This paper is devoted to proposing a new approach for damage detection of structures. In this technique, the biconjugate method -BCG- is employed. To remedy the noise effects, a new preconditioning algorithm is applied. The proposed preconditioner matrix significantly reduces the condition number of the system. Moreover, based on the characteristics of the damage vector, a new direct search algorithm is employed to increase the efficiency of the suggested damage detection scheme by reducing the number of unknowns. To corroborate the high efficiency and capability of the presented strategy, it is applied for estimating the severity and location of damage in the well-known 31-member and 52-member trusses. In this process, the noisy time history responses measured by a limited number of sensors. The results of numerical examples reveal high accuracy and robustness of the proposed method.

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