Abstract: To solve the interval expansion problem caused by interval algorithm in non-probabilistic reliability analysis,a response surface analysis method based on interval affine transformation was proposed.According to the mapping relationship between interval parameter and affine form,the interval affine response surface was constructed to suppress the interval expansion.To obtain a more accurate response interval,the update and solution mechanism for models was established through the interval boundary segmentation and combination,which could modify the output response layer by layer,and the non-probabilistic reliability index was solved by interval affine response surface.The numerical and engineering cases were used to demonstrate the feasibility and validity of the method proposed.

Key words: mechanical product, non-probabilistic reliability, interval expansion, affine transformation, interval segmentation

摘要： 为抑制非概率可靠性分析过程中区间算法引发的区间扩张问题,提出一种基于区间仿射变换的响应面分析方法。依据区间参数与仿射形式的映射关系,构建区间仿射响应面,抑制区间扩张;为获得更为精确的响应区间,通过区间边界的分割组合建立模型更新及求解机制,对输出响应进行逐层修正,并利用区间仿射响应面求解非概率可靠性指标。通过数值和工程案例,对方法的可行性与有效性进行了验证。

关键词: 机械产品, 非概率可靠性, 区间扩张, 仿射变换, 区间分割