Research on filter algorithm applied in continuum topology optimization

Some methods to overcome numerical instabilities applied in continuum topology optimization were listed and analyzed. Based on filter algorithm, a new filter was proposed and its filter radius can be adjusted properly by its filter exponent. Optimal topology structures were studied on different filter objects, filter radius and filter exponents. Numerical topology optimization example of a short cantilever beam is shown to demonstrate the feasibility of the new filter on eliminating the numerical instabilities in topology optimization.