Level Set Based Shape Optimization of Geometrically Nonlinear Structures

摘要: Using the level set method and topological derivatives, a shape optimization that is independent of initial topology developed for geometrically nonlinear structures in Total Lagrangian framework. In optimization, response analysis may not converge due to relatively sparse material distribution driven by conventional such as homogenization density methods. method, domain kept fixed its boundary represented an implicit moving embedded function, which facilitates handle complicated changes. The “Hamilton-Jacobi” (H-J) equation computationally robust numerical technique “up-wind scheme” lead optimal one according normal velocity field while both minimizing objective function instantaneous structural compliance satisfying required constraint allowable volume. this paper, based on obtained boundaries are actually analysis. able create holes whenever wherever necessary during minimize through variations at same time. update H-J determined from descent direction derived optimality conditions. rest extension method. Since homogeneous property explicit utilized, convergence difficulty effectively prevented.