The development of low dimensional explicit based topology optimization approaches such as moving morphable components method increased the hopes to develop and expand evolutionary based solutions in the topology optimization of continuum structures. Despite the low dimensionality of the parametrization which helps to increase the efficiency, due to the multimodal behavior of the objective function and the correlation between the design variables more researches should be done to improve the efficiency. This paper is dedicated to comparing nine non-gradient approach based approaches based on the moving morphable parameterization. The algorithms are compared by the convergence speed, the quality of final designs, and the abilities to explore and exploit based on a diversity index. It is demonstrated that only some of these algorithms can lead to globally optimal solutions. This research clarifies the ability of the aforementioned algorithms to solve the topology optimization problem which can help future researchers to develop more suitable and efficient algorithms for this problem.

低维基于显式拓扑优化方法的发展，例如移动可变形成分方法，增加了在连续体结构拓扑优化中开发和扩展基于进化的解决方案的希望。尽管参数化的维数较低，有助于提高效率，但由于目标函数的多峰行为以及设计变量之间的相关性，还需要进行更多研究以提高效率。本文致力于比较基于移动可变形参数化的九种基于非梯度方法的方法。通过收敛速度，最终设计的质量以及基于多样性指数进行探索和开发的能力来对算法进行比较。事实证明，这些算法中只有一些可以导致全局最优解。这项研究阐明了上述算法解决拓扑优化问题的能力，可以帮助未来的研究人员针对此问题开发更合适，更有效的算法。