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On the application of fractional calculus for the formulation of viscoelastic Reddy beam
Meccanica ( IF 2.7 ) Pub Date : 2020-05-22 , DOI: 10.1007/s11012-020-01177-3
M. Di Paola , J. N. Reddy , E. Ruocco

The focus of the current work is to present the bending analysis of visco-elastic beams based on Reddy’s third-order shear deformation theory. Fractional calculus is taken into account for dealing with the fractional derivative terms, able to better describe the damping behaviour of any visco-elastic material. Numerical analyses of beams with different boundary conditions have been proposed and discussed following two different approaches, namely the finite element method and the Galerkin method. An assessment of the proposed approach is presented by comparing the computed solutions with those obtained with the classical and first-order shear deformation theories available in the literature.

中文翻译:

分数阶微积分在粘弹性Reddy梁公式中的应用

当前工作的重点是提出基于雷迪三阶剪切变形理论的粘弹性梁的弯曲分析。分数阶微积分用于处理分数阶导数项,能够更好地描述任何粘弹性材料的阻尼行为。已经提出并讨论了具有不同边界条件的梁的数值分析采用两种不同的方法,即有限元法和伽辽金法。通过将计算的解决方案与文献中可用的经典和一阶剪切变形理论获得的解决方案进行比较,提出了对所提出方法的评估。
更新日期:2020-05-22
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