EGM6321 - Principles of Engineering Analysis 1, Fall 2009
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Mtg 15: Thur, 24Sept09
Ex.1 P.14-4 :
finite element basis function associated with node J = "hat" function.
, but
Ex.1 P.14-4 : Cubic Spline (Bexler, cubic Hermitian)
Cubic 4 Coefficients 4 degrees of freedom per element 2 degrees of freedom per node (each element has 2 nodes)
HW: , but , for
,
, where A and B are constants
Where this can be rewritten for x as: , where A and B are constants
Euler Equations: Special Homogeneous Ln_ODE_VC
Where and
Two methods of solution:
Method 1: Transfer of variables
Method 2: Method of undetermined coefficients
(Or Trial Solution) K.etal(2003)