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Solving method for inhaul cable bending vibration frequency under elastic boundary conditions

A boundary condition, bending vibration technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve the problems of cable bending vibration frequency error, low accuracy, error, etc.

Active Publication Date: 2018-11-06
NINGBO UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, in fact, the boundary conditions at both ends of the cable are not ideal simply supported and fixedly supported, but between simply supported and fixedly supported. If the tower is connected, the anchorage method in the project is relatively complicated, and the boundary conditions at both ends of the cable are assumed to be fixed or simply supported boundaries. This assumption has a large error with the actual boundary constraints, which leads to the obtained cable There is a large error in the bending vibration frequency, and the accuracy is not high

Method used

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  • Solving method for inhaul cable bending vibration frequency under elastic boundary conditions
  • Solving method for inhaul cable bending vibration frequency under elastic boundary conditions
  • Solving method for inhaul cable bending vibration frequency under elastic boundary conditions

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Embodiment

[0060] Embodiment: a method for solving the bending vibration frequency of a cable under elastic boundary conditions, comprising the following steps:

[0061] (1) Obtain the performance parameters of the cable to be detected and construct the cable vibration partial differential equation based on the obtained performance parameters of the cable:

[0062]

[0063] In formula (1), x represents the vibration displacement of the cable to be detected, x∈[0,L], L represents the length of the cable to be detected, T represents the design value of the cable force to be detected, and E represents the Elastic modulus of the cable, I represents the section moment of inertia of the cable to be detected, ρ represents the density of the cable to be detected, A represents the cross-sectional area of ​​the cable to be detected, t represents the vibration time of the cable to be detected, u(x ,t) represents the displacement function of each point of the cable to be detected changing with ti...

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Abstract

The invention discloses a solving method for inhaul cable bending vibration frequency under elastic boundary conditions. According to the method, first, performance parameters of a to-be-detected inhaul cable are acquired, and an inhaul cable vibration partial differential equation is constructed based on the acquired performance parameters of the inhaul cable; second, a variable separation methodis adopted to simplify the inhaul cable vibration partial differential equation to obtain an inhaul cable vibration differential equation, the elastic boundary conditions of inhaul cable vibration are established, and a vibration mode function of the inhaul cable is expanded in the form of Chebyshev series; third, a characteristic equation of inhaul cable vibration is obtained based on the vibration mode function of the inhaul cable and the elastic boundary conditions; and last, a frequency equation of the inhaul cable is obtained based on the characteristic equation of inhaul cable vibration, and the frequency equation is solved to obtain vibration frequency of the inhaul cable. The method has the advantage that accuracy is high.

Description

technical field [0001] The invention relates to a method for solving the bending vibration frequency of a cable, in particular to a method for solving the bending vibration frequency of a cable under elastic boundary conditions. Background technique [0002] At present, in order to ensure the safe use of bridges, it is usually necessary to monitor various indicators of bridges. As the bending vibration of the cable is one of the important monitoring indicators of bridge engineering, it is usually assumed that the boundary conditions at both ends of the cable are ideal fixed or simply supported conditions to calculate the vibration frequency of the cable. However, in fact, the boundary conditions at both ends of the cable are not ideal simply supported and fixedly supported, but between simply supported and fixedly supported. If the tower is connected, the anchorage method in the project is relatively complicated, and the boundary conditions at both ends of the cable are ass...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/17G06F30/13
Inventor 陈跃华冯志敏闫伟张刚胡海刚程鹏
Owner NINGBO UNIV