Large Amplitude Vibration Analysis of Laminated Composite Spherical Panels Under Hygrothermal Environment

Mahapatra, Trupti Ranjan; Kar, Vishesh Ranjan; Panda, Sidhartha

doi:10.1142/s0219455414501053

Cited by 40 publications

(4 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Some literature reviews on nonlinear vibrations of plates were given by Chia [2,3] and Mehar and Panda [4]. e nonlinear vibrations of laminated composite spherical shell panels were also entirely investigated by Mahapatra et al [5][6][7][8][9]. e vibration, bending, and buckling behaviors about the functionally graded sandwich structure have been investigated by Mehar et al [10][11][12][13] and Kar and Panda [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibrations of Laminated Cross-Ply Composite Cantilever Plate in Subsonic Air Flow

Liu

Zhang

2020

Mathematical Problems in Engineering

View full text Add to dashboard Cite

The nonlinear vibrations and responses of a laminated composite cantilever plate under the subsonic air flow are investigated in this paper. The subsonic air flow around the three-dimensional cantilever rectangle laminated composite plate is considered to be decreasing from the wing root to the wing tip. According to the ideal incompressible fluid flow condition and the Kutta–Joukowski lift theorem, the subsonic aerodynamic lift on the three-dimensional finite length flat wing is calculated by using the Vortex Lattice (VL) method. The finite length flat wing is modeled as a laminated composite cantilever plate based on Reddy’s third-order shear deformation plate theory and the von Karman geometry nonlinearity is introduced. The nonlinear partial differential governing equations of motion for the laminated composite cantilever plate subjected to the subsonic aerodynamic force are established via Hamilton’s principle. The Galerkin method is used to separate the partial differential equations into two nonlinear ordinary differential equations, and the four-dimensional nonlinear averaged equations are obtained by the multiple scale method. Through comparing the natural frequencies of the linear system with different material and geometric parameters, the relationship of 1 : 2 internal resonance is considered. Corresponding to several selected parameters, the frequency-response curves are obtained. The hardening-spring-type behaviors and jump phenomena are exhibited. The influence of the force excitation on the bifurcations and chaotic behaviors of the laminated composite cantilever plate is investigated numerically. It is found that the system is sensitive to the exciting force according to the complicate nonlinear behaviors exhibited in this paper.

show abstract

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibrations of Laminated Cross-Ply Composite Cantilever Plate in Subsonic Air Flow

Liu

Zhang

2020

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Researching on laminated composite materials, Hirwani et al [26] introduced the nonlinear free vibration analysis of laminated carbon/epoxy curved panels, and in [27] investigated the nonlinear finite element analysis of transient behavior of delaminated composite plate. Mahapatra et al [28] presented large amplitude vibration analysis of laminated composite spherical panels under hygrothermal environment. Hassanli and Samali [29] studied the buckling of laminated composite curved panels embedded with shape memory alloy (SMA) fibers under different geometrical conditions.…”

Section: Introductionmentioning

confidence: 99%

Vibration and nonlinear dynamic analysis of variable thickness sandwich laminated composite panel in thermal environment

Nguyen

Kim

et al. 2020

Jnl of Sandwich Structures & Materials

View full text Add to dashboard Cite

Based on the first-order shear deformation theory taking into account geometrical nonlinearity, initial geometrical imperfection, vibration and nonlinear dynamic analysis of the sandwich laminated composite panel characterized by a continuous thickness variation in thermal environment and resting on an elastic foundation are considered in this paper. Variable thickness could affect the design of composite panel since it allows to tailor the stiffness features in the most stressed areas within the domain, keeping the weight constant. As a consequence, an improved dynamic behavior of the structure may be exhibited. The motion equations of dynamic analysis are determined due to Galerkin method and the obtained equation is numerically solved by using Runge-Kutta method. In numerical results, the effects of initial geometrical imperfections and geometrical parameters, material properties, coefficients of foundation, mechanical loads, temperature and the variable thickness on the nonlinear dynamic response and vibration of the laminated composite panel are investigated.

show abstract

“…The dynamic responses of different shell structures for predefined arbitrary velocity and path of moving load was studied by Kiani (2017a, 2017b). Mahapatra et al (2016) presented the hygro-thermo-elastic constitutive relationship–based mathematical formulation for the nonlinear free vibration study of laminated composite shell structure. The literature studies on free and forced vibration of different functionally graded (FG) material-based skew shell structures are limited (e.g.…”

Section: Introductionmentioning

confidence: 99%

Vibration characteristics and damping properties of functionally graded carbon nanotubes reinforced hybrid composite skewed shell structures under hygrothermal conditions

Patnaik

Roy

2020

Journal of Vibration and Control

View full text Add to dashboard Cite

The present article deals with the vibration and damping characteristics of functionally graded carbon nanotubes reinforced hybrid composite skewed shell structure in different hygrothermal conditions. Carbon nanotube reinforced polymer as a matrix phase and carbon fibre as a reinforcing phase are used, and carbon fibre is graded with uniform distribution along the thickness direction for the shell panel according to the power law distribution. The Mori–Tanaka scheme and strength of materials are used to determine the mechanical properties of such functionally graded carbon nanotubes reinforced hybrid composite materials. Finite element modelling has been done by considering an eight-noded shell element with the transverse shear effect according to Mindlin’s hypothesis, and an oblique coordinate system is used for the functionally graded carbon nanotubes reinforced hybrid composite skewed shell structures. Damping is incorporated into such carbon nanotube–based hybrid skewed shell structure based on the Rayleigh damping model. A MATLAB-based in-house computer code has been developed for the proposed formulation and verified with published research work before using for the present dynamic analysis of functionally graded carbon nanotubes reinforced hybrid composite skewed shell structure under hygrothermal conditions. The effect of the carbon nanotube, carbon fibre, material distribution as per power law index and hygrothermal conditions on the damping behaviour of such functionally graded carbon nanotubes reinforced hybrid composite skewed shell structures have been studied. Furthermore, parametric studies are carried out for the first resonant frequency, absolute amplitude, settling time and carbon nanotube impact on the vibrational behaviour of different functionally graded carbon nanotubes reinforced hybrid composite skewed shell structures under different hygrothermal conditions.

show abstract

Large Amplitude Vibration Analysis of Laminated Composite Spherical Panels Under Hygrothermal Environment

Cited by 40 publications

References 23 publications

Nonlinear Vibrations of Laminated Cross-Ply Composite Cantilever Plate in Subsonic Air Flow

Nonlinear Vibrations of Laminated Cross-Ply Composite Cantilever Plate in Subsonic Air Flow

Vibration and nonlinear dynamic analysis of variable thickness sandwich laminated composite panel in thermal environment

Vibration characteristics and damping properties of functionally graded carbon nanotubes reinforced hybrid composite skewed shell structures under hygrothermal conditions

Contact Info

Product

Resources

About