1.5 KiB
Texas A&M Aerospace Engineering - AERO 430 - Numerical Simulation
AERO 430 involves the discussion and application of the finite difference method (FDM) and finite element method (FEM) to 2 types of problems: the stable heat transfer in a beam and the unstable forced vibration of a beam.
HW1
Compute the numerical solution to the 1 dimensional heat transfer of a uniform beam using first and second order FDM and compare to the analytical solution.
HW2
Compute the numerical solution to the 1 dimensional heat transfer of a uniform beam using second order FDM and linear shape function FEM.
HW3
Compute the numerical solution to the 1 dimensional heat transfer of a non-uniform beam using second order FDM and linear shape function FEM.
HW4
Compute the numerical solution to the 1 dimensional heat transfer of a non-uniform beam using second and fourth order FDM and linear and quadratic shape function FEM.
HW5-6
Compute the numerical solution to the 1 dimensional forced vibration of a uniform beam using second and fourth order FDM and linear and quadratic shape function FEM. Also perform a frequency sweep to determine the natural frequencies of the method and the beam.