| 区间参数杆系结构非概率可靠性指标的改进仿射算法 |
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| 引用本文： | 朱增青,陈建军,宋宗凤,林立广.区间参数杆系结构非概率可靠性指标的改进仿射算法[J].工程力学,2010(2). |
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| 作者姓名： | 朱增青 陈建军 宋宗凤 林立广 |
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| 作者单位： | 西安电子科技大学机电工程学院; |
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| 基金项目： | 国家863高技术研究发展计划项目(2006AA04Z402);;国防预研项目(Y13406040101) |
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| 摘 要： | 将杆系结构中的不确定性参数用区间数表示,建立结构的非概率可靠性指标求解方程。将矩阵形式的仿射算术和递归导数信息结合,提出了改进的二元区间多项式矩阵形式的仿射上下界公式。给出了有界不确定性变量的仿射型和区间形式的相互转化,将有界不确定性变量的仿射型及结合导数信息的矩阵形式的仿射运算引入到杆系结构基于区间模型的非概率可靠性指标计算中。分别以某外伸梁和十杆桁架结构为例对该方法的可行性和有效性进行了验证。
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| 关 键 词： | 固体力学 可靠性 仿射运算 区间 导数 |
NON-PROBABILISTIC RELIABILITY INDEX OF BAR STRUCTURES WITH INTERVAL PARAMETERS BASED ON MODIFIED AFFINE ARITHMETIC |
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| ZHU Zeng-qing,CHEN Jian-jun,SONG Zong-feng,LIN Li-guang.NON-PROBABILISTIC RELIABILITY INDEX OF BAR STRUCTURES WITH INTERVAL PARAMETERS BASED ON MODIFIED AFFINE ARITHMETIC[J].Engineering Mechanics,2010(2). |
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| Authors: | ZHU Zeng-qing CHEN Jian-jun SONG Zong-feng LIN Li-guang |
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| Abstract: | Uncertain parameters are described as interval numbers, then, the reliability index equations of bar structures are obtained. A modified matrix affine arithmetic polynomial evaluation method, together with recursive derivative information, is proposed in this paper. Recognizing that affine forms and intervals variables can transform each other, affine forms of bounded uncertain variables and modified affine arithmetic including derivative information for univariate interval polynomial evaluation are introdu... |
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| Keywords: | solid mechanics reliability affine arithmetic interval derivatives |
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