两种黏弹性运动板的数值模拟与稳定性分析

doi:10.16088/j.issn.1001-6600.2024120304

Abstract

Abstract: In order to study the dynamic response of two kinds of viscoelastic axially moving plates, the governing equations of the axially moving plates are derived by using the variable-fractional model. Firstly, the variable-fractional differential equations are solved by using the shifted Bernstein polynomial as the basis function, and the operator matrix of the shifted Bernstein polynomial is derived. Secondly, the feasibility of the algorithm is verified by numerical examples. Thirdly, the displacement of ceramic plate and PET plate under harmonic load is further studied and compared. Finally the influence of axial moving speed on displacement of axial viscoelastic plate is analyzed, and the displacement changes of different material plates under different thickness changes are compared. The research results break through the variable-fractional order model of viscoelastic moving plate and provide a theoretical basis for the study of viscoelastic structure.

Key words: viscoelastic axially moving plate, differential equation of variable fractional order, shifted Bernstein polynomial, numerical simulation

CLC Number: O221

DENG Jinna, LIU Qiumei, CHEN Yiming, YANG Aimin. Numerical Simulation and Stability Analysis of Two Kinds of Viscoelastic Moving Plates[J].Journal of Guangxi Normal University(Natural Science Edition), 2025, 43(6): 128-139.

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Numerical Simulation and Stability Analysis of Two Kinds of Viscoelastic Moving Plates

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