Solusi numerik model gerak osilasi vertikal dan torsional pada jembatan gantung

Permata, Hendrik Widya, Kusumastuti, Ari and Juhari, Juhari (2021) Solusi numerik model gerak osilasi vertikal dan torsional pada jembatan gantung. Jurnal Riset Mahasiswa Matematika, 1 (1). pp. 1-13. ISSN 2808-4926

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Abstract

Vertical and torsional oscillatory motion models are models that describe the vertical oscillatory motion and torsional motion of a hanging rod. Vertical oscillatory motion is an up and down motion of an object that occurs repeatedly, and then at a certain time will stop or experience attenuation. Torsional motion is the angular vibration of an object undergoing rotation. The oscillatory and torsional motion models are basically a system of second-order differential equations. The purpose of this study was to determine the numerical solution of the vertical and torsional oscillatory motion models using the Adams-Bashforth-Moulton method of order four, five, and six. The vertical and torsional oscillatory motion models were first solved using the fifth-order Runge-Kutta-Fehlberg method to get an initial solution, then the model was solved using the fourth, fifth and sixth-order Adams-Bashforth-Moulton methods. The results of the numerical solution of each Adam-Bashforth-Moulton method were then tested with relative errors. The numerical simulation results of the vertical and torsional oscillation models show that the vertical oscillating motion and torsional motion are damped harmonic motions and the higher the order in the Adams-Bashforth-Moulton method, the faster the relative error will go to zero and vice versa.

Item Type:	Journal Article
Keywords:	oscillatory motion; torsional motion; Adams-Bashforth-Moulton method
Subjects:	01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified
Divisions:	Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User:	Juhari Juhari
Date Deposited:	29 Oct 2021 14:14

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