Abstract: In response to the insufficient calculation methods for anchor chain design in existing water transport regulations and manuals,this study investigates the anchor chain structure,length,and weight of heavy balls that affect the shape equation of anchor chains,in order to minimize the draft depth and swimming area of the buoy,as well as the tilt angle of the underwater acoustic equipment. The system can operate normally when the wind and water velocities are at their maximum and when the depth of seawater changes due to tidal phenomena. By conducting force analysis on each anchor chain element,a force balance equation is established. Based on the plane geometry relationship and hyperbolic cosine function,the catenary equation of the anchor chain shape under different conditions is obtained. The actual anchor chain length and buoy position are calculated using the catenary equation.

Key words: chain system, offshore location, catenary equation, hyperbolic cosine