Vibration Properties of TPMS Based Structures

This is article itself. Vibration Properties of TPMS Based Structures Having interesting properties, inherent characteristics and certain trigonometric function compositions, TPMSs (triply periodic minimal surfaces), is one of the best candidate for porous scaffold production by having many tuneable parameters. TPMS unit cells have a crystalline structure, in the sense of repeating themselves infinitely in space, in other words being triply periodic. The structure can be found in living beings such as butterflies, beetles and other insects as biologically optimized surfaces for different focuses. TPMS based scaffolds can be optimized for not only geometric but also mechanic requirements by tunning parameters. Besides to tunable parameters, the development of 3D printer systems that can use metalic materials, it has become possible to produce porous structures that can be obtained with increased precision of micro details for the productions requiring certain mechanical properties. In this study, the natural vibrational behavior of TPMS based structures is investigated by focusing on the combination of material and geometry with the highest production potential. TPMS structures with different geometry, material and wall thickness have been studied in a wide and feasible range depending on the change of parameters directly affecting modal behavior such as mass and stiffness. In this respect, the results that can be used as comparative values for TPMS based constructions are obtained. As a result of the obtained results, it has been seen that not only the numerical changes in the natural vibration behaviors of the systems, but also the behavioral characteristics which are difficult to predict are emerged. It is thought that the results obtained are important not only for theoretical studies but also for practical applications.

本文聚焦TPMS基结构的振动特性展开研究。三重周期极小曲面（triply periodic minimal surfaces，TPMS）具备独特性能、固有属性与特定三角函数组合形式，凭借丰富的可调参数，成为多孔支架制备的优选候选方案之一。TPMS胞元具有类晶体结构，即在空间中无限周期性重复，换言之即具备三重周期性。这类结构可在蝴蝶、甲虫及其他昆虫等生物体内发现，是针对不同应用场景经过生物优化的表面结构。基于TPMS的支架可通过调节参数，同时优化几何与力学性能需求。除可调参数外，随着可使用金属材料的3D打印系统的发展，针对具备特定力学性能需求的生产场景，制备微观细节精度更高的多孔结构已成为可能。本研究聚焦于兼具最高量产潜力的材料与几何组合，对TPMS基结构的固有振动特性展开探究。研究在宽可行参数范围内，针对几何、材料及壁厚各异的TPMS结构开展分析，考察直接影响模态特性（如质量与刚度）的参数变化所带来的影响。据此，本研究获得了可作为TPMS基结构参考对比值的分析结果。研究结果表明，该类系统的固有振动特性不仅会出现数值层面的变化，还会涌现出难以预测的行为特征。本研究所得结果不仅对理论研究具有重要价值，同时亦可指导实际应用。