Numerical analysis of fractional viscoelastic column based on shifted Chebyshev wavelet function
نویسندگان
چکیده
An innovative numerical procedure for solving the viscoelastic column problem based on fractional rheological models, directly in time domain, is investigated. Firstly, governing equation established according to constitutive relation. Secondly, resulting transformed into algebraic and solved by using shifted Chebyshev wavelet function. Furthermore, convergence analysis retained benchmarks are carried out validate performance of proposed method. A small value absolute error between accurate solution obtained. Finally, dynamic beam-column problems investigated with different cross-section shape (circular square) under various loading conditions (axial compressive force harmonic load). The displacement, strain stress at position determined. deformation materials same condition compared. results paper show highly accuracy efficiency algorithm dynamical stability column.
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2021
ISSN: ['1872-8480', '0307-904X']
DOI: https://doi.org/10.1016/j.apm.2020.09.055