FREE VIBRATIONS OF CABLE IN THREE DIMENSIONS

The results of an extensive analysis of the three-dimensional free vibration of a single span cable, using nonlinear finite elements, is presented. The method provides excellent results throughout the spectrum of end conditions and geometric nonlinearity. For a homogeneous cable of constant cross section, the nonlinear equilibrium position and the natural frequencies were shown to depend only on the end conditions and the stiffness-to-weight ratio. It has been demonstrated that results of engineering usefulness can be obtained from plots made for a typical value of the stiffness-to-weight ratio since realistic deviations from this value result in only minor changes in the frequencies. An empirical formula based on static calcuations, which gives a good approximation to the lowest natural frequency, has been presented. /Author/

• Corporate Authors:

  American Society of Civil Engineers

  345 East 47th Street
  New York, NY  United States  10017-2398
• Authors:
  • Henghold, W M
  • Russell, J J
  • Morgan III, J D
• Publication Date: 1977-5

Media Info

• Features: Appendices; Figures; References; Tables;
• Pagination: p. 1127-35
• Serial:
  • Journal of the Structural Division
  • Volume: 103
  • Issue Number: ST5
  • Publisher: American Society of Civil Engineers

Subject/Index Terms

• TRT Terms: Bridge design; Bridges; Cables; Finite element method; Mathematical analysis; Mathematical models; Nonlinear systems; Stiffness; Structural design; Vibration
• Uncontrolled Terms: Nonlinearity
• Old TRIS Terms: Finite elements
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00165327
• Record Type: Publication
• Report/Paper Numbers: ASCE 12954 Proceeding
• Files: TRIS
• Created Date: Mar 14 1978 12:00AM