Substructure Coupling of a Machine Tool in Arbitrary Axis Positions Considering Local Linear Damping Models
Substructure Coupling of a Machine Tool in Arbitrary Axis Positions Considering Local Linear Damping Models
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DOI：
10.1115/1.4043767
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发表时间：
2019-07
期刊：
影响因子：
--
通讯作者：
T. Semm;M. Nierlich;M. Zaeh
中科院分区：
文献类型：
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作者：
T. Semm;M. Nierlich;M. Zaeh
虚拟原型，例如，有限元模型通常用于减少新一代机床的开发时间。然而，这些模型的准确性往往是有限的，他们的代表性的阻尼效应和可能性，以有效地模拟在不同的轴位置的动态行为。本文展示了不同的轴位置的单轴机床配置内的局部阻尼分布的变化。在此基础上，提出了一种在保持计算时间小的情况下精确建模位置相关动力学的方法。机器的虚拟模型被划分为几个子结构，这些子结构考虑了每个耗散源的局部阻尼行为。减少的质量，刚度和阻尼矩阵耦合在所需的机器位置，通过使用多点约束，这是在所需的机器位置后，减少的子结构。四种不同的方法来施加多点约束的减少子结构进行了比较，其次是他们的影响参数的调查。最有前途的方法相比，没有局部阻尼表示的模型，以及没有子结构的模型。通过在有限元模型中考虑局部阻尼效应，并将各部件在任意轴向位置的简化模型耦合起来，可以对机床在整个工作空间内的动态特性进行有效的分析和优化。
Virtual prototypes, e.g., finite element models, are commonly used to reduce the development times of a new machine tool generation. However, the accuracy of these models is often limited by their representation of damping effects and the possibility to efficiently simulate the dynamic behavior in different axis positions. This paper shows the changing local damping distribution within a single-axis machine tool configuration for different axis positions. Based on this investigation, an approach to accurately model the position-dependent dynamics, while keeping the calculation times small, is presented. The virtual model of the machine is divided in several substructures, which consider the local damping behavior of each dissipation source. The reduced mass, stiffness, and damping matrices are coupled in the desired machine position by using multipoint constraints, which are generated at the desired machine position after the reduction of the substructures. Four different approaches to apply multipoint constraints on reduced substructures are compared, followed by an investigation of their influencing parameters. The most promising approach is compared with a model without local damping representation as well as a model without substructuring. By considering the local damping effects within the finite element model and coupling the reduced models of each component in arbitrary axis positions, an efficient analysis and optimization of the dynamic behavior of a machine tool over the whole workspace can be conducted.