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• W2987132708 abstract "Viscoelastic pipeline conveying fluid is analyzed with an improved variable fractional order model for researching its dynamic properties accurately in this study. After introducing the improved model, an involuted variable fractional order, which is an unknown piecewise nonlinear function for analytical solution, an equation is established as the governing equation for the dynamic displacement of the viscoelastic pipeline. In order to solve this class of equations, a numerical method based on shifted Legendre polynomials is presented for the first time. The method is effective and accurate after the numerical example verifying. Numerical results show that how dynamic properties are influenced by internal fluid velocity, force excitation, and variable fractional order through the proposed method. More importantly, the numerical method has shown great potentials for dynamic problems with the high precision model." @default.
• W2987132708 created "2019-11-22" @default.
• W2987132708 creator A5010705747 @default.
• W2987132708 creator A5090405357 @default.
• W2987132708 date "2019-11-17" @default.
• W2987132708 modified "2023-09-27" @default.
• W2987132708 title "Dynamic Analysis of the Viscoelastic Pipeline Conveying Fluid with an Improved Variable Fractional Order Model Based on Shifted Legendre Polynomials" @default.
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• W2987132708 doi "https://doi.org/10.3390/fractalfract3040052" @default.
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