ICM method for topological optimization of continuum structure based on different filter functions

Due to the independence of design variables in independent, continuous, mapping (ICM) method, a new mixed modeling method was presented. SIMP and RAMP interpolation schemes were used as filter functions of element and volume element stiffness matrix. Based on mutual combination of filter functions, four different topological optimization models were presented. Compared with each other, the only difference among four models is about expression and numerical value of derivatives, so the same algorithm for the new models is ensured. New topological optimization model was illustrated by the examples of topological optimization problems with different parameters. Results are shown to demonstrate the feasibility and efficiency of method and model proposed herein.