Structural System Reliability and Optimization--Incorporat- ing Nonlinear Mechanics in Mathematical Programming Approaches

该项目利用非线性规划公式，将广义可靠指标定义为外功与内应变能之差。为了引入材料的线性和非线性行为，研究了非线性应变能公式。扩展的约束集被开发为与与非线性优化目标相关联的更广义的失效机制相一致。还采用了基于静态公式的另一种方法，消除了对模式定义的需要。最后，通过逐步搜索中失效事件的并集，寻求失效概率与系统可靠性的结合。

The project uses the nonlinear programming formulation to define a generalized reliability index as the difference between external work and internal strain energy. The nonlinear strain energy formulations are investigated in order to introduce both linear and nonlinear material behavior. Expanded constraint sets are developed to be consistent with the more generalized mechanisms of failure associated with the nonlinear optimization objective. An alternative approach based on the static formulation is also followed, obviating the need for modal definitions. Finally, the combination of failure probabilities into system reliability is pursued in terms of the union of failure events in a stepwise search.