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CUBLIC SPLINE SOLUTIONS OF AXISYMMETRICALNONLINEAR BENDING AND BUCKLING OFCIRCULAR SANDWICH PLATES

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【作者】 侯朝胜； 张守恺； 林锋；

【Author】 HOU Chao-sheng, ZHANG Shou-kai, LIN Feng(Department of Civil Engineering, Tianjin University, Tianjin 300072, P.R.China)(Communicated by LIU Ren-huai)

【机构】 Department of Civil Engineering； Tianjin University； Tianjin 300072； P.R.China； P.R.China；

【Abstract】 Cubic B-spline taken as trial function, the nonlinear bending of a circular sandwich plate was calculated by the method of point collocation. The support could be elastic. A sandwich plate was assumed to be Reissner model. The formulae were developed for the calculation of a circular sandwich plate subjected to polynomial distributed loads, uniformly distributed moments, radial pressure or radial prestress along the edge and their combination. Buckling load was calculated for the first time by nonlinear theory. Under action of uniformly distributed loads, results were compared with that obtained by the power series method. Excellences of the program written by the spline collocation method are wide convergent range, high precision and universal.

【关键词】 circular sandwich plate； large deflection； buckling；