Cross-scale numerical analysis and optimization of machine tool dynamics by integration of particle-filled hollow sphere structures

提高机床的生产率需要更高的进给速度。这需要更高的加速度，并且由于抽搐，导致框架结构的宽带激励，这反映在工件的质量上。通过被动阻尼方法可以实现必要的振动幅度的减小，而无需进一步的能量消耗。对于气候中性的生产，它们的使用比主动方法更可取。颗粒填充的空心球体结构（PHS）在保持高弹性模量密度比的同时，具有结构集成、局部适应、被动阻尼的轻量化结构。由于缺乏数值设计方法，小灵通的优异性能目前还不能专门用于复杂结构。该项目的目的是提供一种一致的模拟方法，代表微观、中尺度和宏观层面的频率选择动态特性，从而通过在微观层面上操纵局部材料特性，实现动态高负载机器部件的宏观结构优化。阻尼特性的变化是这样的，即产生的阻尼可以相对于固有结构频率进行优化，然后这些频率优化的空心球体可以根据宏观振动形状定位在具有最佳阻尼效果的位置。

Increasing the productivity of machine tools requires higher feed rates. This requires higher accelerations and, due to jerk, leads to broadband excitation of the frame structure, which is reflected in the quality of the workpiece. The necessary reduction of vibration amplitudes can be achieved by passive damping methods without further energy consumption. For climate-neutral production, their use is preferable to active methods. Particle-filled hollow sphere structures (PHS) enable lightweight construction with structure-integrated, locally adapted, passive damping while maintaining a high elastic modulus-to-density ratio. Due to the lack of numerical design methods, the outstanding properties of PHS cannot currently be used specifically in complex structures. The aim of the project is to provide a consistent simulation method that represents the frequency-selective dynamic properties at the micro, meso and macro levels and thus enables macroscopic structural optimization of dynamically highly loaded machine components by manipulating local material properties at the micro level. The damping properties are to be varied in such a way that the resulting damping can be optimized with respect to natural structural frequencies and these frequency-optimized hollow spheres can then be positioned at locations with the best possible damping effect according to the macroscopic vibration shapes.