Simkin A, Leichter I
Department of Orthopaedic Surgery, Hadassah University Hospital, Jerusalem, Israel.
Med Biol Eng Comput. 1990 Mar;28(2):149-52. doi: 10.1007/BF02441770.
The energy storage capacity of the human foot as a passive structure depends on both its geometry and elastic properties. The present study examines theoretically the relationship between the energy stored in the longitudinal arch and the inclination of the calcaneus, when a vertical load is applied. A simple two-dimensional model was used, consisting of two inclined rigid elements, hinged at the apex of the arch and connected by a horizontal tension spring at the bottom of the arch. The spring serves as the energy-storing element of the model, representing the foot plantar ligaments. The behaviour of the model was examined using both a linear and an exponential spring. It demonstrated that the stored energy depends strongly on the calcaneal inclination. For a given vertical load, the energy storage capacity is low at both large and small inclinations and rises markedly at an intermediate value. Assuming that the incidence of stress fractures during locomotion is affected by insufficient energy attenuation of the foot, this model provides an explanation for the higher prevalence of tibial and femoral stress fractures in subjects with high or low arches.
作为一种被动结构,人脚的能量储存能力取决于其几何形状和弹性特性。本研究从理论上考察了施加垂直载荷时,纵向足弓储存的能量与跟骨倾斜度之间的关系。采用了一个简单的二维模型,该模型由两个倾斜的刚性元件组成,在足弓顶点处铰接,并在足弓底部通过一个水平拉伸弹簧连接。该弹簧作为模型的能量储存元件,代表足底韧带。使用线性弹簧和指数弹簧对模型的行为进行了研究。结果表明,储存的能量强烈依赖于跟骨倾斜度。对于给定的垂直载荷,在倾斜度较大和较小时能量储存能力都较低,而在中间值时显著上升。假设运动过程中应力性骨折的发生率受足部能量衰减不足的影响,该模型为高弓足或低弓足受试者中胫骨和股骨应力性骨折的较高患病率提供了解释。