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General perturbational solution of the harmonically forced duffing equation

✍ Scribed by Raimond A. Struble; Steve M. Yionoulis

Publisher: Springer
Year: 1962
Tongue: English
Weight: 822 KB
Volume: 9
Category: Article
ISSN: 0003-9527
DOI: 10.1007/bf00253364

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📜 SIMILAR VOLUMES

General perturbational solution of a har

General perturbational solution of a harmonically forced non-linear oscillator equation

✍ M.M. Stanišić; J.A. Euler 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 616 KB

Hybrid-Galerkin perturbation method for

Hybrid-Galerkin perturbation method for forced oscillations of the Duffing equation

✍ Robert J. Telban; James F. Geer; James M. Pitarresi 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 298 KB

Perturbation approximations with the "small" coefficient e are developed for the Duffing equation ij + 2&plJ + w:lJ + calJ3 = &F sin Ot, e>O, by the method of multiple time scales. Solutions are generated for the problem of nonresonant excitation (n not near w,) and for the problem of resonant excit

Solvability of the Forced Duffing Equati

Solvability of the Forced Duffing Equation at Resonance

✍ Chun-Lei Tang 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 161 KB

Some existence theorems are obtained for periodic solutions of the forced Duffing equation at resonance by the minimax methods.

ANALYTICAL SOLUTION OF THE FORCED DUFFIN

ANALYTICAL SOLUTION OF THE FORCED DUFFING'S OSCILLATOR

✍ M.I. Qaisi 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 335 KB

This paper presents an analytical approach based on the power series method for determining the periodic solutions of the forced undamped Duffing's oscillator. The time variable is first transformed into a new harmonically oscillating time which transforms the governing differential equation into a

The Lower Bounds of T-Periodic Solutions

The Lower Bounds of T-Periodic Solutions for the Forced Duffing Equation

✍ Chengwen Wang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 98 KB

This paper is devoted to the discussion of the number of T -periodic solutions for the forced Duffing equation, x + kx + g t x = s 1 + h t , with g t x being a continuous function by using the degree theory, upper and lower solutions method, and the twisting theorem.

Solution of a Duffing-harmonic oscillato

Solution of a Duffing-harmonic oscillator by the method of harmonic balance

✍ H. Hu; J.H. Tang 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 91 KB

The first-order harmonic balance method via first Fourier coefficient is used to construct an approximate frequency–amplitude relation for a Duffing-harmonic oscillator. This relation is in agreement with the result obtained by the Ritz procedure.