NDLI: Boundary Control of Temperature Distribution in a Thick Rectangular FGM Plate (Cubic Block)

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Rastgoftar, Hossein Eghtesad, Mohammad
Copyright Year	2009
Abstract	In this paper an analytical method and a PDE-based solution to control temperature distribution in FGM thick plates is introduced. For the rectangular FGM thick plate under consideration, it is assumed that material properties such as thermal conductivity, density, and specific heat capacity are constant in length and width (x, y direction) but they vary in thickness direction of the plate; and the governing heat conduction equation of the thick plate is a second-order partial differential equation. Since there has been little control synthesis work for PDE-based systems as compared to the abundance of control design techniques available for ordinary differential equations (ODEs), most of the proposed control approaches for continuous domain rely on discretizing the PDE model into a set of ODEs. Using Lyapunov’s theorem, it will be shown how to obtain boundary heat flux required for producing a desired distribution of Td(x, y, z).
Starting Page	1017
Ending Page	1022
Page Count	6
File Format	PDF
ISBN	9780791843833
DOI	10.1115/IMECE2009-12094
e-ISBN	9780791838631
Volume Number	Volume 10: Mechanical Systems and Control, Parts A and B
Conference Proceedings	ASME 2009 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2009-11-13
Publisher Place	Lake Buena Vista, Florida, USA
Access Restriction	Subscribed
Subject Keyword	Temperature distribution Theorems (mathematics) Partial differential equations Engineering design processes Density Heat flux Heat conduction Specific heat Functionally graded materials Differential equations Materials properties Plates (structures) Thermal conductivity Flamelet generated manifold
Content Type	Text
Resource Type	Article

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