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Shifted Legendre polynomials algorithm used for the numerical analysis of viscoelastic plate with a fractional order model

  • 【作者】Lin Sun,Yiming Chen,Rongqi Dang,Gang Cheng,Jiaquan Xie
  • 【刊名】Mathematics and Computers in Simulation
  • 【作者单位】1 School of Science, Yanshan University, Qinhuangdao 066004, China; 2 INSA Centre Val de Loire, Univ. Tours, Univ. Orléans, LaMé, 3 rue de la chocolaterie, CS 23410, 41034 Blois, France; 3 Department of Mathematics, Taiyuan Normal University, Jinzhong, China; 4 Shanxi Provincial Department of Education, Key Laboratory for Engineering & Computational Science (Taiyuan Normal University), Jinzhong, China; 5 Institute of Advanced Forming and Intelligent Equipment, Taiyuan University of Technology, Taiyuan, China
  • 【年份】2022
  • 【卷号】Vol.193
  • 【页码】190-203
  • 【ISSN】0378-4754
  • 【关键词】Viscoelastic plate Fractional Kelvin–Voigt model Governing equation Shifted Legendre polynomial Operational matrix Numerical analysis 
  • 【摘要】 An effective numerical algorithm is presented to analyze the fractional viscoelastic plate in the time domain for the first time in this paper. The viscoelastic behavior of the plate is described with fractional Kelvin–Voigt constitutive model in th...
  • 【文献类型】 期刊
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