E3S Web Conf.
Volume 263, 2021XXIV International Scientific Conference “Construction the Formation of Living Environment” (FORM-2021)
|Number of page(s)||8|
|Section||Reliability of Buildings and Constructions and Safety in Construction|
|Published online||28 May 2021|
Determination of the own forms of vibration of the span of beam bridges on elastic supporting parts
Kyrgyz State University of Construction, Transportation and Architecture, Bishkek, Kyrgyzstan
The authors consider the determination of the eigenforms of a beam on elastic support parts. Elastic support parts made of rubber and laminated metal plates find a wide use for seismic isolation of bridges in earthquake-resistant construction. Determination of eigenforms of structures is the main stage when designing the buildings and structures for resisting the seismic impacts. The span structure of girder bridges is considered as a system of uniformly distributed load, the free vibrations of which are described by a homogeneous fourth-order partial differential equation. By solving the differential equation, formulas for determining the eigenforms of a beam on elastic support parts were obtained. The reliability of the obtained formulas is confirmed with the substitution of other boundary conditions of the beam. The formulas obtained are considered as a general case, and from them the special cases for different ways of fixing of beams can be obtained.
© The Authors, published by EDP Sciences, 2021
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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