Dynamic response of double-beam system with nonlinear viscoelastic layer to moving load
Authors:
- Piotr Koziol,
- Rafał Pilecki
Abstract
In previous papers, the problem of double-beam system resting on viscoelastic foundation was solved with the assumption of nonlinear foundation stiffness. This multilayer model finds application in railway modelling, where rails are represented by the infinite Euler-Bernoulli beams and sleepers are modelled as a rigid body. In this paper, another assumption is made. The layer connecting two Euler-Bernoulli beams has nonlinear stiffness. This assumption is related to laboratory tests of fastening systems. These tests show that the stiffness of fasteners and rail pads is nonlinear and this factor should be taken into account in detailed analysis of dynamic features. Therefore inclusion of nonlinearity in double-beam system is justified. The physical model presented in this paper consists of two infinitely long beams connected by viscoelastic layer with nonlinear stiffness and resting on viscoelastic foundation. The mathematical model is described by two coupled fourth order partial differential equations of motion with homogeneous boundary conditions. The system is solved by using the Fourier transform and Adomian’s decomposition, combined with the wavelet based approximation of the response using Coiflet filters. The error index for Adomian series is proposed and the approximate solution for vertical vibrations is shown along with computational examples for some systems of parameters.
- Record ID
- CUT79aec9619c724f11b76fa5ee957de784
- Publication categories
- ; ;
- Author
- Journal series
- MATEC Web of Conferences, ISSN , e-ISSN 2261-236X, Irregular
- Issue year
- 2018
- Vol
- 211
- Pages
- [1-6]
- Article number
- 11008
- Other elements of collation
- wykr.; Bibliografia (na s.) - 6; Bibliografia (liczba pozycji) - 12; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 211
- Substantive notes
- Section: ML: Vibration of Solids and Structures under Moving Loads
- Conference
- 14th International Conference on Vibration Engineering and Technology of Machinery (VETOMAC XIV), 2018, 10-09-2018 - 13-09-2018, Lisbon, Portugalia
- Keywords in English
- double beam system, nonlinear foundation, moving load
- DOI
- DOI:10.1051/matecconf/201821111008 Opening in a new tab
- URL
- https://www.matec-conferences.org/articles/matecconf/abs/2018/70/matecconf_vetomacxiv2018_11008/matecconf_vetomacxiv2018_11008.html Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 15
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT79aec9619c724f11b76fa5ee957de784/
- URN
urn:pkr-prod:CUT79aec9619c724f11b76fa5ee957de784
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