| 材料随机梁的有限元分析 |
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| 引用本文： | 倪新华,路晓波,马英忱,刘云庭. 材料随机梁的有限元分析[J]. 军械工程学院学报, 2001, 13(4): 57-61 |
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| 作者姓名： | 倪新华 路晓波 马英忱 刘云庭 |
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| 作者单位： | 军械工程学院基础部 河北石家庄050003(倪新华，路晓波，马英忱)，军械工程学院基础部 河北石家庄050003(刘云庭) |
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| 基金项目： | 军械工程学院科研基金资助项目 |
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| 摘 要： | 提出一种以柔度为基础的具有随机刚度弯曲梁的有限元公式。在计算过程中 ,用与刚度均值有关的内力近似表示未知内力值。通过蒙特卡罗模拟可示出刚度的一维可靠性密度函数和相关函数 ,可用来估算柔度的均值和协方差函数。最后根据新的公式计算出随机梁的均值和协方差。
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| 关 键 词： | 柔度 随机刚度 均值 协方差 |
| 文章编号： | 1008-2956(2001)04-0057-05 |
| 修稿时间： | 2001-05-28 |
FLEXIBILITY-BASED FINITE ELEMENT ANALYSIS FOR BEAMS WITH RANDOM MATERI AL |
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| NI Xin-hua LU Xiao-bo MA Ying-chen LIU Yun-ting. FLEXIBILITY-BASED FINITE ELEMENT ANALYSIS FOR BEAMS WITH RANDOM MATERI AL[J]. Journal of Ordnance Engineering College, 2001, 13(4): 57-61 |
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| Authors: | NI Xin-hua LU Xiao-bo MA Ying-chen LIU Yun-ting |
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| Abstract: | A flexibilty based finite element formulation for beams wit h stochastic bending stiffness is proposed.The internal forces associated with the mean stiffness are used to approximate the unknown internal forces in the pr ocess of copulation with the new formulation,the mean and covariance of the disp lacement for stochastic beams can be directly calculated in terms of mean and co variance function of the flexibility which can be evaluated from one-dimensional probability density function and the correlation function of the stiffness by t he monte carlo simulation. |
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| Keywords: | flexibility stochastic stiffness mean value covariance |
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