ExercisesWk9

ExercisesWk9 - Sigrid Leyendecker Computational Dynamics...

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Unformatted text preview: Sigrid Leyendecker Computational Dynamics for Mechanical Systems 1 Computational Dynamics for Mechanical Systems two lectures of course CDS 140b: Introduction to Dynamics Tuesday March 4 and Thursday March 6 2008, 10:30am-11:55am, Steele 214 Sigrid Leyendecker [email protected] Homework A pdf-document containing the required plots and text and the complete program code should be emailed to Molei ([email protected] with Cc to myself [email protected]) on or before Thursday March 13. Please label plots properly (legend of plotted curves, axes and significant values). Homework The Lagrangian for the planar pendulum (Figure 1 of the lecture notes), with mass m = 1 and length l = 1 and gravitational constant g =- 9 . 81 reads L ( q, ˙ q ) = 1 2 ˙ q 2- ( g cos q ) and the Hamiltonian reads H ( q, p ) = 1 2 p 2 + ( g cos q ) For the initial conditions q = 4 5 π and p = 0, implement the dynamics of the pendulum using two different schemes. You can chose one from the set { forward Euler (2), backward...
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ExercisesWk9 - Sigrid Leyendecker Computational Dynamics...

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