EconPapers    
Economics at your fingertips  
 

Energy Method to Obtain Approximate Solutions of Strongly Nonlinear Oscillators

Alex Elías-Zúñiga and Oscar Martínez-Romero

Mathematical Problems in Engineering, 2013, vol. 2013, 1-7

Abstract:

We introduce a nonlinearization procedure that replaces the system potential energy by an equivalent representation form that is used to derive analytical solutions of strongly nonlinear conservative oscillators. We illustrate the applicability of this method by finding the approximate solutions of two strongly nonlinear oscillators and show that this procedure provides solutions that follow well the numerical integration solutions of the corresponding equations of motion.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2013/620591.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2013/620591.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:620591

DOI: 10.1155/2013/620591

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().

 
Page updated 2025-03-19
Handle: RePEc:hin:jnlmpe:620591