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了解身体进行不同活动时肌肉收缩力有多大是很有意义的,可是这些数据很难由活体测量得到。本文则根据描述肌肉骨骼系统的生物力学模型,采用一种新颖格式的线性规划法来计算肌肉的收缩力。由于肌肉的根数多于关节的自由度数,大多数这种计算属静不定问题,因此必须用最优化技术来求解。本文采用两个顺序的线性规划来解一个双目标问题,使得肌肉负载强度和关节的压缩力这两个最常用的目标项达到极小值。这种双线性规划法具有计算费用低廉、易于在微机上实现以及数值解稳定等优点。文中举了一个简单的例子,说明如何求得
It makes sense to know how much muscle contractility the body performs for different activities, but these data are hard to measure by living organisms. Based on the biomechanical model describing the musculoskeletal system, this paper uses a novel format of linear programming to calculate muscle contractility. Since the number of muscles is greater than the number of degrees of freedom in the joints, most of this calculation is a matter of uncertainty and must therefore be solved using optimization techniques. In this paper, two sequential linear programs are used to solve a bi-objective problem, which minimizes the two most commonly used target items, muscle load intensity and joint compression force. The bilinear programming method has the advantages of low computational cost, easy to implement on the computer and numerical stability. The article cites a simple example of how to find