一种基于Hertz非线性的法向接触力模型  

A Normal Contact Force Model based on Hertz Nonlinearity

作　　者：王文杰 周围 何兴云 张海东 果云飞 聂松辉[3] WANG Wenjie;ZHOU Wei;HE Xingyun;ZHANG Haidong;GUO Yunfei;NIE Songhui(Jianglu Electromechanical Group Co.,Ltd.,Xiangtan 411100,China;Military Office in Xiangtan Area,Xiangtan 411100,China;School of Mechanical Engineering,Xiangtan University,Xiangtan 411105,China)

机构地区：[1]江麓机电集团有限公司,湖南湘潭411100 [2]驻湘潭地区军代室,湖南湘潭411100 [3]湘潭大学机械工程学院,湖南湘潭411105

出　　处：《新技术新工艺》2024年第6期48-53,共6页New Technology & New Process

摘　　要：基于Hertz理论建立非线性动力学方程,并结合能量法,推导了两球接触过程中最大变形量的表达式,获得了新的粘滞阻尼因子,提出一种改进的法向接触力模型。并针对该模型与几种常见的同类型法向接触力模型,实例分析了相对速度与变形量随时间的变化关系,以及相同实例下不同恢复系数下法向接触力、相对速度与变形量之间的关系,获得了各模型输入与计算的恢复系数的变化关系,结果表明:改进的法向接触力模型在保证正确性的前提下,具有足够的精度与适用范围。Based on the Hertz theory,the nonlinear dynamic equations were established.Combined with the energy method,the expression of the maximum deformation during the two-ball contact process was derived.A new viscous damping factor was obtained and an improved normal contact force model was proposed.For the model and several common normal contact force models of the same type,the relationship between relative velocity and deformation with time was analyzed,and it was analyzed that the relationship of normal contact force,relative velocity and deformation under different recovery coefficients under the same example.The relationship between the input and the calculated recovery coefficient was obtained.The results showed that the improved normal contact force model had sufficient accuracy and scope under the premise of ensuring correctness.

关 键 词：HERTZ 接触力 阻尼因子 恢复系数 非线性 恢复系数 

分 类 号：TH112[机械工程—机械设计及理论]