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The talocrural and the talocalcaneal articulations collectively form the ankle joint complex of the human foot and are the focus of investigation of this work. The talocrural articulation enables plantarflexion and dorsiflexion, while the talocalcaneal articulation allows inversion and eversion of the foot. A comprehensive analysis of the literature suggests that the ankle joint complex is modeled in different manners considering approaches with varying complexity levels, which more or less accurately mimic its intrinsic anatomical features. Several studies assume that the foot articulates with the leg via the talocrural articulation only, which is modeled as a revolute joint. Other studies consider the movements allowed by both articulations and model the ankle joint complex as spherical, revolute, or classical universal joints. Most existing approaches do not consider sufficiently accurate anatomical modeling of this joint complex. Thus, this work presents a new skeletal model for the ankle joint complex of the human foot that considers the actual anatomy and movements of the talocrural and the talocalcaneal articulations. The proposed approach uses a modified universal joint, which incorporates a massless link to mimic the actual function of the talus bone. The developed formulation is compared with a model available in the literature, which uses a classical universal joint. The outcomes show that modeling the ankle joint complex as a modified universal joint allows a more realistic representation of the anatomy of the human foot. The main differences between the two joint models are observed in the mediolateral direction.
The talocrural and the talocalcaneal articulations collectively form the ankle joint complex of the human foot and are the focus of investigation of this work. The talocrural articulation enables plantarflexion and dorsiflexion, while the talocalcaneal articulation allows inversion and eversion of the foot. A comprehensive analysis of the literature suggests that the ankle joint complex is modeled in different manners considering approaches with varying complexity levels, which more or less accurately mimic its intrinsic anatomical features. Several studies assume that the foot articulates with the leg via the talocrural articulation only, which is modeled as a revolute joint. Other studies consider the movements allowed by both articulations and model the ankle joint complex as spherical, revolute, or classical universal joints. Most existing approaches do not consider sufficiently accurate anatomical modeling of this joint complex. Thus, this work presents a new skeletal model for the ankle joint complex of the human foot that considers the actual anatomy and movements of the talocrural and the talocalcaneal articulations. The proposed approach uses a modified universal joint, which incorporates a massless link to mimic the actual function of the talus bone. The developed formulation is compared with a model available in the literature, which uses a classical universal joint. The outcomes show that modeling the ankle joint complex as a modified universal joint allows a more realistic representation of the anatomy of the human foot. The main differences between the two joint models are observed in the mediolateral direction.
Joints with rotational degrees of freedom, for instance, revolute, spherical, or universal joints, are commonly utilized in real-world scenarios. In the multibody systems methodology, mechanical joints usually are formulated as classical kinematic constraints such that there is no restriction of the range of motion (RoM) of the joint. Thus, the formulation must include additional restrictions to prevent the joints from performing unacceptable movements and to avoid unrealistic configurations of the connected bodies. Therefore, the aim of this work is to propose a methodology to restrict the RoM of mechanical joints. Joint resistance moments are applied to the bodies connected by the joint to mimic the dissipative behavior of the materials constituent of joints and to prevent unacceptable configurations of those bodies. The proposed methodology aims to extend and improve a previously published study, specifically in the definition of the RoM limits, calculation of the penalty moments, and establishment of their direction of application. Enhanced methods to deal with the detection of unacceptable joint configurations, namely the elliptical and polynomial approaches, are proposed. A parametrization procedure is described to correctly calculate the direction of the penalty moments to apply to the connected bodies. The methodology is investigated in the dynamic modeling and simulation of one demonstrative example of application, namely a simple pendulum. A parametric analysis is performed to assess the influence of the methodology parameters in the response of the model. The methodology allows the correct restriction of the RoM of joints, while preserving the mechanical energy of the system.
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