Abstract
The guide-weight method is introduced to solve two kinds of topology optimization problems with multiple loads in this paper. The guide-weight method and its Lagrange multipliers’ solution methods are presented first, and the Lagrange multipliers’ solution method of problems with multiple constraints is improved by the dual method. Then the iterative formulas of the guide-weight method for topology optimization problems of minimum compliance and minimum weight are derived and corresponding numerical examples are calculated. The results of the examples exhibits that when the guide-weight method is used to solve topology optimization problems with multiple loads, it works very well with simple iterative formulas, and has fast convergence and good solution. After comparison with the results calculated by the SCP method in Ansys, one can conclude that the guide-weight method is an effective method and it provides a new way for solving topology optimization problems.
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Liu, X., Li, Z. & Chen, X. A new solution for topology optimization problems with multiple loads: The guide-weight method. Sci. China Technol. Sci. 54, 1505–1514 (2011). https://doi.org/10.1007/s11431-011-4334-z
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DOI: https://doi.org/10.1007/s11431-011-4334-z