Modeling and simulation of the vibration behavior of hand-arm systems for six excitation directions in the context of user-centered product development.

以下提案是DFG资助的正在进行的研究项目“以用户为中心的产品开发背景下手臂系统旋转振动行为的确定”（资助号：408254169，以下简称DFG项目408254169）的延续提案。该方案的重点是通过虚拟模型从机械阻抗的角度模拟人体手臂系统的振动特性。根据DIN 45677和ISO 10068在研究状态中描述的手臂模型仅指平移振动激励。对于旋转振动激励，目前还没有相应的模型。此外，现有的手臂模型仅针对一定的力范围设计，无法利用这些模型模拟不同耦合力对阻抗的影响。因此，本研究项目旨在对现有的手臂模型进行扩展，建立旋转振动激励模型，并模拟旋转和平移模型中耦合力对阻抗的影响。为了实现这一目标，研究项目将建立一个由六个独立模型组成的整体模型。单独的模型是基于DIN 45677中描述的三质量振荡器，从中推导出等效的旋转振动模型。对于平移和旋转振动激励，这导致每个空间方向（x, y, z）有一个模型，从而导致总共六个单独的模型。每个单独的模型都应该能够模拟阻抗作为耦合力在10-100 n范围内的函数。单个模型的刚度、阻尼和质量参数作为夹持力和压力的函数来实现。函数的实现将由从课题研究中收集的实验数据的数值插值来确定。DFG项目408254169中记录的各种耦合力的阻抗曲线将构成本插值的基础。由于函数的数值插值需要大量的数据，因此将在拟议的项目中进行额外的主题研究。这样，就产生了在不同耦合力下测量阻抗的数据池。该数据池为通过数值插值进一步优化耦合力相关的刚度、阻尼和质量函数奠定了基础。为了成功验证，目标是每个空间方向（x, y, z）和每个激励模式（平移，旋转）的模拟阻抗都在标准偏差和实验确定的阻抗范围内。

The following proposal is designed as a continuation proposal of the ongoing DFG-funded research project Determination of the rotational vibration behavior of hand-arm systems in the context of user-centered product development (funding number: 408254169 hereinafter referred to as DFG project 408254169). The proposal focuses on simulating the vibration characteristics of the human hand-arm system, in terms of mechanical impedance, through virtual models. The hand-arm models according to DIN 45677 and ISO 10068 described in the state of research refer exclusively to translational vibration excitations. For rotational vibration excitations, no corresponding models exist so far. Furthermore, existing hand-arm models are only designed for a certain force range, it is not possible to simulate the effect of different coupling forces on the impedance using these models Accordingly, the research project aims to extend the existing hand-arm models with a model for rotational vibration excitations and to simulate the effect of the coupling forces on the impedance for both the rotational and the translational models. To achieve this aim, an overall model consisting of six individual models will be built in the research project. The individual models are based on the three-mass oscillator described in DIN 45677, from which an equivalent rotational vibration model is derived. For the translational and rotational vibration excitation, this results in one model per spatial direction (x, y, z), which leads to a total of six individual models. Each of these individual models should be capable of simulating the impedance as a function of the coupling forces in the range of 10-100 N. The stiffness, damping, and mass parameters of the individual models are implemented as functions of the gripping and pressing forces. The implementation of the functions will be determined by numerical interpolation of the experimentally collected data from subject studies. The impedance curves from the DFG project 408254169, which were recorded for various coupling forces will form the basis for this Interpolation. Since an extensive amount of data is required for the numerical interpolation of the functions, additional subject studies will be conducted in the proposed project. Thus, a data pool with impedances measured at different coupling forces is generated. This data pool forms the basis for further optimization of the coupling force-dependent stiffness, damping, and mass functions through numerical interpolation. For a successful validation, it is aimed that the simulated impedance in each spatial direction (x, y, z) and for each excitation mode (translational, rotational) is within the standard deviation and experimentally determined impedance.