On the transient response of plates on fractionally damped viscoelastic foundation

被引：0
作者：
R. K. Praharaj
N. Datta
机构：
[1] Indian Institute of Technology,
来源：
Computational and Applied Mathematics | 2020年 / 39卷
关键词：
Fractional viscoelasticity; Plate vibration; Fractional damping; Viscoelastic foundation; Step load;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This work underlines the importance of the application of fractional-order derivative damping model in the modelling of the viscoelastic foundation, by demonstrating the effect of various orders of the fractional derivative on the dynamic response of plates resting on the viscoelastic foundation, subjected to concentrated step load. The foundation of the plate is modelled as a fractionally-damped Kelvin–Voigt model. Modal superposition method and Triangular strip matrix approach are used to solve the partial fractional differential equations of motion. The influence of (a) fractional-order derivative, (b) foundation stiffness, and (c) foundation damping viscosity parameter on the dynamic response of the plate are investigated. Theoretical results show that with the increase in the order of derivative, the damping of the system increases, which leads to decreased dynamic response. The results obtained from the fractional-order damping model and integer-order damping model are compared. The results are verified with literature and numerical results (ANSYS).
引用
收藏
相关论文
共 130 条
  • [21] Fecarotti C(2014)On the transient response of viscoelastic beams and plates on viscoelastic medium Int J Mech Sci 83 133-157
  • [22] Pirrotta A(2014)Dynamic response of the rectangular plate subjected to moving loads with variable velocity J Eng Mechanics 140 06014001-599
  • [23] Collop AC(2018)Static and dynamic analyses of mindlin plates resting on viscoelastic foundation by using moving element method Int J Struct Stab Dyn 18 1850131-3153
  • [24] Chen L(2013)Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties Fractional Calculus and Applied Analysis 16 142-386
  • [25] Huang T(2018)Effect of rotationally restrained and pasternak foundation on buckling of an orthotropic rectangular mindlin plate Mech Adv Mater Struct 25 592-552
  • [26] Machado JAT(2009)Matrix approach to discrete fractional calculus II: partial fractional differential equations J Comput Phys 228 3137-501
  • [27] Lopes AM(2000)Matrix approach to discrete fractional calculus Fractional Calculus Appl Anal 3 359-2003
  • [28] Chai Y(2020)Dynamic response spectra of fractionally damped viscoelastic beams subjected to moving load Mech Based Des Struct Mach 16 543-2711
  • [29] Wu R(2020)Dynamic response of plates resting on a fractional viscoelastic foundation and subjected to a moving load Mech Based Des Struct Mach 15 498-618
  • [30] Datta P(2020)Dynamic response of Euler–Bernoulli beam resting on fractionally damped viscoelastic foundation subjected to a moving point load Mech Based Des Struct Mach 330 1985-600
12345678910