This paper presents an efficient and comprehensive MATLAB code to solve two-dimensional structural topology optimization problems, including minimum mean compliance, compliant mechanism synthesis and multi-load compliance problems. The Unsmooth Variational Topology Optimization (UNVARTOP) method, developed by the authors in a previous work, is used in the topology optimization code, based on the finite element method (FEM), to compute the sensitivity and update the topology. The paper also includes instructions to improve the bisection algorithm, modify the computation of the Lagrangian multiplier by using an Augmented Lagrangian to impose the constraint, implement heat conduction problems and extend the code to three-dimensional topology optimization problems. The code, intended for students and newcomers in topology optimization, is included as an appendix (Appendix A) and it can be downloaded from https://github.com/DanielYago together with supplementary material.

中文翻译：

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使用非光滑变分拓扑优化 (UNVARTOP) 方法进行拓扑优化。Matlab 中的教育实现

本文提出了一种高效、全面的 MATLAB 代码来解决二维结构拓扑优化问题，包括最小平均顺应性、顺应机制综合和多载荷顺应性问题。作者在之前的工作中开发的不光滑变分拓扑优化 (UNVARTOP) 方法用于拓扑优化代码，基于有限元方法 (FEM)，计算灵敏度并更新拓扑。该论文还包括改进二分算法、通过使用增广拉格朗日施加约束来修改拉格朗日乘子的计算、实现热传导问题以及将代码扩展到三维拓扑优化问题的说明。该代码适用于拓扑优化的学生和新手，