Response of circular plates of variable thickness to time-dependent loads

✍ Scribed by R.K. Jain

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 290 KB
• Volume: 31
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(73)80254-8

✦ Synopsis

The problem of forced motions of elastic circular plates of variable thickness, clamped at the edge, is discussed on the basis of classical theory of plates. The homogeneous solution of the Kirchhoff's plate equation is derived by the Frobenius method. The deflection of the plate then is represented as an infinite series of products of the normal functions and functions of time. The Laplace transform techniques are applied to determine the time functions. Special cases of loading considered are a time-varying ring load, and a concentrated load.