| 引用本文: | 王新立,张仁述.样条有限点法分析板的非线性动力响应问题.[J].国防科技大学学报,1992,14(4):27-33.[点击复制] |
| Wang Xinli,Zhang Renshu.Using Spline Finite Point Method to Solve the Problem of Nonlinesr Dynamic Response of Plates[J].Journal of National University of Defense Technology,1992,14(4):27-33[点击复制] |
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| 样条有限点法分析板的非线性动力响应问题 |
| 王新立, 张仁述 |
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(航天技术系)
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| 摘要: |
| 本文提出了用样条有限点法分析板的几何非线性动力响应问题。采用了三次 B 样条函数与梁的振型函数的乘积作为试函数，由虚位移原理的动力方程出发，建立起以样条函数结点参数表示的基本方程，推导了非线性刚度矩阵的精确显式，并用 wilson-??法求解动力增量方程，求得挠度响应曲线。本文给出了算例，并与文献结果进行比较，本文提出的方法具有计算量小、精度高等优点。是十分有效的方法。 |
| 关键词: 几何非线性，动力响应，试函数 |
| DOI： |
| 投稿日期：1991-11-15 |
| 基金项目: |
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| Using Spline Finite Point Method to Solve the Problem of Nonlinesr Dynamic Response of Plates |
| Wang Xinli, Zhang Renshu |
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(Department of Aerospace Technology)
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| Abstract: |
| In this paper，the spline finite point methods is proposed to solve the problem of geometric nonlinear dynamic response of plates. Taking the form of the product of the cubic spline function and the mode shape function of beam，as trial function and starting from virtual displacement principle，the exact and explicit expression of nonlinear stiffness matrix is derived and the dynamic incremental equations are solved by means of wilson-θ method. The computational examples are given in this paper. Compared to the achievements known，the method in it has following advantages: it leads to smaller amount of computational work，and 1t has higher accuracy. So the spline finite point method is more effective in analyring nonlinear dynamic response of plates. |
| Keywords: dynamic respones,geometric nonlinearity,trial function |
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