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2016, vol. 10, iss. 1, pp. 116-134
Exact solutions for the response of purely nonlinear oscillators: Overview
University of Novi Sad, Faculty of Technical Science,
Multiscale Methods and Their Applicatios in Nanomedicine (MESTD - 174028)

Keywords: purely nonlinear oscillators; free response; forced response; Ateb functions; Jacobi elliptic functions
This article provides an overview of the exact closed-form solutions for purely nonlinear oscillators. These solutions comprise the period of vibration and free and forced responses for one-degree-of-freedom systems. The use of special function for this purpose is demonstrated which includes: beta function, gamma function, hypergeometric function, Ateb function, Jacobi amplitude and Jacobi elliptic function.
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article language: English
document type: unclassified
DOI: 10.5937/jsscm1601116C
published in SCIndeks: 25/03/2017

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