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Undersökning av Mekaniska Problem med hjälp av Datoralgebra

When investigating mechanical problems it is often more convenient to deal with scalars rather than vectors. In this project methods stemming from the field of analytical mechanics, which lets one derive the equations of motion using scalar quantities instead of vectors, have been used. Two mechanical problems were investigated, a double pendulum with a spring and particles orbit in a sphere. The equations of motion of the two systems were derived with the assistance of computer algebra, using Maple and the external package Sophia. The systems were investigated with regard to periodicity and conserved quantities.

Författare

Stefan Gramfält

Lärosäte och institution

KTH/Mekanik

Nivå:

"Kandidatuppsats". Självständigt arbete (examensarbete ) om minst 15 högskolepoäng utfört för att erhålla kandidatexamen.

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