Optimization of a Triangular Slot Shape in a Tire Tread Block by Using the Finite Element Analysis and MPSO
The work of this paper presents the use of MPSO which is an evolutionary optimizer. The work objective is finding the optimal shape of triangular slot in a tire tread block. The numbers of design parameters with triangular slot are 9. They are used to characterize size and position of the triangular slot in a tire tread block. The optimization methods are implemented to solve two objectives. First, the normal contact stress at contact patch region must be lowest and second, the friction contact stress at the same region must be highest. Therefore, the problem type is bi-objective optimization. The finite element analyses are simulated by modeling of tire tread block contacting to the friction surface with commercial finite element program (ANSYS). The models are simulated as compressing and sliding or braking situation. The tire tread block is modeled as hyperelastic material which used the three basic tests, i.e., uni-axial tensile test, planar shear test and equal bi-axial tensile test. The best fitted of hyperelastic material model for the work is Ogden Hyper Foam order 3th. The results of work are present as the mean of design parameters which are accepted for two objectives.