Issue |
MATEC Web Conf.
Volume 211, 2018
The 14th International Conference on Vibration Engineering and Technology of Machinery (VETOMAC XIV)
|
|
---|---|---|
Article Number | 17008 | |
Number of page(s) | 6 | |
Section | TP4: Machinery and structural dynamics | |
DOI | https://doi.org/10.1051/matecconf/201821117008 | |
Published online | 10 October 2018 |
Oscillations of a statically indeterminate system with a finite number of degrees of freedom (the experience with the application of mathematical packages in the technical university course of mechanics)
Department of the Theoretical Mechanics, Gubkin Russian State University of Oil and Gas (National Research University),
65 Leninsky Prospekt,
Moscow,
119991,
Russia
* Corresponding author: levitskiy.d@gubkin.ru
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.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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