Large-Deflection and Large-Amplitude Free Vibrations of Laminated Composite-Material Plates

REDDY, J.N.; CHAO, W.C.

doi:10.1016/b978-0-08-027299-3.50043-1

Cited by 6 publications

(6 citation statements)

References 32 publications

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“…Extensive literature reviews on nonlinear vibrations of plates and shells were reported in references [1][2][3][4]. Various finite element methods are used for nonlinear vibration of plates in references [5][6][7][8][9]. Large amplitude flexural vibration of layered composite plates with cutouts were investigated by Reddy [10] and Sivakumar et al [11] employing the finite element method.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Free Vibration Analysis of Laminated Composite Cylindrical Shells with Cutouts

Nanda

Bandyopadhyay

2007

Journal of Reinforced Plastics and Composites

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The nonlinear free vibration of laminated composite cylindrical shell panels in the presence of cutouts is investigated. The finite element model using an eight-noded C0 continuity, isoparametric quadrilateral element is used to study the dynamic behavior. The nonlinear eigenvalue problem is solved by using the direct iteration method. Parametric study is carried out varying the aspect ratios, lamination schemes and material properties of cylindrical shell with simply supported boundary condition in the presence of cutouts.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Free Vibration Analysis of Laminated Composite Cylindrical Shells with Cutouts

Nanda

Bandyopadhyay

2007

Journal of Reinforced Plastics and Composites

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“…For that matter, among the available studies appearing in the open literature regarding the nonlinear vibrations, some works are considered as outstanding contributions such as the pioneers Reddy and Chao [3] and Reddy [4] which have been discussed about the effects of geometric nonlinearities (in the sense of von Kármán) in thin plates. Although the works of Bathe [5] and Liew et al [6] follow the same idea of nonlinear vibrations, they suggest to categorize the nonlinear analysis in relation to the material properties and Technical editor: José Roberto de França Arruda.…”

Section: Introductionmentioning

confidence: 99%

An efficient iterative model reduction method for stochastic systems having geometric nonlinearities

Belonsi

Lima

Trevilato

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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The dynamic analysis of systems has several applications in the project or monitoring and controlling machines and equipments. In particular, the analysis of nonlinear systems has academic and industrial appeal for owning many particularities such as structural integrity, models updating, stability and real-time predictability. Those particularities complicate the study of these models. However, the development of more representative mathematical models requires normally costly computations. By considering the uncertainties associated with the fabrication process (geometrical dimensions, physical and material properties), as well as those related to the operational conditions (boundary conditions, external forces, etc.), it complicates further the analysis of those nonlinear systems. Thus, this paper proposes a methodology to analyze nonlinear systems subjected to uncertainties using the stochastic finite element method. In view of the high computational cost needed to construct the confidence region predicted with the stochastic nonlinear computational model, it is proposed herein a new model reduction method based on the construction of an adaptive iterative enriched basis to deal with the stochastic nonlinear system addressed herein composed by a thin rectangular plate used as an application. The results demonstrate clearly the efficiency and accuracy of the proposed method as an efficient tool to approximate the nonlinear responses of more complex nonlinear systems subjected to uncertainties. Also, it demonstrates the relevance of taking into account the uncertainties in the modeling of nonlinear systems to consider more realistic situations.

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“…Plates are basic structural members which are used extensively in many disciplines like mechanical, civil, aerospace, and marine engineering, and in offshore structures. Because of their practical importance, the analysis of plates has always received significant interest, and thousands of studies have been published [1][2][3][4][5][6][7][8][9][10][11][12]. These studies may be categorized into various ways with regard to (i) the shape of the plate, (ii) the plate theory, (iii) the solution method, (iv) the material properties, (v) the boundary conditions, (vi) the scope of research (bending, buckling, or vibration), (vii) the type of analysis (theoretical, experimental or computational), and (viii) the classifications based on the thickness (membrane, thin, moderately thick or thick [13].…”

Section: Introductionmentioning

confidence: 99%

Bending of Super-Elliptical Mindlin Plates by Finite Element Method

Altekin

2018

Teknik Dergi

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Bending of shear deformable super-elliptical plates under transverse load was investigated using the Mindlin plate theory by means of the finite element method. Four-noded isoparametric quadrilateral plate bending element with three degrees of freedom per node was used. Parametric results for the maximum deflections were presented via sensitivity analysis for several geometric characteristics such as thickness, aspect ratio, and superelliptical power. Good agreement with the solutions of elliptical and rectangular plates was obtained using fine mesh. The results revealed that the deflections of clamped and point supported super-elliptical plates lie in the range bounded by elliptical and rectangular plates. However, the bending response of simply supported plates was observed to be entirely different. It was shown that high rate of convergence is required to obtain such a relation and using insufficient number of degrees of freedom results in finding a totally different trend for the clamped case.

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Large-Deflection and Large-Amplitude Free Vibrations of Laminated Composite-Material Plates

Cited by 6 publications

References 32 publications

Nonlinear Free Vibration Analysis of Laminated Composite Cylindrical Shells with Cutouts

Nonlinear Free Vibration Analysis of Laminated Composite Cylindrical Shells with Cutouts

An efficient iterative model reduction method for stochastic systems having geometric nonlinearities

Bending of Super-Elliptical Mindlin Plates by Finite Element Method

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