Free Damped Vibration Analysis of Sandwich Plates with CNT-Reinforced MRE Core and Laminated Three-Phase Polymer/GPL/Fiber Face Sheets

Journal of Solid Mechanics

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 17 بهمن 1401

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2022.1968033.1750

نویسندگان

A Karbasizadeh¹؛ A Ghorbanpour Arani^{* 1}؛ Sh Niknejad¹؛ Z Khoddami Maraghi²

¹Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

²Faculty of Engineering, Mahallat Institute of Higher Education, Mahallat, Iran

چکیده

In this article, an analytical solution is provided for the free damped vibration analysis of a sandwich plate resting on a visco-Pasternak foundation. The plate consists of a magnetorheological elastomer (MRE) core reinforced with carbon nanotubes (CNTs) and laminated polymer-based face sheets enriched with graphene nanoplatelets (GPLs) and glass fibers. The governing equations and associated boundary conditions are derived utilizing Hamilton’s principle and are solved analytically using Navier’s method for a simply supported plate. The influences of various parameters on the natural frequencies and corresponding loss factors are examined such as aspect ratio of the plate, thickness-to-length of the plate, magnetic field intensity, thickness of the MRE core, mass fraction of the CNTs in the MRE core, mass fractions of the GPLs and fibers in the face sheets, and Winkler, Pasternak, and damping coefficients of the foundation. It is shown that subjoining CNTs to the MRE core leads to a small increase in the natural frequencies and loss factors of the plate. Consequently, due to the high cost of the CNTs, adding them to the MRE core to improve the vibrational characteristics of the sandwich plates with MRE core is not an optimum design.

کلیدواژه‌ها

Vibration؛ Magnetorheological materials؛ Carbon nanotubes؛ Graphene nanoplatelets