33 lines
1.5 KiB
Markdown
33 lines
1.5 KiB
Markdown
# Texas A&M Aerospace Engineering - AERO 430 - Numerical Simulation
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AERO 430 involves the discussion and application of the finite difference method (FDM) and finite element method (FEM) to
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2 types of problems: the naturally stable heat transfer in a beam and the naturally unstable forced vibration of a beam.
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## HW1
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Compute the numerical solution to the 1 dimensional heat transfer of a uniform beam using first and second order FDM
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and compare to the analytical solution.
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[Homework 1 Report](HW1/Judson_Upchurch_HW1.pdf)
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## HW2
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Compute the numerical solution to the 1 dimensional heat transfer of a uniform beam using second order FDM and linear
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shape function FEM.
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[Homework 2 Report](HW2/Judson_Upchurch_HW2.pdf)
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## HW3
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Compute the numerical solution to the 1 dimensional heat transfer of a non-uniform beam using second order FDM and linear
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shape function FEM.
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[Homework 3 Report](HW3/Judson_Upchurch_HW3.pdf)
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## HW4
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Compute the numerical solution to the 1 dimensional heat transfer of a non-uniform beam using second and fourth order FDM
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and linear and quadratic shape function FEM.
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[Homework 4 Report](HW4/Judson_Upchurch_HW4.pdf)
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## HW5-6
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Compute the numerical solution to the 1 dimensional forced vibration of a uniform beam using second and fourth order FDM
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and linear and quadratic shape function FEM. Also perform a frequency sweep to determine the natural frequencies of the method and the beam.
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[Homework 5-6 Report](HW5/Judson_Upchurch_HW5_6.pdf) |