基于最小参数区间集的不确定结构响应分析

王晓军; 王磊; 邱志平

doi:10.3879/j.issn.1000-0887.2012.09.005

基于最小参数区间集的不确定结构响应分析

doi: 10.3879/j.issn.1000-0887.2012.09.005

北京航空航天大学固体力学研究所, 北京 100083

基金项目: 国家自然科学基金资助项目(11002013)；国防基础科研计划基金资助项目(A2120110001；B2120110011)；高等学校学科创新引智计划基金资助项目(B07009)

详细信息

通讯作者:
王晓军(1978—),男,陕西岐山人,副教授,博士,博士生导师(联系人. E-mail: xjwang@buaa.edu.cn).

中图分类号: O327
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- 被引次数: 0
出版历程
- 收稿日期: 2011-04-29
- 修回日期: 2012-04-12
- 刊出日期: 2012-09-15

Response Analysis Based on Smallest Interval Set of Parameters for Structures With Uncertainty

Institute of Solid Mechanics, Beihang University, Beijing 100191, P.R.China

摘要

摘要: 考虑到实际工程问题中普遍存在不确定性，完成了针对工程结构从定量化到传播的完整不确定性分析过程．通过建立包含全部有限样本点的最小区间/超立方体域来描述不确定参数的变化范围；借助于最小区间参数集，开展了不确定结构传播分析的研究工作以确定其最有利/不利响应．此外，进一步就给出的区间分析方法同经典概率方法的相容性进行了分析和探究．采用2个数值算例很好地论证了所述方法的正确性和可行性．
- 定量化分析 /
- 最小区间集/超立方体 /
- 不确定结构响应 /
- 最有利响应 /
- 最不利响应
Abstract: An integral analytic process from quantification to propagation based on limited uncertain parameters was investigated for dealing with practical engineering problems. A new method using the smallest intervalset/hyperrectangle containing all the experimental data was proposed to quantify the uncertainties of parameters. By virtue of the smallest parameter interval-set, the study of uncertainty propagation evaluating the most favorable response and the least favorable response of structures based on interval analysis was then presented. Furthermore, the relationship between the proposed interval analysis method and the classical interval analysis method was discussed. Two numerical examples were performed to demonstrate the feasibility and validity of the developed method.
- quantification analysis /
- smallest interval-set/hyper-rectangle /
- uncertain structural response /
- most favorable response /
- least favorable response

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参考文献(18)

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