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Journal ArticleDOI

Free vibration of composite beams including rotary inertia and shear deformation

01 Jan 1990-Composite Structures (Elsevier)-Vol. 14, Iss: 4, pp 269-279
TL;DR: In this paper, exact solutions for the free vibration of symmetrically laminated composite beams are presented for the first-order shear deformation and rotary inertia have been included in the analysis.
About: This article is published in Composite Structures.The article was published on 1990-01-01. It has received 216 citations till now. The article focuses on the topics: Rotary inertia & Simple shear.
Citations
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Journal ArticleDOI
TL;DR: In this article, a unified approach for analyzing the static and dynamic behaviors of functionally graded beams (FGB) with the rotary inertia and shear deformation included is presented, where all material properties are arbitrary functions along the beam thickness.

450 citations

Journal ArticleDOI
TL;DR: A critical review of literature on bending, buckling and free vibration analysis of shear deformable isotropic, laminated composite and sandwich beams based on equivalent single layer theories, layerwise theories, zig-zag theories and exact elasticity solution is presented in this paper.

327 citations

Journal ArticleDOI
TL;DR: In this paper, the authors review most of the research done in recent years (1989-2012) on the vibration analysis of composite beams, with emphasis given to the theory being applied (thin, thick, layerwise), methods for solving equations (finite element analysis, differential transform and others) experimental methods, smart beams (piezoelectric or shape memory), complicating effects in both material and structure, and other areas that have been considered in research.

153 citations

Journal ArticleDOI
TL;DR: In this paper, a new approach combining the state space method and the differential quadrature method is presented for freely vibrating laminated beams, which can cope with arbitrary boundary conditions without applying Saint-Venant's principle.

145 citations


Cites background or methods or result from "Free vibration of composite beams i..."

  • ...Table 4 Geometry and material properties for DATA-3 and DATA-4 Description DATA-3 [13] DATA-4 [24] Length (L) (mm) 381....

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  • ...[13] and Eisenberger et al....

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  • ...Tables 2 and 3 that the numerical results by the present method (SS-DQM) for thin slender beams agree well with that obtained by other authors [5,13,18]....

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  • ...(29) as well as the results in [13,18]....

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  • ...The non-dimensional frequencies X calculated by SS-DQM are converted into x 1⁄4 xL ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi q=E1H 2 p , and a comparison with the results in [13,18] is shown in Table 3....

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Journal ArticleDOI
TL;DR: In this paper, a set of fundamental dynamic equations of a one-dimensional higher order theory for laminated composite beams subjected to axial stress is derived through Hamilton's principle, which can predict the natural frequencies, buckling stresses and interlaminar stresses of multilayered composite beams as accurately as three-dimensional elasticity solutions.

143 citations

References
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Book
28 Feb 1986
TL;DR: In this paper, the authors introduce the concept of anisotropic elasticity and composite Laminate Theory for composite materials, and present a test standard for polymer matrix composites.
Abstract: Preface to the Second Edition. Preface to the First Edition. 1. Introduction to Composite Materials. 2. Anisotropic Elasticity and Composite Laminate Theory. 3. Plates and Panels of Composite Materials. 4. Beams, Columns and Rods of Composite Materials. 5. Composite Material Shells. 6. Energy Methods For Composite Material Structures. 7. Strength and Failure Theories. 8. Joining of Composite Material Structures. 9. Introduction to Composite Design. Appendices: A-1. Micromechanics. A-2. Test Standards for Polymer Matrix Composites. A-3. Properties of Various Polymer Composites. Author Index. Subject Index.

1,144 citations

Journal ArticleDOI
TL;DR: In this article, a bending theory for anisotropic laminated plates developed by Yang, Norris, and Stavsky is investigated, which includes shear deformation and rotary inertia in the same manner as Mindlin's theory for isotropic homogeneous plates.
Abstract: : A bending theory for anisotropic laminated plates developed by Yang, Norris,and Stavsky is investigated. The theory includes shear deformation and rotary inertia in the same manner as Mindlin's theory for isotropic homogeneous plates. The governing equations reveal that unsymmetrically laminated plates display the same bending-extensional coupling phenomenon found in classical laminated plate theory based on the Kirchhoff assumptions. Solutions are presented for bending under transverse load and for flexural vibration frequencies of symmetrical and nonsymmetrical laminates. Good agreement is observed in numerical results for plate bending as compared to exact solutions obtained from classical elasticity theory. For certain fiber reinforced composite materials, radical departure from classical laminated plate theory is indicated. (Author-PL)

1,123 citations

Book
01 Jan 1984

619 citations