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Analysis of Parametrically Excited Vibration of Cable in Cable-Stayed Bridges

Author: FuZhi
Tutor: ZhangZuoChang
School: Tianjin University
Course: Engineering Mechanics
Keywords: Cable-stayed bridge Parametric excitation vibration Nonlinear Multi-scale Modal coupling
CLC: U441.3
Type: Master's thesis
Year: 2009
Downloads: 32
Quote: 0
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Large span cable quality, stiffness, damping, easily vibrate under the various incentive. Bridge rope bridge deck displacement excitation parametrically excited vibration is one of its main form of vibration. By parsing, numerical and experimental method of combining the phenomenon of parametric excitation vibration of the the cable lower modes and the first two order mode coupling analysis, explore the cable parametrically excited vibration mechanism. This paper is divided into five chapters, as follows: The first chapter is an introduction to the various nonlinear vibration of cable concept paper focuses on the concept of parametric excitation vibration Research. Chapter summarizes been proposed cable vibration equation, taking into account nonlinear effects in the amount of tension change in the process of cable vibration, and select the appropriate axial moving coordinate system, continuous cable-stayed Finally, according to the elasticity cable parametrically excited vibration single stage mode and a second-order nonlinear mode coupling vibration equation and partial differential equations into ordinary differential equations by the Galerkin method. Chapter multi-scale approach are discussed in the non-resonant, the first primary resonance, the second primary resonance, the primary resonance of the first order parametric excitation and second-order parametric excitation primary resonance several cases, the cable-stayed single order modal equations and two-stage the modal coupling equations established average equation; Substituting the values ??of the parameters of the bridge cable, on average equation analytical solution, and draw order modal vibration parameters of bifurcation diagram; Finally, we use the Mathematica program to draw the original differential equation phase diagram and the time course curve and compared with the analytical solution validation. This chapter describes the various resonance conditions, and the main resonance and parametric excitation the main resonance vibration mechanism were analyzed and compared, and cable with parametric excitation vibration phenomenon made a good explanation. Chapter designed cable with parametric excitation vibration test, the first to use the DASP software testing wire rope the first two primary resonance region and the first two orders parametrically excited vibration of the main resonance region from spectral analysis chart and time history curve and analyzed; then increment or decrement to change the method of parametric excitation vibration parameters to test the curve of the wire rope in the experiment with parametric excitation parameter bifurcation of the main resonance region; Finally, on behalf of the various parameter values ??into the test, the use of the method of the Chapter computing solution with experimental compared verify. Chapter summarize Looking.

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CLC: > Transportation > Road transport > Bridges and Culverts > Structural principles, structural mechanics > Bridge vibration and damping device
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