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Numerical solution of the controlled Duffing oscillator by the pseudospectral method

✍ Scribed by Mohsen Razzaghi; Gamal Elnagar

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
488 KB
Volume
56
Category
Article
ISSN
0377-0427

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πŸ“œ SIMILAR VOLUMES

Solution of a Duffing-harmonic oscillato
Solution of a Duffing-harmonic oscillator by the method of harmonic balance
✍ H. Hu; J.H. Tang πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 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.

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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

A unified framework for the numerical so
A unified framework for the numerical solution of optimal control problems using pseudospectral methods
✍ Divya Garg; Michael Patterson; William W. Hager; Anil V. Rao; David A. Benson; G πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 559 KB

A unified framework is presented for the numerical solution of optimal control problems using collocation at Legendre-Gauss (LG), Legendre-Gauss-Radau (LGR), and Legendre-Gauss-Lobatto (LGL) points. It is shown that the LG and LGR differentiation matrices are rectangular and full rank whereas the LG