动态结构系统可靠性的频率灵敏度分析

基于频率可靠性理论提出了动态结构系统的频率可靠性灵敏度的计算方法. 根据动态结构系统的固有频率与激振频率差的绝对值不超过规定值的关系准则，定义了随机结构振动问题的可靠性模式和系统的可靠度，进而提出了频率可靠性灵敏度分析方法，应用随机摄动技术、可靠性理论和灵敏度方法，推导出参数为正态随机变量时的准失效概率灵敏度的表达公式，对动态结构系统共振问题的可靠性灵敏度分析方法进行了探索. 并在此基础上，以一简化的车身-车轮-路面关系的系统模型为例，由可靠性灵敏度矩阵可以看出，各随机参数的变化对动态结构系统的可靠性及失效性的影响程度也不同，其计算结果与通常的定性分析结果完全一致，验证了所提方法的有效性. 该方法为动态结构系统的优化和设计提供了依据. 

FREQUENCY SENSITIVITY ANALYSIS FOR DYNAMIC STRUCTURAL SYSTEMS RELIABILITY

A method of frequency reliability sensitivity for dynamic structural systems is presented in the paper based on the frequency reliability theory. With the criterion that the difference in value between the natural frequency and driving frequency is controlled, the reliability mode and the safety probability of the random systems are then defined as series mode to perform the frequency reliability sensitivity analysis. A case of resonant problem in the dynamic structural systems is carried out by using the random perturbation technique, the reliability theory and sensitivity approach. Numerical results have demonstrated that the proposed method is efficient and accurate. This scheme is helpful for the design and optimization of dynamic structural systems.