On the Probabilistic Characteristics of A Two Lane Slab-Type-Bridge Response Due to Traffic Flow

Lionel Merveil Anague Tabejieu; Blaise Romeo Nana Nbendjo

doi:10.33187/jmsm.437666

EN

On the Probabilistic Characteristics of A Two Lane Slab-Type-Bridge Response Due to Traffic Flow

Abstract

In this study, the two first probabilistic characteristics of a two lane slab-type-bridge response due to traffic flow is investigated. A two lane slab-type-bridge is modelled by a Simply Supported (SS) thin rectangular plate with two separate rectilinear paths. The modelling of the traffic flow is based on the assumption that two opposite series of vehicles of random weights arrive at the bridge at random times that constitute the Poisson stochastic process and with the stochastic velocities. The expected value and the standard deviation of the bridge deflection are obtained. We demonstrate that the bridge safety strongly depends to the mean value and to the standard deviation of the vehicles velocities.

Keywords

Two lane slab-type-bridge,Thin rectangular plate,Traffic flow,Bridge deflection

References

[1] L. Fryba, Vibration of Solids and Structures under Moving Load, Thomas Telford, London, 1999.
[2] H. Ouyang, Moving load dynamic problems: a tutorial (with a brief overview), Mechanical Systems and Signal Processing, 25 (2011), 2039-2060.
[3] A. Nikkhoo, F. R. Rofooei, Parametric study of the dynamic response of thin rectangular plates traversed by a moving mass, Acta Mechanica, 223 (2012), 15-27.
[4] J.-J. Wu, Vibration analyses of an inclined flat plate subjected to moving loads, Journal of Sound and Vibration, 299 (2007), 373-387.
[5] J. Vaseghi Amiri, A. Nikkhoo, M. R. Davoodi, M. Ebrahimzadeh Hassanabadi, Vibration analysis of a Mindlin elastic plate under a moving mass excitation by eigenfunction expansion method, Thin-Walled Structures, 62 (2012), 53-64.
[6] X. Q. Zhu, S. S. Law, Dynamic Behavior of Orthotropic Rectangular Plates under Moving Loads, Journal of Engineering Mechanics, 129 (2007), 79-87.
[7] A. Nikkhoo, M. Ebrahimzadeh Hassanabadi, S. Eftekhar Azamc, J. Vaseghi Amiri, Vibration of a thin rectangular plate subjected to series of moving inertial loads, Mechanics Research Communications, 55 (2014), 105-113.
[8] A. Rystwej, P. ´Sniady, Dynamic response of an infinite beam and plate to a stochastic train of moving forces, Journal of Sound and Vibration, 299 (2007), 1033-1048.
[9] M. Li, T. Qian, Y. Zhong, H. Zhong, Dynamic Response of the Rectangular Plate Subjected to Moving Loads with Variable Velocity, Journal of Engineering Mechanics, 140 (2013), 06014001.
[10] S. P. Timoshenko, Theory of Plates and Shells, Wiley, New York, 1959.

[11] P. ´Sniady, S. Biernat, R. Sieniawska, S. Zukowski, Vibrations of the beam due to a load moving with stochastic velocity, Probabilistic Engineering Mechanics, 16 (2001), 53-59.
[12] L. M. Anague Tabejieu, B. R. Nana Nbendjo, G. Filatrella, P. Woafo, Amplitude stochastic response of Rayleigh beams to randomly moving loads, Nonlinear Dynamics, 89 (2017), 925-937.
[13] W.-C. Xie, Dynamic stability of structures, Cambridge university press, New York, 2006.
[14] P. ´Sniady, S. Biernat, R. Sieniawska, S. Zukowski, Vibrations of the beam due to a load moving with stochastic velocity, Probabilistic Engineering Mechanics, 16 (2001), 53-59.
[15] R. J. Salter, Highway Trafic Analysis and Design, Macmillan, London, 1976.
[16] D. Bryja, P. ´Sniady, Spatially coupled vibrations of a suspension bridge under random Highway traffic, Earthquake Engineering and Structural Dynamics, 20 (1991), 995-1010.
[17] L. M. Anague Tabejieu, B. R. Nana Nbendjo, U. Dorka, Identification of horseshoes chaos in a cable-stayed bridge subjected to randomly moving loads, International Journal of Non-Linear Mechanics, 85 (2016), 62-69.
[18] M. Kami´nski, The Stochastic Perturbation Method for Computational Mechanics, John Wiley & Sons Ltd, United Kingdom, 2013.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Lionel Merveil Anague Tabejieu ^*
Cameroon

