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Journal ArticleDOI

A finite element model for harmonically excited viscoelastic sandwich beams

01 Jan 1998-Computers & Structures (Pergamon)-Vol. 66, Iss: 1, pp 105-113
TL;DR: In this paper, a finite element model for the harmonic response of sandwich beams with thin or moderately thick viscoelastic cores is presented, where nonlinear variation of displacements through the thickness of the core is assumed.
About: This article is published in Computers & Structures.The article was published on 1998-01-01. It has received 54 citations till now. The article focuses on the topics: Mixed finite element method & Extended finite element method.
Citations
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Journal ArticleDOI
TL;DR: In this article, the free vibration analysis of three-layered symmetric sandwich beams is carried out using the dynamic stiffness method, and the Wittrick-Williams algorithm is used as a solution technique to compute the natural frequencies and mode shapes of an example sandwich beam.

112 citations

Journal ArticleDOI
TL;DR: In this paper, a finite element code is developed for structural response analysis of the free and forced vibration of a sandwich beam with composite faces and viscoelastic core, where independent transverse displacements on two faces and linear variations through the depth of the beam core are considered.

95 citations

Journal ArticleDOI
TL;DR: In this paper, an asymptotic numerical method for forced harmonic vibration analysis of viscoelastic structures is presented, based on power series expansions and Pade approximants of the displacement and frequency.

82 citations

Journal ArticleDOI
TL;DR: In this paper, an elementary theory for non-linear vibrations of viscoelastic sandwich beams is presented, where the harmonic balance method is coupled with a one mode Galerkin analysis.

77 citations

Journal ArticleDOI
TL;DR: In this paper, a bibliographical review of the finite element analyses of sandwich structures from both theoretical and practical points of view is presented. And the analysis of cellular solids is also included.
Abstract: Gives a bibliographical review of the finite element analyses of sandwich structures from the theoretical as well as practical points of view. Both isotropic and composite materials are considered. Topics include: material and mechanical properties of sandwich structures; vibration, dynamic response and impact problems; heat transfer and thermomechanical responses; contact problems; fracture mechanics, fatigue and damage; stability problems; special finite elements developed for the analysis of sandwich structures; analysis of sandwich beams, plates, panels and shells; specific applications in various fields of engineering; other topics. The analysis of cellular solids is also included. The bibliography at the end of this paper contains 655 references to papers, conference proceedings and theses/dissertations dealing with presented subjects that were published between 1980 and 2001.

70 citations

References
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Journal ArticleDOI
TL;DR: In this article, the transverse displacement of a three-layer sandwich beam with a viscoelastic core is derived in terms of the transversal displacement, w, for a 3D beam.

785 citations

Book
01 Jan 1968

377 citations

Journal ArticleDOI
TL;DR: In this article, a simple differential equation is derived to describe constrained-layer damping in nonsymmetric sandwich plates and beams composed of isotropic and homogeneous layers, and the natural boundary conditions related to this equation are determined.
Abstract: A simple differential equation is derived to describe constrained-layer damping in nonsymmetric sandwich plates and beams composed of isotropic and homogeneous layers. The natural boundary conditions related to this equation are determined and some typical numerical results obtained by this equation are given. The equation is valid within the linear theories of elasticity and viscoelasticity in the absence of any constraints on thicknesses, positions, symmetries, and densities of the layers.

215 citations