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.

Downloads

Download data is not yet available.

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.

References

Kwak, M. K., & Kim, K. C. (1991). Axisymmetric vibration of circular plates in contact with fluid. Journal of Sound and Vibration, 146(3), 381–389. https://doi.org/10.1016/0022-460X(91)90696-H

Endo, H. (2000). The behavior of a VLFS and an airplane during takeoff/landing run in wave condition. Marine structures, 13(4–5), 477–491. https://doi.org/10.1016/S0951-8339(00)00020-4

Kozlovsky, Y. (2009). Vibration of plates in contact with viscous fluid: Extension of Lamb’s model. Journal of Sound and Vibration, 326(1–2), 332–339. https://doi.org/10.1016/j.jsv.2009.04.031

Askari, E., Jeong, K. H., & Amabili, M. (2013). Hydroelastic vibration of circular plates immersed in a liquid-filled container with free surface. Journal of sound and vibration, 332(12), 3064–3085. https://doi.org/10.1016/j.jsv.2013.01.007

Tariverdilo, S., Shahmardani, M., Mirzapour, J., & Shabani, R. (2013). Asymmetric free vibration of circular plate in contact with incompressible fluid. Applied Mathematical Modelling, 37(1–2), 228–239. https://doi.org/10.1016/j.apm.2012.02.025

Allahverdizadeh, A., Naei, M. H., & Bahrami, M. N. (2008). Nonlinear free and forced vibration analysis of thin circular functionally graded plates. Journal of sound and vibration, 310(4–5), 966–984. https://doi.org/10.1016/j.jsv.2007.08.011

Jeong, K. H. (2003). Free vibration of two identical circular plates coupled with bounded fluid. Journal of Sound and Vibration, 260(4), 653–670. https://doi.org/10.1016/S0022-460X(02)01012-X

Jeong, K. H., & Kim, K. J. (2005). Hydroelastic vibration of a circular plate submerged in a bounded compressible fluid. Journal of Sound and Vibration, 283(1–2), 153–172. https://doi.org/10.1016/j.jsv.2004.04.029

Amabili, M. (1996). Effect of finite fluid depth on the hydroelastic vibrations of circular and annular plates. Journal of Sound and Vibration, 193(4), 909–925. https://doi.org/10.1006/jsvi.1996.0322

Shafiee, A. A., Daneshmand, F., Askari, E., & Mahzoon, M. (2014). Dynamic behavior of a functionally graded plate resting on Winkler elastic foundation and in contact with fluid. Struct. Eng. Mech, 50(1), 53–71. http://dx.doi.org/10.12989/sem.2014.50.1.053

Canales, F. G., & Mantari, J. L. (2017). Laminated composite plates in contact with a bounded fluid: Free vibration analysis via unified formulation. Composite Structures, 162, 374–387. https://doi.org/10.1016/j.compstruct.2016.11.079

Bo, J. (1999). The vertical vibration of an elastic circular plate on a fluid-saturated porous half space. International journal of engineering science, 37(3), 379–393. https://doi.org/10.1016/S0020-7225(98)00073-1

Khorshidi, K., Akbari, F., & Ghadirian, H. (2017). Experimental and analytical modal studies of vibrating rectangular plates in contact with a bounded fluid. Ocean Engineering, 140, 146–154. https://doi.org/10.1016/j.oceaneng.2017.05.017

Soni, S., Jain, N. K., & Joshi, P. V. (2018). Vibration analysis of partially cracked plate submerged in fluid. Journal of Sound and Vibration, 412, 28–57. https://doi.org/10.1016/j.jsv.2017.09.016

Soni, S., Jain, N. K., & Joshi, P. V. (2019). Stability and dynamic analysis of partially cracked thin orthotropic microplates under thermal environment: An analytical pproach. Mechanics Based Design of Structures and Machines, 1–27. https://doi.org/10.1080/15397734.2019.1620613

Jomehzadeh, E., Saidi, A. R., & Atashipour, S. R. (2009). An analytical approach for stress analysis of functionally graded annular sector plates. Materials & design, 30(9), 3679–3685. https://doi.org/10.1016/j.matdes.2009.02.011

Hejripour, F., & Saidi, A. R. (2012). Nonlinear free vibration analysis of annular sector plates using differential quadrature method. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 226(2), 485–497. https://doi.org/10.1177/0954406211414517

Canales, F. G., & Mantari, J. L. (2017). Laminated composite plates in contact with a bounded fluid: Free vibration analysis via unified formulation. Composite Structures, 162, 374–387. https://doi.org/10.1016/j.compstruct.2016.11.079

Bert, C. W., & Malik, M. (1996). Differential quadrature method in computational mechanics: a review. https://doi.org/10.1115/1.3101882

Malekzadeh, P. (2007). A differential quadrature nonlinear free vibration analysis of laminated composite skew thin plates. Thin-walled structures, 45(2), 237–250. https://doi.org/10.1016/j.tws.2007.01.011

Amini, M. H., Soleimani, M., Altafi, A., & Rastgoo, A. (2013). Effects of geometric nonlinearity on free and forced vibration analysis of moderately thick annular functionally graded plate. Mechanics of Advanced Materials and Structures, 20(9), 709–720. https://doi.org/10.1080/15376494.2012.676711

Downloads

Published

2021-05-22

How to Cite

Nasrollah Barati, A. H., Jafari, A. A., Haghighi, S. E., & Maghsoudpour, A. (2021). Effect of Hydrostatic Pressure on Nonlinear Vibrating of Annular Circular Plate Coupled with Bounded Fluid. European Journal of Computational Mechanics, 29(4-6), 491–516. https://doi.org/10.13052/ejcm1779-7179.29468

Issue

2020: Vol 29 Iss 4-6

Section

Dynamics of Structures and Vibrations