Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/8594
DC Field | Value | Language |
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dc.contributor.author | Kovačić, Ivana | en |
dc.date.accessioned | 2019-09-30T09:09:46Z | - |
dc.date.available | 2019-09-30T09:09:46Z | - |
dc.date.issued | 2013-10-28 | en |
dc.identifier.isbn | 9783037858776 | en |
dc.identifier.issn | 16609336 | en |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/8594 | - |
dc.description.abstract | This work is concerned with single-degree-of-freedom conservative nonlinear oscillators that have a fixed restoring force that comprises a linear term and an odd-powered nonlinear term with an arbitrary magnitude of the coefficient of nonlinearity. There are two cases of interest: i) nonisochronous, when the system has an amplitude-dependent frequency and ii) isochronous, when the frequency of oscillations is constant (amplitude-independent). The first case is associated with the constant coefficient of the kinetic energy, while the frequency-amplitude relationship and the solution for motion need to be found. To that end, the equation of motion is solved by introducing a new small expansion parameter and by adjusting the Lindstedt-Poincare method. In the second case, the condition for the frequency of oscillations to be constant is derived in terms of the expression for the position-dependent coefficient of the kinetic energy. The corresponding solution for isochronous oscillations is obtained. Numerical verifications of the analytical results are also presented. © (2013) Trans Tech Publications, Switzerland. | en |
dc.relation.ispartof | Applied Mechanics and Materials | en |
dc.title | Nonlinear oscillators with a power-form restoring force: Non-isochronous and isochronous case | en |
dc.type | Conference Paper | en |
dc.identifier.doi | 10.4028/www.scientific.net/AMM.430.14 | en |
dc.identifier.scopus | 2-s2.0-84886075066 | en |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/84886075066 | en |
dc.relation.lastpage | 21 | en |
dc.relation.firstpage | 14 | en |
dc.relation.volume | 430 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Fakultet tehničkih nauka, Departman za mehanizaciju i konstrukciono mašinstvo | - |
crisitem.author.parentorg | Fakultet tehničkih nauka | - |
Appears in Collections: | FTN Publikacije/Publications |
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