杨加明, 雷金波. 两邻边铰支两邻边固支von-Karman矩形板的研究[J]. 南昌航空大学学报(自然科学版), 1999, 13(4): 61-65.
引用本文: 杨加明, 雷金波. 两邻边铰支两邻边固支von-Karman矩形板的研究[J]. 南昌航空大学学报(自然科学版), 1999, 13(4): 61-65.
Yang Jiaming, Lei Jingbo. The Research of von-Karman Rectangular Plates with two Adjacent edges Simply Supported and The two Other Adjacent Edges Clamped[J]. Journal of nanchang hangkong university(Natural science edition), 1999, 13(4): 61-65.
Citation: Yang Jiaming, Lei Jingbo. The Research of von-Karman Rectangular Plates with two Adjacent edges Simply Supported and The two Other Adjacent Edges Clamped[J]. Journal of nanchang hangkong university(Natural science edition), 1999, 13(4): 61-65.

两邻边铰支两邻边固支von-Karman矩形板的研究

The Research of von-Karman Rectangular Plates with two Adjacent edges Simply Supported and The two Other Adjacent Edges Clamped

  • 摘要: 本文运用双重Fourier级数分析了受横向均布载荷作用下两邻边铰支两邻边固支矩形板的非线性弯曲问题。利用该级数正交性,可以把非线性偏微分控制方程化为含级数系数的非线性代数方程组并通过迭代解出所有系数。最后给出了位移和应力的计算结果。

     

    Abstract: Based on double Fourier series,the nonliear bending is analysed for is otropic rectangular plates with two adjacent edges simply supported and two other adjacent edges clamped under constant laterally distributed loads.Using orthogonality relations of Fourier series,we reduce governing nonlinear partial differential equations to an infinite set of system of nonlinear algebraic equations containing Fourier cofficients.Numerical results of central deflection bending stress and membrane stress are obtained by iterative computing method.

     

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