EXACT SOLUTION FOR VIBRATION ANALYSIS OF RECTANGULAR CABLE NETWORKS WITH PERIODICALLY DISTRIBUTED SUPPORTS

✍ Scribed by H.C. Chan; Y.K. Cheung; C.W. Cai

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 236 KB
• Volume: 218
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1998.1762

✦ Synopsis

Rectangular cable networks supported by periodically distributed posts can be regarded as a structure with bi-periodicity in two orthogonal directions. By considering an equivalent system with cyclic bi-periodicity and applying the double U-transformation technique twice, the harmonic vibration equation can be uncoupled into a set of single variable equation, and that leads to the exact solutions. As an example, a square cable network with a 6 × 6 mesh and 2 × 2 internal supports is considered. The solutions of natural and forced vibrations are worked out by using the formulas obtained in the present study.