Improved algorithm for determining cable saddle pre-offsets considering the coupling effect of tower and splay...

Area of Science:

• Structural Engineering
• Civil Engineering
• Mechanical Engineering

Background:

• Suspension bridges rely on precise main cable geometry.
• Accurate pre-offsets of cable saddles are critical for structural integrity.
• Existing methods may lack robustness or require precise initial values.

Purpose of the Study:

• To develop an improved algorithm for determining cable saddle pre-offsets in suspension bridges.
• To account for the coupled effects of towers and splay saddles.
• To ensure a robust and convergent calculation process.

Main Methods:

• Analysis of mechanical and geometrical relationships between main cable, tower, and splay saddles.
• Incorporation of coupling effects between the tower and splay saddles.
• Establishment of coupled non-linear equations solved using the Newton-Raphson method.

Main Results:

• A novel algorithm for calculating cable saddle pre-offsets is proposed.
• The algorithm considers equilibrium, deformation compatibility, and main cable shape equations.
• Demonstrated excellent convergence even without exact initial values in a plane cable suspension bridge example.

Conclusions:

• The improved algorithm provides a reliable method for determining cable saddle pre-offsets.
• The approach enhances the accuracy and efficiency of suspension bridge design.
• The method ensures calculation convergence, simplifying practical application.