Application of Chebyshev tau method for bending analysis of elastically restrained edge functionally graded nano/micro-scaled sandwich beams, under non-uniform normal and shear loads

DOI10.1007/S40096-019-00305-9zbMath1452.65370OpenAlexW2978080547MaRDI QIDQ2179023

Mir Mohammad Alipour, M. Mahdavi Shirazi, Mashallah Matin far

Publication date: 12 May 2020

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-019-00305-9

zbMATH Keywords

Chebyshev polynomialsspectral methodChebyshev tau methodmicro/nano-sandwich beamnon-uniform loads

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)

Uses Software

• ABAQUS

Cites Work

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• Static and buckling analysis of functionally graded Timoshenko nanobeams
• An efficient Chebyshev-tau spectral method for Ginzburg-Landau-Schrödinger equations
• The Chebyshev tau technique for the solution of Laplace's equation
• Chebyshev tau matrix method for Poisson-type equations in irregular domain
• A modified tau spectral method that eliminates spurious eigenvalues
• An accurate solution of the Poisson equation by the Chebyshev-tau method
• Chebyshev Methods for Ordinary Differential Equations
• Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method
• Spectral Methods
• Accurate solution of the Orr–Sommerfeld stability equation

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