An Improved Guide-Weight Method Without the Sensitivity Analysis

This paper proposes an improved guide-weight method, in which the sensitivity analysis does not need to be calculated. Based on the Kuhn-Tucker extreme condition, the general iterative criterion of the improved guide-weight method is derived by importing relational function. The iterative criterion directly constructs an explicit representation between the design variable and the objective function, which does not require sensitivity analysis. Taking the problem of minimum compliance as an example, the iterative criterion between relative density and strain energy of elements is obtained under the condition of mass constraint. Two examples were studied using the two material interpolation models. The results show that the optimal results in the same topological form are obtained from the two material interpolation models. The results are consistent with the optimization results of the guide-weight method, which verifies the feasibility and effectiveness of using the improved guide-weight method to study the topology optimization without the sensitivity analysis.