Dynamic Analysis Of Automobile Disc Brake Based On Fractional-Order Derivative

Disk brake is the most common mechanical part in the machinery industry.Disk brake has many advantages,such as simple and compact structure,uniform force,good heat dissipation performance.Therefore,it is widely used in brake devices in automobile and other industries.The self-excited vibration of the disc brake at the low speed stage is eliminated by adding a viscoelastic damping layer between the brake pad and the caliper body.In this paper,the following work is mainly carried out based on the vibration damping effect of viscoelastic damping materials:Firstly,a fractional-order model of single-degree-of-freedom disc brake based on viscoelastic material is established.The approximate analytical solution of the model is solved by KBM method.The numerical solution of the model is solved by power series method.The correctness of the analytical solution is verified by numerical solution.The effects of the coefficients and order of fractional differential terms on system dynamics and bifurcation behavior are analyzed by analytical solution.Next,a fractional-order model of two-degree-of-freedom disc brakes based on viscoelastic material is established.The power series method is used to analyze the influence of the coefficients and order of fractional differential terms on the dynamics and bifurcation behavior of the system.Finally,a rigid body dynamics model based on Adams is established.The rigid body model simulates the braking process of the brake and verifies the vibration damping effect of the viscoelastic material in the low speed phase of the brake.A joint simulation model based on Adams and Simulink is established.The influence of fractional differential terms on the system is verified from the perspective of mathematical model and solid model joint simulation.