Natural frequencies of a functionally graded cracked beam using the differential quadrature method

DOI10.1016/j.amc.2009.08.026zbMath1422.74060OpenAlexW2119410353MaRDI QIDQ1039704

J. Blot

Publication date: 23 November 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.026

zbMATH Keywords

beamvibrationcrackdifferential quadrature methodpasternak foundationline spring model

Mathematics Subject Classification ID

Related Items (10)

Large displacement behaviour of tapered cantilever Euler-Bernoulli beams made of functionally graded material ⋮ Quantification of cracks in beams on the Pasternak foundation using Haar wavelets and machine learning ⋮ Size dependent analysis of functionally graded microbeams using strain gradient elasticity incorporated with surface energy ⋮ A special case of parametrically excited systems: free vibration of delaminated composite beams ⋮ Iterative differential quadrature solutions for Bratu problem ⋮ Geometrically nonlinear static analysis of edge cracked Timoshenko beams composed of functionally graded material ⋮ Restoration of natural frequency of cracked cantilever beam using CNT composite patch: a finite element study ⋮ Some remarks on a new DQ-based method for solving a class of Volterra integro-differential equations ⋮ Free vibration analysis of axially functionally graded tapered Timoshenko beams using differential transformation element method and differential quadrature element method of lowest-order ⋮ Using Fourier differential quadrature method to analyze transverse nonlinear vibrations of an axially accelerating viscoelastic beam

Cites Work

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• An analytical approach for fracture and fatigue in functionally graded materials
• Discrete element analysis methods of generic differential quadratures.
• Mixed-mode fracture analysis of orthotropic functionally graded materials under mechanical and thermal loads
• Simplified stress correction factor to study the dynamic behavior of a cracked beam
• Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analysis of beams and plates
• A new beam finite element for the analysis of functionally graded materials.
• Vibration analysis of edge-cracked beam on elastic foundation with axial loading using the differential quadrature method
• A Combined Fourier Series–Galerkin Method for the Analysis of Functionally Graded Beams
• The Surface Crack Problem for a Plate With Functionally Graded Properties

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