Figure
61. Modeled resistance force in coefficient form (longitudinal/vertical) and vertical dis-
62. Finite element model, measured data, and NRMM predictions
63. Finite element simulations at zero slip and at unlimited slip
64. Marking the snow to observe snow deformation after vehicle passage ................. 49
65. Comparison of measured displacement to modeled displacement
66. Comparison of measured and modeled displacement
67. Comparison of measured and modeled densities
68. Rolling tire on an elastic material (sand). .............................................................. 52
69. Rolling ShoopDarnell tire on a DruckerPrager cap model
70. Deformed mesh of modal analysis tire model in snow after 8 cm of sinkage ....... 54
71. Close-up of a tire after sinking 8 cm into the snow at the beginning of roll .......... 54
TABLES
Table
1. Initial material model parameters ..........................................................................
15
2. Pressurevolume data calculated from the Abele and Gow (1975) data set
16
3. Hardening table for fresh snow with a density of 200 kg/m3 .................................
18
4. Material constants for DruckerPrager cap model of McCormick Ranch sand .....
23
5. Hardening model for McCormick Ranch sand (HKS, 1996) .................................
23
6. Tire characteristics for test tires at an average vertical load of 6227 N .................
25
7. Bending stiffness of tire sections ...........................................................................
29
8. Properties of sidewall elements and tire model components .................................
29
9. Features of the modal analysis models with smooth and straight ribbed tread ......
34
10. Qualitative summary of runtime analysis ..............................................................
41
11. Measured sinkage and resistance in snow .............................................................
45
v