Solving and Numerical Simulations of Fractional-Order Governing Equation for Micro-Beams

This paper applies a recently proposed numerical algorithm to discuss the deflection of viscoelastic micro-beams in the time domain with direct access. A nonlinear-fractional order model for viscoelastic micro-beams is constructed. Before solving the governing equations, the operator matrices of shi...

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Bibliographic Details
Published in:	Fractal and fractional Vol. 7; no. 2; p. 204
Main Authors:	Yang, Aimin, Zhang, Qunwei, Qu, Jingguo, Cui, Yuhuan, Chen, Yiming
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.02.2023
Subjects:	Algorithms Analysis Approximation Calculus Chebyshev approximation Collocation methods Computer simulation Deflection Deformation Finite element analysis Force and energy Iterative methods Mathematical functions Mathematical models Mechanical properties Microbeams nonlinear-fractional order differential equations Numerical analysis numerical simulation operator matrix Operators (mathematics) Polynomials Potential energy Rheology shifted Chebyshev polynomial algorithm Simulation methods viscoelastic micro-beams Viscoelasticity Viscous damping
ISSN:	2504-3110, 2504-3110
Online Access:	Get full text
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