Abstract

Tire vertical stiffness is influenced by many factors. The inflation pressure, tire dimension, and usage of run-flat tire are considered in this paper. Robust multi-objective optimization technique is used to optimize the suspension performance considering the variation of the tire vertical stiffness. Three objective functions, discomfort, road holding, and working space are used to evaluate the dynamic behavior of the suspension considering a two-degree-of-freedom quarter-car model excited by a random road profile. The Pareto-optimal solutions in terms of suspension spring stiffness and damping coefficient are obtained and compared with the one computed by means of a deterministic approach. Solutions obtained by means of the robust optimization method are proven to be less sensitive to the possible variations of the tire vertical stiffness without influencing significantly the expected performance.

Highlights

  • Multi-objective optimization approaches are widely used to improve the vehicle performance

  • The wide range of optional tire size provided by vehicles manufactures can lead to different tire vertical stiffness. As both comfort and handling are sensitive to variations of tire vertical stiffness [1], the present paper aims at analyzing the problem of discomfort, road holding, and working space minimization in a multi-objective robust optimization framework

  • Suspension spring and damping coefficients are considered as design parameters to be optimized; multi-objective robust optimization approach is applied by accounting for uncertainty sources affecting the tire vertical stiffness parameter

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Summary

Introduction

Multi-objective optimization approaches are widely used to improve the vehicle performance. In the case of suspension systems, spring stiffness and damping coefficient may differ from their nominal values due to uncertainties related to the manufacturing process [5, 6] It is well recognized in the literature, that solutions obtained from deterministic optimization are more sensitive to uncertainties on the suspension parameters [7]. The wide range of optional tire size provided by vehicles manufactures can lead to different tire vertical stiffness As both comfort and handling are sensitive to variations of tire vertical stiffness [1], the present paper aims at analyzing the problem of discomfort, road holding, and working space minimization in a multi-objective robust optimization framework. Suspension spring and damping coefficients are considered as design parameters to be optimized; multi-objective robust optimization approach is applied by accounting for uncertainty sources affecting the tire vertical stiffness parameter.

Vehicle model
Multi-objective optimization
Deterministic formulation
Stochastic formulation
Pareto-optimal solutions
The ε-constraints method to find Pareto-optimal solutions
Pareto-optimal sets in the design variables domain
Pareto-optimal sets in the objective functions domain
Findings
Conclusions
Full Text
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