Vibrations and stability of a moving band

✍ Scribed by Alan I. Soler

• Publisher: Elsevier Science
• Year: 1968
• Tongue: English
• Weight: 804 KB
• Volume: 286
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(68)90578-4

✦ Synopsis

The problem of a thin strip moving with constant speed in a longitudinal direction is formulated. The effect of a conservative point load acting parab?.el to the plane of the strip and normal to one of the short sides of the cross section is included in the jormuktim and a study is ma& oj the lateral and torsional motions of the strip. The equations governing the dynamic motion of the strip are derived by a variational method and it is shown that the presence of the point load couples the lateral and torsional motions both in the system differential equations and in the boundary wnditions.

The coupled equations have variable coe&ients due to the terms involving the initial state of stress arising from the presence of the point load. An exact analytical solution not being feasible,

a parametric study of the lowest modes is carried out using a collocation method of solution. The efects of various system paramekrs on the frequency are studied and the occurrence of a static buckling load is predicted. The results of the study are compared with a previous analysis where the coupling of later-at and torsiona.! motion was neglected. It is shown that in certain cases, the coupling effect is very important and cannot be neglected.