Reduced-basis technique for evaluating the sensitivity coefficients of the nonlinear tire response

An efficient reduced-basis technique is presented for calculating the sensitivity of nonlinear tire response to variations in the desin variables. The tire is discretized by using three-field mixed finite element models. The vector of structural response and its first- and second-order sensitivity coefficients (derivatives with respect to design variables) are each expressed as linear combinations of a small number of basis (or global approximation) vectors. The Bubnov-Galerkin technique is then used to approximate each of the finite element equations governing the response and the sensitivity coefficients, by a small number of algebraic equations in the amplitudes of these vectors

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