Abstract
On the basis of Hamilton's principle and dynamic version of von Kármán's equations, the nonlinear vibration and thermal-buckling of a uniformly heated isotropic annular plate with a completely clamped outer edge and fixed rigid mass along the inner edge are studied. By parametric perturbation and numerical differentiation, the nonlinear response of the plate-mass system and the critical temperature in the mid-plane at which the plate is in buckled state are obtained. Some meaningful characteristic curves and data tables are given.
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Communicated by Yeh Kai-yuan
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Shi-rong, L. Nonlinear vibration and thermal-buckling of a heated annular plate with a rigid mass. Appl Math Mech 13, 771–777 (1992). https://doi.org/10.1007/BF02451544
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DOI: https://doi.org/10.1007/BF02451544