Analysis of influence of the geometric parameters of mast systems on the natural frequency and vibration mode spectrum

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. [7]. The article suggests a method of forming, by means of a purposeful vari...

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Main Authors: Grinyov Vladimir, Alyoshechkina Tatyana, Vynogradov Vitaliy, Perepelytsa Ekaterina
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201711602015
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author Grinyov Vladimir
Alyoshechkina Tatyana
Vynogradov Vitaliy
Perepelytsa Ekaterina
author_facet Grinyov Vladimir
Alyoshechkina Tatyana
Vynogradov Vitaliy
Perepelytsa Ekaterina
author_sort Grinyov Vladimir
collection DOAJ
description 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. [7]. 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 [9] 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.
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spelling doaj.art-ed54a8ce7df041bdbddc61b0eaa303662022-12-21T21:30:46ZengEDP SciencesMATEC Web of Conferences2261-236X2017-01-011160201510.1051/matecconf/201711602015matecconf_trs2017_02015Analysis of influence of the geometric parameters of mast systems on the natural frequency and vibration mode spectrumGrinyov Vladimir0Alyoshechkina Tatyana1Vynogradov Vitaliy2Perepelytsa Ekaterina3Kharkiv National University of Civil Engineering and Architecture, Structural Construction MechanicsKharkiv National University of Civil Engineering and Architecture, Structural Construction MechanicsKharkiv National University of Civil Engineering and Architecture, Structural Construction MechanicsKharkiv National University of Civil Engineering and Architecture, Structural Construction MechanicsNatural 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. [7]. 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 [9] 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.https://doi.org/10.1051/matecconf/201711602015
spellingShingle Grinyov Vladimir
Alyoshechkina Tatyana
Vynogradov Vitaliy
Perepelytsa Ekaterina
Analysis of influence of the geometric parameters of mast systems on the natural frequency and vibration mode spectrum
MATEC Web of Conferences
title Analysis of influence of the geometric parameters of mast systems on the natural frequency and vibration mode spectrum
title_full Analysis of influence of the geometric parameters of mast systems on the natural frequency and vibration mode spectrum
title_fullStr Analysis of influence of the geometric parameters of mast systems on the natural frequency and vibration mode spectrum
title_full_unstemmed Analysis of influence of the geometric parameters of mast systems on the natural frequency and vibration mode spectrum
title_short Analysis of influence of the geometric parameters of mast systems on the natural frequency and vibration mode spectrum
title_sort analysis of influence of the geometric parameters of mast systems on the natural frequency and vibration mode spectrum
url https://doi.org/10.1051/matecconf/201711602015
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AT vynogradovvitaliy analysisofinfluenceofthegeometricparametersofmastsystemsonthenaturalfrequencyandvibrationmodespectrum
AT perepelytsaekaterina analysisofinfluenceofthegeometricparametersofmastsystemsonthenaturalfrequencyandvibrationmodespectrum