Investigating nonlinear vibration behavior of sandwich panels with multi-scale skins based on a numerical method

Zhenming Cui, Xin Cai, H. Elhosiny Ali and Sami Muhsen

Abstract

A nonlinear vibrational analysis of sandwich curved panels having multi-scale face sheets has been performed in this article based on differential quadrature method (DQM). All mechanical properties of multi-scale skins have been established in the context of three-dimensional Mori-Tanaka scheme for which the influences of glass fibers and random carbon nanotubes (CNTs) have been taken into account. The governing equations for sandwich the panel have been developed based upon thin shell formulation in which geometry nonlinearities have been taken into account. Next, DQ approach has been applied to solve the governing equations for determining the relationships of frequencies with deflections for curved panels. It will be demonstrated that the relationships of frequencies with deflections are dependent on the changing of CNT weight fractions, fibers alignment, fibers volume, panel radius and skin thickness.

Key Words

curved panel; nanocomposite materials; nonlinear vibrations; numerical method; Shell theory

Address

Zhenming Cui: College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210000, Jiangsu, China Xin Cai: College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210000, Jiangsu, China; College of Mechanics and Materials, Hohai University, Nanjing 210000, Jiangsu, China H. Elhosiny Ali: Department of Physics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi Arabia; Research Center for Advanced Materials Science (RCAMS), King Khalid University, Abha 61413, P.O. Box 9004, Saudi Arabia; Department of Physics, Faculty of Science, Zagazig University, Egypt Sami Muhsen: Air Conditioning and Refrigeration Techniques Engineering Department, Al-Mustaqbal University College, Babylon, Iraq

← Back to Volume 83, No. 3