変厚偏平シェルの動的座屈解析

概要

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Dynamic buckling of shallow shells with the variable thickness are analyzed by both the mode superposition method (MSM) and the finite element method (FEM) in the present paper. The critical values and the calculation time by these methods are compared. Vlasov's equations for the shallow shells are taken as the basic equations. A Roller support is assumed for a boundary condition. A step function is adopted for an input excitation in a vertical direction. Damping effects are disregarded. A parameter is introduced for the thickness distribution of the shell. Numerical analysis is carried out for the various values of the parameter. The calculation time for the response analysis in time domain by MSM is about 0.5% of the time by FEM. The difference of the critical values by the two method is at most about 10%. It is concluded that MSM is valid when the quick and simple solutions are demanded.
一般社団法人日本建築学会の論文
2001-03-20