File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1006/jsvi.1994.1294
- Scopus: eid_2-s2.0-0028466109
- WOS: WOS:A1994NY35600009
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Averaging Method Using Generalized Harmonic Functions For Strongly Non-Linear Oscillators
Title | Averaging Method Using Generalized Harmonic Functions For Strongly Non-Linear Oscillators |
---|---|
Authors | |
Issue Date | 1994 |
Publisher | Elsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi |
Citation | Journal Of Sound And Vibration, 1994, v. 174 n. 4, p. 563-576 How to Cite? |
Abstract | An averaging method in which generalized harmonic functions are used is applied to study the approximate solutions of the strongly non-linear oscillators ẍ + g(x) = εf{hook}(x, ẋ) and ẍ + g(x) = εF(x, ẋ, Ωt), where g(x) is an arbitrary non-linear function. The method gives the approximate solutions in terms of generalized harmonic functions. These functions are also periodic and are exact solutions of strongly non-linear differential equations. Some phenomena considered include limit cycles of strongly non-linear autonomous oscillators and steady state response of strongly non-linear oscillators subject to weak harmonic excitation. The procedure is simple and easy to apply. © 1994 Academic Press. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/71253 |
ISSN | 2023 Impact Factor: 4.3 2023 SCImago Journal Rankings: 1.225 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Xu, Z | en_HK |
dc.contributor.author | Cheung, YK | en_HK |
dc.date.accessioned | 2010-09-06T06:30:18Z | - |
dc.date.available | 2010-09-06T06:30:18Z | - |
dc.date.issued | 1994 | en_HK |
dc.identifier.citation | Journal Of Sound And Vibration, 1994, v. 174 n. 4, p. 563-576 | en_HK |
dc.identifier.issn | 0022-460X | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/71253 | - |
dc.description.abstract | An averaging method in which generalized harmonic functions are used is applied to study the approximate solutions of the strongly non-linear oscillators ẍ + g(x) = εf{hook}(x, ẋ) and ẍ + g(x) = εF(x, ẋ, Ωt), where g(x) is an arbitrary non-linear function. The method gives the approximate solutions in terms of generalized harmonic functions. These functions are also periodic and are exact solutions of strongly non-linear differential equations. Some phenomena considered include limit cycles of strongly non-linear autonomous oscillators and steady state response of strongly non-linear oscillators subject to weak harmonic excitation. The procedure is simple and easy to apply. © 1994 Academic Press. All rights reserved. | en_HK |
dc.language | eng | en_HK |
dc.publisher | Elsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi | en_HK |
dc.relation.ispartof | Journal of Sound and Vibration | en_HK |
dc.title | Averaging Method Using Generalized Harmonic Functions For Strongly Non-Linear Oscillators | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-460X&volume=174&spage=563&epage=576&date=1994&atitle=Averaging+method+using+generalized+harmonic+functions+for+strongly+non-linear+oscillators | en_HK |
dc.identifier.email | Cheung, YK:hreccyk@hkucc.hku.hk | en_HK |
dc.identifier.authority | Cheung, YK=rp00104 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1006/jsvi.1994.1294 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0028466109 | en_HK |
dc.identifier.hkuros | 1200 | en_HK |
dc.identifier.volume | 174 | en_HK |
dc.identifier.issue | 4 | en_HK |
dc.identifier.spage | 563 | en_HK |
dc.identifier.epage | 576 | en_HK |
dc.identifier.isi | WOS:A1994NY35600009 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Xu, Z=8925299600 | en_HK |
dc.identifier.scopusauthorid | Cheung, YK=7202111065 | en_HK |
dc.identifier.issnl | 0022-460X | - |