Journal ArticleDOI
Application of spline element for large-amplitude free vibrations of laminated orthotropic straight/curved beams
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In this article, the nonlinear free flexural vibrations of isotropic/laminated orthotropic straight/curved beams have been studied using a cubic B-spline shear flexible curved element, based on the field consistency principle.Abstract:
Using a cubic B-spline shear flexible curved element, based on the field consistency principle, the nonlinear free flexural vibrations of isotropic/laminated orthotropic straight/curved beams have been studied. The nonlinear governing equations are solved by employing Newmark's numerical integration scheme coupled with modified Newton-Raphson iteration technique. Amplitude-frequency relationships are obtained from the non-linear dynamic response history. Detailed numerical results are presented for various parameters for isotropic and laminated orthotropic beams. The present study brings out the type of non-linearity associated with the curved beams and its dependency on the interaction of curvature with initial amplitude of the beams.read more
Citations
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Theories and Finite Elements for Multilayered, Anisotropic, Composite Plates and Shells
TL;DR: In this article, an overview of available theories and finite elements that have been developed for multilayered, anisotropic, composite plate and shell structures is presented. But, although a comprehensive description of several techniques and approaches is given, most of this paper has been devoted to the so called axiomatic theories and related finite element implementations.
Journal ArticleDOI
DQM large amplitude vibration of composite beams on nonlinear elastic foundations with restrained edges
TL;DR: In this paper, the authors presented an efficient and accurate differential quadrature (DQ) large amplitude free vibration analysis of laminated composite thin beams on nonlinear elastic foundation.
Journal ArticleDOI
Modified shooting approach to the non-linear periodic forced response of isotropic/composite curved beams
S.M. Ibrahim,B.P. Patel,Y. Nath +2 more
TL;DR: In this article, a beam element based on higher-order shear deformation theory satisfying interlayer continuity of displacements and transverse shear stress, and top-bottom conditions on the latter is investigated.
Journal ArticleDOI
Large amplitude vibration analysis of composite beams: Simple closed-form solutions
TL;DR: In this article, a large amplitude vibration analysis of laminated composite beam with axially immovable ends is investigated with symmetric and asymmetric layup orientations by using the Rayleigh-Ritz (R-R) method.
Journal ArticleDOI
Large amplitude free flexural vibrations of functionally graded graphene platelets reinforced porous composite curved beams using finite element based on trigonometric shear deformation theory
TL;DR: In this article, the large amplitude free flexural vibration characteristics of fairly thick and thin functionally graded graphene platelets reinforced porous curved composite beams are investigated using finite element approach, which includes the influence of shear deformation which is represented through trigonometric function and it accounts for in-plane and rotary inertia effects.
References
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Journal ArticleDOI
The Effect of an Axial Force on the Vibration of Hinged Bars
TL;DR: In this paper, it was shown that the vibration of an extensible bar, carrying no transverse load and having the ends fixed at the supports, causes an axial tensile force with a period equal to the half-period of the vibration.
Journal ArticleDOI
A survey of direct time-integration methods in computational structural dynamics—I. Explicit methods
K. Subbaraj,M.A. Dokainish +1 more
TL;DR: Numerical solution methods surveyed here will be of much use to practicing computational/finite element/structural engineers working in the area of dynamics of structures.
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Incremental Finite Element Matrices
TL;DR: In this article, the authors present expressions for incremental matrices that remain valid in the equilibrium equations and in the linear incremental equilibrium equations for truss elements, in-plane bending elements, membrane elements, and plate flexural elements.
Journal ArticleDOI
Convergence Criteria for Iterative Processes
Pal G. Bergan,Ray W. Clough +1 more
TL;DR: An ever-recurrent problem associated with iterative techniques is the decision as to whether the current iterate is sufficiently close to the root without knowing the true solution itself.
Journal ArticleDOI
A linear thick curved beam element
C Ramesh Babu,Gangan Prathap +1 more
TL;DR: In this article, a simple linear two-noded C**0 continuous thick curved beam element based on a curvilinear deep shell theory is derived free from shear and membrane locking.