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

EGM6321 - Principles of Engineering Analysis 1, Fall 2009Edit

Mtg 15: Thur, 24Sept09


Page 15-1

Edit

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)

Page 15-2

Edit

 

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

 

HW:  , but  , for  

Page 15-3

Edit


 

  ,  

 

  , where A and B are constants

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

 

Page 15-4

Edit


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)

ReferencesEdit