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Unformatted text preview: 2.092/2.093 Finite Element Analysis of Solids & Fluids I Fall 09 Lecture 15- Solution of Dynamic Equilibrium Equations Prof. K. J. Bathe MIT OpenCourseWare In the last lecture, we described a physical setup that demonstrates the technique of Gauss elimination. We used clamps on each DOF and removed one clamp for one step of Gauss elimination. u 1 u 2 u 3 u 4 should be positive, and should remain positive. Our rule: Remove clamps one at a time, in the order we would perform Gauss elimination. If there is a clamp seeing no more stiffness after having removed some clamp(s), the structure is unstable. Example K = All diagonal terms are positive. However, there will be a zero diagonal entry after Gauss elimination has been performed for the 3rd DOF....
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- Fall '09
- Finite Element Analysis