Consideration of shear, rotational inertia and compressive force during transverse vibrations of structural beam elements
1
National University "Odessa Polytechnic"
2
Odessa National Maritime University
Submission date: 2023-03-28
Final revision date: 2023-09-12
Acceptance date: 2023-11-29
Online publication date: 2023-12-19
Publication date: 2023-12-19
Diagnostyka 2024;25(1):2025101
KEYWORDS
allowance forshear and rotational inertiaFourier method of separation of variablesdetermination of refined vibration frequencies of structural beam elements
TOPICS
ABSTRACT
The procedure for taking into account shear and rotational inertia in the case of transverse vibrations of beam elements of material handling vehicles with different conditions of fastening (support) is considered. The dynamic model of the rod element is supplemented with compressive forces with a fixed line of action and monitors the angle of rotation of the rod. The Fourier method of separation of variables in the harmonic vibrations of beams is applied. This made it possible to obtain a differential equation, kinematic and static parameters in the amplitude state. The resulting differential equation is integrated, the fundamental functions are normalized, and the complete solution is presented in matrix form with initial parameters. Four cases of fundamental functions are revealed. For beam elements with different support conditions, the vibration frequency has been refined. With hinged support, the first 5 frequencies of this work coincide with the frequencies obtained by another approach.
FUNDING
The source of financing are own funds of the authors.
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| eISSN: | 2449-5220 |
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