hw1_98W - Homework #1 MEAM502 Differential Equation Methods...

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Homework #1 MEAM502 Differential Equation Methods in Mechanical Engineering 1998 Winter Kikuchi Consider a functional Fv dv dx x dx x v x dx v (29 =+ -- (29 + ∫∫ 1 1 2 3 4 2 0 1 0 1 and a minimization problem min v on the admissible space Kv V v v =∈ (29= (29 = {} 01 0 and V is a linear space of all the functions defined on the interval (0,1) whose generalized first derivatives are square integrable, while they are square integrable on the interval (0,1). (1) Find Euler’s equation of this minimization problem. (2) Using the Ritz method, solve this minimization problem. Here note that the
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This document was uploaded on 12/08/2011.

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