Unformatted text preview: ρ = ∂ ∂ = ∂ ∂ / , 1 2 2 2 2 2 E c t u c x u a.) Develop the finite element equation based on the Newmark time stepping scheme. b.) Set up a two linear element model of the problem (0 < x < L ) ) , ( , sin ) , ( , ) , ( ) , ( = π = = = x u L x x u t L u t u Use equal size elements with h = L /2, 3 / 1 2 , 2 / 1 = β = γ = α , and Δ t = h/c , develop a time stepping relation for u 2 n+1 . Check on the appropriateness of the time step. Later I will show you a MATLAB evaluation of this time stepping scheme and a comparison with the exact solution....
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This note was uploaded on 10/03/2011 for the course MCE 561 taught by Professor Sadd during the Spring '11 term at Rhode Island.
 Spring '11
 Sadd

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