Semi-Analytical Solution for Nonlinear Maglev Oscillation using the Lindstedt's Perturbation Method

7 Pages Posted: 14 Jul 2018

See all articles by Galih Bangga

Galih Bangga

University of Stuttgart

Felicia Januarlia Novita

National Taiwan University of Science and Technology

Ahmad Basshofi Habieb

Polytechnic University of Milan

Arif Luqman

University of Tuebingen

Date Written: May 26, 2018

Abstract

This paper focuses on the development of an approach for solving nonlinear mechanical maglev oscillation systems. The original physical information included in the governing equations is mostly transferred into analytical and numerical solutions. The analytical method based on the Lindstedt’s perturbation method is used and compared to general numerical solution using the direct Runge-Kutta integration. General procedures for nonlinear oscillation problems are formulated in detail for allocation in the dynamic analysis. Nonlinear oscillation systems with cubic nonlinearities are solved to demonstrate the applications of the present approach. The works reveal that the employed analytical solution can be used for the nonlinear analysis as good as the numerical Runge-Kutta method. The studies also provide an explanation on the behavior of the oscillation system with high nonlinearity. The secondary amplitudes of the higher nonlinearities only occur at the minimum/maximum amplitude of the systems with small or no nonlinearities.

Keywords: Energy Efficiency; Maglev; Nonlinear Oscillation; Numerical Methods; Perturbation

Suggested Citation

Bangga, Galih and Novita, Felicia Januarlia and Habieb, Ahmad Basshofi and Luqman, Arif, Semi-Analytical Solution for Nonlinear Maglev Oscillation using the Lindstedt's Perturbation Method (May 26, 2018). 3rd International Conference of Integrated Intellectual Community (ICONIC) 2018. Available at SSRN: https://ssrn.com/abstract=3201167 or http://dx.doi.org/10.2139/ssrn.3201167

Galih Bangga (Contact Author)

University of Stuttgart ( email )

Keplerstraße 17
D-70174 Stuttgart
Germany

Felicia Januarlia Novita

National Taiwan University of Science and Technology ( email )

Keelung Road
Sec 43
Taipei
Taiwan

Ahmad Basshofi Habieb

Polytechnic University of Milan ( email )

Piazza Leonardo da Vinci
Milan, Milano 20100
Italy

Arif Luqman

University of Tuebingen ( email )

Wilhelmstr. 19
72074 Tuebingen, Baden Wuerttemberg 72074
Germany

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