Energy Method to Obtain Approximate Solutions of Strongly Nonlinear Oscillators
2013 ◽
Vol 2013
◽
pp. 1-7
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Keyword(s):
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.
2013 ◽
Vol 05
(10)
◽
pp. 388-392
2014 ◽
Vol 2014
◽
pp. 1-14
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2017 ◽
Vol 72
(1)
◽
pp. 59-69
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1998 ◽
Vol 9
(2)
◽
pp. 187-194
1985 ◽
Vol 6
(5)
◽
pp. 409-415
◽