Srirangarajan, HR and Srinivasan, P and Dasarathy, BV (1975) Ultraspherical polynomials approach to the study of third-order non-linear systems. In: Journal of Sound and Vibration, 40 (2). pp. 167-172.
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In this study, the Krylov-Bogoliubov-Mitropolskii-Popov asymptotic method is used to determine the transient response of third-order non-linear systems. Instead of averaging the non-linear functions over a cycle, they are expanded in ultraspherical polynomials and the constant term is retained. The resulting equations are solved to obtain the approximate solution. A numerical example is considered and the approximate solution is compared with the digital solution. The results show that there is good agreement between the two values.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Elsevier Science.|
|Department/Centre:||Division of Mechanical Sciences > Mechanical Engineering
Division of Electrical Sciences > Computer Science & Automation (Formerly, School of Automation)
|Date Deposited:||22 Jan 2010 06:34|
|Last Modified:||06 Dec 2010 07:18|
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