In a topology optimization setting, design-dependent fluidic pressure loads pose several challenges as their direction, magnitude, and location alter with topology evolution. This paper offers a compact 100-line MATLAB code, TOPress, for topology optimization of structures subjected to fluidic pressure loads using the method of moving asymptotes. The code is intended for pedagogical purposes and aims to ease the beginners' and students' learning toward topology optimization with design-dependent fluidic pressure loads. TOPress is developed per the approach first reported in Kumar et al. (Struct Multidisc Optim 61(4):1637-1655, 2020). The Darcy law, in conjunction with the drainage term, is used to model the applied pressure load. The consistent nodal loads are determined from the obtained pressure field. The employed approach facilitates inexpensive computation of the load sensitivities using the adjoint-variable method. Compliance minimization subject to volume constraint optimization problems is solved. The success and efficacy of the code are demonstrated by solving benchmark numerical examples involving pressure loads, wherein the importance of load sensitivities is also demonstrated. TOPress contains six main parts, is described in detail, and is extended to solve different problems. Steps to include a projection filter are provided to achieve loadbearing designs close to~0-1. The code is provided in Appendix~B and can also be downloaded along with its extensions from \url{https://github.com/PrabhatIn/TOPress}.
翻译:在拓扑优化框架下,依赖设计的流体压力载荷因其方向、大小和位置随拓扑演变而变化而带来诸多挑战。本文提出一款紧凑的100行MATLAB代码TOPress,采用移动渐近线法实现受流体压力载荷作用的结构拓扑优化。该代码旨在服务于教学目的,降低初学者和学生对于依赖设计流体压力载荷的拓扑优化的学习门槛。TOPress基于Kumar等(Struct Multidisc Optim 61(4):1637-1655, 2020)首次报道的方法开发。采用达西定律结合排水项对施加的压力载荷进行建模,并根据获得的压力场确定一致节点载荷。该方法通过伴随变量法实现载荷灵敏度的低成本计算,并求解了体积约束下的柔度最小化优化问题。通过求解涉及压力载荷的基准数值算例验证了代码的有效性与成功性,同时展示了载荷灵敏度的重要性。TOPress包含六大主要模块,本文对其进行了详细描述并扩展以求解不同问题。提供了包含投影滤波器的步骤以获取接近0-1的承载设计。代码见附录B,也可连同其扩展版本从\url{https://github.com/PrabhatIn/TOPress}下载。