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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.
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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: