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Differential Quadrature and Its Application in Engineering

Chang Shu
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TLDR
A Differential Quadrature Hierarchical Finite Element Method (DQEEM) based on Bernstein Polynomials is proposed in this paper for the analysis of doubly-curvel shell structures.
Abstract
Application of Differential Quadrature to Engineering ProblemsApplication of Differential Quadrature to the Analysis of Structural ComponentsTsinghua Science and TechnologyApplication of Differential Quadrature Method to the Analysis of Delamination Buckling of Laminated CompositesDifferential Quadrature and Differential Quadrature Based Element MethodsApplication of the Differential Quadratire Method to Problems in Engineering MechanicsProceedings of the International Conference on Advances in Computational Mechanics 2017Advanced Differential Quadrature MethodsA Differential Quadrature Hierarchical Finite Element MethodLaminated Composite Doubly-Curved Shell StructuresRecent Advances in Mathematics for EngineeringComputer Modeling in Engineering & SciencesMeshfree Approximation Methods with MatlabApplication of Differential Quadrature to the Analysis of Static Aeroelastic PhenomenaApplication of the Differential Quadrature Method to the Plane Elasticity ProblemMathematical Methods in Interdisciplinary SciencesDiQuMaSPABWave Propagation in Materials for Modern ApplicationsDifferential Quadrature Methods and Its ApplicationsA Generalization and Application of the Differential Quadrature MethodApplication of the Differential Quadrature Method to the Buckling Analysis of Cylindrical Shells and TanksBoundary Elements and Other Mesh Reduction Methods XXXVDifferential Quadrature and Its Application in EngineeringDifferential Quadrature Method in Computational MechanicsUse of Differential Quadrature in a Recursive FilterApplication of Differential Quadrature to Nuclear Engineering ProblemsMathematical PhysicsStructural Dynamics of Earthquake EngineeringDeterministic Flexibility AnalysisHandbook of Research on Computational Science and Engineering: Theory and PracticeNonlinear DynamicsInternational Petroleum Conference & Exhibition of MexicoVibration Analysis of Non-uniform Beams Using the Differential Quadrature MethodApplication of Differential Quadrature Method to the Analysis of Delamination Buckling of Laminated CompositesMechanical Vibration: Where Do We Stand?Scientific and Technical Aerospace ReportsA New Differential Quadrature Method Based on Bernstein PolynomialsA Primer on Radial Basis Functions with Applications to the GeosciencesMechanics of laminated Composite doubly-curvel shell structuresProceedings of the Sixth International Colloguium on Differential Equations

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Journal ArticleDOI

Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution

TL;DR: In this article, a generalization of the power-law distribution presented in literature is proposed for the volume fraction of conical shells, where materials are assumed to be isotropic and inhomogeneous through the thickness direction.
Journal ArticleDOI

Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations

TL;DR: In this article, a local radial basis function-based differential quadrature (LRQ) method is proposed, which discretizes any derivative at a knot by a weighted linear sum of functional values at its neighbouring knots, which may be distributed randomly.
Journal ArticleDOI

Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams

TL;DR: In this article, the buckling and postbuckling behaviors of functionally graded multilayer nanocomposite beams reinforced with a low content of graphene platelets (GPLs) resting on an elastic foundation were investigated.
Journal ArticleDOI

Nonlinear free vibration of size-dependent functionally graded microbeams

TL;DR: In this paper, the nonlinear free vibration of microbeams made of functionally graded materials (FGMs) is investigated based on the modified couple stress theory and von Karman geometric nonlinearity.
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