University of Nebraska at Omaha, Department of Biomechanics, Omaha, NE, USA.
University of Groningen, University Medical Center Groningen, Department of Human Movement Sciences, Groningen, the Netherlands; Department of Movement Sciences, KU Leuven, Leuven, Belgium.
J Biomech. 2024 Mar;166:112045. doi: 10.1016/j.jbiomech.2024.112045. Epub 2024 Mar 8.
The concept of the 'extrapolated center of mass (XcoM)', introduced by Hof et al., (2005, J. Biomechanics 38 (1), p. 1-8), extends the classical inverted pendulum model to dynamic situations. The vector quantity XcoM combines the center of mass position plus its velocity divided by the pendulum eigenfrequency. In this concept, the margin of stability (MoS), i.e., the minimum signed distance from the XcoM to the boundaries of the base of support was proposed as a measure of dynamic stability. Here we describe the conceptual evolution of the XcoM, discuss key considerations in the estimation of the XcoM and MoS, and provide a critical perspective on the interpretation of the MoS as a measure of instantaneous mechanical stability.
由 Hof 等人提出的“外推质心(XcoM)”概念,(2005 年,《生物力学杂志》38(1),第 1-8 页),将经典的倒立摆模型扩展到动态情况。向量量 XcoM 结合了质心位置加上其除以摆固有频率的速度。在这个概念中,稳定性裕度(MoS),即从 XcoM 到支撑基础边界的最小符号距离,被提出作为动态稳定性的度量。在这里,我们描述了 XcoM 的概念演变,讨论了估计 XcoM 和 MoS 的关键考虑因素,并对 MoS 作为瞬时机械稳定性的度量进行了批判性的解释。