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Advances in Civil Engineering Volume 2019 ,2019-10-16
Vibration Theoretical Analysis of Elastically Connected Multiple Beam System under the Moving Oscillator
Research Article
Binbin He 1 , 2 Yulin Feng 3 , 4
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DOI:10.1155/2019/4950841
Received 2019-07-30, accepted for publication 2019-09-19, Published 2019-09-19
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摘要

To investigate the vibration analysis of elastically connected multiple beam system (ECMB) under the moving oscillator, finite sine-Fourier transform has been applied to the dynamic partial differential equations of ECMB with respect to space coordinates. Then, the numerical integration has been used to solve the equations. Finally, the expression for vibration analysis of ECMB under the moving oscillator has been derived based on finite sine-Fourier inverse transform. Using the method developed in this study and ANSYS numerical method, the vibration analysis of a four-layer beam system under moving oscillator with different speeds has been calculated. The results show that the calculated results from the method developed in this study are in good agreement with the ANSYS numerical calculation results, and the differences between the two calculation results are all less than 2%, which verified the correctness of the method developed in this study. The method developed in this study has been applied to the beam-rail system on a railway line in China. The effect of the train speed and interlayer stiffness on the vibration of beam-rail system has been investigated. The results show that the maximum dynamic deflection of the rail under the train load is always near the midspan, while the maximum dynamic deflections of the track plate, base plate, and bridge occur after the train travel through the midspan. The interlayer stiffness has a larger impact on the vibration of the rail and the track plate and little impact on the vibration of the base plate and the bridge.

授权许可

Copyright © 2019 Binbin He and Yulin Feng. 2019
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

通讯作者

Yulin Feng.School of Civil Engineering, Central South University, Changsha 410075, China, csu.edu.cn;National Engineering Laboratory for High Speed Railway Construction, Changsha 410075, China, csu.edu.cn.fylin119@csu.edu.cn

推荐引用方式

Binbin He,Yulin Feng. Vibration Theoretical Analysis of Elastically Connected Multiple Beam System under the Moving Oscillator. Advances in Civil Engineering ,Vol.2019(2019)

