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The Research of Parametric Vibration of Inclined Cable and the Influence between Two Cables

Author: WangTao
Tutor: ZhaoYueYu
School: Hunan University
Course: General and Fundamental Mechanics
Keywords: Arch bridge Coupling Parametric vibration Direct integration method Mode superposition Stability
CLC: U443.38
Type: Master's thesis
Year: 2009
Downloads: 114
Quote: 0
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Abstract

The cable-stayed arch bridge and cable-stayed bridge span structure in a very important member of the force, which bear most of the load in the structure. Occurrence of various forms of vibration due to the the cable stays stiffness, damping is low, so the loads can easily be summed speak the following two categories reasons: (1) Wind - Rain excitation; (2) the parametric excitation . The observations show that the case of small, individual cable sometimes occur very severe lateral vibration, no wind or wind load. Intuitive to think that this vibration load directly motivated by the wind, but it is difficult to explain the cable no wind since vibration or breeze severe vibration of the facts, so you can think the Lasso of this vibration is by the vibration of the bridge deck and bridge tower or for some other reason, the excited. Vibration of the cable-stayed parameters, according to the incentives in the form of different, can be divided into two categories: The first category is the ideal excitation source, the amplitude and frequency of that incentive is not subject to the the Lasso response of impact, vibration process, in accordance with The specified change; second class of non-ideal excitation source, that the quality of the cable can not be ignored in the process of vibration, cable vibration and the vibration of the bridge deck is coupled to each other, obviously, with the increased bridge span, cable longer length, the latter is closer to the real system. Combining these facts, to carry out the following tasks: (1) the use of finite element software ANSYS space finite element model of the arch bridge modal analysis model based on modal superposition and direct integration obtained a harmonic excitation and seismic loads arch bridge transient time history response, response to incentives as cable and cable-stayed deck connections displacement input, upcoming deck response fitted function thus more real analog cable parameter vibration cable parameter vibration excitation amplitude and structural damping. (2) primary parametric resonance, using a single cable axial excitation model, using the Galerkin method and multi-scale method to a more detailed discussion of the stability of the cable-stayed steady movement and get the cable vibration amplitude-frequency response and increase the amplitude response curve can be seen from many cable nonlinear vibration characteristic phenomenon: multi-valued; jump, and so on. (3) arch bridge model based on parameters extracted from the mass of the double cable vibration model, on a double cable mass coupled equations of motion base, demonstrated by the changes the Lasso inherent frequency and the initial conditions oblique pull-arch bridge in the interaction between the vibration process, the rope bridge coupling as well as cable.

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