Nonlinear Vibration Characteristics of Flexible Suspension Bridge under Moving Load

Rui Lan Tian; Xin Wei Yang

doi:10.4028/www.scientific.net/AMR.179-180.1025

Paper Titles

Network Security Situation Analysis Aimed at Distributed Attack
p.1005

An Image Information Extraction Algorithm for Salt and Pepper Noise on Fractional Differentials
p.1011

Damage Severity Assessment Using Modified BP Neural Network
p.1016

Integrated Shift Strategies of Automatic Mechanical Transmission
p.1021

Nonlinear Vibration Characteristics of Flexible Suspension Bridge under Moving Load
p.1025

Research of Process on Making Bamboo Particle Board by Laccase-Treated Calcium Lignosulfonate
p.1031

Research on Time-Efficiency Oriented Mechanism of After-Sale Service Logistics Operation - China's Automobile Maintenance Industry as Example
p.1037

Study on the Application of Low Density SMC for Automotive
p.1042

Semi-Cylindrical Hyperlens Made of Al/MgO for 20nm Lithography Node
p.1047

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 179-180Nonlinear Vibration Characteristics of Flexible...

Nonlinear Vibration Characteristics of Flexible Suspension Bridge under Moving Load

Abstract:

The system model of flexible suspension bridge under several moving loads was founded according to SD oscillator with time –dependent stiffness. The model was simulated by the software MATLAB and the nonlinear dynamic behaviors of the system with different velocities were analyzed. Bifurcation diagram of the system is obtained with the changing of vehicle speed; meanwhile the phase trajectories and the Poincaré sections are also presented. The result shows the complicated nonlinear dynamics with periodic motion, quasi-periodic phenomena and chaos, the occurrence alternatively among these quasi-period and chaos, which reveals the reason that causes the S-shape deformation of flexible suspension bridge under moving load easily.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 179-180)

Pages:

1025-1030

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.179-180.1025

Citation:

Cite this paper

Online since:

January 2011

Authors:

Rui Lan Tian, Xin Wei Yang

Keywords:

Chaos, Mid-Span Deflection, Nonlinear Dynamic System, SD Oscillator with Time–Dependent Stiffness

Export:

RIS, BibTeX

Price:

Permissions:

Request Permissions

References

[1] Song Y.F., Dynamics of highway bridge. China Communications Press, Beijing (2000).

Google Scholar

[2] Li G.H., Steady and vibration of bridge structure. China Railroad Press, Beijing (1996).

Google Scholar

[3] Ma'rio S. T. De Freitas, Ricardol. Viana, Celso Grebogi, Basins of attraction of periodic oscillations in suspension bridges, Nonlinear Dynamics, vol 37, 2004, p.207–226.

DOI: 10.1023/b:nody.0000044645.69344.ac

Google Scholar

[4] Ma'rio S. T. De Freitas, Ricardol. Viana, Celso Grebogi, Multistability, basin boundary structure, and chaotic behavior in a suspension bridge model, International Journal of Bifurcation and Chaos, vol. 14, 2004, pp.927-950.

DOI: 10.1142/s0218127404009636

Google Scholar

[5] J. Glover, A.C. Lazer, P.J. McKenna, Existence and stability of large scale nonlinear oscillations in suspension bridges, Journal of Applied Mathematics and Physics (ZAMP), vol. 40, 1989, pp.172-200.

DOI: 10.1007/bf00944997

Google Scholar

[6] Zheng Lifeng et al, Design Theory and Applied Study on a Flexible Suspension Bridge V1：Mathematical Models for the Cable System Design of Flexible Suspension Bridge, Journal of Northeast Forestry University, vol. 33, 2005, pp.49-51.

Google Scholar

[7] Guan Yinsheng et al, Design Theory and Applied Study on Flexible Suspension Bridges（Ⅶ）: a VB-based Designing System for Cable of Flexible Suspension Bridge, Journal of Northeast Forestry University, vol. 34, 2006, pp.73-75.

Google Scholar

[8] Guan Yinsheng, Zhou Xinnian, VBA-based Drawing System for the General Arrangement of Flexible Suspension Bridge, Forest Engineering, vol. 22, 2006, pp.32-34.

Google Scholar

[9] Ruilan Tian, Qingjie Cao, Shaopu Yang, The codimension-two bifurcation for the recent proposed SD oscillator, Nonlinear Dynamics, Nonlinear Dynamics, vol. 59, 2010, pp.19-27.

DOI: 10.1007/s11071-009-9517-9

Google Scholar