Analytical Mechanics with Computer Algebra.

University essay from KTH/Mekanik; KTH/Mekanik

Author: Martin Lindberg; Anders Pärlstrand; [2014]

Keywords: ;

Abstract:

In this project we have been studying two different advanced mechanical pendulums, which are close to impossible to solve by hand. The theory behind our method is Lagrange’s equations which lead to the system's equations of motion. These equations of motion are solved with Sophia, a program package to the symbolic programming language Maple. The solution is given on a general analytic form and can be specified with numerical parameters which allow us to visualize the particle animation and also plot the generalized coordinates.

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