Schiebl Jonas, Elsner Nawid, Birchinger Paul, Aschenbrenner Jonas, Maufroy Christophe, Tröster Mark, Schneider Urs, Bauernhansl Thomas
Fraunhofer Institute for Manufacturing Engineering and Automation IPA, 70569 Stuttgart, Germany.
Institute of Industrial Manufacturing and Management IFF, University of Stuttgart, 70569 Stuttgart, Germany.
Sensors (Basel). 2025 Jul 25;25(15):4605. doi: 10.3390/s25154605.
Exoskeletons transfer loads to the human body via physical human-exoskeleton interfaces (pHEI). However, the human-exoskeleton interaction remains poorly understood, and the mechanical properties of the pHEI are not well characterized. Therefore, we present a novel methodology to precisely characterize pHEI interaction stiffnesses under various loading conditions. Forces and torques were applied in three orthogonal axes to the upper arm pHEI of 21 subjects using an electromechanical apparatus. Interaction loads and displacements were measured, and stiffness data were derived as well as mathematically described using linear and non-linear regression models, yielding all the diagonal elements of the stiffness tensor. We find that the non-linear nature of pHEI stiffness is best described using exponential functions, though we also provide linear approximations for simplified modeling. We identify statistically significant differences between loading conditions and report median translational stiffnesses between 2.1 N/mm along and 4.5 N/mm perpendicular to the arm axis, as well as rotational stiffnesses of 0.2 N·m/° perpendicular to the arm, while rotations around the longitudinal axis are almost an order of magnitude smaller (0.03 N·m/°). The resulting stiffness models are suitable for use in digital human-exoskeleton models, potentially leading to more accurate estimations of biomechanical efficacy and discomfort of exoskeletons.
外骨骼通过人体与外骨骼物理接口(pHEI)将负荷传递到人体。然而,人体与外骨骼之间的相互作用仍未得到充分理解,且pHEI的力学特性也未得到很好的表征。因此,我们提出了一种新颖的方法,用于精确表征在各种加载条件下pHEI的相互作用刚度。使用机电设备在三个正交轴向上对21名受试者的上臂pHEI施加力和扭矩。测量相互作用负荷和位移,并推导刚度数据,同时使用线性和非线性回归模型进行数学描述,得出刚度张量的所有对角元素。我们发现,pHEI刚度的非线性特性用指数函数描述最为合适,不过我们也提供了用于简化建模的线性近似。我们确定了加载条件之间具有统计学意义的差异,并报告了沿手臂轴线方向的平移刚度中位数为2.1 N/mm,垂直于手臂轴线方向为4.5 N/mm,以及垂直于手臂的旋转刚度为0.2 N·m/°,而绕纵轴的旋转刚度几乎小一个数量级(0.03 N·m/°)。所得的刚度模型适用于数字人体-外骨骼模型,可能会更准确地估计外骨骼的生物力学效能和不适感。