Application of Mathematical Programming Concepts to Structural System Reliability

该研究旨在探索、调整和展示 结构系统数学规划技术 可靠性评估-涉及运动学模型搜索技术， 广义多参数加载，基本方法的扩展， 多面体超曲面的特征。 该项目利用结构分析和 计算结构系统可靠度的数学规划。 主要考虑塑性破坏的延性框架 机制，允许广泛使用线性规划技术。 结构极限分析的运动学方法已被证明 以前是在线性编程格式表示，一个功能 用于识别临界失效模式。 这 研究通过应用强大的 数学规划技术对系统可靠性的影响， 综合系统安全。 原始/对偶线性规划的类比是 应用于分析结构系统的静态，或运动 对偶方法 多目标规划也研究了 广义多参数加载 该研究为结构可靠性分析开辟了一个新的方向 选择性大的结构系统。 它可以提供一个实用的工具 复杂结构的概率分析， 基于概率的设计标准。 工作的结果将是重要的所有分支机构的结构 设计包括建筑物、桥梁、海上平台、反应堆和 船舶

The research is to explore, adapt, and demonstrate the use of mathematical programming techniques for structural system reliability assessment - involving kinematic model search techniques, generalized multiparameter loading, extensions of basic approach, and characterization of polyhedral hypersurfaces. This project utilizes the analogy between structural analysis and mathematical programming in computing structural system reliability. Primary consideration is given to ductile frames with plastic collapse mechanisms, allowing extensive use of linear programming techniques. The kinematic approach to structural limit analysis has been shown previously to be expressible in a linear programming format, a feature that has been ueed for identifying the critical mode of failure. This research extends these concepts through the application of powerful mathematical programming techniques to the system reliabilities, and the combined system safety. The primal/dual linear programming analogy is applied to analyze structural systems by the static, or kinematic duality approach. Multiobjective programming is also investigated for generalized multiparameter loading. This research opens a new direction in the reliability analysis of seletively large structural systems. It can provide a practical tool for the probabilistic analysis of complex structures and the development of probability-based design criteria. Results of the work will be of importance in all branches of structural design includig buildings, bridges, offshore platforms, reactors and ships.