Planar Continuum Structure Topology Optimization With Displacement Constraint Based on Independent Continuous Variables and Composite Exponential Function

To study the rationality and feasibility of the continuum structure topology optimization model, an improved minimum weight with a displacement constraint (MWDC) model by using exponential function was studied, which was based on the independent continuous mapping (ICM) method. A new topology optimization model for the problem of planar continuum structure with independent continuous variables and displacement constraints was established and solved. At the same time, a calculator program was developed and compiled based on the MATLAB in accordance with the new method. In addition, four typical numerical examples were adopted to verify the presented method. The topological results by taking advantage of MCVC model, MWDC model and improved MWDC model were compared with the view of structural mass and iterative numbers.Numerical results show that there is obvious advantage to solve the problem of planar continuum structure topology optimization with the improved MWDC optimization model in terms of calculation efficiency.