Blaise Romeo Nana Nbendjo
Cameroon

Publication Date

August 30, 2019

Submission Date

June 27, 2018

Acceptance Date

March 21, 2019

Published in Issue

Year 2019 Volume: 2 Number: 2

DOI

https://doi.org/10.33187/jmsm.437666

IZ

https://izlik.org/JA35LR49CS

APA

Anague Tabejieu, L. M., & Nana Nbendjo, B. R. (2019). On the Probabilistic Characteristics of A Two Lane Slab-Type-Bridge Response Due to Traffic Flow. Journal of Mathematical Sciences and Modelling, 2(2), 125-132. https://doi.org/10.33187/jmsm.437666

AMA

1.Anague Tabejieu LM, Nana Nbendjo BR. On the Probabilistic Characteristics of A Two Lane Slab-Type-Bridge Response Due to Traffic Flow. Journal of Mathematical Sciences and Modelling. 2019;2(2):125-132. doi:10.33187/jmsm.437666

Chicago

Anague Tabejieu, Lionel Merveil, and Blaise Romeo Nana Nbendjo. 2019. “On the Probabilistic Characteristics of A Two Lane Slab-Type-Bridge Response Due to Traffic Flow”. Journal of Mathematical Sciences and Modelling 2 (2): 125-32. https://doi.org/10.33187/jmsm.437666.

EndNote

Anague Tabejieu LM, Nana Nbendjo BR (August 1, 2019) On the Probabilistic Characteristics of A Two Lane Slab-Type-Bridge Response Due to Traffic Flow. Journal of Mathematical Sciences and Modelling 2 2 125–132.

IEEE

[1]L. M. Anague Tabejieu and B. R. Nana Nbendjo, “On the Probabilistic Characteristics of A Two Lane Slab-Type-Bridge Response Due to Traffic Flow”, Journal of Mathematical Sciences and Modelling, vol. 2, no. 2, pp. 125–132, Aug. 2019, doi: 10.33187/jmsm.437666.

ISNAD

Anague Tabejieu, Lionel Merveil - Nana Nbendjo, Blaise Romeo. “On the Probabilistic Characteristics of A Two Lane Slab-Type-Bridge Response Due to Traffic Flow”. Journal of Mathematical Sciences and Modelling 2/2 (August 1, 2019): 125-132. https://doi.org/10.33187/jmsm.437666.

JAMA

1.Anague Tabejieu LM, Nana Nbendjo BR. On the Probabilistic Characteristics of A Two Lane Slab-Type-Bridge Response Due to Traffic Flow. Journal of Mathematical Sciences and Modelling. 2019;2:125–132.

MLA

Anague Tabejieu, Lionel Merveil, and Blaise Romeo Nana Nbendjo. “On the Probabilistic Characteristics of A Two Lane Slab-Type-Bridge Response Due to Traffic Flow”. Journal of Mathematical Sciences and Modelling, vol. 2, no. 2, Aug. 2019, pp. 125-32, doi:10.33187/jmsm.437666.

Vancouver

1.Lionel Merveil Anague Tabejieu, Blaise Romeo Nana Nbendjo. On the Probabilistic Characteristics of A Two Lane Slab-Type-Bridge Response Due to Traffic Flow. Journal of Mathematical Sciences and Modelling. 2019 Aug. 1;2(2):125-32. doi:10.33187/jmsm.437666