Biomechanical model of swimming rehabilitation after hip and knee surgery. (20th September 2019)

• Record Type: Journal Article
• Authors: Gojkovic, Zoran; Ivancevic, Tijana; Jovanovic, Bojan
• Is Part Of: Journal of biomechanics. Volume 94(2019)
• Page Start: 165
• Page End: 169
• Publication Date: 2019-09-20
• Subjects: Hip and knee rehabilitation -- Legs propulsion in swimming -- Kirchhoff-Lagrangian dynamics -- Numerical simulation; Animal mechanics -- Periodicals; Biomechanics -- Periodicals; Biomechanics -- Periodicals; Mécanique animale -- Périodiques; Biomécanique -- Périodiques; Electronic journals; 571.4305
• DOI: 10.1016/j.jbiomech.2019.07.035
• Languages: English
• ISSNs: 0021-9290

Abstract

Abstract: As a low-to-moderate intensity rehabilitation exercise after hip and knee surgery, we propose a dynamical model of the legs motion through the water medium in freestyle and backstroke swimming. We formulate a general Kirchhoff-Lagrangian dynamics model of the legs-propulsion through the water in post-surgical rehabilitation swimming. We start by defining the two-leg-propulsion configuration manifold. This is composed of eight Euclidean groups of rigid motions in 3D space for each of the four leg segments. Next, we define Newton-Euler dynamics for each segment. This single segmental dynamics is further generalized into Lagrangian dynamics for the whole leg-propulsion system. Finally, the water effects are added in the form of Kirchhoff's vector cross-products. In agreement with orthopaedic recommendations for post-surgical rehabilitation, numerical simulation is performed on a simplified version of the full Kirchhoff-Lagrangian dynamics model, which we call the "robotic swimming leg" – with intentionally reduced number of (microscopic, non-sagittal) degrees-of-freedom. The purpose of this development is both qualitative, for medical and physiotherapist practitioners to study, and quantitative, for biomechanics experts to analyze and further develop.