Thermo-Mechanical Coupling Finite Element Method Research And Calculation Of Rolling Resistance And Temperature Rise Of Non-Pneumatic Tires

Non-pneumatic tires(NPT)overcome the problems of traditional pneumatic tires,such as non-puncture resistance,easy puncture,and complicated processing technology.It is one of the key development directions of low-carbon fuel-saving tires.Rolling resistance is an important factor affecting tire energy consumption,and the energy lost by tires will be dissipated in the form of heat,affecting its service life.Therefore,constructing a highprecision prediction method of tire rolling resistance and temperature rise is of great significance for the optimal design of high-performance fuel-saving tires.In order to achieve high-precision prediction of rolling resistance and temperature rise of non-pneumatic tires,the nonlinear viscoelasticity theory of rubber is used to study the tire thermo-mechanical coupling finite element calculation method.The main research contents and achievements are as follows:(1)The cyclic tensile dynamic stress-strain curve,dynamic energy loss and thermal performance parameters of silica-reinforced solution styrene-butadiene rubber(S-SBR)were systematically tested.Vertical compression deformation tests,as well as rolling resistance and temperature rise tests under different working conditions,were carried out on solid rubber tires.The test results provide data support for the acquisition of the material parameters in the early stage of the FEM and the verification of the thermo-mechanical coupling simulation results.(2)According to the test results,the hyperelastic constitutive equation and parameters of S-SBR composites and parameters of Kraus self-generated heat model were fitted.Taking solid rubber tires as the research object,the thermomechanical coupling method of Abaqus and Endurica co-simulation is constructed.The surface temperature rise and rolling resistance of the Lagrangian-Eulerian,Lagrangian and Plane Strain finite element solid tire models are calculated,and their simulation accuracy and computational cost are compared.The results show that the average calculation errors(%)of the surface temperature rise for the Lagrangian-Eulerian,Lagrangian and Plane Strain solid tire models under the three boundary conditions are 9.7,3.4 and21.4.The average calculation errors(%)of rolling resistance are 11.1,7.9 and44.7.The average time(s)to calculate is 2621,5597 and 1143.It can be seen that the Lagrangian model has the highest simulation accuracy,but also has the problem of the highest computational cost.The Plane Strain model is the opposite,with the lowest computational accuracy but the lowest computational cost.And Lagrangian-Eulerian can take into account both computational accuracy and time cost.The simulation results of the three models are completely consistent in the changing trend with the test results,which proves the effectiveness of the thermo-mechanical coupling method constructed.(3)The constructed thermo-mechanical coupling method is applied to the NPT models of Honeycomb-type,Spoke-type and Uptis-type elastic support body structures.Under the premise of ensuring the same outer edge dimensions,consistent material parameters,consistent boundary conditions and similar vertical stiffness,the static and dynamic performances under high-speed and heavy-load conditions are calculated.The results show that the vertical stiffness(N/mm)of the Honeycomb-type,Spoke-type and Uptis-type NPT models under static loading is 523.7,515.6 and 522.2,the Mises stress peak(MPa)is 4.2,3.0and 3.5,the contact pressure peak(MPa)were 0.37,0.36 and 0.34.The peak surface temperature(°C)under dynamic rolling was 121.1,92.9 and 110.1,and the rolling resistance(N)was 37.5,33.9 and 40.4.It can be seen that the surface temperature peak value and rolling resistance calculation results of the spoketype NPT model are the lowest,and it has obvious advantages in the above performance comparison.