The analysis of free vibrations of a sandwich panel with a magnetorheological core and layers of functionally graded materials
Subject Areas : Journal of New Applied and Computational Findings in Mechanical Systems
Farzad Shahryari
1
,
Mehdi Shekarzadeh
2
1 - Mechanical Engineering Department, Islamic Azad University, Ahvaz Branch, Iran
2 - گروه مهندسی مکانیک، دانشگاه آزاد اسلامی، واحد اهواز، اهواز، ایران.
Keywords: Sandwich panel, Magnetorheological, Piezoelectric, Energy method, Hamilton principle,
Abstract :
In this paper, the vibrations of a sandwich panel with a magnetorheological core and upper and lower layers made of targeted piezoelectric materials are examined. In this structure, the core and layers respond to magnetic and electric fields, respectively. To derive the structural equation of this panel, the special relations for each layer are first expressed separately using classical plate theory. Then, using the energy method and Hamilton's principle, the differential equations governing the motion of the system are obtained. Due to the coupling in the equations, the Navier method, which is capable of analyzing simple boundary conditions, is used for the solution. Finally, the effects of various factors such as the type of magnetorheological material used as the core, the thickness ratio of the core to the layers, and the intensity of the magnetic and electric fields on the dimensionless natural frequencies of the sandwich panel are investigated. The results show that applying electric and magnetic fields has a significant impact on increasing the dimensionless natural frequencies of the panel. Additionally, increasing the layer thickness and the length-to-width ratio of the panel leads to a reduction in the natural frequency. Among the three types of cores examined, the results indicate that the second type of core exhibits greater strength in the sandwich structure. The findings of this research can be utilized in various industries, including oil, gas, petrochemicals, aerospace, marine, and automotive.
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