NON-LINEAR MODAL INTERACTIONS IN SHALLOW SUSPENDED CABLES

✍ Scribed by V.N. PILIPCHUK; R.A. IBRAHIM

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 291 KB
• Volume: 227
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1999.2326

✦ Synopsis

This paper examines di!erent regimes of non-linear modal interactions of shallow suspended cables. In a high-energy level, the equations of motion in terms of in-plane and out-of-plane co-ordinates are strongly coupled and cannot be linearized. For this type of problem, a special co-ordinate transformation is introduced to reduce the number of strongly non-linear di!erential equations by one. The resulting equations of motion are written in terms of stretching, transverse (geometrical bending), and swinging co-ordinates, and are suitable for analysis using standard quantitative and qualitative techniques. Both free and forced vibrations of the cable are considered for in-plane and out-of-plane motions. The cable stretching free vibrations results in parametric excitation to the cable transverse motion. Under in-plane forced excitation the stretching motion is directly excited while the transverse motion is parametrically excited.