摘要
由于数据匮乏与性能退化,谐波减速器的可靠性呈现出显著的概率-区间不确定性混合与时变特征。针对这一问题,提出一种混合时变可靠性分析的单调函数法。首先,基于应力-强度干涉理论构建谐波减速器的混合时变可靠性模型;其次,通过分析可靠性模型动态响应关于时间变量的单调性,以消去时间变量的影响;进一步结合偏导数判断可靠性模型响应关于区间变量的单调性,将概率-区间混合可靠性转换为概率静态可靠性,然后利用蒙特卡罗法求解谐波减速器的可靠度。结果表明:所提方法有效降低了计算复杂性,并准确反映出谐波减速器可靠性的动态变化过程。
Due to limited data and performance degeneration,the reliability of harmonic gear drive involves probability-interval hybrid uncertainty and has distinct time-variant characteristic.In order to solve these problems more effectively,a monotonic function method(MFM)for hybrid time-variant reliability analysis is proposed.Firstly,hybrid time-variant reliability model of harmonic gear drive is built up with the stress-strength interference theory;secondly,the effect of time is eliminated by analyzing the monotonicity of reliability model dynamic response with respect to time variable;thirdly,the monotonicity of reliability model response about interval variable is judged by partial derivative,and the probability-interval hybrid reliability is transform into the probabilistic time-invariant reliability.Then,the reliability of harmonic gear drive is calculated by Monte Carlo method.Reliability analysis result for an engineering example shows that MFM reduces computational complexity effectively,and reflects reliability dynamic change process of harmonic gear drive accurately.
作者
谢曦鹏
冯嘉珍
李锴
杨剑锋
XIE Xipeng;FENG Jiazhen;LI Kai;YANG Jianfeng(The Department of Naval Equipment,Xi′an 710089,China;China Electronic Product Reliability and Environmental Testing Research Institute,Guangzhou,510610,China;3.National Joint Engineering Research Center of Reliability Test and Analysis for Electronic Information Products,Guangzhou,510610,China;Guangdong Provincial Research Center of Intelligent Robot Reliability,Guangzhou,510610,China)
出处
《机械科学与技术》
CSCD
北大核心
2021年第5期690-693,共4页
Mechanical Science and Technology for Aerospace Engineering
基金
工业装备环境可靠性设计与试验军民融合创新中心能力建设项目(2017KZ010107)
广东省省级科技计划项目应用型专项(2017B090914003)
广东省省级科技计划项目(2017B090903006)
广州市科技计划项目(201804010358)。
关键词
谐波减速器
可靠性
时变
混合
单调性
不确定性
harmonic gear drive
reliability
time-variant
hybrid
monotonicity
uncertainty