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参考文献
[1] H. Gou, W. Zhou, Y. Bao, X. Li. et al.(2018). Experimental study on dynamic effects of a long-span railway continuous beam bridge. Applied Sciences.8(5):669. DOI: 10.1061/(asce)em.1943-7889.0001341.
[2] M. W. Hyer, W. J. Anderson, R. A. Scott. (1978). Non-linear vibrations of three-layer beams with viscoelastic cores, II: Experiment. Journal of Sound and Vibration.61(1):25-30. DOI: 10.1061/(asce)em.1943-7889.0001341.
[3] M. Ghafarian, A. Ariaei. (2016). Free vibration analysis of a system of elastically interconnected rotating tapered Timoshenko beams using differential transform method. International Journal of Mechanical Sciences.107:93-109. DOI: 10.1061/(asce)em.1943-7889.0001341.
[4] Q. Mao. (2012). Free vibration analysis of elastically connected multiple-beams by using the Adomian modified decomposition method. Journal of Sound and Vibration.331(11):2532-2542. DOI: 10.1061/(asce)em.1943-7889.0001341.
[5] X. P. Wang, M. S. Li. (2014). Analysis of vertical dynamic response of simply supported beam traversed by successive moving loads. Applied Mechanics and Materials.556–562:751-754. DOI: 10.1061/(asce)em.1943-7889.0001341.
[6] H. Bakhshi Khaniki, S. Hosseini-Hashemi. (2017). The size-dependent analysis of multilayered microbridge systems under a moving load/mass based on the modified couple stress theory. The European Physical Journal Plus.132(5):200. DOI: 10.1061/(asce)em.1943-7889.0001341.
[7] Y. Wu, Y. Gao. (2016). Dynamic response of a simply supported viscously damped double-beam system under the moving oscillator. Journal of Sound and Vibration.384:194-209. DOI: 10.1061/(asce)em.1943-7889.0001341.
[8] S. H. Hashemi, H. B. Khaniki. (2018). Dynamic response of multiple nanobeam system under a moving nanoparticle. Alexandria Engineering Journal.57(1):343-356. DOI: 10.1061/(asce)em.1943-7889.0001341.
[9] Y. Wu, Y. Gao. (2015). Analytical solutions for simply supported viscously damped double-beam system under moving harmonic loads. Journal of Engineering Mechanics.141(7). DOI: 10.1061/(asce)em.1943-7889.0001341.
[10] Z. Huang, L. Z. Jiang, Y. F. Chen, Y. Luo. et al.(2019). Experimental study on the seismic performance of concrete filled steel tubular laced columns. Steel and Composite Structures.26(6):719-731. DOI: 10.1061/(asce)em.1943-7889.0001341.
[11] S. S. Rao. (1974). Natural vibrations of systems of elastically connected Timoshenko beams. The Journal of the Acoustical Society of America.55(6):1232-1237. DOI: 10.1061/(asce)em.1943-7889.0001341.
[12] Z. Ba, Z. Kang, J. Liang. (2018). In-plane dynamic Green’s functions for inclined and uniformly distributed loads in a multi-layered transversely isotropic half-space. Earthquake Engineering and Engineering Vibration.17(2):293-309. DOI: 10.1061/(asce)em.1943-7889.0001341.
[13] M. H. Kargarnovin, M. T. Ahmadian, R.-A. Jafari-Talookolaei. (2013). Analytical solution for the dynamic analysis of a delaminated composite beam traversed by a moving constant force. Journal of Vibration and Control.19(10):1524-1537. DOI: 10.1061/(asce)em.1943-7889.0001341.
[14] Y. Zheng, H. Zhong, Y. Fang, W. Zhang. et al.(2019). Rockburst prediction model based on entropy weight integrated with grey relational BP neural network. Advances in Civil Engineering.2019-8. DOI: 10.1061/(asce)em.1943-7889.0001341.
[15] L. Jiang, Y. Feng, W. Zhou, B. He. et al.(2019). Vibration characteristic analysis of high-speed railway simply supported beam bridge-track structure system. Steel and Composite Structures.31(6):591-600. DOI: 10.1061/(asce)em.1943-7889.0001341.
[16] Y. X. Li, L. Z. Sun. (2017). Active vibration control of elastically connected double-beam systems. Journal of Engineering Mechanics.143(9). DOI: 10.1061/(asce)em.1943-7889.0001341.
[17] W. Guo, Z. Zhai, Z. Yu, F. Chen. et al.(2019). Experimental and numerical analysis of the bolt connections in a low-rise precast wall panel structure system. Advances in Civil Engineering.2019-22. DOI: 10.1061/(asce)em.1943-7889.0001341.
[18] S. Hosseini Hashemi, H. Bakhshi Khaniki. (2017). Dynamic behavior of multi-layered viscoelastic nanobeam system embedded in a viscoelastic medium with a moving nanoparticle. Journal of Mechanics.33(5):559-575. DOI: 10.1061/(asce)em.1943-7889.0001341.
[19] S. G. Kelly, S. Srinivas. (2009). Free vibrations of elastically connected stretched beams. Journal of Sound and Vibration.326(3–5):883-893. DOI: 10.1061/(asce)em.1943-7889.0001341.
[20] D. Mu, D.-H. Choi. (2014). Dynamic responses of a continuous beam railway bridge under moving high speed train with random track irregularity. International Journal of Steel Structures.14(4):797-810. DOI: 10.1061/(asce)em.1943-7889.0001341.
[21] V. Stojanović, P. Kozić, G. Janevski. (2013). Exact closed-form solutions for the natural frequencies and stability of elastically connected multiple beam system using Timoshenko and high-order shear deformation theory. Journal of Sound and Vibration.332(3):563-576. DOI: 10.1061/(asce)em.1943-7889.0001341.
[22] S. Eftekhar Azam, M. Mofid, R. Afghani Khoraskani. (2013). Dynamic response of timoshenko beam under moving mass. Scientia Iranica.20(1):50-56. DOI: 10.1061/(asce)em.1943-7889.0001341.
[23] A. Ariaei, S. Ziaei-Rad, M. Ghayour. (2011). Transverse vibration of a multiple-Timoshenko beam system with intermediate elastic connections due to a moving load. Archive of Applied Mechanics.81(3):263-281. DOI: 10.1061/(asce)em.1943-7889.0001341.
[24] B. Biondi, G. Muscolino, A. Sofi. (2005). A Substructure Approach for the Dynamic Analysis of Train-Track-Bridge System. DOI: 10.1061/(asce)em.1943-7889.0001341.
[25] C. P. S. Kumar, C. Sujatha, S. Krishnapillai. (2016). Non-uniform Euler-Bernoulli beams under a single moving oscillator: an approximate analytical solution in time domain. Journal of Mechanical Science and Technology.30(10):4479-4487. DOI: 10.1061/(asce)em.1943-7889.0001341.
[26] G. Muscolino, A. Palmeri, A. Sofi. (2009). Absolute versus relative formulations of the moving oscillator problem. International Journal of Solids and Structures.46(5):1085-1094. DOI: 10.1061/(asce)em.1943-7889.0001341.
[27] G. Muscolino, A. Palmeri. (2007). Response of beams resting on viscoelastically damped foundation to moving oscillators. International Journal of Solids and Structures.44(5):1317-1336. DOI: 10.1061/(asce)em.1943-7889.0001341.
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