To provide a programmed idea to effectively solve the problem that complex non - probabilistic reliability index cannot specifically presents by limit state equation, we put forward the non - probabilistic response surface method, combining the traditional response surface method with improved one - dimensional optimization method. To verify the effectiveness of the proposed method, based on the cantilever beam, we compared the results using the method proposed and the existing method, we found that the calculated results have a good accuracy and in accordance with the experimental results using analytic methods. Besides, the proposed method is the extension of traditional response surface method, thus it is easier to be accepted and no need of special mathematical treatment.%为了解决极限状态不能明确表达的复杂结构非概率可靠性指标的求解,将传统的响应面法和改进一维优化算法相结合,提出非概率相应面法,并给出了程序化思路.为了验证所提方法的有效性,以一悬臂梁为算例,将非概率相应面法的计算结果与传统响应面法及解析方法的结果进行对比,验证了本文的计算方法精度较高,与解析法计算的结果一致,不需特殊的数学处理,是传统响应面法的扩展,更易接受.
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