概率密度演化方法在机构运动精度可靠性中的应用研究
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摘要
以工程中实际应用的某压力机平面多连杆机构为例,分析了其运动方程,得到了其运动精度可靠性分析的功能随机过程。采用极值变换理论,构造了机构运动精度极值概率演化的虚拟随机过程。利用概率密度演化方法求解得到了响应极值的概率密度函数,概率密度演化方法可直观地反映机构运动精度响应量与输入随机变量的概率演变、转化关系,并可方便地求解出机构运动精度可靠度。最后,结合计算结果分析了概率密度演化方法在机构运动精度可靠性分析中应用的优越性和可能存在的问题。
A planar multi-linkage mechanism of a compressive machine is taken as an example for studying the reliability of mechanism kinematic accuracy.Its motion functions are analyzed;its performance random processes of the kinematic accuracy reliability are obtained.Employing the extreme value transformation theory,virtual random processes are constructed for obtaining the probability density function of the extreme values by the probability density evolution method.The probability density function evolution of the extreme values can objectively reveal the evolution and the transformation relation between the kinematic accuracy responses and the input random variables of the mechanism.Based on the probability density functions of the extreme values,the mechanism kinematic accuracy reliability can be computed.Finally,the calculation results are used to analyze the advantages and possible difficulty of the probability density evolution application in the reliability analysis of the mechanism kenemaitc accuracy.
A planar multi-linkage mechanism of a compressive machine is taken as an example for studying the reliability of mechanism kinematic accuracy.Its motion functions are analyzed;its performance random processes of the kinematic accuracy reliability are obtained.Employing the extreme value transformation theory,virtual random processes are constructed for obtaining the probability density function of the extreme values by the probability density evolution method.The probability density function evolution of the extreme values can objectively reveal the evolution and the transformation relation between the kinematic accuracy responses and the input random variables of the mechanism.Based on the probability density functions of the extreme values,the mechanism kinematic accuracy reliability can be computed.Finally,the calculation results are used to analyze the advantages and possible difficulty of the probability density evolution application in the reliability analysis of the mechanism kenemaitc accuracy.
引文
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[2]孙志礼,李良巧.实用机械可靠性设计理论与方法[M].北京:科学出版社,2003
[3]张义民,黄贤振,贺向东等.任意分布参数平面连杆机构运动精度可靠性灵敏度设计[J].机械科学与技术,2008,27(5)
[4]Choi D H,Yoo H H.Reliability analysis of a robot manipulatoroperation employing single Monte-Carlo simulation[J].Key En-gineering Matertials,2006,321~323(pt2):1568~1571
[5]于霖冲,白广枕,焦俊婷等.柔机构变形动态响应可靠性分析方法[J].宇航学报,2006,20(5):1039~1043
[6]吕震宙,岳珠峰,张文博.弹性连杆机构广义刚度可靠性分析的数值模拟法[J].计算力学学报,2004,21(1):62~66
[7]朱位秋.随机振动[M].北京:科学出版社,1998
[8]李杰.随机动力系统的物理逼近[J].中国科技论文在线,2006,1(2):95~104
[9]Chen J B,Li J.A note on the principle of preservation of proba-bility and probability density evolution equation[J].Probabilis-tic Engineering Mechanics,2009,24(1):51~59
[10]陈建兵,李杰.随机结构动力可靠度分析的极值概率密度方法[J].地震工程与工程振动,2004,24(6):39~44
[11]何水清,王善.结构可靠性分析与设计[M].北京:国防工业出版社,1993
[12]梁春棠,杨超云.双动压气机多连杆机构优化设计[J].陕西机械学院学报,1986,(3):13~21
[13]Li J,et al.The equivalent extreme-value event and evaluation of thestructural system reliability[J].Structural safety,2007,29(2)
[14]刘儒勋,舒其望.计算流体力学的若干新方法[M].北京:科学出版社,2003
[15]陈建兵,李杰.结构随机响应概率密度演化分析的数论选点法[J].力学学报,2006,38(1):134~140
[16]华罗庚等.数论在近似分析中的应用[M].科学出版社,1978
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