Influence of constrained stepped layer on the response of a beam
About: This article is published in Journal of Sound and Vibration.The article was published on 1992-04-08. It has received 2 citations till now. The article focuses on the topics: Beam (structure) & Structural mechanics.
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TL;DR: In this paper, the effects of higher-order theory, that accounts for the realistic variation of in-plane and transverse displacements through the thickness, on the modal loss factors and natural frequencies of thick composite laminated/sandwich plates, have been studied.
Abstract: In this paper, the effects of higher-order theory, that accounts for the realistic variation of in-plane and transverse displacements through the thickness, on the modal loss factors and natural frequencies of thick composite laminated/sandwich plates, have been studied. The formulation is based on finite element procedure using C0 eight-noded quadrilateral plate element. Further, the complex modulus of an orthotropic lamina is employed to model the damping effect. The significance of various higher-order terms considered in the model in predicting the vibration and damping characteristics are shown through the numerical studies. A detailed parametric study is also carried out to highlight the influences of ply-angle, aspect ratio, number of layers, and core to face thickness ratio for sandwich laminates on frequencies and system loss factors of composite laminates/sandwich plates.
29 citations
TL;DR: In this paper, the authors investigated the torsional vibration and damping analysis of free-free and cantilever beams with sandwich or constrained layer damping arrangements using finite element procedure.
Abstract: The objective of the paper presented here is to investigate the torsional vibration and damping analysis of beams with sandwich or constrained layer damping arrangements using finite element procedure. Finite element based on a sandwich beam theory, which satisfies the interface stress and displacement continuity and has zero shear stress on the top and bottom surfaces of the beam, is employed. The element is capable of simulating free as well as constrained torsion. The transverse shear deformation in the form of trigonometric sine function is incorporated to define the transverse shear strain. The inertia effects due to in-plane, rotary and torsional motion have been included in the formulation. The governing equations of motion for the dynamic analysis are obtained using Lagrange's equation of motion. The solutions are evaluated by QR algorithm. Numerical results are presented for both free-free and cantilever beams. A detailed parametric study is carried out to highlight the influence of shear modulus of the core or constrained layer in beams, thickness ratio, and boundary condition on the torsional resonance frequencies and its associated system loss factors.
10 citations
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TL;DR: In this paper, a finite element displacement analysis of multilayer sandwich beams and plates, each with n stiff layers and n−1 weak cores, is presented, where each layer has individual orthotropic properties of its own and the bending rigidities of the stiff layers are taken into account while direct stresses in cores are neglected in the analysis.
Abstract: A finite element displacement analysis of multilayer sandwich beams and plates, each with n stiff layers and n−1 weak cores, is presented. Each layer of the sandwich structure may have individual orthotropic properties of its own and the bending rigidities of the stiff layers are taken into account while direct stresses in cores are neglected in the analysis. The condition of common shear angle for all cores, which has been used by several authors is not implied in the formulation.
Several examples on bending problems have been solved using lower-order elements and the accuracy of the results has been shown to be excellent. Two higher-order elements have also been developed but have not been found to yield much better results.
The free vibration problems of multilayer sandwich structures have also been solved, and good accuracy is demonstrated.
148 citations