Authors: KangSoo Park SungKie Youn
Publish Date: 2007/12/15
Volume: 36, Issue: 1, Pages: 43-58
Abstract
A new topology optimization using adaptive innerfront level set method is presented In the conventional level setbased topology optimization the optimum topology strongly depends on the initial level set due to the incapability of innerfront creation during the optimization process In the present work in this regard an algorithm for innerfront creation is proposed in which the sizes the positions and the number of new innerfronts during the optimization process can be globally and consistently identified In the algorithm the criterion of innerfront creation for compliance minimization problems of linear elastic structures is chosen as the strain energy density along with volumetric constraint To facilitate the innerfront creation process the innerfront creation map is constructed and used to define new level set function In the implementation of innerfront creation algorithm to suppress the numerical oscillation of solutions due to the sharp edges in the level set function domain regularization is carried out by solving the edge smoothing partial differential equation smoothing PDE To update the level set function during the optimization process the leastsquares finite element method LSFEM is adopted Through the LSFEM a symmetric positive definite system matrix is constructed and nondiffused and nonoscillatory solution for the hyperbolic PDE such as level set equation can be obtained As applications threedimensional topology optimization of shell structures is treated From the numerical examples it is shown that the present method brings in much needed flexibility in topologies during the level setbased topology optimization process
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