Riener R, Edrich T
Institute of Automatic Control Engineering, Technical University of Munich, Germany.
J Biomech. 1999 May;32(5):539-44. doi: 10.1016/s0021-9290(99)00009-3.
Musculotendon actuators produce active and passive moments at the joints they span. Due to the existence of bi-articular muscles, the passive elastic joint moments are influenced by the angular positions of adjacent joints. To obtain quantitative information about this passive elastic coupling between lower limb joints, we examined the passive elastic joint properties of the hip, knee, and ankle joint of ten healthy subjects. Passive elastic joint moments were found to considerably depend on the adjacent joint angles. We present a simple mathematical model that describes these properties on the basis of a double-exponential expression. The model can be implemented in biomechanical models of the lower extremities, which are generally used for the simulation of multi-joint movements such as standing-up, walking, running, or jumping.
肌肉肌腱驱动装置在其跨越的关节处产生主动和被动力矩。由于双关节肌肉的存在，被动弹性关节力矩会受到相邻关节角位置的影响。为了获取有关下肢关节之间这种被动弹性耦合的定量信息，我们研究了10名健康受试者的髋、膝和踝关节的被动弹性关节特性。发现被动弹性关节力矩在很大程度上取决于相邻关节的角度。我们提出了一个基于双指数表达式描述这些特性的简单数学模型。该模型可在下肢生物力学模型中实现，这些模型通常用于模拟诸如站立、行走、跑步或跳跃等多关节运动。
