Forced oscillations of a plate consisting of ellipses and circles of various sizes with complex contours on machine parts


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Authors

  • Balakhan Aliyev Department of Mechanical Engineering, Baku Engineering University, Khirdalan, Azerbaijan
  • Asif Guliyev Department of Mechanical Engineering, Baku Engineering University, Khirdalan
  • Kazim Sharifov Department of Mechanical Engineering, Azerbaijan University of Architecture and Construction, Baku
  • Isfandiyar Bakhshiyev Department of Machine and Mechanical Engineering, Azerbaijan University of Architecture and Construction, Baku
  • Shiraliyev Vagif Department of Civil Engineering, Baku Engineering University, Khirdalan
  • Aliyev Abilgani Department of Mechanical Engineering, Azerbaijan Technical University, Baku

Abstract

The article considers forced oscillations of elastic plates in the multilinked area. The surface of the plate undergoes actions of the disturbing force directed along the normal. The task leads to solution of different kinds of differential equations satisfying to initial and boundary conditions of various type. These equations are solved by the Bessel functions and through the method of the theory of functions with complex variables. Thus, the article offers the general methodology to the solutions of the dynamics of the elastic plates that is under action of the disturbing force.

References

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Published

2026-03-08

How to Cite

Aliyev, B., Asif Guliyev, Kazim Sharifov, Isfandiyar Bakhshiyev, Shiraliyev Vagif, & Aliyev Abilgani. (2026). Forced oscillations of a plate consisting of ellipses and circles of various sizes with complex contours on machine parts. Results in Nonlinear Analysis, 8(4), 165–183. Retrieved from https://www.nonlinear-analysis.com/index.php/pub/article/view/713

Issue

Vol. 8 No. 4 (2025): Online First

Section

Articles

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