Multi-scale simulation and verification test of vibration characteristics of lattice-structured air rudder made by additive manufacturing

增材制造点阵结构空气舵振动特性多尺度模拟与试验验证

China Aerodynamics Research and Development Center, Mianyang 621000, China

Received: 1 September 2025

Abstract

In order to grasp the vibration characteristics of a lattice-structured air rudder made by additive manufacturing, this paper carried out its multi-scale simulation and verification tests. Firstly, the design and additive manufacturing of the air rudder with the body-centered cubic lattice structure are conducted with the selective laser melting method. Then, the repeated unit cell (RUC) of the lattice structure is extracted and its periodic boundary conditions are established. On this basis, the mesoscopic stress distribution of the RUC under different loading conditions and the macroscopic equivalent mechanical performance parameters of the lattice structure are obtained with the multi-scale simulation. The results reveal that the body-centered cubic lattice structure is orthotropic macroscopically. Finally, the natural frequency and mode shape of the air rudder are calculated with the method proposed in this paper. The calculation results show that the simulation results are in good agreement with the verification test results, with the relative errors of the first three orders of natural frequency being less than 5.0%.

摘要

为了掌握增材制造点阵结构空气舵的振动特性, 开展了多尺度模拟方法和试验验证研究。基于选区激光熔化方法开展了含体心立方点阵结构空气舵的设计与增材制造; 提取了点阵结构的重复性单元(repeated unit cell, RUC)并为其建立了周期性边界条件; 在此基础上通过多尺度模拟获得了RUC在不同载荷状态下的细观应力分布, 以及点阵结构的宏观等效力学性能参数, 结果表明体心立方点阵结构在宏观上表现为正交各向异性。基于文中方法计算得到了空气舵固有频率和模态振型, 仿真结果与试验测试结果基本一致, 前3阶固有频率相对误差不超过5.0%。