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Ultraspherical polynomials approach to the study of third-order non-linear systems

✍ Scribed by H.R. Srirangarajan; P. Srinivasan; B.V. Dasarathy

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
205 KB
Volume
40
Category
Article
ISSN
0022-460X

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πŸ“œ SIMILAR VOLUMES

Application of ultraspherical polynomial
Application of ultraspherical polynomials to forced oscillations of a third-order non-linear system
✍ H.R. Srirangarajan; P. Srinivasan πŸ“‚ Article πŸ“… 1974 πŸ› Elsevier Science 🌐 English βš– 247 KB

In this paper the method of ultraspherical polynomial approximation is applied to study the steady-state response in forced oscillations of a third-order non-linear system. The non-linear function is expanded in ultraspherical polynomials and the expansion is restricted to the linear term. The equat

Study of third-order non-linear systemsβ€”
Study of third-order non-linear systemsβ€”Variation of parameters approach
✍ H.R. Srirangarajan; B.V. Dasarathy πŸ“‚ Article πŸ“… 1975 πŸ› Elsevier Science 🌐 English βš– 176 KB

In this paper, the transient response of a third-order non-linear system is obtained by first reducing the given third-order equation to three first-order equations by applying the method of variation of parameters. On the assumption that the variations of amplitude and phase are small, the function