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University of Florida/Egm6321/F10.TEAM1.WILKS/Mtg15

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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)

References

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