Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation. (19th October 2014)

• Record Type: Journal Article
• Authors: Qian, C. Z.; Chen, C. P.; Zhou, G. W.
• Other Names: Ashrafi Ali R. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-10-19
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/183257
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : Considering the deck vibration effect on the cable in cable-stayed bridge, using nonlinear structure dynamics theory, the nonlinear dynamical equation for the stayed cable excited with deck vibration is proposed. Research shows that the vertical vibration of the deck has a combined parametric and forced excitation effect on the cable when the angle of the cable is taken into consideration. Using multiscale method, the 1/2 principle parametric resonance is studied and the bifurcation equation is obtained. Despite the parameters analysis, the bifurcation characters of the dynamical system are studied. At last, by means of numerical method and software MATHMATIC, the effect rules of system parameters to the dynamical behavior of the system are studied, and some useful conclusions are obtained.