In musculoskeletal actuation systems, it is essential to understand and analyze the exten-sion and force patterns generated in the muscle-tendon units (MTUs) responsible for themotion of a phalange. This work proposes a systematically developed bond graph modelfor the muscle-tendon actuation system for the desired motion of the phalange of thehand. The phalange is represented by a cylindrical rigid body, actuated by four MTUsattached to it symmetrically. The MTU is based on Hill’s muscle model. The role of thecentral nervous system (CNS) that commands desired motions to the phalange is emulatedthrough a virtual domain in the model. The virtual domain decides the activation patternof MTUs. Accordingly, the MTUs apply forces on the phalange to achieve the desiredmotion. Simulation results for important motions such as flexion-extension, adduction-abduction, and circumduction show that the model effectively captures the dynamics ofthe musculoskeletal actuation system.
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Various methods are available to compute kinematics and dynamics in the case of spa-tial mechanisms. These methods are cumbersome and laborious for large and multibodyspatial mechanisms. The bond graph technique is a powerful alternative tool for mode-ling. A four-link closed-chain 3R2S (3Revolute 2Spherical) spatial mechanism stands outamong the other four-link closed-chain spatial mechanisms due to its ability to be used ina number of applications. The main aim of this paper is to compute the inverse kinematicsof the mechanism using the bond graph structure of the system. In this paper, modeling ofa four-link closed-chain 3R2S spatial mechanism has been conducted using a multibondgraph approach. Inverse kinematics of the spatial mechanism, under various applications,has been directly obtained from the bond graph modeling. MATLAB coding for simula-tion has been done directly from the multibond graph without explicitly deriving systemequations. The simulation results have been analyzed and discussed using various plots.
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