Static Kirchhoff Rods under the Action of External Forces: Integration via Runge-Kutta Method. (9th January 2014)

• Record Type: Journal Article
• Authors: Xavier Jr., Ademir L.
• Other Names: Rosales Marta B. Academic Editor.
• Is Part Of: Journal of computational methods in physics. Volume 2014(2014)
• Publication Date: 2014-01-09
• Subjects: Physics -- Data processing -- Periodicals; Mathematical physics -- Data processing -- Periodicals; Mathematical physics -- Data processing; Physics -- Data processing; Electronic journals; Periodicals; Electronic journals; 530.0285
• DOI: 10.1155/2014/650365
• Languages: English
• ISSNs: 2356-7287

Abstract

Abstract : This paper shows how to apply a simple Runge-Kutta algorithm to get solutions of Kirchhoff equations for static filaments subjected to arbitrary external and static forces. This is done by suitably integrating at once Kirchhoff and filament reference system equations under appropriate initial boundary conditions. To show the application of the method, we display several numerical solutions for filaments including cases showing the effect of gravity.