Izvorni znanstveni članak

https://doi.org/10.13167/2021.22.3

ANALYTICAL CALCULATIONS OF THE VIBRATIONS OF VERTICAL STRUCTURES CONSIDERING THEIR DEAD WEIGHT

Yurii Krutii orcid.org/0000-0001-7105-3087 ; Odessa State Academy of Civil Engineering and Architecture, Department of Information Technology and Applied Mathematics
Victor Vandynskyi ; Odessa State Academy of Civil Engineering and Architecture, Building mechanical Department
Petr Konstantinov ; Odessa State Academy of Civil Engineering and Architecture, Department metal, wooden and plastic structures

Sažetak

This paper presents the results of studies on the analytical dependence between the value of a longitudinal distributed load and the frequency of free vibrations in a uniform rod. Based on the exact solution of the corresponding differential equation, a method for calculating vibrations in rod structures, while considering their dead weight, is implemented. The method algorithm is shown using the example of a rod with both ends clamped. This article contains graphs and analytical formulas for displaying dependencies. A table is provided that contains all the necessary coefficients to perform similar calculations for other boundary conditions. These results allow the physical and mechanical characteristics of a system to be used to determine the natural frequency of rod structures without using approximate methods.

Ključne riječi

Rod structure; variable longitudinal force; bending vibration; natural frequency

Hrčak ID:

261278

URI

https://hrcak.srce.hr/261278

Datum izdavanja:

30.7.2021.

Posjeta: 773 *