Multi-objective traction optimization of vehicles in loose dry sand using the generalized reduced gradient method

Abstract A work optimization strategy is combined with algorithms within the vehicle-terrain interface (VTI) model to maximize the traction of a four-wheel vehicle operating on loose dry sand. The optimization model distributes traction among the steered and non-steered wheels with the work optimum coefficient (WOC) of each wheel treated as an independent design objective. Drawbar pull (DBP), motion resistance (MR), longitudinal traction coefficient (LTC), lateral force coefficient (LFC), tire deflection, and wheel slip are key parameters that appear in the VTI model for traction performance analysis. The analysis includes wheels of different diameters, widths, heights, and inflation pressures, under variable wheel slips. A multi-objective optimization problem is formulated over a thirteen-dimensional search space bounded by eight design constraints. The generalized reduced gradient method is used to predict optimal values of the design variables as well as ground and traction parameters such as DBP, MR, LTC, and LFC for maximum slope climbing efficiency. The WOCs are maximized for lateral slip angles between 0° and 24° to find a set of Pareto optimal solutions over a wide range of weight factors. A method to apply the optimization results for predicting vehicle performance and traction control on dry sand is presented and discussed.

[1]  M. G. Bekker,et al.  Off-the-road locomotion , 1960 .

[2]  George B. McKinley,et al.  Enhanced vehicle dynamics module , 2009 .

[3]  D. R. Freitag,et al.  A dimensional analysis of the performance of pneumatic tires on soft soils , 1965 .

[4]  M. Schreiber,et al.  Influence of soil and tire parameters on traction , 2018 .

[5]  A. Belegundu,et al.  Optimization Concepts and Applications in Engineering , 2011 .

[6]  Tor Arne Johansen,et al.  Nonlinear vehicle side-slip estimation with friction adaptation , 2008, Autom..

[7]  Diane L. Peters,et al.  Pareto set analysis: local measures of objective coupling in multiobjective design optimization , 2011 .

[8]  G. W. Turnage.  Performance of Soils under Tire Loads. Report 8. Application of Test Results to Tire Selection for Off-Road Vehicles , 1972 .

[9]  Isaac L. Howard,et al.  Mobility algorithm evaluation using a consolidated database developed for wheeled vehicles operating on dry sands , 2016 .

[10]  Chandramouli Padmanabhan,et al.  Hydro-gas suspension system for a tracked vehicle: Modeling and analysis , 2011 .

[11]  He Xu,et al.  Modeling and multiobjective optimization of traction performance for autonomous wheeled mobile robot in rough terrain , 2013, Journal of Zhejiang University SCIENCE C.

[12]  Randolph A. Jones,et al.  Results of Traction and Slope Climbing Tests with Selected Military Vehicles and Retrofit Tires in Support of Operation Desert Shield/Storm. , 1995 .

[13]  John F. Peters,et al.  High Resolution Soil Vehicle Interaction Modeling , 1998 .

[14]  George Y. Baladi,et al.  A Terrain-Vehicle Interaction Model for Analysis of Steering Performance of Track-Laying Vehicles , 1979 .

[15]  Jody D. Priddy.  Stochastic Vehicle Mobility Forecasts Using the NATO Reference Mobility Model. Report 3. Database Development for Statistical Analysis of the NRMM II Cross-Country Traction Empirical Relationships. , 1995 .

[16]  Leslie L. Karafiath,et al.  Soil mechanics for off-road vehicle engineering , 1978 .

[17]  M. G. Bekker.  Introduction to Terrain-Vehicle Systems , 1969 .

[18]  Tatsuro Muro,et al.  Numerical analysis to predict turning characteristics of rigid suspension tracked vehicle , 1999 .

[19]  Jo Yung Wong,et al.  Theory of ground vehicles , 1978 .

[20]  Timothy T. Vong,et al.  NATO Reference Mobility Model (NRMM) Modeling of the DEMO III experimental Unmanned Ground Vehicle (XUV) , 1999 .

[21]  M. G. Bekker,et al.  Theory of land locomotion , 1956 .

[22]  I. R. Ehrlich,et al.  INTERNATIONAL SOCIETY FOR TERRAIN-VEHICLE SYSTEMS STANDARDS , 1977 .

[23]  K. P. Pandey,et al.  Matching tyre size to weight, speed and power available for maximising pulling ability of agricultural tractors , 2001 .

[24]  E. M. Leflaive.  Mechanics of wheels on soft soils: A method of analyzing test results , 1966 .

[25]  David Gorsich,et al.  A technical survey on Terramechanics models for tire–terrain interaction used in modeling and simulation of wheeled vehicles , 2015 .

[26]  Robert D. Grisso,et al.  Traction and Tractor Performance , 2012 .

[27]  Gary N. Durham,et al.  Powered Wheels in the Turned Mode Operating on Yielding Soils , 1976 .

[28]  Singiresu S. Rao.  Engineering Optimization : Theory and Practice , 2010 .

[29]  Dan Negrut,et al.  A Physics-Based Vehicle/Terrain Interaction Model for Soft Soil Off-Road Vehicle Simulations , 2012 .