Bending and vibration of elastically restrained circular plates

✍ Scribed by C.Lakshmi Kantham

• Publisher: Elsevier Science
• Year: 1958
• Tongue: English
• Weight: 310 KB
• Volume: 265
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(58)90393-4

✦ Synopsis

In the bending and vibration problems, it is found that the values of deflection and natural frequency vary considerably with change of end or edge conditions. In this paper a general boundary condition involving a linear relation between moment and slope at an edge is considered, so that the simply supported and completely fixed edge conditions form the limiting cases. The constant of proportionality is the elastic restraint factor, which is a measure of the degree of fixture, varying from zero to positive infinity. Values of deflection in the one case and natural frequency in the other have been determined for intermediate values of the elastic restraint factor.