空力加熱による長方形平板の変形と熱応力 : 四辺単純支持の場合

概要

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The deformation and thermal stress for a rectangular plate, subjected to an arbitrary symmetrical temperature distribution, are analyzed for the case where the edges of the plate are simply supported, taking the finite deformation into account. The fundamental non-linear simultaneous partial differential equations for the thermoelastic problem are derived from the variational principle and are solved, and it is shown that, if there exists a temperature gradient through the thickness of the plate as seen in the aerodynamic heating, the plate starts to deflect at the moment of heating and does not exhibit the buckling phenomenon according to the mode of temperature distribution and the boundary conditions. Some numerical examples are given i) for the case where the temperature distribution through the thickness is specified as linear, and ii) for the case of instantaneous heating where the temperature distribution through the thickness is a function of time, and then some discussions on the analytical results are given.
一般社団法人日本機械学会の論文
1961-07-25