随机动态结构系统的频率可靠性灵敏度与稳健设计研究

项目名称： 随机动态结构系统的频率可靠性灵敏度与稳健设计研究

项目编号： No.51305071

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 机械、仪表工业

项目作者： 吕春梅

作者单位： 东北大学

项目金额： 26万元

中文摘要： 可靠性是衡量产品性能的一个重要指标，相比于静态随机结构系统，随机动态结构系统的失效问题分析具有相当难度，其可靠性研究也还处于初级阶段。本项目将机械动力学、随机有限元法、可靠性理论等相结合，针对工程实际中常见的随机动态结构系统失效模式相关以及随机参数概率信息缺失两种情况做较深入的研究，提出了系统避免共振的频率可靠性分析方法；在频率可靠性研究的基础上，提出了随机动态结构系统的频率可靠性灵敏度分析方法，获取可靠度与随机变量分布参数波动间的量化关系，研究设计参数的改变对系统可靠性的影响；并在频率可靠性和灵敏度研究的基础上，综合运用稳健和优化设计方法，提出了随机动态结构系统的频率可靠性稳健设计方法，确保系统在经受各种不确定因素的干扰下，仍保持较高的可靠稳定性；同时将理论方法与工程实践相结合，为随机动态结构系统的设计、制造、使用和评估提供合理和必要的理论依据。

中文关键词： 频率可靠性；灵敏度；稳健；相关失效；概率信息缺失

英文摘要： The reliability is one of the most important indexes for product performance, the reliability research on the random dynamic structural system has seldom been put forward as it is more complicated than the reliability problems on the random static structural system, so the further research is necessary. According to the common cases of the dependent failure modes and incomplete probability information of the random dynamic structural system, the frequency reliability method of avoiding resonance is proposed by the mechanical dynamics, stochastic finite element method, the reliability theory in the project. Furthermore, the frequency reliability sensitivity method is presented based on the frequency reliability research, which provides a preliminary efficient way to analyze how each random parameter contributes to the system reliability. And the frequency reliability-based robust method of the random dynamic structural system is obtained by the robust and the optimization technology on the basis of frequency reliability and sensitivity design, which help designers to establish acceptable parameter values and to determine the fluctuations of the parameters for the safe operations. Furthermore, the theoretical methods are applied to the engineering practice, which can provide the reasonable and necessary basis for

英文关键词： frequency reliability；sensitivity；robust；dependent failure；incomplete probability information