Free vibration analysis of a cylindrical shell—circular plate system with general coupling and various boundary conditions

Vibrations of Circular Cylindrical Shells With Nonuniform Constraints, Elastic Bed and Added Mass; Part I: Empty and Fluid-Filled Shells

“…It has the following characteristics: R"0)0762 m, "0)3048 m, h"0)000254 m, E"204;10 Pa, "7836)6 kg/m and "0)3. The results obtained are given in Tables 1 and 2 and are in good agreement with those reported by Koval & Cranch (1962), by Cheng & Nicolas (1992) and by Vronay & Smith (1970). The theoretical results of Koval & Cranch (1962) were obtained with Donnell's shell theory by using clamped}clamped beam functions.…”

“…u"v"w"*w/*x"0 for x"0 and¸, previously studied by Koval & Cranch (1962) and also discussed by Leissa (1970) has been considered. The same case was also studied by Cheng & Nicolas (1992) and by Vronay & Smith (1970) for modes with n45. It has the following characteristics: R"0)0762 m, "0)3048 m, h"0)000254 m, E"204;10 Pa, "7836)6 kg/m and "0)3.…”

“…In this case the maximum potential energy of the shell must be evaluated by using the expression deriving form the shell theory used, e.g. Cheng & Nicolas (1992). Cheung & Zhou (1999) applied a new set of beam functions to study vibrations of tapered rectangular plates; similar functions could be also applied for shells with nonuniform thickness.…”

“…Recent applications of this technique to shells were made, e.g. by Yuan & Dickinson (1994), Cheng and Nicolas (1992), Cheng (1994) and Amabili et al (1998).…”

Experimental and analytical investigation of circular thin plate

“…Modelling is particularly useful in cases where experimental research is very expensive or time consuming. In addition, there are many cases where, due to the nature of the work carried out, it is not possible to carry out interesting tests, for example: destructive tests of units manufactured individually [1,2].…”