Abstract: In a tire design method, a numerical optimization is performed according to a basis vector process using an FEM model to obtain an optimal solution which optimizes an objective function for a tread pattern shape. A numerical optimization is performed according to an ECAT using the FEM model to obtain an optimal solution which optimizes the objective function for the tread pattern shape. Either of the calculations is executed first, and the optimal solution obtained at the first calculation is used as an initial shape when the other numerical optimization is performed.

Abstract: A tire is designed using a tire FEM model by obtaining an optimal solution for a tire structure which optimizes an objective function with a tread pattern shape kept fixed and performing a numerical optimization for obtaining an optimal solution for the tread pattern shape which optimizes the objective function with the tire structure kept fixed. The optimization for the tire structure is performed using a tire model having a tread pattern shape optimized at the immediately preceding cycle of the operation of optimizing the tread pattern shape. The optimization for the tread pattern shape is performed using a tire model having a tire structure optimized at the preceding cycle of the operation of optimizing the tire structure. The optimizing operations are repeated until convergence of optimal solutions obtained by those operations takes place.

Abstract: A tire is designed using a tire FEM model by obtaining an optimal solution for a tire structure which optimizes an objective function with a tread pattern shape kept fixed and performing a numerical optimization for obtaining an optimal solution for the tread pattern shape which optimizes the objective function with the tire structure kept fixed. The optimization for the tire structure is performed using a tire model having a tread pattern shape optimized at the immediately preceding cycle of the operation of optimizing the tread pattern shape. The optimization for the tread pattern shape is performed using a tire model having a tire structure optimized at the preceding cycle of the operation of optimizing the tire structure. The optimizing operations are repeated until convergence of optimal solutions obtained by those operations takes place.

Abstract: In a tire design method, a numerical optimization is performed according to a basis vector process using an FEM model to obtain an optimal solution which optimizes an objective function for a tread pattern shape. A numerical optimization is performed according to an ECAT using the FEM model to obtain an optimal solution which optimizes the objective function for the tread pattern shape. Either of the calculations is executed first, and the optimal solution obtained at the first calculation is used as an initial shape when the other numerical optimization is performed.

Abstract: An FEM model of an original shape of a block constituting a tread pattern is created, and FEM models of a plurality of base shapes which have the same number of nodes and the same element combination information as those of the original shape and which have different node coordinate values are created based on the original shape. A difference between a vector whose components are the coordinate values of a node of the original shape and a vector whose components are the coordinate values of a node of a base shape is defined as a basis vector. Such basis vectors are linearly combined to define a vector whose components are the coordinate values of each node of the optimization model. A weighting factor for the linear combination is set as a design variable, and a set of values of the design variables for optimizing the objective function are obtained based on an expression representing a relationship between the vector of the model for optimization and the basis vectors.