Finding closed-form solutions of beam vibration
György Maróti · Pollack Periodica · 2011
In this paper Maple general-purpose computer algebra system is used to find closed-form solution for the vibration of inhomogeneous beam with a translational spring at one of its end and clamped at the other end. Instead of using linear algebra to find the form of acceptable mode shape and flexural rigidity, calculus tools are introduced to find the general solution of the differential equation. In the second part of the article it is shown how Maple can be used in the course of engineering calculations.