MATEC Web Conf.
Volume 116, 20176th International Scientific Conference “Reliability and Durability of Railway Transport Engineering Structures and Buildings” (Transbud-2017)
|Number of page(s)||9|
|Section||Structures, Buildings and Facilities|
|Published online||10 July 2017|
Analysis of influence of the geometric parameters of mast systems on the natural frequency and vibration mode spectrum
Kharkiv National University of Civil Engineering and Architecture, Structural Construction Mechanics, 40 Symskaya Street, Kharkov, Ukraine, 61002
* Corresponding author: email@example.com
Natural frequencies and eigenmodes of oscillations are the determining values in the study of dynamic processes in many constructions, including mast systems when they are affected by time-varying loads: wind, seismic, etc. . The article suggests a method of forming, by means of a purposeful variation of the geometrical parameters of the mast, the spectrum of natural frequencies of bending vibrations. The basis is the necessary optimality conditions for one-dimensional models in the form of the maximum principle [1, 3, 8]. The analysis of the sensitivity of the spectrum  to small changes in geometric parameters that inevitably arise during the operation of the masts is carried out. An algorithm for using functional derivatives for finding optimal solutions is constructed.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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