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

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EGM6321 - Principles of Engineering Analysis 1, Fall 2009[edit]

Mtg 15: Thur, 24Sept09


Page 15-1

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Ex.1 P.14-4  :

EGM6321 F10 TEAM1 WILKS xc mtg15 1.svg

finite element basis function associated with node J = "hat" function.

EGM6321 F10 TEAM1 WILKS xc mtg15 2.svg

, but

Ex.1 P.14-4 : Cubic Spline (Bexler, cubic Hermitian)

Page 15-2

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EGM6321 F10 TEAM1 WILKS xc mtg15 3.svg

Cubic 4 Coefficients 4 degrees of freedom per element 2 degrees of freedom per node (each element has 2 nodes)

EGM6321 F10 TEAM1 WILKS xc mtg15 4.svg

HW: , but , for

Page 15-3

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EGM6321 F10 TEAM1 WILKS xc mtg15 5.svg

,



, where A and B are constants

Where this can be rewritten for x as: , where A and B are constants


Page 15-4

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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[edit]