Nonlinear Free Vibration Analysis of Laminated Carbon/Epoxy Curved Panels

C.K. Hirwani; T.R. Mahapatra; S. K. Panda; S.S. Sahoo; V.K. Singh; B.K. Patle

doi:10.14429/dsj.67.10072

C.K. Hirwani Department of Mechanical Engineering, National Institute of Technology, Rourkela
T.R. Mahapatra School of Mechanical Engineering, KIIT University, Bhubaneswar
S. K. Panda Department of Mechanical Engineering, National Institute of Technology, Rourkela
S.S. Sahoo Department of Mechanical Engineering, National Institute of Technology, Rourkela
V.K. Singh Department of Mechanical Engineering, National Institute of Technology, Rourkela
B.K. Patle Department of Mechanical Engineering, RSR, Rungta College of Engineering and Technology, Bhilai

DOI: https://doi.org/10.14429/dsj.67.10072

Keywords: Single/doubly curved panels, Nonlinear FEM, Experimental vibration, Modal analysis

Abstract

Nonlinear frequency responses of the laminated carbon/epoxy composite curved shell panels have been investigated numerically and validated with in-house experimentation. The nonlinear responses have been computed numerically via customised computer code developed in MATLAB environment with the help of current mathematical model in conjunction with the direct iterative method. The mathematical model of the layered composite structure derived using various shear deformable kinematic models (two higher-order theories) in association with Green-Lagrange nonlinear strains. The current model includes all the nonlinear higher-order strain terms in the formulation to achieve generality. Further, the modal test has been conducted experimentally to evaluate the desired frequency values and are extracted via the transformed signals using fast Fourier transform technique. In addition, the results are computed using the simulation model developed in commercial finite element package (ANSYS) via batch input technique. Finally, numerical examples are solved for different geometrical configurations and discussed the effects of other design parameters (thickness ratio, curvature ratio and constraint condition) on the fundamental linear and nonlinear frequency responses in details.

Author Biographies

C.K. Hirwani, Department of Mechanical Engineering, National Institute of Technology, Rourkela

Mr Chetan Kumar Hirwani is pursuing his PhD in the Department of Mechanical Engineering, NIT, Rourkela. He has been working on the nonlinear behaviour of delaminated composite plates/shells since last one and half year via experimental and numerical study of different kind of advanced composite components including the simulation. His area of interest is finite element analysis of damaged modelling of laminated composite plate and shell structures.

T.R. Mahapatra, School of Mechanical Engineering, KIIT University, Bhubaneswar

Dr Trupti Ranjan Mahapatra received his PhD from KIIT University, India in 2015. He is working as an Associate Professor in School of Mechanical Engineering, KIIT University. He worked in the field of laminated curved composite structures under hydrothermal environment. His of current research interest includes smart (SMA, PZT and magnetostrictive material) composite structures, nonlinear FEM, Functionally Graded Material and so on.

S. K. Panda, Department of Mechanical Engineering, National Institute of Technology, Rourkela

Dr Subrata Kumar Panda received his PhD from IIT Kharagpur, India, in 2009. He is working as an Assistant Professor in Department of Mechanical Engineering, NIT, Rourkela. His current research interest includes nonlinear solid mechanics, smart composite structures, nonlinear FEM, experimental vibrations, functionally graded materials, SMA, PZT and magnetostrictive material, bio-mechanical analysis of functional materials.

S.S. Sahoo, Department of Mechanical Engineering, National Institute of Technology, Rourkela

Ms Sushree S. Sahoo completed MTech (Research) from Department of Mechanical Engineering NIT, Rourkela. Her skills and expertise includes laminated composites, finite element analysis pertaining to mechanical behaviour of composite materials, experimental vibration analysis.

V.K. Singh, Department of Mechanical Engineering, National Institute of Technology, Rourkela

Mr Vijay Kumar Singh is a PhD scholar in Department of Mechanical Engineering, NIT, Rourkela. He has been working on the nonlinear behaviour of laminated composite plates/shells since last four years using experimental and numerical simulation. His recent area of interest is finite element modelling of smart composite plate and shell structures.

B.K. Patle, Department of Mechanical Engineering, RSR, Rungta College of Engineering and Technology, Bhilai

Dr B.K. Patle has completed his PhD in robotics and structural optimisation from NIT, Rourkela, Odisha. Presently working as an Assistant Professor and HOD at RSR RCET Bhiali, Chhatishgarh, India. His current research interest with laminated structural analysis.