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| 引用本文： | 张春玉,王振清,韩玉来.?????????????????????????[J].力学与实践,2007,29(4):51-54. |
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| 作者姓名： | 张春玉 王振清 韩玉来 |
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| 作者单位： | 哈尔滨工程大学建筑工程学院，哈尔滨，150001 哈尔滨工程大学建筑工程学院，哈尔滨，150001 哈尔滨工程大学建筑工程学院，哈尔滨，150001 |
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| 基金项目： | 高等学校博士学科点专项科研项目，黑龙江省教育厅科学技术研究项目 |
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| 摘 要： | 基于计算结构力学理论与递推公式相结合的方法，推导出随机刚架结构在退化成机构
前各阶段的内力与结构处于初始状态时的内力关系. 因此，在基于随机有限元的可靠性分
析过程中，不必反复修改刚阵和进行反向节点力的增加，在极限状态函数对设计变量求导
过程中，导数形式只用到了原结构总刚度矩阵和原结构外载向量，这对编写电算程序是有
益的. 应用所提的方法与其它基于随机有限元的可靠性分析方法所求得的结果是一致
的，且大大提高了计算效率.
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| 关 键 词： | 可靠性 刚架结构 随机有限元 极限状态函数 |
| 收稿时间： | 2006-9-6 |
| 修稿时间： | 2006-09-062007-03-22 |
RELIABILITY ANALYSIS OF STOCHASTIC FRAME STRUCTURE BASED ON RECURRENCE FORMULA |
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| ZHANG Chunyu,WANG Zhenqing,HAN Yulai.RELIABILITY ANALYSIS OF STOCHASTIC FRAME STRUCTURE BASED ON RECURRENCE FORMULA[J].Mechanics and Engineering,2007,29(4):51-54. |
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| Authors: | ZHANG Chunyu WANG Zhenqing HAN Yulai |
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| Institution: | 1.School of Civil Engineering, Harbin Engineering University, Harbin 150001, China;2.School of Civil Engineering, Heilongjiang Institute of Science and Technology, Harbin 150027, China |
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| Abstract: | Based on structural mechanics,the internal force is obtained for the initial structure and the structure at the each failure state before it yields by a collapse mechanism.Thus,the repeated modification of global stiffness matrix and reverse node force can be avoided in the process of stochastic reliability analysis. The partial derivatives of the limit state function to each variable can be obtained from the global stiffness matrix and the load vector of the initial structure,which is advantageous for developing computer programs. It is shown that the result is the same as using the other reliability method based stochastic finite element. However,the efficiency is greatly improved. |
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| Keywords: | reliability frame structure stochastic finite element limit state function |
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