Nonlinear frequency and dynamic response of PLA polymeric imperfect FG sandwich plates under hygrothermal conditions

Zuhair Farhan Abo Alhous, Muhsin J. Jweeg, Emad Kadum Njim, Ahmed Mouthanna, Mujtaba A. Flayyih, Royal Madan, Pallavi Khobragade and Praveen Kumar Rai

Abstract

This paper investigates the nonlinear free vibration behavior of porous functionally graded (PFG) sandwich plates under hygrothermal conditions. The material properties of the PFG plates are assumed to change continuously across the thickness governed by the volume fraction of composition. An enhanced rule of mixtures including the distribution of porosity throughout the cross-section was utilized for material modeling. The foundation medium is modeled as nonlinear, homogeneous, and isotropic, which is then solved by using Galerkin's model. The study employs first-order shear deformation theory (FSDT) in the kinematic relations, and the equations of motion are derived using Hamilton's principle. An analytical solution is developed for the PFG sandwich plates, assuming supported boundary conditions. The study thoroughly examines the fundamental natural frequency of PFG plates, considering the impacts of the hygrothermal environment, porosity volume percentage, and span-to-depth ratio. To validate the analytical results, a numerical analysis using finite element method (FEM) is performed using ANSYS software. A maximum discrepancy of 11% was found between the two approaches.

Key Words

analytical modeling; functionally graded composites; nonlinear free oscillations; porous materials; sandwich structures

Address

Zuhair Farhan Abo Alhous: Department of Mechanical Engineering, Faculty of Engineering, Kufa University, Iraq Muhsin J. Jweeg: College of Technical Engineering, Al-Farahidi University, Iraq Emad Kadum Njim: Ministry of Industry and Minerals, State Company for Rubber and Tires Industries, Iraq Ahmed Mouthanna: College of Engineering, University of Anbar, Ramadi, Anbar, Iraq Mujtaba A. Flayyih: Prosthetics and Orthotics Engineering, College of Engineering, AL-Mustaqbal University, 51001 Hillah, Babil, Iraq Royal Madan: Department of Mechanical Engineering, Graphic Era (Deemed to be University), Dehradun 248002, Uttarakhand, India Pallavi Khobragade: Department of Civil Engineering, Dev Bhoomi Uttarakhand University, Dehradun, India Praveen Kumar Rai: Department of Mechanical Engineering, University of Lucknow, Lucknow, Uttar Pradesh, 226007, India

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