2002
DOI: 10.1006/jsvi.2001.4202
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Free Vibrations of Multilayered Plates Based on a Mixed Variational Approach in Conjunction With Global Piecewise-Smooth Functions

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Cited by 21 publications
(25 citation statements)
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References 35 publications
(58 reference statements)
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“…It has been shown that regardless of the material properties of the laminated plates all the classical boundary conditions can be tackled with only three canonical functional bases. This constitutes a further generalization of a recent theory [12,13] that concerned simply supported freely vibrating plates.…”
Section: Closurementioning
confidence: 94%
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“…It has been shown that regardless of the material properties of the laminated plates all the classical boundary conditions can be tackled with only three canonical functional bases. This constitutes a further generalization of a recent theory [12,13] that concerned simply supported freely vibrating plates.…”
Section: Closurementioning
confidence: 94%
“…In particular, the functional base through the z-axis allows slope changes at the interfaces to be a set of global piecewise-smooth functions [12]. In this regard, no continuity condition at the interfaces has been explicitly introduced between transversal and normal stress components.…”
Section: The Adopted Functional Basesmentioning
confidence: 99%
“…To the best of the authors' knowledge, in the early '80s Murakami [31] was the first to adopt the RMVT in formulating a mixed-field model for multilayered composite and sandwich plates, wherein a layer-wise second-order polynomial approximation for the transverse shear stresses is assumed. Since then, a lot of efforts have been devoted to the development of mixed-field models [3,[32][33][34][35][36]. In the framework of RMVT-based models, abundantly appear in the open literature the works by Carrera and co-workers ( [37][38][39], only as main reference) wherein the transverse shear stress field components are assumed, following Murakami [31], to vary according to a piece-wise polynomial distribution.…”
mentioning
confidence: 99%
“…Of course, we could choose classical polynomials fulfilling the geometric boundary conditions; however, this latter would not generally be the most appropriate choice. Alternatively, we could choose GPSFs [4]; these latter could be used in both the x and/or z -domains due to the material ( z -domain) and loading ( x -domain) discontinuities. Of course, our choices should not invalidate the results of the model when the discontinuities are absent or are not influent.…”
Section: Theoretical Description Of the Boundary Value Problemmentioning
confidence: 99%