摘要：The paper proposes a topology optimization method for 1D phononic structures to minimize the tangential component of particle velocity at the objective *** tangential derivative of the boundary integral equation(TDBIE)is employed for the evaluation of the objective function involves the tangential derivative *** topological derivative is derived through the adjoint method and the Neumann boundary condition of the adjoint field is obtained using the *** average topological derivative which is obtained by calculating the average value of the topological derivative in each layer of design domains,is employed for the updating of the level set *** implementations demonstrate the proposed method is effective for the design of the 1D phononic crystals with the objective function involving tangential derivative quantities.