| 弯曲梁随机刚度有限元法 |
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| 引用本文： | 倪新华,路晓波,等.弯曲梁随机刚度有限元法[J].计算力学学报,2000,17(4):456-460. |
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| 作者姓名： | 倪新华 路晓波 |
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| 作者单位： | 军械工程学院,石家庄,050003 |
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| 摘 要： | 弯曲梁的随机材料参数和随机几何参数可结合为一个随机参数-弯曲刚度。以位移的均值和协方差函数的变分原理为基础，根据基本方程推导出具有随机刚度的静定弯曲梁的有限元法。这种方法不再采用摄动技术，可直接建立位移的均值和协方差函数。
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| 关 键 词： | 变分原理 随机刚度 均值函数 协方差函数 弯曲梁 有限元法 |
| 修稿时间： | 1998-11-04 |
Finite element method of the bending beam with stochastic rigidity |
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| NI Xin\|hu,LU Xiao\|bo,LIU Yun\|ting.Finite element method of the bending beam with stochastic rigidity[J].Chinese Journal of Computational Mechanics,2000,17(4):456-460. |
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| Authors: | NI Xin\|hu LU Xiao\|bo LIU Yun\|ting |
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| Abstract: | The stochastic material parameter of bending beam can be integrated with its stochastic geometrical parameter into one stochastic parameter. It was defined flexural rigidity. Based on variational principle for mean value and covariance function of displacement, a finite element method for statically determined bending beam with stochastic rigidity was setted up. It no longer relies on perturbation technique and is directly established. |
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| Keywords: | variational principle stochastic rigidity mean value function covariance function |
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