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

• Applicant: Professor Dr.-Ing. Sven Matthiesen
• Subject Area: Engineering Design, Machine Elements, Product Development
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 527244581

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.

• DFG Programme: Research Grants