NUMERICAL SOLUTION OF A COUPLED NONLINEAR DYNAMIC PROBLEM OF THERMOVISCOELASTICITY

Authors

• Abdali Abdukarimov, Tashkent State Technical University named after Islam KarimovFollow
• Ibodat Turabekovna Khaldybaeva, Tashkent State Technical University named after Islam KarimovFollow
• Askarova Shamshetdinovna Ayjamal, Inha University in Tashkent, Tashkent, UzbekistanFollow

Abstract

This paper presents a numerical solution of a coupled nonlinear dynamic problem of thermoviscoelasticity. A Duffing-type oscillator with temperature-dependent properties is used to model nonlinear hereditary deformable systems. After specifying the temperature dependences of the elastic modulus 𝐸 and viscosity parameter 𝜂 and introducing dimensionless variables, the problem is reduced to a system of nonlinear integro-differential equations. A numerical procedure for solving this system is developed, and representative examples are computed. The results are presented in graphical form for various values of the governing parameters.

First Page

86

Last Page

89

References

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Recommended Citation

Abdukarimov, Abdali; Khaldybaeva, Ibodat Turabekovna; and Ayjamal, Askarova Shamshetdinovna (2026) "NUMERICAL SOLUTION OF A COUPLED NONLINEAR DYNAMIC PROBLEM OF THERMOVISCOELASTICITY," Technical science and innovation: Vol. 2026: Iss. 2, Article 6.
Available at: https://btstu.researchcommons.org/journal/vol2026/iss2/6