6b-GalerkinExample-2010s-rev1

6b-GalerkinExample-2010s-rev1 - William Klug MAE M168/CEE...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: William Klug MAE M168/CEE M135C Introduction to Finite Element Methods Lecture 6b Approximation Techniques: Galerkin Examples William Klug Summary and Review Weak form Galerkin method: Solve for unknown coefficients Error orthogonal to G [ u , i ] = EA d u dx d i dx q i dx L P i (0) P L i ( L ) = 0, ( i = 1,..., N ) William Klug Example 1: Elastic Bar Under Uniform Load William Klug Galerkin Approximation William Klug Galerkin Approximation G [ u , i ] = EA d u dx d i dx q i dx L P i (0) P L i ( L ) = G [ u , i ] = EA d u dx d i dx q i dx L William Klug Galerkin Approximation G [ u , 1 ] = EA d u dx d 1 dx q 1 dx L = E o A 2 x L c 1 + 2 c 2 x ( ) q o x L dx = G [ u , 2 ] = EA d u...
View Full Document

This note was uploaded on 08/09/2011 for the course MAE 168 taught by Professor Klug during the Spring '11 term at UCLA.

Page1 / 21

6b-GalerkinExample-2010s-rev1 - William Klug MAE M168/CEE...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online