This paper evaluates transverse normal stress sigma(zz) effect on vibration
of multilayered structures. To this purpose a mixed plate model initially
introduced by Toledano and Murakami has been extended to dynamics analysis
of double curved shells. These models allow both continuous interlaminar tr
ansverse shear and normal stresses as well as the zigzag form of the displa
cement distribution in the shell thickness directions to be modelled. Gover
ning equations have been derived by employing a Reissner's mixed theorem. C
lassical models on the basis of standard displacement formulations have bee
n considered for comparison purposes. The evaluations of transverse stress
effects have been conducted by comparing constant, linear and higher order
distributions of transverse displacement components in the plate thickness
directions. Free vibrational response of layered, simply supported plates,
cylindrical and spherical shells made of isotropic as well as orthotropic l
ayers has been analyzed. The numerical investigation carried out and compar
ison with earlier results has concluded that:
1. The possibility of describing a priori interlaminar continuous transvers
e normal stress sigma(zz) makes the mixed theories more attractive with res
pect to other available modelling.
2. Any refinements of classical models are meaningless, unless the effects
of interlaminar continuous transverse shear and normal stresses are both ta
ken into account in a multilayered shell theory. (C) 1999 Academic Press.