Dynamic Modeling And Experimental Verification Of Double Linear Guide Bearing Platform Considering Straightness Tolerance

Linear rolling guide rail is widely used in various production and processing systems with the advantages of high operation accuracy,small friction coefficient and long service life.The dynamic model of double linear guide rail bearing platform considering straightness error is missing,resulting in insufficient theoretical basis for the selection of sliding block and too conservative selection.To solve this problem,the straightness error of the guide rail is simulated by Monte Carlo method.Considering the ball deformation caused by the straightness error,combined with Hertz contact theory,the dynamic load in the non-moving direction of the double linear guide rail platform is solved;Considering the non-degree of freedom motion of the double linear guide bearing platform,the sliding blocks are equivalent to horizontal and vertical springs,and the dynamic model of the double linear guide bearing platform is established based on Lagrange method.The Duhamel integral is used to solve the dynamic response expression in the non-motion direction,and the dynamic response of the double linear bearing guide rail platform is solved and verified by experiments in combination with the composite trapezoidal formula.The main contents are as follows:(1)Stiffness modeling of linear rolling guide.Based on Hertz contact theory,according to the relationship between deformation and force of linear rolling guide,the normal and tangential stiffness models of linear rolling guide are established.Taking a certain type of linear rolling guide as an example,the normal and tangential stiffness of linear rolling guide under different preloads and external loads are solved;(2)Dynamic load solution of double linear guide bearing platform.The straightness error of the curvature center of the raceway is simulated based on Monte Carlo method,and the relationship between straightness error and ball deformation is established;The dynamic expression of the guide rail is derived by considering the non-linear motion of the guide rail and the influence of the non-linear motion direction of the guide rail;(3)Dynamic modeling of double linear guide bearing platform.The sliding blocks in the double linear guide bearing platform are equivalent to horizontal and vertical springs.The dynamic model of the double linear guide bearing platform is established based on Lagrange method,and the dynamic response expression of the double linear guide bearing platform under dynamic load caused by straightness error is solved by Duhamel integral;(4)Dynamic model test verification of double linear guide bearing platform.The dynamic response of the double linear guide bearing platform in the non moving direction is solved in MATLAB combined with the complex trapezoidal formula,and the numerical simulation analysis is carried out by using the vibration module in ADAMS.Finally,the dynamic response test of the double linear guide bearing platform is carried out,and the three results are compared.