The effect of accuracy of the length scale parameter on natural frequencies of porous rectangular microplate

Document Type : Research Article

Authors

Department of Mechanical Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

The length-scale parameter as a primary factor has an important role in the approximation of natural frequencies of micro-structures. Applying the exact length scale parameters which are recently determined by researchers, natural frequencies of porous microstructures are determined. Since the assumption of constant length-scale parameter leads to deviation of natural frequencies from their exact value, this research applies a length scale parameter which is a function of plate thickness and material. To model the porous structure of the microplate, various porous models including evenly porosity mode, unevenly symmetric porosity model, and unevenly asymmetric porosity model are employed. The microplate is assumed to be thin, and classical plate theory is utilized to approximate the displacement field of the microplate. The modified couple stress theory is used to capture the microstructural behavior of the microplate. The trial functions which satisfy the boundary conditions are taken as the polynomial form. Evaluating the energy values of the system, the Rayleigh-Ritz method is employed to solve the governing equations of the system. The results obtained in the present work are validated with data given in the literature search. A parameter study is performed to study the effects of various parameters on the natural frequency of the microplate.

Keywords

Main Subjects

References

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Amirkabir Journal of Mechanical Engineering
Volume 53, Issue 2 (Special Issue)
May 2021
Pages 1179-1196

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