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

动态性能是现代高性能机床的决定因素。为了改善在开发阶段就已经存在的动力性能，可以采用结构优化方法。特别是通过拓扑优化，可以优化框架部件的刚度质量比，例如相对于它们的特征频率。主要针对现有的机器，动态辅助系统如调谐质量阻尼器（TMD）可以通过阻尼特定的振动模式来改善动态顺应性。然而，这些系统很少在开发阶段使用，并且通常被认为是问题解决者。研究项目的总体目标是将拓扑优化与分布式TMD系统的优化布局相结合，开发一种新的优化方法来降低机床的动态顺应性。在第一期资助期内，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。在此基础上，建立了实现组合优化的框架。该研究项目的第二阶段侧重于实现和测试用于拓扑优化和阻尼器调谐的耦合机构，以及使用增材制造方法对组合方法的实际验证，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限制，增材制造的阻尼器质量需要可参数化，优化结果必须转换为面向生产的数据格式。该组合优化方法将在SLM演示器上进行实验验证，最后评估其性能。

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.