In this paper, a new non-gradient-based topology optimization (TO) method proposed. Simulated annealing (SA) with crystallization factor used to generate new solutions. During this process, the newly generated solutions evaluated based on the SA concept. A density filter also applied to remove the discontinuity of shapes. The innovation of this method is applying the history of accepted or rejected solutions by the crystallization factor. Results of compliance minimization of cantilever and MBB-beams from the proposed method compared with the results of gradient-based methods. The main advantage of the proposed method is the improvement of convergence of the results as well as no need for the derivative of the objective function.
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