361MaRDI QIDQ1067854

Shoou-Chian Jen, Weilin P. Chang

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0020-7683(86)90091-0

zbMATH Keywords

Galerkin's methodsuccessive approximationvarious boundary conditionsanalytical analysisdirect linearizationtemperature changesnonlinear governing equationsBerger's analysisbuckling temperaturecompared with numerical results from Runge-Kutta methodcomplete elliptic cosinecoupled linear solutionsDuffing-type nonlinear ordinary equationsheated orthotropic rectangular thin platelarge amplitudesone-term approximationperiod of free vibrationssingle linear equation for plate flexural vibrationthree coupled governing equationsTwo different approaches to linearize thermoelastic plate equationsuncoupled caseuncoupled quasi-linear equationsuncoupling of linearized equationsvon Kármán nonlinear plate theory

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Vibrations in dynamical problems in solid mechanics (74H45) Thermal effects in solid mechanics (74F05)

Related Items (7)

Dynamic and buckling analysis of a thin elastic-plastic square plate in a uniform temperature field ⋮ Chaotic and bifurcation dynamic behavior of a simply supported rectangular orthotropic plate with thermo-mechanical coupling ⋮ Chaotic [motion and bifurcation for a simply-supported thermo-mechanical coupling circular plate with variable thickness] ⋮ Nonlinear finite element analysis of laminated composite spherical shell vibration under uniform thermal loading ⋮ Thermoelastic free vibration of clamped circular plate. ⋮ Analysis of thermal-elastic coupling vibration of large deflection cylindrical shell ⋮ Chaotic and bifurcation dynamics for a simply supported rectangular plate of the thermo-mechanical coupling in large deflection.

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