Approximate Solution for the Duffing-Harmonic Oscillator by the Enhanced Cubication Method. (24th September 2012)

• Record Type: Journal Article
• Authors: Elías-Zúñiga, Alex; Martínez-Romero, Oscar; Córdoba-Díaz, René K.
• Other Names: Martinez-Guerra Rafael Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2012(2012)
• Publication Date: 2012-09-24
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2012/618750
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The cubication and the equivalent nonlinearization methods are used to replace the original Duffing-harmonic oscillator by an approximate Duffing equation in which the coefficients for the linear and cubic terms depend on the initial oscillation amplitude. It is shown that this procedure leads to angular frequency values with a maximum relative error of 0.055%. This value is 21% lower than the relative errors attained by previously developed approximate solutions.