変厚矩形板の座屈の一解析法

概要

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The basic differential equations of rectangular plate with variable thickness are formed by the simultaneous partial differential equations with variable coefficients which are composed of the flexural rigidity of the plate D (x, y) and the thickness of the plate h (x, y). Therefore, it is impossible to obtain the analytical solutions under these generalities. In this paper, we derived the discrete general solutions for the basic differential equations of rectangular plate with variable thickness by applying the transformation of the differential equations into the integral equations and trapezoidal rule of numerical integration. Then we proposed the approximate method to analyze the buckling problems of rectangular plate with arbitrary boundary condition, load condition and distribution of the thickness. The results of numerical analysis are as follows. 1) The numerical solutions which obtained using the present method converge monotonously. 2) Even the analysis by division as coarse as 8 provide good accurate solutions. 3) Using extrapolation, better results can be obtained.
長崎大学工学部,Faculty of Engineering, Nagasaki Universityの論文