论文部分内容阅读
发生函数法是多状态系统性能评估的重要工具.本文在结构系统强度可靠性分析中引入并发展发生函数法,分别构造描述强度(抗力)、应力(载荷)、安全裕度、疲劳寿命等概率分布的发生函数,定义各类发生函数之间的复合算子及相应的性能结构关系,实现静定、静不定结构系统静强度可靠性和结构系统疲劳强度可靠性的建模.在发生函数的复合运算中,通过同类项合并、近似项合并技术缩减计算量以提高效率.理论分析和数值算例表明:发生函数形式统一、表达简洁、宜编程、通用性强,适用于具有多层次结构的系统概率建模.新方法充分考虑了结构元件之间因孪生载荷而引发的失效相关性,可为存在多模式损伤耦合的土木工程结构、机械装备系统静、动强度可靠性分析提供理论参考及有效工具.
The generation function method is an important tool for multi-state system performance evaluation.In this paper, the generation function method is introduced and developed in the structural system reliability analysis to describe the probabilities of strength (stress), stress (load), safety margin, fatigue life Distribution function, the definition of the composition of the various types of occurrence function between the operator and the corresponding structure of the relationship between the performance of static and static structural system reliability of static strength and fatigue strength of the structural system reliability modeling. In the compound operation, the similar items are merged to reduce the amount of computation in order to increase the efficiency. The theoretical analysis and numerical examples show that the function forms are unified, the expressions are simple, the programming is simple, the generality is strong, and the method is suitable for multilevel structures System Probability Modeling The new method takes full account of the failure correlation between structural elements due to twin loads and provides theoretical reference for the reliability analysis of static and dynamic strength of civil engineering structures and mechanical equipment systems with multi-modal damage coupling Effective tool.