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利用雷—菲法把非正态变量转换为当量正态变量,建立了在多个任意分布基本变量情况下的可靠性结构优化设计数学模型。该模型以极限状态设计方法为基础,采用机遇约束规划方法变换为一个等价确定性非线性规划问题。最后给出了设计价格最小的矩形截面钢筋混凝土柱的可靠性优化设计实例。
The Ray-Philips method is used to transform the non-normal variables into equivalent normal variables, and a mathematical model for reliability structural optimization design is established under the condition of multiple randomly distributed basic variables. Based on the limit state design method, the model is transformed into an equivalent deterministic nonlinear programming problem by using the opportunity-constrained programming method. Finally, an example of reliability optimization design of rectangular reinforced concrete columns with the lowest design price is given.