Affiliations: Department of Aeronautics and Space Engineering,
Politecnico di Torino, Torino, Italy | Department of Aerospace Engineering, San Diego State
University, San Diego, CA, USA
Note: [] Corresponding author: Salvatore Brischetto, Department of
Aeronautics and Space Engineering, Politecnico di Torino, Corso Duca degli
Abruzzi 24, 10129, Torino, Italy. Tel.: +39 011 564 6869; Fax: +39 011 564
6899; E-mail: [email protected]
Abstract: This paper analyses the free vibration response of sandwich curved
and flat panels by introducing the zig-zag function
(-1)^kζ_k (ZZF) in the displacement models of classical
and higher order two-dimensional shell theories. The main advantage of ZZF is
the introduction of a discontinuity in the first derivative, zig-zag effect, of
the displacements distribution with correspondence to the core/faces
interfaces. Results including and discarding ZZF are compared. Several values
of face-to-core stiffness ratio (FCSR) and geometrical plate/shell parameters
have been analyzed. Both fundamental vibration modes and those corresponding to
high wave numbers are considered in the analysis. It is concluded that: (1) ZZF
is highly recommended in the free vibration analysis of sandwich plates and
shells; (2) the use of ZZF makes the error almost independent by FCSR
parameter; (3) ZZF is easy to implement and its use should be preferred with
respect to other `more cumbersome' refined theories.
