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Exact analytical solutions for forced undamped duffing oscillator
Publikationstyp
Journal Article
Date Issued
2016-06-22
Sprache
English
Author(s)
Starossek, Uwe
Institut
TORE-URI
Volume
85
Start Page
197
End Page
206
Citation
International Journal of Non-Linear Mechanics (85): 197-206 (2016-10-01)
Publisher DOI
Scopus ID
Publisher
Elsevier Science
The steady-state response of an undamped Duffing oscillator to periodic external forces is studied. The forcing functions are chosen such that the time course of the displacement can be described by exact analytical expressions. The displacement and forcing functions are governed by Jacobi elliptic functions and thus are periodic but generally non-harmonic. The parameter of the elliptic functions is deliberately chosen. For certain parameter choices, exact analytical expressions are found for the frequency–amplitude relation.
Subjects
Exact analytical frequency–amplitude relation
Jacobi elliptic functions
Non-harmonic periodic loading
Nonlinear oscillator
DDC Class
720: Architektur