Optimal placement and tuning of multiple-mass-dampers within a combined topology optimization method

在现代高性能机床中，动态特性是一个决定性因素。为了改善已经在开发阶段的动力性能，可以使用结构优化方法。特别是通过使用拓扑优化，可以优化框架部件相对于其固有频率的刚质量比。动力辅助系统，如调谐质量阻尼器(TMD)，主要用于现有的机器，通过对特定的振动模式进行减振来提高动态柔度。然而，这些系统很少用于开发阶段，通常被认为是问题的解决者。研究项目的总体目标是开发一种新的优化方法，将拓扑优化与分布式TMD系统的最优布局相结合，以降低机床的动态柔度。在第一个资助期，开发了一种多质量阻尼器的自动优化定位和新的解析调谐方法，并进行了实验验证。第二阶段的研究重点是拓扑优化和阻尼器调谐耦合机制的实现和测试，以及使用添加制造方法对组合优化方法的实际验证，该方法允许在单个部件内制造具有集成质量阻尼器的轻质结构。为此，在优化过程中需要考虑制造约束，附加制造的阻尼器质量需要是可参数化的，并且优化结果必须转换为面向生产的数据格式。利用SLM演示器对组合优化方法进行了实验验证，并对其性能进行了评估。

The dynamic behavior is a deciding factor in modern high-performance machine tools. To improve the dynamic behavior already during the development phase, structural optimization methods can be used. Especially by using topology optimization, the stiffness-to-mass ratio of frame components, with respect to their Eigen frequencies for example, can be optimized. Mainly for existing machines, dynamic auxiliary systems like tuned mass dampers (TMD) can be used to improve the dynamic compliance by damping specific vibration modes. However, those systems are rarely used in the development phase and are often considered to be problem-solvers.The overall goal of the research project is to develop a new optimization method to reduce the dynamic compliance of machine tools, combining topology optimization and an optimal layout of distributed TMD systems. During the first funding period, an automated optimal positioning and new analytic tuning method for multi-mass dampers was developed and experimentally verified. Furthermore, a framework was developed to be able to realize the combined optimization approach.The second phase of the research project focuses on the implementation and testing of coupling mechanisms for topology optimization and damper tuning as well as on the practical verification of the combined approach using additive manufacturing methods, which allow the manufacturing of light-weight structures with integrated mass dampers within a single part. To this end, manufacturing restrictions need to be considered during the optimization, the additively manufactured damper masses need to be parametrizable and the optimization results must be converted into a production-oriented data format. The combined optimization method will be experimentally verified using an SLM demonstrator, finally evaluating its performance.