Modelling of The Viscoelastic Composite Curved Panel for The Time Domain Analysis Using TTBDF, β1 / β2−Bathe and Newmark Method

Open Access

Year : 2025 | Volume : 13 | Special Issue 01 | Page : 204 222
    By

    Vishwanil Sarnaik,

  • Mekala Anil,

  • Satyajit Panda,

  • S.Kanaragaj,

  1. Research Scholar, Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam, India
  2. Research Scholar, Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam, India
  3. Professor, Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam, India
  4. Professor, Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam, India

Abstract

Viscoelastic materials are extensively used in structures, especially thin-walled structures, for damping. The accurate modelling of the time domain dynamics of the viscoelastic material is essential for appropriately capturing the damping of the viscoelastic material. Various implicit and explicit time integration schemes are available to evaluate time domain response. However, the rightness of the implementation of the time integration scheme to the viscoelastic material model is very essential. In this paper, the non-linear FE model is developed to characterize the time domain behaviour of the composite curved panel. The composite curved panel comprises metal and viscoelastic material. The viscoelastic material is modelled by a four-parameter fractional order derivative model. The time integration method is then coupled with the non-linear FE model and then solved by the Newton-Raphson method to obtain a time domain response. Three different time integration methods such as TTBDF composite method,  Bathe explicit method and the Newmark implicit method are combined with the non-linear FE model and the respective responses are evaluated. The dynamic response of the composite curved panel is studied under the external harmonic force excitation. The responses of the three given time integration methods are compared. All three-time integration methods accurately capture the forcing frequency with slight variation in the displacement responses due to the implementation of the Grunwald formalism.

Keywords: Four-parameter fractional order derivative model, Newmark implicit method, Bathe explicit method, TTBDF composite method

[This article belongs to Special Issue under section in Journal of Polymer and Composites (jopc)]

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How to cite this article:
Vishwanil Sarnaik, Mekala Anil, Satyajit Panda, S.Kanaragaj. Modelling of The Viscoelastic Composite Curved Panel for The Time Domain Analysis Using TTBDF, β1 / β2−Bathe and Newmark Method. Journal of Polymer and Composites. 2024; 13(01):204-222.
How to cite this URL:
Vishwanil Sarnaik, Mekala Anil, Satyajit Panda, S.Kanaragaj. Modelling of The Viscoelastic Composite Curved Panel for The Time Domain Analysis Using TTBDF, β1 / β2−Bathe and Newmark Method. Journal of Polymer and Composites. 2024; 13(01):204-222. Available from: https://journals.stmjournals.com/jopc/article=2024/view=187960


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Special Issue Open Access Original Research
Volume 13
Special Issue 01
Received 17/05/2024
Accepted 15/06/2024
Published 06/12/2024
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