Working on issues of walking of anthropomorphic mechanisms, the author had to meet a problem of simulation of mobile articulations of kinematic links of devices, in the form of multilayer elements [1-4]. This research was conducted by a trial-and-error way. However, in the process of models complication the need of their theoretical description arose. The stuff set forth in the given article, is a theoretical generalization of models of a hip joint modelled with a different degree of accuracy, with allowance for its structure being multilayer and multicomponent [5-11]. Thus the solution of the given problem has an independent nature and can be applied to the description of any multilayer structures in compliance with the suppositions, used in the given model. Further on, being set the concrete values of the number of the spheres, it is possible to receive particular solutions. Each solution for a definite model is complete and they can be directly used performing calculations in actual situations arising in practice.
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