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Application of non-Gaussian closure to the nonstationary response of a duffing oscillator

โœ Scribed by Qiang Liu; Huw G. Davies

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
541 KB
Volume
23
Category
Article
ISSN
0020-7462

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๐Ÿ“œ SIMILAR VOLUMES

Control of the Duffing oscillator under
Control of the Duffing oscillator under non-Gaussian external excitation
โœ L. Socha; C. Proppe ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 228 KB

The problem of suboptimal linear feedback control laws with mean-square criteria for the linear oscillator and the Duffing oscillator under external non-Gaussian excitations is considered. The input process is modeled as a polynomial of a Gaussian process or as a renewal driven impulse process. To d

STATISTICAL LINEARIZATION OF THE DUFFING
STATISTICAL LINEARIZATION OF THE DUFFING OSCILLATOR UNDER NON-GAUSSIAN EXTERNAL EXCITATION
โœ C. SOBIECHOWSKI; L. SOCHA ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 187 KB

The Du$ng oscillator under external non-Gaussian excitations is investigated by means of statistical linearization. The input process is modelled as a polynomial of a Gaussian process or as a renewal-driven impulse process. Four criteria of statistical linearization are considered. The interarrival

Limiting phase trajectories and nonstati
Limiting phase trajectories and nonstationary resonance oscillations of the Duffing oscillator. Part 2. A dissipative oscillator
โœ L.I. Manevitch; A.S. Kovaleva; E.L. Manevitch; D.S. Shepelev ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 422 KB

This paper extends the concept of limiting phase trajectories (LPT) to systems with dissipation. The Duffing oscillator with linear dissipation and periodic excitation is studied. Under condition of 1:1 resonance, we obtain an approximate analytic solution describing two stages of motion: at the fir

RESPONSE OF A DUFFING OSCILLATOR TO COMB
RESPONSE OF A DUFFING OSCILLATOR TO COMBINED DETERMINISTIC HARMONIC AND RANDOM EXCITATION
โœ R. HAIWU; X. WEI; M. GUANG; F. TONG ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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