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This paper aims at finding optimal lay-out of anisotropic materials under harmonic response within a specified region by using Independent, Continuous, Mapping (ICM) Method. Topology optimization model is established, which is referring to weight as objective and subject to response amplitude of the harmonic excitation. Firstly, independent continuous topological variables and filter functions of elemental mass matrix, elemental stiffness matrix and elemental weight are introduced in order to solve this optimal model. The filter function of the interpolation equations of anisotropic stiffness matrix was deduced. And these filter function were putted into the dynamic topology optimization of differential equation to analyses the design sensitivity and optimize the structure. Then an explicit expression of constraint(s) with respect to the topological variables is obtained based on Rayleigh’s quotient and sequential approximation method with filter functions. Finally, the topology optimization problem is solved by dual sequence quadratic programming (DSQP). In addition, Numerical examples are provided to demonstrate the validity and effectiveness of the ICM method.

Topology optimization, Harmonic response, Anisotropic materials, ICM method