This paper presents a novel and effective design method to improve the structural dynamic performance of 3D box structures subjected to harmonic excitations by combining the stiffener layout optimization with the optimal tuning of attached tuned mass dampers (TMDs). First, the adaptive growth method which is based on the growth mechanism of natural branch systems is adopted to optimize the stiffener layout. To break through the obstacle of the adaptive growth method for dynamic response problems, the stiffeners’ material attribute penalty is introduced. Next, an integrated optimization approach is proposed to optimize the box structure and TMDs simultaneously, where the locations and dynamic parameters of TMDs are optimized in every step of stiffener layout optimization. Thus, the interaction between the box structure and TMDs is fully considered to improve the dynamic performance. Numerical examples of typical box structures are presented to validate the proposed method. The optimized stiffener layout is clear and reasonable with explicit geometric parameters, and the panel thickness has a great influence on the stiffener layout. When the stiffener layout and TMDs are optimized simultaneously, the modal strain energy of the box structure is more concentrated compared with that obtained from the non-simultaneous optimization cases. Therefore, the dynamic compliance of the target mode is significantly reduced.

本文提出了一种新颖而有效的设计方法，该方法通过将加强板布局优化与附加调谐质量阻尼器（TMD）的优化调整相结合，来改善受到谐波激励的3D箱形结构的结构动力性能。首先，采用基于自然分支系统增长机制的自适应增长方法来优化加劲肋的布局。为了突破动态响应问题的自适应增长方法的障碍，引入了加劲肋的材料属性惩罚。接下来，提出了一种综合优化方法来同时优化箱形结构和TMD，其中在加劲肋布局优化的每个步骤中都优化了TMD的位置和动态参数。因此，充分考虑了箱形结构与TMD之间的相互作用，以改善动态性能。给出了典型箱形结构的数值例子，以验证所提出的方法。优化后的加强筋布局清晰合理，并带有明确的几何参数，面板厚度对加强筋布局影响很大。当同时优化加劲肋布局和TMD时，与非同时优化情况相比，箱形结构的模态应变能更加集中。因此，目标模式的动态顺应性大大降低。优化后的加强筋布局清晰合理，并带有明确的几何参数，面板厚度对加强筋布局影响很大。当同时优化加劲肋布局和TMD时，与非同时优化情况相比，箱形结构的模态应变能更加集中。因此，目标模式的动态顺应性大大降低。优化后的加强筋布局清晰合理，并带有明确的几何参数，面板厚度对加强筋布局影响很大。当同时优化加劲肋布局和TMD时，与非同时优化情况相比，箱形结构的模态应变能更加集中。因此，目标模式的动态顺应性大大降低。