Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation

This paper applies the quasi hyperbolic function expansion method and the modified extended tanh-function method to exactly solve the nonlinear vibrating string equation and the elastic rod equation. The obtained exact solutions can be expressed by hyperbolic functions, which can outline various vib...

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Bibliographic Details
Main Author:	Yi Tian
Format:	Article
Language:	English
Published:	SAGE Publishing 2019-12-01
Series:	Journal of Low Frequency Noise, Vibration and Active Control
Online Access:	https://doi.org/10.1177/1461348419827194

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record_format	Article
spelling	doaj-b5786a9bf15c4027b180df4d4533e0932020-11-25T03:49:37ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462019-12-013810.1177/1461348419827194Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equationYi TianThis paper applies the quasi hyperbolic function expansion method and the modified extended tanh-function method to exactly solve the nonlinear vibrating string equation and the elastic rod equation. The obtained exact solutions can be expressed by hyperbolic functions, which can outline various vibration properties.https://doi.org/10.1177/1461348419827194
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yi Tian
spellingShingle	Yi Tian Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation Journal of Low Frequency Noise, Vibration and Active Control
author_facet	Yi Tian
author_sort	Yi Tian
title	Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation
title_short	Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation
title_full	Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation
title_fullStr	Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation
title_full_unstemmed	Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation
title_sort	quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation
publisher	SAGE Publishing
series	Journal of Low Frequency Noise, Vibration and Active Control
issn	1461-3484 2048-4046
publishDate	2019-12-01
description	This paper applies the quasi hyperbolic function expansion method and the modified extended tanh-function method to exactly solve the nonlinear vibrating string equation and the elastic rod equation. The obtained exact solutions can be expressed by hyperbolic functions, which can outline various vibration properties.
url	https://doi.org/10.1177/1461348419827194
work_keys_str_mv	AT yitian quasihyperbolicfunctionexpansionmethodandtanhfunctionmethodforsolvingvibratingstringequationandelasticrodequation
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Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation

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