TITLE:
Free-Form Laminated Doubly-Curved Shells and Panels of Revolution Resting on Winkler-Pasternak Elastic Foundations: A 2-D GDQ Solution for Static and Free Vibration Analysis
AUTHORS:
Francesco Tornabene, Alessandro Ceruti
KEYWORDS:
Doubly-Curved Shells of Revolution; Rational Bézier Curves; Laminated Composite Shells; Winkler-Pasternak Foundation; First-Order Shear Deformation Theory; Generalized Differential Quadrature Method
JOURNAL NAME:
World Journal of Mechanics,
Vol.3 No.1,
February
7,
2013
ABSTRACT: This work presents the static and dynamic analyses of
laminated doubly-curved shells and panels of revolution resting on
Winkler-Pasternak elastic foundations using the Generalized Differential
Quadrature (GDQ) method. The analyses are worked out considering the
First-order Shear Deformation Theory (FSDT) for the above mentioned moderately
thick structural elements. The effect of the shell curvatures is included from
the beginning of the theory formulation in the kinematic model. The solutions
are given in terms of generalized displacement components of points lying on
the middle surface of the shell. Simple Rational Bézier curves are used to
define the meridian curve of the revolution structures. The discretization of
the system by means of the GDQ technique leads to a standard linear problem for
the static analysis and to a standard linear eigenvalue problem for the dynamic
analysis. Comparisons between the present formulation and the Reissner-Mindlin
theory are presented. Furthermore, GDQ results are compared with those obtained
by using commercial programs. Very good agreement is observed. Finally, new
results are presented in order to investtigate the effects of the Winkler
modulus, the Pasternak modulus and the inertia of the elastic foundation on the
behavior of laminated shells of revolution.