Free Vibration of Sandwich Plates and Shells by Using Zig-Zag Function. (2009)

• Record Type: Journal Article
• Authors: Brischetto, S.; Carrera, E.; Demasi, L.
• Is Part Of: Shock and vibration. Volume 2009(2009)
• Page Start: 495
• Page End: 503
• Publication Date: 2009
• Subjects: Shock (Mechanics) -- Periodicals; Vibration -- Periodicals; 534.5
• DOI: 10.3233/SAV-2009-0483
• Languages: English
• ISSNs: 1070-9622

Abstract

Abstract : This paper analyses the free vibration response of sandwich curved and flat panels by introducing the zig-zag function (—1) k ζ 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.