Methods for Determining the Frequency Characteristics of Statically Indeterminate Systems
Abstract: Most elements of real structures and structures are systems with distributed parameters. They are systems with an infinite number of degrees of freedom. One of the important tasks of the dynamic calculation of building structures is to determine the spectrum of natural vibration frequencies. Most approximate methods allow you to get only the first frequency of natural oscillations, and does not allow to evaluate the significance of subsequent frequencies. The article discusses algorithms for solving problems on determining the frequencies of small oscillations of a conservative system with several degrees of freedom using known methods (using the Lagrange equations, using general theorems of dynamics, the method of displacement). It is quite accurate that it is possible to determine the frequency characteristics for longitudinal, torsional and bending vibrations of structures using the initial parameter method. An example of solving the problem using the method of initial parameters is given.
Keywords: Lagrange equations, initial parameter method, statically indeterminate systems, natural frequency.
Pages: 54-59.
For citation: Fomenko, S. A. Methods for Determining the Frequency Characteristics of Statically Indeterminate Systems. – Text : electronic. – In: Proceeding of the Donbas National Academy of Civil Engineering and Architecture. – 2020. – Issue 2020-3(143) Buildings and structures using new materials and technologies. – Р. 54-59. – URL: https://donnasa.ru/publish_house/journals/vestnik/2020/2020-3(143)/st_10_fomenko.pdf (date of access: 19.11.2024). – ISSN 2519-2817.
Issue 2020-3 (143)
Journal: Proceeding of the Donbas National Academy of Civil Engineering and Architecture
Publish house: Donbas National Academy of Civil Engineering and Architecture
Journal: Proceeding of the Donbas National Academy of Civil Engineering and Architecture
Publish house: Donbas National Academy of Civil Engineering and Architecture