平面轨迹机构时变可靠性分析的联合概率方法

doi:10.3901/JME.2017.15.119

机械工程学报 ›› 2017, Vol. 53 ›› Issue (15): 119-124.doi: 10.3901/JME.2017.15.119

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平面轨迹机构时变可靠性分析的联合概率方法

陈放, 李欣玲, 佘霞, 龙宇, 张均富

西华大学机械工程学院成都 610039

收稿日期:2016-09-27 修回日期:2017-04-24 出版日期:2017-08-05 发布日期:2017-08-05
通讯作者: 张均富(通信作者),男,1972年出生,博士,教授,硕士研究生导师。主要研究方向为概率工程设计,机器人机构学。E-mail:zhang_junfu@126.com
作者简介:陈放,男,1991年出生。主要研究方向为概率工程设计。E-mail:chen_founder@163.com
基金资助:
国家自然科学基金资助项目（51275425）、流体及动力机械教育部重点实验室研究基金（西华大学）（JYBFX-YQ-1）、四川省科技厅项目（2017TD0023）和四川省教育厅项目（15TD0016，12ZZ008）资助项目。

Joint Probability Method to Time-dependent Reliability for Planar Path Mechanisms

CHEN Fang, LI Xinling, SHE Xia, LONG Yu, ZHANG Junfu

School of Mechanical Engineering, Xihua University, Chengdu 610039

Received:2016-09-27 Revised:2017-04-24 Online:2017-08-05 Published:2017-08-05

摘要/Abstract

摘要： 机构运动时变可靠度用以度量机构在指定运动区间上的满足运动要求的概率，该类可靠度反映了机构运动的总体效应，其实质为机构系统可靠度。现有针对函数生成机构提出的运动时变可靠性分析方法不适用于轨迹机构的可靠性分析。为此，提出一种基于联合概率的轨迹机构运动时变可靠性分析方法。对于轨迹型机构，在任一坐标分量上的运动误差超过允许误差就意味着机构运动失效，因此可认为平面轨迹机构包括两种失效模式。基于此，将平面轨迹机构的系统可靠性处理为由各失效模式组成的串联系统可靠性，同时每个坐标分量也处理为N个轨迹离散点构成的串联系统，进而采用多维正态分布函数实现轨迹机构的运动可靠度求解，最后给出两个平面轨迹机构验证方法的有效性。

关键词: 联合概率, 平面轨迹机构, 时变可靠性

Abstract: Time-dependent reliability method for mechanisms is used to predict the probability of satisfying the motion requirement in a predefined period of time. Since the kinematic time-dependent reliability embodies the overall motion situation of mechanisms, the nature of kinematic time-dependent reliability is a system reliability of mechanisms. The current time dependent kinematic reliability methodologies are mainly for function generating mechanisms and are unsuited to solve the reliability of path mechanisms. An innovative method based joint probability for reliability of path mechanisms is proposed. For path mechanisms, a failure occurs if the error in any direction of the path exceeds the allowable tolerance. There are then two failure modes for planar path mechanisms. The overall kinematic reliability is treated as the reliability of a series system consisting of failure modes in all directions, and each motion output component is also taken as a series system consisting of path discrete points. The time-dependent mechanism reliability is then estimated by the multivariable normal distribution function. The proposed method is evaluated and demonstrated by two planar four-bar path generating mechanisms.

Key words: joint probability, planar path mechanisms, time-dependent reliability

中图分类号:

TH112

陈放, 李欣玲, 佘霞, 龙宇, 张均富. 平面轨迹机构时变可靠性分析的联合概率方法[J]. 机械工程学报, 2017, 53(15): 119-124.

CHEN Fang, LI Xinling, SHE Xia, LONG Yu, ZHANG Junfu. Joint Probability Method to Time-dependent Reliability for Planar Path Mechanisms[J]. Journal of Mechanical Engineering, 2017, 53(15): 119-124.

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平面轨迹机构时变可靠性分析的联合概率方法

Joint Probability Method to Time-dependent Reliability for Planar Path Mechanisms

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