Abstract
Symbolic mathematics packages give the opportunity to execute the difficult symbolic transformations with use of computer, abandoning graphic methods. The resilient weightless beam fixed by resilient links and carrying two concentrated masses is considered. Instead of building the bending moment diagram and the later use of Vereshchagin's method for disclosure of static indeterminacy, the equation of distribution of the bending and single moments along the beam length is written, and Mohr's integral is calculated.
Highlights
Students have to create and perform operations on the inertia and flexibility matrices, when studying oscillations of systems with a finite number of degrees of freedom
In this paper we demonstrated on one typical example our positive experience in implementing symbolic mathematics packages in teaching courses of mechanics and similar at our technical university, which allows us to modernize our teaching methods
Summary
Students have to create and perform operations on the inertia and flexibility matrices, when studying oscillations of systems with a finite number of degrees of freedom. The purpose of this article is demonstration of advantages of applying symbolic mathematics packages while performing tasks of the systems oscillation theory with finite number of degrees of freedom. Instead of building the bending moment diagram and the later use of Vereshchagin's method for disclosure of static indeterminacy, the equation of distribution of the bending and single moments along the beam length is written, and Mohr's integral is calculated.
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