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Journal ArticleDOI

Free vibration of initially stressed composite laminates

08 Nov 1990-Journal of Sound and Vibration (Academic Press)-Vol. 142, Iss: 3, pp 365-378
TL;DR: In this article, the characteristics of fundamental modes of vibration of initially stressed composite laminated plates are presented, and the effect of using different boundary conditions for the calculation of initial stress and subsequent vibration analysis is studied.
About: This article is published in Journal of Sound and Vibration.The article was published on 1990-11-08. It has received 12 citations till now. The article focuses on the topics: Composite laminates & Stiffness matrix.
Citations
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Journal ArticleDOI
TL;DR: In this article, the free vibration and thermal buckling behavior of moderately thick functionally graded material (FGM) structures including plates, cylindrical panels and shells under thermal environments was investigated by applying the finite element method (FEM).

81 citations

Journal ArticleDOI
TL;DR: In this article, numerical simulation studies on buckling and free vibration characteristics of isotropic plates under arbitrarily varying temperature distributions using finite element method (FEM) are presented, where the critical buckling temperature is obtained, followed by modal analysis considering pre-stress due to the thermal field in the plate, with the criticalbuckling temperature as a parameter.
Abstract: This paper presents numerical simulation studies on buckling and free vibration characteristics of isotropic plates under arbitrarily varying temperature distributions using finite element method (FEM). First the critical buckling temperature is obtained, followed by modal analysis considering pre-stress due to the thermal field in the plate, with the critical buckling temperature as a parameter. It is found that anti-nodal position of the fundamental buckling mode appears away/near to the free edge when the free edge is exposed to minimum/maximum temperature of the variation. The nodal and anti-nodal lines of free vibration modes moves towards the high temperature exposed plate and nodal lines becomes a nodal area for longer plates.

37 citations

Journal ArticleDOI
TL;DR: In this paper, the effects of both thermal damage and moisture content on the graphite/epoxy composite material were studied and modal testing was proposed as a nondestructive method to evaluate the effect of a delamination crack on the natural frequency and damping ratio.

28 citations

Journal ArticleDOI
TL;DR: In this article, a free vibration analysis of laminated curved panels with central circular cutouts and subjected to axial compressive forces is carried out by employing the Abaqus finite element program.
Abstract: Free vibration analyses of laminated curved panels with central circular cutouts and subjected to axial compressive forces are carried out by employing the Abaqus finite element program. The fundamental frequencies of these composite laminated curved panels with a given material system are then maximized with respect to fiber orientations by using the golden section method. Through parametric studies, the significant influences of the panel aspect ratio, the panel curvature, the cutout size and the compressive force on the maximum fundamental frequencies, the optimal fiber orientations and the associated fundamental vibration modes of these panels are demonstrated and discussed.

17 citations

Journal ArticleDOI
TL;DR: The Vibration Correlation Technique (VCT) is applied to all basic thin walled structures, like columns (beams), plates, panels and shells, yielding very good predictions for the experimental buckling load.
Abstract: The Vibration Correlation Technique (VCT), a nondestructive in-situ method to assess buckling loads is applied today to all basic thin walled structures, like columns (beams), plates, panels and shells yielding very good predictions for the experimental buckling load. The present review of the VCT highlights its analytical and experimental state-of-the-art by presenting the relevant derivations for columns, plates and shells together with test results stressing the reliable nondestructive nature of the method. Recent manuscripts reported successful applications of VCT to cylindrical shells, thus providing sound evidence of the applicability and reliability of the method. However, it is advised that more tests results should be provided to enlarge the experimental database for the application of VCT as a nondestructive method to predict the buckling load of thin walled structures.

14 citations

References
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Book
01 Jan 1969
TL;DR: The fundamental equation of classical plate theory can be found in this article, where anisotropic and variable-thickness versions of the classical plates are considered, as well as other considerations.
Abstract: : Contents: Fundamental Equations of Classical Plate Theory; Circular Plates; Elliptical Plates; Rectangular Plates; Parallelogram Plates; Other Quadrilateral Plates; Triangular Plates; Plates of Other Shapes; Anisotropic Plates; Plates With Inplane Forces; Plates With Variable Thickness; and Other Considerations.

2,137 citations

Journal ArticleDOI
TL;DR: In this article, a buckling analysis of composite laminates for critical temperatures under thermal loads is reported, which is based on linear theory and the finite element method using semiloof elements.

136 citations

Journal ArticleDOI
TL;DR: In this paper, it was shown that the relationship between the square of the frequency and the load is practically linear, and that the extrapolated load corresponding to zero frequency coincides with the buckling load.
Abstract: The apparently different physical problems of lateral vibration and elastic stability are limiting cases of a single phenomenon, the most general expression being the mode of vibration with end thrust. The theory of straight beams and flat plates is discussed in detail, and it is shown that the square of the frequency of lateral vibration is approximately linearly related to the end load. The linear relationship is exact if the mode of free vibrations is identical to the buckling mode. In all cases, the load corresponding to zero frequency is the critical buckling load. The analysis is valid only if the boundary conditions do not change with load. Experimental tests were conducted on elastically restrained columns in the form of rigid rectangular frames. It is found that the relationship between the square of the frequency and the load is practically linear, and that the extrapolated load corresponding to zero frequency coincides with the buckling load. Determining the critical load by frequency measurements seems to have the advantage of predicting that load corresponding to the actual boundary conditions which prevail, whereas a theoretical calculation may unjustifiably assume certain conditions which are not exactly realized. In the case of flat plates, tests showed that the linear relationship is not achieved in practice. It is shown that this is probably due to the fact that the linear plate equations are not valid due to initial curvatures in the plate. Rigid-joint trusses were also tested. Due to the change of end restraint with load, in some cases the relationship between the square of the frequency and the load deviates considerably from linearity. The amount of deviation appears to depend on the section properties of the members of the truss.

109 citations

Journal ArticleDOI
TL;DR: In this article, a finite element method is presented for free vibration analysis of thin plates subjected to complex force systems applied in the middle-plane of the plate, where the equation of motion is characterized by the basic stiffness, consistent mass, and incremental stiffness matrices.

22 citations