| Issue |
E3S Web Conf.
Volume 264, 2021
International Scientific Conference “Construction Mechanics, Hydraulics and Water Resources Engineering” (CONMECHYDRO - 2021)
|
|
|---|---|---|
| Article Number | 02034 | |
| Number of page(s) | 7 | |
| Section | Road Construction, Building Structures and Materials | |
| DOI | https://doi.org/10.1051/e3sconf/202126402034 | |
| Published online | 02 June 2021 | |
The lower limit of the first frequency of natural vibrations externally statically indeterminate truss: analytical solution
National Research University "Moscow Power Engineering Institute", Moscow, Russia
* Corresponding author: c216@ya.ru
A scheme of a statically determinate planar truss with two additional supports duplicating the main ones is proposed. The formula for the dependence of the lower estimate of the first natural frequency on the number of panels is obtained. The solution is compared with the numerical one. Determination of the forces in the rods by the method of cutting out the nodes and with all the transformations performed in the Maple computer mathematics system. The high accuracy of the result is shown with a large number of panels.
© The Authors, published by EDP Sciences, 2021
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