摘要
法向接触刚度是影响接触体动力学性能的重要参数。法向接触刚度的计算主要有传统方法的Hertz接触理论和现代微观理论的法向接触刚度分形模型两种方法。为了准确地计算两圆柱体结合面的法向接触刚度,在前期研究成果的基础上,将法向接触刚度分形模型进行合理的扩充,建立两圆柱体结合面的法向接触刚度模型,该模型能正确地反映分形维数、表面粗糙度幅值、材料特性参数和圆柱体半径等参数对法向接触刚度的影响。由模型的仿真结果表明,随着分形维数、材料的特性参数、圆柱体半径的增加,表面粗糙度幅值参数的减小,法向接触刚度增加。另外,两圆柱内接触的法向刚度大于外接触时的法向接触刚度。该模型的建立为后续进行齿轮或圆柱轴承的法向接触刚度计算奠定了基础,对接触动力学研究有了新的理论补充。
Normal contact stiffness is an important parameter affecting the dynamics performance of contact bodies.There are two main ways of calculating the normal contact stiffness：one is the traditional Hertz contact theory,and the other is modern microeconomic theory through setting up the fractal model.To accurately calculate normal contact stiffness between two cylinders＇ joint interfaces,the fractal model of normal contact stiffness between two cylinders＇ joint interfaces is established based on the reasonable expansion of the existing fractal model and the early stage of research results.This model can correctly reflect the conclusion influenced by the parameters of fractal dimension,roughness amplitude,material properties parameters,and the cylinder radius.Simulation results show that：as the parameters of fractal dimension,material properties parameters and the radius of the cylinders increase and the parameters of roughness decreases,the normal contact stiffness adds.What＇s more,the stiffness of inner contact is larger than that of outer contact.The establishment of the model lays the foundation for the following calculation of the normal contact stiffness of gears or cylindrical bearings and gives a new theory supplement to the contact dynamics research.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2011年第7期53-58,共6页
Journal of Mechanical Engineering
基金
国家科技支撑计划('十一五'科技计划
2009BAG12B03)
安徽省优秀青年人才基金(2011SQRL010)
合肥工业大学科学研究发展基金(2010HGXJ0137)资助项目
关键词
圆柱体
法向接触刚度
分形理论
接触模型
Cylinder Normal contact stiffness Fractal theory Contact model
