| 考虑轴力的简支梁非线性静力问题的DQ解 |
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| 引用本文： | 梁枢平,陈文.考虑轴力的简支梁非线性静力问题的DQ解[J].华中科技大学学报(自然科学版),1998(2). |
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| 作者姓名： | 梁枢平 陈文 |
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| 作者单位： | 华中理工大学力学系!430074(梁枢平)，新加坡国立大学!430074(陈文) |
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| 摘 要： | 采用DQ法分析了轴力影响不可忽略时简支梁的静力问题．在求解所导出的耦合的非线性方程组时，采用了特殊矩阵乘积技术进行解耦计算，从而使得随后的牛顿-拉弗森法迭代计算量大大减少．
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| 关 键 词： | DQ法 特殊矩阵乘积 解耦计算 牛顿-拉弗森法 |
The DQ Solution of Nonlinear Static Problem of Simply-Supported Beam in Consideration of Axial Force |
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| Liang Shuping, Chen Wen.The DQ Solution of Nonlinear Static Problem of Simply-Supported Beam in Consideration of Axial Force[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1998(2). |
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| Authors: | Liang Shuping Chen Wen |
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| Abstract: | This paper analyses the static problem of the simply-supported beam with DQ method in case when the axial force cannot be neglected. The matrix representation is recommended for the DQ formulation so as to make it clear and simple. The technique of special matrix products are used for decoupling calculations during the solving of the derived coupling nonlinear set of equations, thereby the workload of the iterative computations by Newton-Raphson method afterwards are greatly reduced. |
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| Keywords: | DQ method special matrix product decoupling calculation Newton-Raphson method |
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