This article aims to propose a kind of internally reinforced square tube based on triply periodic minimal surfaces (TPMSs), which can be obtained by computer-assisted techniques and additive manufacturing. To achieve this goal, a finite element simulation model is exploited to simulate the collision situation of reinforced thin-walled tubes. The design of reinforced tubes can be formulated into a multiparameter and multiobjective optimization problem, which can be solved using the well-known non-linear programming by quadratic Lagrangian (NLPQL) optimization method. Three types of TPMS-based tubes and two multicell tubes are compared under the same conditions to show the effectiveness of our method. Through the methods mentioned above, TPMS-reinforced tubes are found to be superior in crashworthiness. This means that the safety performance of the automobiles with lighter weight can be effectively improved. The optimal parameters of three types of TPMS-reinforced tubes under different conditions were obtained, providing the foundations and references for subsequent related studies. In addition, TPMS is first explored in the design of crashworthiness for automobiles in this article. Due to the controllability and implicit functional expression of TPMSs, TPMS-reinforced tubes can be easily controlled and optimized. Meanwhile, it is easy to manufacture them by three-dimensional printing technologies.

中文翻译：

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三周期极小曲面增强薄壁管的耐撞性设计

本文旨在提出一种基于三重周期最小曲面 (TPMS) 的内部增强方管，可通过计算机辅助技术和增材制造获得。为了实现这一目标，利用有限元仿真模型来模拟增强薄壁管的碰撞情况。钢筋管的设计可以表述为多参数和多目标优化问题，可以通过二次拉格朗日 (NLPQL) 优化方法使用众所周知的非线性规划来解决。在相同条件下比较了三种基于 TPMS 的管和两种多电池管，以显示我们方法的有效性。通过上述方法，发现 TPMS 增强管具有优异的耐撞性。这意味着重量更轻的汽车的安全性能可以得到有效提升。得到了三种类型TPMS加强管在不同工况下的最优参数，为后续相关研究提供了基础和参考。此外，本文首次在汽车耐撞设计中探索了TPMS。由于 TPMS 的可控性和隐式功能表达，可以轻松控制和优化 TPMS 增强管。同时，通过三维打印技术很容易制造它们。本文首先探讨了 TPMS 在汽车耐撞性设计中的应用。由于 TPMS 的可控性和隐式功能表达，可以轻松控制和优化 TPMS 增强管。同时，通过三维打印技术很容易制造它们。本文首先探讨了 TPMS 在汽车耐撞性设计中的应用。由于 TPMS 的可控性和隐式功能表达，可以轻松控制和优化 TPMS 增强管。同时，通过三维打印技术很容易制造它们。