针对非线性极限状态方程的时变可靠度分析

黄新萍; 姜潮; 韩旭

doi:10.6052/0459-1879-13-190

针对非线性极限状态方程的时变可靠度分析

doi: 10.6052/0459-1879-13-190

湖南大学汽车车身先进设计制造国家重点实验室, 机械与运载工程学院, 长沙 410082

基金项目: 国家自然科学基金（11172096）；国家自然科学基金优秀青年科学基金（51222502）；教育部新世纪优秀人才支持计划（NCET-11-0124）和全国优秀博士论文专项基金（201235）资助项目.

详细信息

作者简介:
姜潮，教授，主要研究方向：现代设计技术与车辆工程.E-mail：jiangc@hnu.edu.cn

中图分类号: TB114.3
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出版历程
- 收稿日期: 2013-06-25
- 修回日期: 2013-07-18
- 刊出日期: 2014-03-18

A TIME-VARIANT RELIABILITY ANALYSIS METHOD FOR NON-LINEAR LIMIT-STATE FUNCTIONS

State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China

Funds: The project was supported by the National Natural Science Foundation of China (11172096), the National Natural Science Foundation of China-Science Foundation for Excellent Youth (51222502), Program for New Century Excellent Talents in University (NCET-11-0124), and the National Excellent Doctoral Dissertation Special Fund (201235).

摘要

摘要: 提出了一种针对一般非线性极限状态方程的时变结构可靠度分析方法. 该方法首先将时变功能函数中的随机过程进行离散，获得多个不同时间段的静态功能函数. 之后，将各功能函数在最大可能点处进行线性化，并运用全概率公式将其化简为一新的静态可靠度分析模型，该模型可运用传统的一次二阶矩方法进行高效求解.最后通过管状悬臂梁、十杆桁架、汽车发动机主轴3 个算例验证了该方法的有效性.
- 时变可靠度 /
- 最大可能点 /
- 线性化 /
- 一次二阶矩方法
Abstract: Time-variant reliability problems appear in the engineering practice when loads stochastically change or the material properties of the structure deteriorate in time. In this paper, a time-variant structural reliability analysis method for non-linear limit-state function is presented. In this method, the stochastic process in the limit-state function is first discretized. Each discretized limit-state function is linearized at the most probable point (MPP), and it is further simplified into a time-invariant reliability analysis problem which is then solved by using the traditional first order reliability method (FORM). Three numerical examples are analyzed to demonstrate the effectiveness of the present method.
- time-variant reliability /
- most probable point /
- linearization /
- first order reliability method (FORM)

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