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Modal Comparison of Functionally Graded Material and Constant Material Rectangular Plates

Modal Comparison of Functionally Graded Material and Constant Material Rectangular Plates. Joo Sub Rhee September 2010 Rensselaer Polytechnic Institute at Hartford. What is Functionally Graded Material?. Functionally Graded Material (FGM) is typically composed of a ceramic and a metal.

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Modal Comparison of Functionally Graded Material and Constant Material Rectangular Plates

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  1. Modal Comparison of Functionally Graded Material and Constant Material Rectangular Plates Joo Sub Rhee September 2010 Rensselaer Polytechnic Institute at Hartford

  2. What is Functionally Graded Material? • Functionally Graded Material (FGM) is typically composed of a ceramic and a metal. • The composition varies gradually from the metal to the ceramic, through the volume of the material. • First proposed for use in high temperature applications.[1-3] [3]

  3. Problem Description • Functionally graded material has potential use in areas such as turbine engine airfoils. • Behavior of functionally graded materials are still being explored. • Understanding vibratory modes are important to structures that are exposed to vibration excitation sources. • Modes and modal analysis methods of functionally graded material plates will be examined in this project.

  4. Methodology/Approach • Determine the exact solution 1st natural frequency and mode shape for a simply supported FGM plate and a simply supported ordinary plate. • Determine the 1st natural frequency and mode shape for a simply supported ordinary plate using finite element analysis. • Determine the 1st natural frequency and mode shape for a simply supported FGM plate, with a smooth continuous material grade, using finite element analysis. • Determine the 1st natural frequency and mode shape for a simply supported FGM plate, with a stepwise material grade, using finite element analysis.

  5. Expected Outcomes • Comparison of 1st natural frequency and mode shape of a single material rectangular plate and FGM rectangular plate. • Comparison of between the exact solution, the smooth continuously graded FEA solution, and the stepwise graded FEA solution.

  6. Milestones • 10/05/2010 Submit Project Proposal • 10/05/2010 Complete Literary Research • 10/12/2010 Determine Exact Solution of Constant Material Plate • 10/19/2010 Determine Exact Solution of FGM Plate • 10/19/2010 First Progress Report • 10/26/2010 FEA Results of Constant Material Plate (COMSOL) • 11/02/2010 FEA Results of Smooth Continuously Graded Plate (COMSOL) • 11/09/2010 FEA Results of Step Graded Plate (COMSOL) • 11/09/2010 Second Progress Report • 11/16/2010 FEA Results of Constant Material Plate (ANSYS) • 11/23/2010 FEA Results of Smooth Continuously Graded Plate (ANSYS) • 11/30/2010 FEA Results of Step Graded Plate (ANSYS) • 11/30/2010 Final Draft • 12/14/2010 Final Report

  7. References [1] Akhavan, H., 2010, “Functionally Graded Plates”, http://www.scitopics.com/Functionally_Graded_Plates.html [2] Ruys, A., and Sun, D., 2002, “Functionally Graded Materials (FGM) and Their Production Methods”, http://www.azom.com/details.asp?ArticleID=1592 [3] Aboudi, J., Pindera, M.J., and Arnold, S. M., 2001, “Higher-Order Theory for Functionally Graded Materials”, http://www.grc.nasa.gov/WWW/RT/RT2000/5000/5920arnold3.html

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