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NONLINEAR STABILITY OF TRUNCATED SHALLOW SPHERICALSHELL WITH VARIABLE THICKNESS UNDERUNIFORMLY DISTRIBUTED LOAD

Applied Mathematics and Mechanics(English Edition) 1997年第10期18卷 0-0,0-0+0-0页

作者：严圣平 China University of Mining and Technology Xuzhou Peoples Republic of China

In this paper, to begin with. the nonlinear differential equations of a truncaled shallow spherical shell with variable thickness under uniformal distributed load are linearized by step-by-step loading method. The linear differential equations can be solved by spline collocanon method. Critical loads have been obtained accordingly.

关键词： truncated shallow spherical shell with variable thickness,nonlinear stability step-by-step loading method spline collocation method

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AN EFFICIENT NUMERICAL method FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO CAPUTO DERIVATIVES

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Journal of Computational Mathematics 2016年第2期34卷 113-134页

作者： Shuiping Yang Aiguo Xiao Department of Mathematics Huizhou University Guangdong 516007 China School of Mathematics and Computational Science Hunan Key Laboratory for Computation and Simulation in Science and Engineering Xiangtan University Hunan 411105 China

In this paper, we study the Hermite cubic spline collocation method with two parame- ters for solving a initial value problem （IVP） of nonlinear fractional differential equations with two Caputo derivatives. The convergence and nonlinear stability of the method are established. Some illustrative examples are provided to verify our theoretical results. The numerical results also indicate that the convergence order is min{4 - α, 4 - β}, where 0 〈β〈 αa 〈 1 are two parameters associated with the fractional differential equations.

关键词： Fractional differential equations Caputo derivatives spline collocation method Convergence Stability.

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CUBLIC spline SOLUTIONS OF AXISYMMETRICALNONLINEAR BENDING AND BUCKLING OFCIRCULAR SANDWICH PLATES

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Applied Mathematics and Mechanics(English Edition) 2005年第1期26卷 131-138页

作者：侯朝胜张守恺林锋 Department of Civil Engineering Tianjin University Tianjin 300072 P.R.China

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 spline collocation method

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NONLINEAR STABILITY OF TRUNCATED SHALLOW SPHERICAL SHELL WITH VARIABLE THICKNESS

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International Journal of Mining Science and Technology 1996年第2期 94-98页

作者：严圣平

In this paper the nonlinear differential equations of a truncated shallow spherical shell with variable thickness under uniform load is linearized by step-by-step loading method. And the linear differential equations ... 详细信息

关键词： truncated shallow spherical shell with variable thickness nonlinear stability step-by-step loading method spline collocation method

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