Purpose

This study aims to propose an improved affine interval truncation algorithm to restrain interval extension for interval function.

Design/methodology/approach

To reduce the occurrence times of related variables in interval function, the processing method of interval operation sequence is proposed.

Findings

The interval variable is evenly divided into several subintervals based on correlation analysis of interval variables. The interval function value is modified by the interval truncation method to restrain larger estimation of interval operation results.

Originality/value

Through several uncertain displacement response engineering examples, the effectiveness and applicability of the proposed algorithm are verified by comparing with interval method and optimization algorithm.

中文翻译：

---

用于不确定机械系统响应分析的基于约束区间扩展的改进截断算法

目的

本研究旨在提出一种改进的仿射区间截断算法来抑制区间函数的区间扩展。

设计/方法/方法

为减少区间函数中相关变量的出现次数，提出区间运算序列的处理方法。

发现

根据区间变量的相关性分析，将区间变量平均划分为若干个子区间。通过区间截断法修改区间函数值，以抑制区间运算结果的较大估计。

原创性/价值

通过几个不确定位移响应工程实例，与区间法和优化算法进行对比，验证了所提算法的有效性和适用性。