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Boundary control of temperature distribution in a rectangular FGM plate

Rastgoftar, H ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2009-12081
  3. Publisher: American Society of Mechanical Engineers (ASME) , 2010
  4. Abstract:
  5. In this paper an analytical method and a PDE-based solution to control temperature distribution in FGM plates is introduced. For the rectangular FGM plate under consideration, it is assumed that the material properties such as thermal conductivity, density, and specific heat capacity, vary in the width direction (y); and the governing heat conduction equation of the 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, we will show that with applying controlled heat flux through the boundary of the domain, the temperature distribution of the plate will approach to the desired distribution of Td(x,y). Finally, numerical methods are used to analyze transient heat transfer as distributed temperature T(x,y,t) converge to desired one af Td(x,y)
  6. Keywords:
  7. Aircraft engines ; Mechanical engineering ; Numerical methods ; Partial differential equations ; Specific heat ; Temperature control ; Temperature distribution ; Thermoanalysis ; Transient analysis ; Analytical method ; Boundary controls ; Continuous domain ; Control approach ; Control design ; Control synthesis ; Control temperatures ; Heat conduction equations ; Lyapunov ; Material property ; PDE model ; Second-order partial differential equation ; Specific heat capacity ; Transient heat transfer ; Ordinary differential equations
  8. Source: ASME International Mechanical Engineering Congress and Exposition, Proceedings, 13 November 2009 through 19 November 2009, Lake Buena Vista, FL ; Volume 10, Issue PART B , 2010 , Pages 777-783 ; 9780791843833 (ISBN)
  9. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1641998