Transcript Project-Proposal-Presentation.pptx

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.
• 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]
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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.
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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.
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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.
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Milestones
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10/05/2010
10/05/2010
10/12/2010
10/19/2010
10/19/2010
10/26/2010
11/02/2010
(COMSOL)
11/09/2010
11/09/2010
11/16/2010
11/23/2010
11/30/2010
11/30/2010
12/14/2010
Submit Project Proposal
Complete Literary Research
Determine Exact Solution of Constant Material Plate
Determine Exact Solution of FGM Plate
First Progress Report
FEA Results of Constant Material Plate (COMSOL)
FEA Results of Smooth Continuously Graded Plate
FEA Results of Step Graded Plate (COMSOL)
Second Progress Report
FEA Results of Constant Material Plate (ANSYS)
FEA Results of Smooth Continuously Graded Plate (ANSYS)
FEA Results of Step Graded Plate (ANSYS)
Final Draft
Final Report
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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/RT2000/5000/592
0arnold3.html
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