MIT2_094S11_hw_6

MIT2_094S11_hw_6 - 2.094 FINITE ELEMENT ANALYSIS OF SOLIDS...

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2.094 F INITE E LEMENT A NALYSIS OF S OLIDS AND F LUIDS S PRING 2008 Homework 6 Instructor: Prof. K. J. Bathe Assigned: 03/13/2008 Due: 03/20/2008 Problem 1 (20 points): Consider Example 6.3 in the textbook, pages 494, 495. Assume that the equilibrium has been established for 3 21 0 2 t R kL where 2 3.70223 10 t L Δ . Next, the equilibrium for 3 31 0 2 tt R kL Δ + shall be established. Perform the full Newton-Raphson iteration in Eqs. (6.11) and (6.12) to calculate L Δ Δ + . Use as the convergence criterion () (1 6 ) 1 1.0 10 2 tt i RF kL ΔΔ + +− −= × . Calculate the tangent stiffness matrices using the finite difference scheme given in class; you need to select an
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.094 taught by Professor Klaus-jürgenbathe during the Spring '11 term at MIT.

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MIT2_094S11_hw_6 - 2.094 FINITE ELEMENT ANALYSIS OF SOLIDS...

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