齿轮啮合结合部动力学建模及试验验证.pdfVIP

2015年 6月 第43卷 第 11期 机床与液压 MACHINE TOOL HYDRAULICS Jun．2015 Vo1．43 No．11 DOI：10．3969／j．issn．1001—3881．2015．011．034 齿轮啮合结合部动力学建模及试验验证 毛宽民 ，李江艳 ，詹耿 ，寸花英 (1．华中科技大学机械科学与工程学院，湖北武汉430074； 2．沈机集团昆明机床股份有限公司，云南昆明650000) 摘要：针对齿轮传动系统因含有轴承结合部与齿轮啮合结合部而难以精确建立动力学模型的问题，提出了这两个结合 部在直齿轮传动系统整体建模时的简化建模方法。根据提出的结合部建模方法以及实体建模的有限元法，对一个特定的齿 轮 箱建立了完整的动力学模型；通过参数识别和理论计算，分别求解得两结合部的刚度和阻尼系数，并利用有限元法求解 得到齿轮箱的各阶模态；对齿轮箱进行模态试验与分析 ，得到其试验模态，并与试验结果进行对比。结果表明：理论模型 计算的固有频率误差最大只有6％，振型也较好地吻合，说明了该方法的齿轮传动系统动力学模型的正确性。 关键词：齿轮传动；结合部；动力学模型；有限元法；模态试验；模态分析 中图分类号：TH132．41 文献标志码：A 文章编号：1001—3881(2015)11—123—7 Dynamic Modeling and Experimental Verifcation of Gear Mesh Joint MAO Kuanmin ，LI Jiangyan ，ZHAN Geng ，CUN Huaying (1．School of Mechanical Science and Engineefing，Huazhong University of Science and Technology，Wuhan Hubei 430074，China； 2．Kunming Machine Tool Co．，Ltd．，Shenyang Machine Tool Group，Kunming Yunnan 650000，China) Abstract：Aimed at the problem of very hard to build a precise dynamic model since there are many joints of bearings and gear mesh in gear transmission system，the simplifcation method for each joint of bearing joint and gear mesh joint of the system in overal modeling was proposed．Based on the simplification method and entity modeling by finite element method(FEM)，an integrated dy- namic model of the gearbox designed was built．Through the parameter identification and theoretic analysis，the stiffness and damping parameters of the two joints were calculated respectively，and the FEM was conducted to solve each stage of modal of the gearbox．The test modal was obtained by carrying out modal test and analysis to the gearbox，and was compared with test results．The results show that as the natural frequency error between the theoretical model calculation and experimental results is only 6％ ．and the modal shapes are agreed quite wel，which shows the validity of the dynamic model of gear transmission system by this method． Keywords：Gear transmission；Joint；Dynamic model；Finite element method；Modal test；M