两端任意支承的矩形截面钢筋混凝土梁可靠性优化设计

Structural Optimization Design of a Rectangle Section Reinforced Concrete Beam on any Type Supportions Based on Reliability

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［１］。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梁的可靠性优化设计实例。

In this paper, the author changes the abnormal distribution variables into the normal distribution variables by using Rackwits Fiessler method, and obtains the model of the structural optimization design based on reliability standard, which has many abnormal distribution basic variables. This model is based on the limit state design philosophy. This paper adopts the chance constraint programming method and changes the model into a equal deterministic nonlinear design problem. At last, an example of reliability optimization design of the reinforced concrete beam with the minimum cost is given.