Third-Order Muscle Models: The Role of Oscillatory Behavior In Force Control.

摘要: This paper presents the analysis of a third-order linear differential equation representing muscle-tendon system, including identification critical damping conditions. We analytically verified that this model is required for faithful representation muscle-skeletal muscles and provided numerical examples using biomechanical properties tendon reported in literature. proved existence theoretical threshold ratio between muscle stiffness above which can never be achieved, thus resulting an oscillatory free response independently value damping. Oscillation limb compensated only by active control, requires creating internal mechanics. demonstrated that, when admissible, over-damping system occurs values included within finite interval two separate limits. The same semi-infinite region second-order models. Moreover, increase beyond second point rapidly brings to mechanical instability.