Shifted Bernstein-Legendre polynomial collocation algorithm for numerical analysis of viscoelastic Euler-Bernoulli beam with variable order fractional model

DOI10.1016/j.matcom.2022.04.035OpenAlexW4280558720WikidataQ113869141 ScholiaQ113869141MaRDI QIDQ2672403

Yanyan Li

Publication date: 8 June 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.04.035

zbMATH Keywords

collocation methodEuler-Bernoulli beamdynamic behaviorshifted Legendre polynomialshifted Bernstein functionvariable order fractional model

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions
• Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations
• Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets
• An approximate method for numerically solving multi-dimensional delay fractional optimal control problems by Bernstein polynomials
• Stability approach to the fractional variational iteration method used for the dynamic analysis of viscoelastic beams
• Bending analysis of functionally graded nanobeams based on the fractional nonlocal continuum theory by the variational Legendre spectral collocation method
• A new Chebyshev spectral approach for vibration of in-plane functionally graded Mindlin plates with variable thickness
• A numerical method for solving fractional-order viscoelastic Euler-Bernoulli beams
• Numerical analysis of fractional partial differential equations applied to polymeric visco-elastic Euler-Bernoulli beam under quasi-static loads
• Numerical analysis of variable fractional viscoelastic column based on two-dimensional Legendre wavelets algorithm
• An efficient numerical technique for variable order time fractional nonlinear Klein-Gordon equation
• Shifted-Chebyshev-polynomial-based numerical algorithm for fractional order polymer visco-elastic rotating beam
• On the variable order dynamics of the nonlinear wake caused by a sedimenting particle
• Linear and nonlinear vibrations of fractional viscoelastic Timoshenko nanobeams considering surface energy effects
• Numerical solution of the static beam problem by Bernoulli collocation method
• Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation
• Lectures on viscoelasticity theory
• A link between a variable-order fractional Zener model and non-Newtonian time-varying viscosity for viscoelastic material: relaxation time
• Computational method based on Bernstein operational matrices for multi-order fractional differential equations
• Mechanics with variable-order differential operators
• An original perspective on variable-order fractional operators for viscoelastic materials

This page was built for publication: Shifted Bernstein-Legendre polynomial collocation algorithm for numerical analysis of viscoelastic Euler-Bernoulli beam with variable order fractional model