{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

6b-GalerkinExample-2010s-rev1

# 6b-GalerkinExample-2010s-rev1 - © William Klug MAE...

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

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

View Full Document

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

View Full Document

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

View Full Document
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 , φ i ] = EA d u dx d φ i dx − q φ i dx L ∫ − P φ i (0) − P L φ 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 , φ i ] = EA d u dx d φ i dx − q φ i dx L ∫ − P φ i (0) − P L φ i ( L ) = ⇒ G [ u , φ i ] = EA d u dx d φ i dx − q φ i dx L ∫ © William Klug Galerkin Approximation G [ u , φ 1 ] = EA d u dx d φ 1 dx − q φ 1 dx L ∫ = E o A 2 − x L c 1 + 2 c 2 x ( ) − q o x L ∫ dx = G [ u , φ 2 ] = EA d u...
View Full Document

{[ snackBarMessage ]}

### Page1 / 21

6b-GalerkinExample-2010s-rev1 - © William Klug MAE...

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

View Full Document
Ask a homework question - tutors are online