CURVES FOR NATURAL FREQUENCIES OF AXIALLY COMPRESSED PRISMATIC PLATE ASSEMBLIES

✍ Scribed by F.W. Williams; P.N. Bennett; D. Kennedy

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 414 KB
• Volume: 194
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1996.0340

✦ Synopsis

A new form of curve is presented that can be used to find the buckling loads and/or natural frequencies of axially loaded prismatic structures which consist of a series of thin, flat, rectangular plates that are rigidly connected together along their longitudinal edges and are simply supported at their ends. Such curves are given for four realistic panels. Illustrative calculations show how the curves can be used to find either the critical buckling stress, unloaded natural frequencies or natural frequencies in the presence of any specified axial load. The results are exact for structures composed of equally stressed isotropic or orthotropic plates and are shown to also be good approximations for the great majority of cases for which the component plates are unequally stressed and/or anisotropic. The results have been chosen to give designers insight, the means to spot trends, and guidance on how to choose and interpret computer runs for panels which are not similar enough to those in the paper for the curves presented to give sufficient accuracy.