聊城大学学报（自然科学版）2025，Vol.38Issue(5)：654-662,678,10.DOI:10.19728/j.issn1672-6634.2025010014
两类不确定单摆系统的确信可靠性分析
Belief reliability analysis of the complex uncertain single pendulum system
摘要
Abstract
Belief reliability theory has proven to be an effective tool for analyzing the reliability of systems with small sample data.This paper investigates uncertain pendulum systems and introduces two belief reliability metrics:belief reliability function and belief reliability lifetime.Two models are studied:the logarithmic utility uncertain time-varying pendulum model and the linear time-shift uncertain time-varying pendulum model.Firstly,based on the logarithmic utility function,the logarithmic utility uncertain time-varying pendulum model is constructed,and an analytical expression for its belief reliability function is derived.The computational formulas and numerical algorithms for the belief reliability lifetime are also provided.Second,the noise in the pendulum system is modeled as linear time-shift noise,and the linear time-shift uncertain time-varying pendulum model is proposed.The computational formula for its certainty reliability function is derived,and a numerical solution method is introduced.Numerical examples demon-strate that these two certainty reliability metrics effectively measure the reliability of uncertain pendulum systems.This study provides new theoretical foundations and computational tools for reliability analysis of uncertain systems with small sample data.关键词
不确定微分方程/确信可靠性/不确定单摆方程/不确定逆分布函数Key words
uncertain differential equation/belief reliability/uncertain single pendulum equation/inverse uncertainty distribution分类
数理科学引用本文复制引用
赵云鹏,刘利英..两类不确定单摆系统的确信可靠性分析[J].聊城大学学报（自然科学版）,2025,38(5):654-662,678,10.基金项目
山东省自然科学基金项目(ZR2020MA026)资助 （ZR2020MA026）
