Prediction of Temperature Distribution of Steady State Rolling Tires
E. Ledbury, L. Wang, D. Johnson, C. Bouvard, S.D. Felicelli
Mississippi State University
Introduction
Diagram of an example of a coupled thermo-mechanical model including three modules
Deformation Module
• Use ABAQUS tire analysis capability
• Hyperelastic material
• Steady-state rolling analysis
• Input: weight, speed, inflation pressure, road friction
• Output: Strain – Stress
Mechanical Analysis Sequence
Dissipation Module
total
loss
U
UH
The energy dissipated in the tire by viscoelastic effects can be obtained from the hysteresis of the material
totalU
lossU Strain energy lost by dissipation
Total strain energy in tire (obtained from Mechanical Module)
H Hysteresis (obtained from DMA testing)
)( totalUH
Heat generationD
VUq Lloss
LV Vehicle speed
D Tire diameter
2D Axi-symmetric Tire Model
Tire (185/60 R15) Geometry and Meshing
Material Properties(Lin and Hwang, 2004)
Components Apex InnerLiner Bead Rubber, Ply SideWall TreadMaterial Apex InnerLiner Rebar Rubber SideWall
CompoundTread
Properties Hyperelastic Hyperelastic Elastic Hyperelastic Hyperelastic HyperelasticDensity (kg/m³) 1200 1200 6500 1200 1200 1200
Poison's Ratio - - 0.3 - -
Young's Modulus (Pa)
- - 207×109 - -
Mooney-Rivlin Constants (MPa)
C10 = 118.9C01= -71.8D1 = 0.003
C10 = 118.9C01= -71.8D1 = 0.01
- C10 = 118.9C01= -71.8D1 = 0.03
C10 = 118.9C01= -71.8D1 = 0.01
C10 = 118.9C01= -71.8D1 = 0.04
Displacement Contour
Displacement for half-tire static modeling (6 kN, 50 psi)
Displacement vs. Loading
Comparison between model prediction and experiments (Lin and Hwang, 2004)
3D Full-Tire Steady State Rolling
Displacement
Displacement for 3D full-tire steady state rolling modeling (6kN, 50 psi, 80 km/h)
Strain Energy Density
ESEDEN at the cross-section connecting to the road contact for 3D full tire steady state
rolling modeling (6kN, 50 psi, 80 km/h)
Temperature Distribution (50 psi, 60 km/h)
Max Temp. in Tire Shoulder
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