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Kinetic Analysis of Fractional Viscoelastic Films Based on Shifting Legendre Polynomials

Author(s)

Yunchen Liu1,2, Yanbing Liang2,*

Affiliation(s)

1Hebei Key Laboratory of Data Science and Application, North China University of Science and Technology, Tangshan, Hebei, China 2College of Science, North China University of Science and Technology, Tangshan, Hebei, China *Corresponding Author

Abstract

In this paper, the variable fractional derivative model was used to simulate the structure of viscoelastic polyethylene terephthalate (PET) films. the shift Legendre polynomial algorithm is used to directly solve the equation of motion in the time domain, and the nonlinear dynamic response of the fractional viscoelastic film is reliably estimated. Numerical examples demonstrate the reliability and accuracy of the proposed strategy, and the displacement of thin films with different aspect ratios under simple harmonic loading is numerically simulated.

Keywords

Fractional Order; Shift Legendre Polynomial Algorithm; Membrane; Numerical Simulation

References

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