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MATHEMATICAL AND NUMERICAL STUDY OF THE DUFFING-HARMONIC OSCILLATOR

✍ Scribed by R.E. MICKENS

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
184 KB
Volume
244
Category
Article
ISSN
0022-460X

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πŸ“œ SIMILAR VOLUMES

RESPONSE OF A DUFFING OSCILLATOR TO COMB
RESPONSE OF A DUFFING OSCILLATOR TO COMBINED DETERMINISTIC HARMONIC AND RANDOM EXCITATION
✍ R. HAIWU; X. WEI; M. GUANG; F. TONG πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 230 KB

The response of Du$ng oscillator to combined deterministic harmonic and random excitation is investigated. The method of harmonic balance and the method of stochastic averaging are used to determine the response of the system. Theoretical analyses and numerical simulations show that when the intensi

A SIMPLE CRITERION FOR ESTABLISHING AN U
A SIMPLE CRITERION FOR ESTABLISHING AN UPPER LIMIT TO THE HARMONIC EXCITATION LEVEL OF THE DUFFING OSCILLATOR USING THE VOLTERRA SERIES
✍ G.R. Tomlinson; G. Manson; G.M. Lee πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 450 KB

Higher order frequency response functions, based on the Volterra series, are employed to represent the input-output characteristics of the Duffing oscillator subject to sinusoidal excitation. From these a series representation of a first order frequency response function of the non-linear system is

AN ANALYTICAL AND NUMERICAL STUDY OF A M
AN ANALYTICAL AND NUMERICAL STUDY OF A MODIFIED VAN DER POL OSCILLATOR
✍ E.J. DOEDEL; E. FREIRE; E. GAMERO; A.J. RODRÍGUEZ-LUIS πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 251 KB

A three-dimensional system of di!erential equations that models an electronic oscillator is considered. The equations allow a variety of periodic orbits that originate from a degenerate Hopf bifurcation, which is analytically studied. Numerical results are presented that show the existence of saddle

HARMONIC BALANCE AND CONTINUATION TECHNI
HARMONIC BALANCE AND CONTINUATION TECHNIQUES IN THE DYNAMIC ANALYSIS OF DUFFING'S EQUATION
✍ K.B. Blair; C.M. Krousgrill; T.N. Farris πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 228 KB

Duffing's equation with a negative linear stiffness is investigated. A harmonic balance technique coupled with a continuation scheme is utilized to trace the system response to changes in the magnitude of the applied harmonic forcing. With the aid of Floquet theory, the stability of the resulting so