Cable tension calculation method simultaneously considering sag, inclination angle and bending stiffness

A cable tension calculation method simultaneously considering the sag, inclination angle and bending stiffness, comprising:

• Step 1, querying basic parameters of a stay cable from the structural health monitoring systems of bridges according to design data or construction data;
• Step 2, calculating dimensionless parameters γ, ε and λ2 of the stay cable according to the sag, inclination angle θ and bending stiffness EI of the stay cable through a computing module in structural health monitoring systems, the parameter γ being a dimensionless parameter related to the bending stiffness EI, the parameter being a dimensionless parameter related to the inclination angle θ, and the parameter λ2 being a dimensionless parameter related to the sag;
• Step 3, testing an acceleration response of the stay cable by an acceleration sensor, to identify a frequency ω of the acceleration response of the stay cable, and further calculating a dimensionless frequency {circumflex over (ω)} of the stay cable, a calculation equation of the dimensionless frequency being as follows:
• {circumflex over (ω)}=ωl2√{square root over (m/EI)}
• m being mass per unit length of the stay cable, and l being a length of the stay cable;
• Step 4, substituting the dimensionless parameters γ, ε and λ2 and the dimensionless frequency {circumflex over (ω)} of the stay cable into a vibration characteristic equation of the stay cable to establish a function relation between the dimensionless frequency {circumflex over (ω)} and a cable tension H* of the stay cable;
• and
• Step 5, using the dimensionless frequency of each order to calculate the cable tension H*, solving a root of the vibration characteristic equation based on the trust region dogleg algorithm in the computing module of the structural health monitoring, and identifying the cable tension H* according to the root.