Performance-Optimized Reliability Analysis of Structural Systems

其目的是开发实用的程序，从而可以将极限状态后果的表征结合到可靠性约束结构系统优化的分析中。多目标数学规划将被用来识别多个独立变化的载荷的极限状态面。识别极限表面每个区域的后果，而不是简单地识别传统的“失败”或“成功”，将允许研究性能/可靠性的权衡。对于荷载和弯矩都具有随机性的延性框架，线性规划可以有效地产生失效模式特征。在这种情况下，可以将离散的载荷空间区域与单独的失效模式相关联，并评估每种模式的结构损伤程度。蒙特卡罗方向模拟与数学规划，特别是线性规划相结合的有效方法，将被用来实现对结构系统可靠性的全面评估。本项目中开发的程序将通过将结构系统的设计作为一个整体来考虑，从而提高结构的安全性和经济性。结构工程师现在可以使用强大的数学技术来优化整个结构，同时考虑到性能的可靠性和限制状态后果。

The objective is to develop practical procedures whereby characterization of limit state consequences can be incorporated into an analysis for reliability-constrained structural system optimization. Multiobjective mathematical programming will be used to identify the limit state surface for multiple, independently varying loads. The identification of consequence for each region of the limit surface, rather than simply the traditional "failure" or "success," will permit the performance/reliability tradeoff to be studied. For a ductile frame with randomness in both loads and moment capacities, a linear program efficiently produces failure mode characteristics. For this case, it is possible to associate discrete load space regions with individual failure modes, and to assess the extent of structural distress for each mode. Efficient methods of combining Monte Carlo directional simulation with mathematical programming, and especially linear programming, will be utilized to permit a comprehensive assessment of structural system reliability. The procedures developed in this project will permit improved safety and economy of structures by considering design of the structural system as an entire entity. Powerful mathematical techniques now accessible to structural engineers can be used to optimize the structure as a whole, taking into account the reliability of performance and limit state consequences.