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增分 Galerkin法에 의한 固定板의 座屈 및 座屈後 擧動 解析
白点基,李晩承,金昌烈 부산대학교 공과대학 1991 工大論文集 Vol.42 No.-
In the previous papers [1-2], the first author developed Incremental Galerkin Method(IGM) in order to analyse the elastic large deflection behaviour of simply supported plates. In this method, the incremental expression of the differential equation which governs the large deflection behaviour of plates with initial deflection is derived. Then the incremental governing equation is solved by using Galerkin method. IGM may be very useful tool in both accuracy and computing time when buckling and post-buckling behaviour of plates with initial deflection is analyzed. Also, using IGM the influence of initial imperfections affecting the large deflection behaviour can be investigated. In the present study, the use of IGM is extended to clamped plates. An accurate Fourier Series function which stands for the deflected shape of clamped plates is assumed. Using the assumed deflection function, the incremental governing equation is solved. A computer program is completed based on the present theory. The preparation of the input data for the use of the computer program is very simple. Then the computer program is applied to the analysis of buckling and post-buckling behaviour of a clamped square plate. A comparison of large deflection behaviours between simply supported and clamped plates is made. It is concluded that the present method gives an accurate solution in the short computing time.