线性连续系统的动态与渐变耦合可靠性分析.pdf

w. KLIPLULL,cun
第48卷第2期
机槭工程学报
Vo1,48No,2
2012年1月
JOURNAL OF MECHANICAL ENGINEERING
2012
DOI:10.3901/JME.2012.02.023
线性连续系统的动态与漸变耦合可靠性分析
李常有张义民1王跃武2
(1.东北大学机械工程与自动化学院沈阳110004;
2.沈阳机床(集团)有限责任公司沈阳11041)
摘要:机械设备的零部件通常承載着动态載荷,且由于制造的不确定性致使几何元素的尺寸、形状以及相互位置具有随机性,
同时多于80%的零部件都是由于某些量的劣化导致渐变失效,因此,开展动态与渐变耦合可靠性研究对于机械行业的发展具
有极为重要的意义。研究随机参数线性连续系统遭受强度劣化和承受动态載荷时的可靠性问题。根据线性连续系统的随机动
力学理论获得随机响应的计算公式,由此建立随机交变应力的计算模型。采用一随机变量描述初始强度的不确定性,利用非
平稳 Gamma过程描述强度劣化量的演变过程。在此基础上构建线性连续系统的动态与渐变耦合状态函数和可靠度表达式。
应用提出的方法分析轴扭转振动系统的动态与渐变耦合可靠性,将当量正态化法和设讨验算点法相结合以估算动态与渐变耦
合可靠度,采用中心差分方法分析该可靠度的敏感性。利用数值实例验证提出方法的实用性和有效性。结果表明,提出的动
态与渐变耦合可靠性分析方法能够有效解决随机参数线性连续系统遭受强度劣化和承受动态载荷时的可靠性分析问题
关键词:动态可靠性渐变可靠性强度劣化连续系统
中图分类号:1mH122
Dynamic and Gradual Coupling Reliability Analysis of Linear and
Continuous System
LI Changyou ZHANG Yimin WANG Yuewu
(1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004
2. Shenyang Machine Tool(Group)Co., Ltd, Shenyang 110041
Abstract: It is very impor ant for the development of machinery industry to investigate the dynamic and gradual coupling reliability. This
reason is that the part of mechanical equipment bears a dynamic load generally, has the random size, form and relative position of ts
metrical elemen due o he stochastic ty of manufuring press and more an 80% of the parts are subjected to gradual
failure because of the deterioration of some parameters The eliability problem of the linear and continuous system which bears dynamic
load, is subjected to gradual failure due to strength deterioration and has several random parameters would be studied in this paper
According to the random dynamics theory of the linear and continuous system, the stochastic response is formulated and the stochastic
altemating stress model is gien. The ne anty of the oral strenth and e uion process of the strength deterioration are
described by a random variable and a non-saiona Gamma process respective Then the dynamic and radal coupling state function
and reliability of the linear and continuous system are modeled. The proposed reliability analysis method is employed to analyze the
dynam and aual coupl aii f e shaft onal ation s stem. The equivalent nomalization and design checkin point
method are join o tim e dynamic and al lin r liy a the ral difference method is used to analyze the
reliability t T a and f m a mnsa y a numercal example. The results show that
the presented dynam and gradual coupling liability analysis method could solve the reliability problem oft the linear and continuous
system which bears dynamic load, is subjected to gradual failure due to strength deterioration and has several random parameters
Key words: Dynamic reliability Gradual reliability Strength deterioration Continuous system
“高档数控机床与基础制造装备”科技重大专项课题(20102ZX04014
014)、国家自然科学基金(51005041)和中央高校基本科研业务费专项资
金N09030300)资助项目。201310收到初稿,20110925收到修改稿