Journal ArticleDOI
Free vibration analysis of FGM plates with internal defects using extended isogeometric hybrid collocation–Galerkin method
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In this paper, a new extended isogeometric hybrid collocation-Galerkin method is proposed to reduce the computational cost involved in extended iso-geometric methods based on weak form, and the obtained results are compared and found to be in good agreement with the reference results.Abstract:
Modelling of plates with internal defects or cut outs is often an issue in the traditional isogeometric methods and hence extended isogeometric methods are developed. In order to reduce the computational cost involved in extended isogeometric methods based on weak form, a new extended isogeometric hybrid collocation–Galerkin method is proposed in the present paper. The natural frequencies of a homogeneous and functionally graded material plate with internal defects of varying gradient index, sizes and shapes are obtained using the proposed method. The obtained results are compared and found to be in good agreement with the reference results.read more
Citations
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Superconvergent isogeometric collocation method with Greville points
TL;DR: In this paper, a superconvergent collocation method that employs the conventional Greville abscissae as collocation points is proposed, which preserves the exact geometry representation characterized by isogeometric analysis.
Journal ArticleDOI
Active control of vibrations of piezoelectric rectangular nanocomposite micro plates reinforced with graphene platelet in thermal ambient considering the structural damping
TL;DR: In this paper, the active control of vibrations of rectangular nanocomposite micro plates reinforced with graphene platelet bonded with piezoelectric layers in thermal environment is investigated, where the active vibration is controlled by a vibrational sensor.
References
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Journal ArticleDOI
Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement
TL;DR: In this article, the concept of isogeometric analysis is proposed and the basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model.
Book
The NURBS Book
Les A. Piegl,Wayne Tiller +1 more
TL;DR: This chapter discusses the construction of B-spline Curves and Surfaces using Bezier Curves, as well as five Fundamental Geometric Algorithms, and their application to Curve Interpolation.
Journal ArticleDOI
Isogeometric Analysis of Structural Vibrations
TL;DR: In this paper, the concept of k-refinement is explored and shown to produce more accurate and robust results than corresponding finite elements, including rods, thin beams, membranes, and thin plates.
Journal ArticleDOI
A critical review of recent research on functionally graded plates
TL;DR: A review of the reported studies in the area of thermo-elastic and vibration analyses of functionally graded (FG) plates with an emphasis on the recent works published since 1998 is presented in this paper.
Journal ArticleDOI
Isogeometric shell analysis: The Reissner-Mindlin shell
TL;DR: In this paper, a Reissner-Mindlin shell formulation based on a degenerated solid is implemented for NURBS-based isogeometric analysis and the performance of the approach is examined on a set of linear elastic and nonlinear elasto-plastic benchmark examples.
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