Method for quickly analyzing damping characteristics of large-span suspension bridge
A technology for rapid analysis and damping characteristics, applied in special data processing applications, complex mathematical operations, instruments, etc., it can solve the problems of the evolution law of the damping characteristics of difficult suspension bridges, and the inability to give the damping ratio of suspension bridges, achieving simple process and high calculation efficiency. and the effect of precision
Pending Publication Date: 2020-10-16
NORTHWESTERN POLYTECHNICAL UNIV
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However, the existing research work has not been able to give the expression of the damping ratio of the suspension bridge in an analytical or semi-analytic way, and usually can only be obtained through actual measurement, so it is difficult to give the evolution law of the damping characteristics of the suspension bridge from the mechanism
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[0040] see figure 1 — figure 2 , a fast analysis method for damping characteristics of long-span suspension bridges, characterized in that the method comprises the following steps:
[0041] The first step: according to figure 1 In the dynamic model shown, first set the damping coefficient c = 0, and calculate the additional cable force h of the main cable and the dimensionless mode shape function
[0042] The second step: according to the continuity condition of the node displacement and the balance condition of the node force, through Calculate the dynamic stiffness matrix K of the undamped system of the suspension bridge;
[0043] The third step: use the numerical iterative algorithm to solve the system frequency equation det(K(ω))=0, the root of the transcendental equation corresponds to the undamped modal frequency ω of the suspension bridge;
[0044] Step 4: Calculate the damping ratio ζ and modal damping frequency ω of the suspension bridge D .
[0045] It can ...
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The invention discloses a method for analyzing damping characteristics of a large-span suspension bridge. The method comprises the steps that firstly, giving a simplified kinetic model and a motion differential equation of the large-span suspension bridge; solving a dynamic stiffness matrix and a frequency equation of the system according to a dynamic stiffness method; solving the frequency equation based on a numerical iterative algorithm so as to obtain the undamped modal frequency of the suspension bridge; and finally, giving closed-form solutions of the modal damping ratio and the dampingfrequency of the system, and establishing a function relationship among the modal damping ratio, the viscous damping coefficient and the undamped modal frequency of the system. The method is simple inprocess and clear in physical significance, all intermediate variables are given in a closed form, and higher calculation precision and efficiency are achieved. The method is high in solving precision and high in efficiency, can be reliably applied to damping characteristic analysis of the large-span suspension bridge, and provides a theoretical basis for research work of dynamic topics such as vibration control and health monitoring of the structure.
Description
technical field [0001] The invention belongs to the field of bridge engineering and relates to a rapid analysis method for the damping characteristics of a long-span suspension bridge, and is especially suitable for the rapid analysis of the damping ratio and modal frequency of the suspension bridge. Background technique [0002] Due to its low damping, low stiffness and light weight, long-span suspension bridges are very sensitive to wind effects, so they are prone to large-scale wind effects under external wind loads, and even cause wind-induced disasters to the structure. Because the main girder and other components of the suspension bridge are prone to vortex-induced vibration at low wind speeds, it is easy to cause fatigue damage to the components and affect the service life of the structure. In addition, vortex-induced vibration will also reduce driving comfort and cause unnecessary panic for pedestrians. In order to reveal the vortex vibration mechanism of suspension...
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IPC IPC(8): G06F30/13G06F17/13G06F119/14
CPCG06F30/13G06F17/13G06F2119/14
Inventor 韩飞邓子辰
Owner NORTHWESTERN POLYTECHNICAL UNIV