Citation: BEKAKOS, C.-A., 2016. Off-road tire-terrain interaction: an analytical solution. SAE International Journal of Commercial Vehicles, 9 (2), pp.
244-251.Additional Information:• This paper was accepted for publication in the journal SAE In-
INTRODUCTIONTire-road interaction is a highly complex dynamic phenomenon, which has been subject to extensive research and development within the automotive industry. The tire is the dominant link between a vehicle body and road surface dynamic interaction in terms of accelerating, braking and steering forces. On-road tires have attracted significant attention with regards to reducing rolling resistance and fuel consumption following several European and/or world guidelines. However, off-road tires-soil interaction occupies an equally important position within the tire industry not only for military purposes but also for the growth of agricultural-based countries' economies.The ability of tracked and wheeled vehicles to transverse certain types of soft soils is a complex, multivariable phenomenon and because of this, several assumptions have to be made in order to create accurate and yet computationally efficient off-road tire models. Finite element models can produce highly accurate time-domain solutions, taking into account the exact properties of the tire and soil surface, however, they are typically unsuitable as inputs for interactive, dynamic vehicle simulations as they operate far from real time. Semi-analytical and/or numerical simplified models have been created in the past where the soil is being regarded as an elasticperfectly plastic material [1] and the tire is being considered as a rigid wheel model, representative of a highly inflated tire rolling on a very soft soil [2]. To the best of the authors' knowledge, regardless of the assumptions involved, in most of the models published in the literature the off-road tire-soil interaction is studied in terms of two main effects. The first tries to capture the relationship between the normal load and vertical displacement (sinkage) of the wheel into the soil; the second has to do with the shear stress-shear displacement developed on the tire-soil interface.In a pioneering paper representative of the former effect [3], based on the observation that the main resistance in a tire's movement is due to the effort to create a rut in order to transverse, Bernstein proposed eq.(1), which was later extended in a more generalized version, i.e. eq.
ABSTRACTA novel semi-analytical solution has been developed for the calculation of the static and dynamic response of an off road tire interacting with a deformable terrain, which utilizes soil parameters independent of the size of the contact patch (size-independent). The models involved in the solution presented, can be categorized in rigid and/or pneumatic tires, with or without tread pattern. After a concise literature review of related methods, a detailed presentation of the semi-analytical solution is presented, along with assumptions and limitations. A flowchart is pro...