随机参数高速电梯轿厢系统共振可靠性灵敏度研究

第一作者张瑞军男，教授，1965年3月生

随机参数高速电梯轿厢系统共振可靠性灵敏度研究

张瑞军1,2，司鑫鑫1，杨围围1，董明晓1,2

(1.山东建筑大学，济南250101； 2. 山东建筑大学山东省高校机械工程创新技术重点实验室，济南250101)

摘要：针对高速电梯轿厢系统制造安装过程中误差使系统设计参数具有随机性问题，以实现轿厢系统共振可靠性灵敏度分析为目标，基于摄动技术导出轿厢系统固有频率与随机参数间关系式，分析参数随机性对固有频率影响；据振动稳定性准则构建基于激振频率变化的高速电梯轿厢系统共振失效功能函数，采用灵敏度技术导出轿厢系统共振可靠性灵敏度表达式，并进行灵敏度分析。结果表明，考虑参数随机性时轿厢系统固有频率存在分散性；取相同变异系数时导靴系统刚度及导轮安装位置对轿厢系统共振可靠性影响较大。该结果可为高速电梯轿厢系统防共振设计、安全评估提供参考。

关键词：高度电梯；轿厢系统；随机参数；共振；可靠性；灵敏度

收稿日期：2014-01-08修改稿收到日期：2014-03-27

中图分类号:TH113文献标志码：A

基金项目：教育部“新世纪优秀人才支持计划”资助；国防科技重点实验室

Resonance reliability sensitivity for a high-speeding elevator cabin system with random parameters

ZHANGRui-jun1,2,SIXin-xin1,YANGWei-wei1,DONGMing-xiao1,2(1.Shandong Jianzhu University, Jinan 250101,China；2. Key of Mechanical Engineering & Innovation Technology in Universities of Shandong,Shandong Jianzhu University, Jinan 250101, China)

Abstract:The errors in the process of manufacture and installation for a high-speed elevator cabin system made design parameters of the system posses randomness. To realize the analysis of resonance reliability sensitivity for the high-speed elevator cabin system, the relationship expressions between the natural frequencies of the system and the random parameters were derived with the perturbation technique to analyze the influence of the parametric randomness on the natural frequencies. According to the stability criterion of vibration for mechanical systems, the performance function of the resonance failure based on the variation of the exciting frequency for the system was built. Utilizing the sensitivity technique, the expressions of the resonance reliability sensitivity of the system were deduced to analyze the sensitivity. The results showed that the natural frequencies of the system have dispersibility considering the parametric randomness; the guide shoe stiffness and guide wheel mounting position have greater effects on the resonance reliability of the system with the same exciting frequency variation coefficient. The results provided a reference for anti-resonance design and safety assessment of high-speed elevator cabin systems.

Key words:high-speed elevator; cabin system; random parameters; resonance; reliability; sensitivity

随着现代城市中高层、超高层建筑物兴起，电梯亦向高速度方向发展。电梯轿厢系统高速运行时会产生剧烈振动影响其安全性，如何保证该系统振动时具有足够的可靠性颇受关注。近年来已有众多围绕电梯轿厢系统的深入研究[1-3]。梅德庆等[4]考虑滚动导靴的不圆度偏差及导轨廓形偏差，拟合出导靴-导轨不平顺激励的数学模型，并建立高速曳引电梯系统动力学方程。……