906 非一様温度場における不均質長方形板の熱弾性安定性(OS-5 不均質材料の熱応力と安定性,研究発表講演)

概要

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We study the thermoelastic stability of inhomogeneous rectangular plates under nonuniform temperature field. We assume that the material properties are changed in the thickness direction with power law of the coordinate variable. Using Galerkin method, nonlinear partial differential equations which is the dynamic version of von Karman model are reduced to a system of nonlinear ordianry differential equations by expressing the Fourier amplitudes as a series of linear eigenfunctions. The plate edges are assumed to be free for in-plane motions and simply supported for out-of-plane motions. The qualitative study is carried out by means of a single-mode Galerkin approximation. We study the linear stability around the equilibrium solutions and the critical buckling temperatures are obtained through the eigensystem analysis. The effects of the material inhomogeneity, the aspect ratio, and so on are discussed.
2005-03-18