Effect of Hydrostatic Pressure on Nonlinear Vibrating of Annular Circular Plate Coupled with Bounded Fluid

Authors

  • Amir Hossein Nasrollah Barati Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran https://orcid.org/0000-0001-5040-2348
  • Ali Asghar Jafari Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran
  • Shahram Etemadi Haghighi Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • Adel Maghsoudpour Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

DOI:

https://doi.org/10.13052/ejcm1779-7179.29468

Keywords:

Nonlinear vibration, annular circular plate, fluid pressure, differential quadrature method

Abstract

The present study aims to evaluate the nonlinear vibration of an annular circular plate in contact with the fluid. Analysis of plate is based on first-order Shear Deformation Theory (FSDT) by considering of rotational inertial effects and transverse shear stresses. The governing equation of the oscillatory behavior of the fluid is determined by solving the Laplace equation and satisfying its boundary conditions. The nonlinear differential equations are solved based on the differential quadrature method and obtaining nonlinear natural frequency. In addition, the numerical results are presented for a sample plate, and the effect of some parameters such as aspect ratio, boundary conditions, fluid density, and fluid height are investigated. Finally, the results are compared with those of similar studies in the literature.

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Author Biographies

Amir Hossein Nasrollah Barati, Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

Amir Hossein Nasrollah Barati is Ph.D. student in Mechanical Engineering department in the Science and Research Branch of the Islamic Azad university, Tehran, Iran. His research interests include Nonlinear Dynamics, Mechanical Vibration, and Solid-Fluid interaction.

Ali Asghar Jafari, Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran

Ali Asghar Jafari is Professor in K. N. Toosi University of Technology, Tehran, Iran. His research interests Dynamics and Computational Mechanics, Numerical Methods in Engineering, Solid-Fluid interaction, Mechanical Vibration.

Shahram Etemadi Haghighi, Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

Shahram Etemadi Haghighi is Assistant Professor in Mechanical Engineering department in the Science and Research Branch of the Islamic Azad university, Tehran, Iran. His research interests include Nonlinear Systems and Control.

Adel Maghsoudpour, Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

Adel Maghsoudpour is Assistant Professor in Mechanical Engineering department in the Science and Research Branch of the Islamic Azad university, Tehran, Iran. His research interests Mechanical Vibration and Control.

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Published

2021-05-22

Issue

Section

Dynamics of Structures and Vibrations