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7b-R-R Example-2010s

7b-R-R Example-2010s - MAE M168/CEE M135C Introduction to...

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© William Klug MAE M168/CEE M135C Introduction to Finite Element Methods Lecture 7b Approximation Techniques: Rayleigh-Ritz Examples
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© William Klug Summary and Review • Determine • Approximate • min Π Π ( c i ) = Π u d Π dc i = 0 ( ) ( ) 1 N i i i u x u c x φ = =
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© William Klug Example 1: Elastic Bar Under Uniform Load
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© William Klug R-R Approximation
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© William Klug R-R Approximation Π u = 1 2 EA d u dx 2 dx 0 L q ( x ) 0 L u dx
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© William Klug R-R Approximation
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© William Klug R-R Approximation
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© William Klug
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