Unlike published shell theories restricted on wavelengths and
timescales in question, the main two parts of this work are devoted
to the asymptotic construction of a refined theory for composite
laminated shells valid over a wide range of frequencies and
wavelengths. The resulting theory is applicable to shells each
layer of which is made of materials with monoclinic symmetry. It
enables one to analyze shell dynamic responses within both
long-wavelength, low- and high-frequency vibration regimes. It also
leads to energy functionals that are both positive definiteness and
sufficient simplicity for all wavelengths. This whole procedure was
first performed analytically. From the insight gained from the
procedure, a finite element version of the analysis was then
developed; and a corresponding computer program, DVAPAS, was
developed. DVAPAS can obtain the generalized 2-D constitutive law
and recover accurately the 3-D results for stress and strain in
composite shells. In a word, in the literature there is not to be
found such a consistent and general approach, whether analytical or
numerical. The associated computer program DVAPAS has the potential
to have many applications in industry for analyzing composite
structures that are subjected to various forms of dynamic
disturbances.
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