Study Of Continuous Type Contact Force Models For Low Speed Collisions

Contact collision often occurs in mechanical systems and can have an impact on the reliability,accuracy,and working life of the system.Accurate modeling of collision processes is crucial in many engineering and technical fields.The continuous contact force model is an important method for describing collision problems,and various models have been developed for different conditions to date.This article conducts relevant research on contact collision issues,mainly completing the following tasks:Firstly,the modeling principles and ideas of the continuous contact force model were analyzed,and the development process of the continuous model starting from the Hertz model was introduced.Common contact force models were compared and analyzed,and existing models were summarized.The contact force expression of the continuous model has strong nonlinearity,which brings certain difficulties to the construction and simulation implementation of related models.This article constructs a linearized model corresponding to the continuous model,which can reduce the complexity of derivation and calculation.Based on the principle of energy conservation,an approximate equation for a continuous contact force model is constructed by introducing equivalent indentation depth and equivalent velocity,and a linearized model for the continuous contact force model is constructed based on this approximate equation.The linearized model is compared with the nonlinear continuous model through simulation,verifying the feasibility of the linearized model and providing the applicable range and simulation strategy of the model.Existing continuous models often ignore residual deformation after collision,which is common in collisions with viscoelastic materials.This paper constructs a continuous model that can simulate collisions with residual deformation,which can expand the application range of continuous models.Based on the basic equations of the continuous contact force model,a new primary expression for describing collisions with residual deformation is constructed by establishing an approximate dynamic equation.Based on the dimensionless form of the system dynamic equation and the approximate dynamic equation,a series of different residual deformation rates0)and coefficient of restitution(8The numerical simulation result of r modifies the primary expression and determines the correction coefficient based on the consistency of the coefficient of restitution before and after the simulation,Thus completing the construction of the new model.Comparing the simulation results based on the new model with experimental data,the results show that the new model has high simulation accuracy for collisions with residual deformation.Finally,based on the linearized model and the new model that can simulate the residual deformation,the simulation was carried out by setting different collision parameters.Based on the obtained results of indentation depth time,contact force indentation depth,velocity time,etc.,and compared with Hertz model,the impact of coefficient of restitution,stiffness coefficient,initial velocity,and residual deformation rate on the collision dynamic process was analyzed.