One dimensional coupled vibrating systems with control applied at the coupled points

منو

" One dimensional coupled vibrating systems with control applied at the coupled points "
L. Jamiiru

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	1113138
Doc. No	:	TLpq231535088
Main Entry	:	L. Jamiiru
Title & Author	:	One dimensional coupled vibrating systems with control applied at the coupled points\ L. Jamiiru
College	:	King Fahd University of Petroleum and Minerals (Saudi Arabia)
Date	:	1995
student score	:	1995
Degree	:	M.S.
Page No	:	88
Abstract	:	Many flexible structures consist of a large number of components coupled end to end in the form of a chain. In this study, we consider a type of such structures formed by N one-dimensional coupled structures, with (N 1) controllers at the coupled points. A maximum principle is developed for a class of such optimal problems governed by N linear hyperbolic partial differential equations of second order in time and fourth order in space with variable coefficients. The solution of the optimal control problem is shown to be unique using convexity arguments. The solution for a special class of optimal control problems is obtained using the maximum principle. This solution involves reducing the original problem to a system of ordinary differential equations. For comparative studies, the special problem is solved by the variational approach. The effectiveness of these approaches is demonstrated by means of a numerical solution for controlling the vibrations of two strings that are coupled at the connecting point.
Subject	:	Applied sciences
	:	Civil engineering
	:	Mathematics
	:	Mathematics
	:	Mechanics
	:	Pure sciences