TY - JOUR
T1 - Vibration Behavior of a Sandwich Porous Elliptical Micro-Shell with a Magneto-Rheological Core Based on the Modified Couple Stress Theory
AU - Mohammadpour , A.
AU - Mehrabadi , S. Jafari
AU - Yousefi , P.
AU - Monfared , H. Mohseni
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 1655
EP - 1698
PY - 2023
DA - 2023/10
SN - 15
DO - http://doi.org/10.4208/aamm.OA-2022-0176
UR - https://global-sci.org/intro/article_detail/aamm/22055.html
KW - Elliptical micro shell, free vibration, magneto-rheological core, modified couple stress theory, sandwich porous material.
AB - <p style="text-align: justify;">Recently, the use of porous materials has grown widely in many structures,
such as beams, plates, and shells. The characteristics of porous materials change in the
thickness direction by different functions. This study has investigated the free vibration analysis of a sandwich porous elliptical micro-shell with a magneto-rheological
fluid (MRF) core for the first time. Initially, we examined the displacement of the middle layer’s macro- and micro-components, using Love’s shell theory. Next, we used
the modified couple stress theory (MCST) to obtain the strain and symmetrical curvature tensors for the three layers. The Hamilton’s principle was implemented to derive
the equations of motion. We also used the Galerkin’s method to solve the equations
of motion, resulting in a system of equations in the form of a linear eigenvalue problem. By solving the governing equations, we obtained the various natural frequencies
and loss factors of the elliptical micro-shell, and compared them with the results in
earlier studies. Lastly, we investigated the effects of thickness, porosity distribution
pattern, aspect ratio, length scale parameter, and magnetic field intensity on the natural frequency and loss factor of the micro-shell. The data accuracy was validated by
comparing them with those of reputable previous articles.</p>