The optimal topology design is to minimize the compliance which is equivalent to maximizing the stiffness of the structures under a total material usage constraint. The structural analysis is solved by finite element method. If the finite element mesh...
The optimal topology design is to minimize the compliance which is equivalent to maximizing the stiffness of the structures under a total material usage constraint. The structural analysis is solved by finite element method. If the finite element mesh is removed, the geometry of structure is changed. Hence, in order to describe the removal of the finite element, the density is introduced. The density of each finite element is chosen as the design variable and its relationship with Young's modulus is expressed by an empirical formula
In this study, the optimization is performed by sequential quadratic programming.