Modeling and Simulation of Static and Dynamic Behavior of Pre-stressed Joints in Machine Tools using Relative-Bedding-Elements

有限元分析（FEA）是对机床进行静态和动态仿真的重要工具。有限元分析中的单元使用形状函数来近似它们的物理特性。通常使用线性或更高多项式函数。线性单元的应用具有数值简单的优点，然而它们具有需要许多单元以获得足够的模型质量的缺点。另一方面，用高阶函数建模可以用更少的元素来完成这一点。在这种情况下，弹性关节的建模（即。e.在机床中）提出了大规模的问题。最先进的关节模型是有限的，适用于模态和频率响应分析。因此，很难对静态和动态行为进行现实的预测。因此，他的研究项目的目的是开发和实践预应力弹性接头的建模方法，使目前使用的密集单元网格过时，并正确地与高多项式有限元（如梁和壳）进行互操作。通过这种方式，目前使用离散弹簧阻尼元件、材料层或各种非线性接触模型的接头描述之间的差距应该被弥合。此外，该方法使一个有效的基于模型的刚度和阻尼参数的识别过程，因为系统的自由度变得显着更小。在这里，要求的第一年的项目处理的实验证明，充分接受的模型侧线性化的刚度和阻尼应变关节。

The Finite Element Analysis (FEA) is an important tool for the simulation of static and dynamic behavior of machine tools. The elements in FEA use shape functions for approximation of their physical characteristics. Commonly linear or higher-polynomial functions are used. Application of linear elements has the advantage of numerical simplicity however they have the disadvantage of need for many elements for sufficient model quality. On the other hand modeling with higher order function can do this with much less elements. In this context the modeling of elastic joints (i. e. in machine tools) poses a large-scale issue. State of the art joint models are limited suited for modal and frequency response analysis. So a realistic prediction of static and dynamic behavior will be difficult. Therefore the intention of his research project is the development and practice of a modeling approach for pre-stressed elastic joints which makes currently used closely spaced element meshing obsolete and which correctly interoperates with higher-polynomial finite elements - like beams and shells. In this way, the present gap between current descriptions of joints using discrete spring-damper-elements, layers of material or various non-linear contact models should be closed. Furthermore this method enables an efficient model-based identification process of stiffness and damping parameters because the systems degree of freedom becomes significantly smaller. Here the requested first year of the project deals with the experimental proof of sufficient acceptance to the model side linearization of stiffness and damping in strained joints.