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Elastic-plastic torsion problem with non-linear hardenings using the method of fundamental solution

Moayyedian Farzad, Grabski Jakub Krzysztof

Archives of Civil and Mechanical Engineering

2021

Vol. 21, no. 4

334--354

In the current research, a torsion of isotropic prismatic rods with elastic–plastic behavior under non-linear hardening behavior, such as Swift, Voce, and Ramberg-Osgood relations, is investigated with the method of fundamental solutions. Based on the Saint-Venant displacement assumption and deformation theory of plasticity for the stress-strain relation, the non-linear boundary value problem for the stress function is formulated. The purpose of the current research is study the elastic–plastic torsion problem with non-linear hardenings in a new simple form and solving the presented equations with the method of fundamental solutions and radial basis functions. The non-linear torsion problem is solved by means of the Picard iteration method. The proposed algorithm is based on solution of the linear Poisson equation at each iteration step.

Assessment of the functional movement screen test with the use of motion capture system by the example of trunk stability push-up exercise among adolescent female football players

Mrozek Agata, Sopa Martyna, Myszkowski Jakub, Bakiera Aleksandra, Budzisz Piotr, Kuliberda Agata, Białecka Martyna, Walczak Tomasz, Grabski Jakub Krzysztof, Grygorowicz Monika

Vibrations in Physical Systems

2020

Vol. 31, nr 2

art. no. 2020220

The paper presents the application of the BTS motion capture system to verify the FMS test assessment. The research group consisted of adolescent female football players who underwent standard FMS assessment by a physiotherapist. In order to objectify the physical performance assessment, a mechanical model was proposed, on the basis of which the parameters supporting the evaluation of the test were defined. The example of the analysis of one of the exercises (push-ups) presented in the paper showed that even the players who obtained the highest marks in the test do not always perform the exercises flawlessly, which is a consequence of subjective assessment made by specialists. The use of a motion capture system together with an appropriate biomechanical model allows for a much more objective assessment of the physical performance and detecting any dysfunction of the movement apparatus of the examined persons.