Cw. Lim et al., VIBRATION OF OPEN CYLINDRICAL-SHELLS - A 3-DIMENSIONAL ELASTICITY APPROACH, The Journal of the Acoustical Society of America, 104(3), 1998, pp. 1436-1443
The three-dimensional elastic analysis of the vibration of open cylind
rical shells are presented. Transverse normal stress usually neglected
in plate and shell higher-order theories has been considered. The nat
ural frequencies and vibration mode shapes have been obtained via a th
ree-dimensional displacement-based extremum energy principle. Excessiv
e requirements for memory and computational effort have been overcome,
without sacrificing numerical accuracy, by (i) decoupling the three-d
imensional displacements into the product of a set of beam and shell s
hape functions; and (ii) classifying the vibration modes. The effects
of subtended angle and aspect ratio have been concluded for shells wit
h various boundary conditions. Typical vibration mode shapes demonstra
ting the dependence of vibration characteristics on boundary constrain
ts are presented. (C) 1998 Acoustical Society of America. [S0001-4966(
98)01609-9]