THE NONLINEAR DYNAMICS OF CABLE SYSTEMS

A method is developed for calculating the dynamic response of towed-cable systems. This method, which is designed to provide realistic computational times, retains important nonlinearities but uses simplified equations of longitudinal motion. General equations of motion including terms due to elasticity, bending and internal damping are derived. The method of characteristics, which is an especially attractive method for solving these equations, can be used only if the equations are hyperbolic. It is shown that the equations are hyperbolic only if elasticity is included and bending and internal damping are neglected, and further, that bending and internal damping can be safely neglected for most cases. The excessive computational times required by the large longitudinal characteristics velocity (cable material sonic velocity) can be avoided if only the transverse equations of motion are solved by the method of characteristics. The equations of motion are simplified by a procedure similar to that used in deriving the boundary layer equations. A number of computed examples are presented.

• Supplemental Notes:
  • Also pub. as California University, Berkeley. Coll. of Engineering, Rept. No. NA-73.3.
• Corporate Authors:

  University of California, San Diego

  Institute of Marine Resources
  La Jolla, CA  United States  92037
• Authors:
  • Barr, R A
• Publication Date: 1973-8

Media Info

• Pagination: 161 p.

Subject/Index Terms

• TRT Terms: Bending; Cable systems; Cables; Dynamics; Stiffness; Towing devices
• Old TRIS Terms: Cable bending stiffness; Cable dynamics; Towed body systems; Towing cables
• Subject Areas: Marine Transportation; Materials; Terminals and Facilities;

Filing Info

• Accession Number: 00051702
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: UC-IMR-74-1
• Contract Numbers: NOAA-2-35208
• Files: TRIS
• Created Date: Apr 17 1974 12:00AM