大连理工大学主页平台管理系统 Yulin Mei--Home-- A simple discrete topology optimization method based on non-local element sensitivity analysis

Current position: Home >> Scientific Research >> Paper Publications >> A simple discrete topology optimization method based on non-local element sensitivity analysis

Paper Publications

Hits: Release time:2021-03-24

Title of Paper:A simple discrete topology optimization method based on non-local element sensitivity analysis
Indexed by:期刊论文
Date of Publication:2021-03-23
Journal:WSEAS Transactions on Computers
Volume:5
Issue:10
Page Number:2175-2182
ISSN No.:11092750
Abstract:The inaccurate evalation of the element sensitivities can result in the numerical non-stability of the discrete topology optimization algorithm, especially, when material is added to elements, the element sensitivity is highly overestimated, which yields the so called chess pattern results. To overcome the problem, a new sensitivity estimation formula is constructed based on the perturbation analysis of the elastic equilibrium increment equation, which can provide a good estimate of the change of the objective function whether the material is removed from or added to elements. Our research shows the new sensitivity estimation formula can increase estimation accuracy by about 25 times, compared with the conventional one. As a consequence, a simple discrete topology optimization method is established, and the optimization process characterizes itself by the ability to remove material from any element or to add material to any element in each iterative step.