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

• 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

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.