Frequency method-based suspender tension determining method

Abstract

The invention discloses a frequency method-based suspender tension determining method. The method comprises the following steps of: measuring the transverse vibration frequency omega of a suspender; and acquiring suspender tension according to an analytical expression between the suspender tension T and the transverse vibration frequency omega under the condition of complex boundaries, wherein inthe analytical expression, K'g=Kg+K1, K'X=KX+K2, Mg is equivalent mass of an arch rib, Mx is equivalent mass of a tie beam, the Kg is axial equivalent rigidity of the arc rib to the suspender, the Kxis axial equivalent rigidity of the tie beam to the suspender, the K1 is axial equivalent rigidity of an anti-vibration pad in the arc rib to the suspender, the K2 is axial equivalent rigidity of an anti-vibration pad in the tie beam to the suspender, K3 is rotary equivalent rigidity of the arc rib to the suspender, K4 is rotary equivalent rigidity of the tie beam to the suspender, m is mass of the suspender in unit length, EI is flexural rigidity of the suspender, and L is calculated length of the suspender. By the method, boundary constraints such as additional mass, elastic supporting and the like of the suspender are relatively fully considered, and calculation results are relatively accurate for both short suspenders and long suspenders in spite of complicated forms.

Description

technical field [0001] The invention relates to the technical field of suspender tension measurement, in particular to a suspender tension measurement method based on a frequency method. Background technique [0002] Suspenders are important force-transmitting components of mid- and under-through arch bridges, and their tension is a sensitive indicator of the safety status of mid- and under-through arch bridges. In the health monitoring of the middle and lower arch bridges, the health status of the middle and lower arch bridges can be judged by the change of the suspender tension. Obviously, the accuracy of the judgment results is closely related to the test accuracy of the suspender tension. [0003] Commonly used boom tension measurement methods include pressure gauge measurement method, pressure sensor measurement method, static strain measurement method, vibration measurement method, etc. The pressure gauge measurement method refers to measuring the hydraulic pressure o...

AI Technical Summary

Problems solved by technology

The vibration method mainly calculates the tension of the suspender by testing the transverse vibration frequency of the suspender. The existing calculation formula is developed based on the string vibration theory. For the long suspender under simple boundary conditions, the tension calculation is more accurate, but for the For short suspenders of arch bridges, it cannot be directly applied due to the high stiffness of the suspenders and complex boundary conditions. If the simplified boundary conditions or the segmental fitting method are used to calculate the tension of the suspenders, the simplified boundary conditions will affect the calculation results. The size of the error cannot be estimated, the accuracy is difficult to guarantee, and the scope of application is limited

The segmental fitting method does not have continuity at the segment, and iteration is required when solving the suspender tension, and for different types of suspenders, the fitting formula is different, which is inconvenient to apply

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