Effect of thermal gradient on frequencies of an orthotropic rectangular plate whose thickness varies in two directions

DOI10.1016/0022-460X(85)90389-XzbMath0558.73051OpenAlexW2041198680MaRDI QIDQ3347407

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Publication date: 1985

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(85)90389-x

zbMATH Keywords

free vibrationsupper boundfrequency equationtemperature gradientvarious boundary conditionsorthotropic rectangular plateRayleigh-Ritz techniquestwo-term deflection functioneffect of a constant thermal gradientfirst mode of vibrationstaper constantsthickness varies linearly in two directionsvarious values of the length to width ratio

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Thermodynamics in solid mechanics (74A15)

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The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review ⋮ An analytical approach on thermally induced vibrations of nonhomogeneous tapered plate ⋮ Thermal gradient effects on the vibration of prestressed rectangular plates ⋮ A homotopy-based wavelet method for extreme large bending analysis of heterogeneous anisotropic plate with variable thickness on orthotropic foundation ⋮ Study of thermal gradient effect on vibrations of a non-homogeneous orthotropic rectangular plate having~bi-direction linearly thickness variations ⋮ Vibrations of nonhomogeneous orthotropic rectangular plates with bilinear thickness variation resting on Winkler foundation ⋮ Study of the effect of thermal gradient on free vibration of clamped visco-elastic rectangular plates with linearly thickness variation in both directions ⋮ Thermally induced vibration of orthotropic trapezoidal plate of linearly varying thickness ⋮ On the use of GDQ for vibration characteristic of non-homogeneous orthotropic rectangular plates of bilinearly varying thickness

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