Free and Forced Vibrations of the Strongly Nonlinear Cubic-Quintic Duffing Oscillators.
Strongly nonlinear cubic-quintic Duffing oscillatoris considered. Approximate solutions are derived using the multiple scales Lindstedt Poincare method (MSLP), a relatively new method developed for strongly nonlinear oscillators. The free undamped oscillator is considered first. Approximate analytic...
| Publicado en: | Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 72; no. 1; pp. 59 - 70 |
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| Autores principales: | , |
| Formato: | Artículo |
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De Gruyter
Jan2017
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=120509207&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 120509207 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 09320784 FL07 jtl: Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences issn: 09320784 maglogo: N pubinfo: dt: Jan2017 vid: 72 iid: 1 pid: 1734 pub: De Gruyter artinfo: ui: 120509207 10.1515/zna-2016-0263 ppf: 59 ppct: 11 formats: tig: atl: Free and Forced Vibrations of the Strongly Nonlinear Cubic-Quintic Duffing Oscillators. aug: au: Karahan, M.M. Fatih Pakdemirli, Mehmet affil: Department of Mechanical Engineering, Celal Bayar University, Muradiye 45140, Manisa, Turkey su: Forced vibration (Mechanics) Free vibration Duffing oscillators Computer simulation Numerical solutions to differential equations sug: subj: Forced vibration (Mechanics) Free vibration Duffing oscillators Computer simulation Numerical solutions to differential equations keyword: Cubic-Quintic Duffing Oscillator Forced Vibrations Multiple Scales Lindstedt Poincare (MSLP) Method Multiple Scales Method Perturbation Methods Strongly Nonlinear Systems ab: Strongly nonlinear cubic-quintic Duffing oscillatoris considered. Approximate solutions are derived using the multiple scales Lindstedt Poincare method (MSLP), a relatively new method developed for strongly nonlinear oscillators. The free undamped oscillator is considered first. Approximate analytical solutions of the MSLP are contrasted with the classical multiple scales (MS) method and numerical simulations. It is found that contrary to the classical MS method, the MSLP can provide acceptable solutions for the case of strong nonlinearities. Next, the forced and damped case is treated. Frequency response curves of both the MS and MSLP methods are obtained and contrasted with the numerical solutions. The MSLP method and numerical simulations are in good agreement while there are discrepancies between the MS and numerical solutions. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2017 holdings: @attributes: islocal: N |
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