Transcript Modal Analysis of Functionally Graded Rectangular Plates

Modal Analysis of Functionally
Graded Rectangular Plates
Wes Saunders
Engineering Project Proposal
Purpose
• To use Finite Element Analysis (FEA) to
perform a modal analysis on functionally
graded materials (FGM) to determine modes
and mode shapes.
Background
• Modal analysis involves imposing an excitation
into the structure and finding when the structure
resonates, and returns multiple frequencies, each
with an accompanying displacement field.
• Functionally graded materials (FGM) are defined
as an anisotropic material whose physical
properties vary continuously throughout the
volume, either randomly or strategically, to
achieve desired characteristics or functionality.
Methodology
• Using COMSOL Finite Element software, a
modal analysis will be performed to
determine modes and mode shapes
• The project will begin by looking at basic
isotropic plates using modal analysis, before
progressing onto simply graded materials (i.e.
linear, power law), then finally looking at a
FGM.
Results
• Frequencies (modes)
• Displacement fields (mode shapes) for each
frequency, plotted as such:
Milestones
Task
Familiarize self with COMSOL software
Perform modal analysis for a well known isotropic plate case in
COMSOL and compare to exact solution
Completion Date
9/30/11
10/7/11
Perform analysis for a linearly graded material for test case
10/7/11
Perform analysis for a power law graded material for test case
10/11/11
Determine the governing equation for first FGM property variation,
complete FGM model in COMSOL
10/14/11
Perform modal analysis on first FGM model and compare to known
solution
Complete first progress report
Determine the governing equation for second and third FGM
property variation, complete FGM models in COMSOL
10/21/11
Complete second progress report
Perform modal analysis on second and third FGM models. Compare
to first FGM model
Complete final write-up draft
Submit final write-up of project
11/11/11
11/25/11
10/21/11
11/11/11
12/2/11
12/16/11