Transient responses of laminated composite plates
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ORIGINAL PAPER
Transient responses of laminated composite plates Prithwish Saha1 · Kalyan Kumar Mandal2 Received: 28 February 2019 / Accepted: 3 September 2020 © Springer Nature Switzerland AG 2020
Abstract This article deals with transient responses in terms of displacement and stresses in composite plates. Eight-node isoparametric elements with five degrees of freedom at each node are used to model the plate. First order shear deformation theory (FSDT) with proper shear correction factor is considered to simulate the strain parameters of the plate. The time history responses of the composite plates with both symmetric and anti-symmetric ply layers against different sinusoidal excitation of different excitation frequencies is computed. The effect of different boundary conditions, ply orientation, plan dimension and plate thickness are studied rigorously. Contour plot for normal stress, inplane shear stress and transverse shear stress is plotted for varying ply orientations and boundary conditions for each ply layer. Comparative studies of various stress contours across different layers in a lamina for similar loading or boundary conditions are also presented. A suggestive guideline for design engineers is also provided in terms of stress contour plot for most suitable ply angle and orientation of a composite plate. Keywords Laminated composite plate · Transient response · Transverse shear stress · Newmark’s integration · Stress contour plot
Introduction In the field of applied mechanics, laminated composites are very popular among the researchers, due to its higher strength/stiffness to weight ratio, long fatigue life and good corrosion resistance. These materials show higher stability and excellent failure resistance capability by altering lamina staking sequence and ply angle. In other words, strength of a structure at different parts can be customized by pre designing its material properties. Due to these advantages, researchers round the world are engaged to explore different properties of composite. Structures, throughout its life undergo different types of loadings which lead to vibration, fatigue, corrosion and finally failure. To assure the structure to behave properly as intended throughout its life, it is very important to estimate its range of vibration properties such as frequency or time period. The free vibration characteristics of geometrically * Kalyan Kumar Mandal [email protected] 1
Department of Civil Engineering, Heritage Institute of Technology, Kolkata, India
Department of Civil Engineering, Jadavpur University, Kolkata, India
2
linear and non-linear composite plates were studied by many researchers (Reddy 1979; Harras et al. 2002; Matsunaga 2001). Damped as well as undamped free vibration of laminated composite plate and shell were studied by Lee and Han (2006). Prusty (2008) studied free vibration and buckling characteristics of stiffened composite panneles. Chattopadhyay et al. (1992) studied free vibration response of eccentrically stiffened plates. Mandal et al. (2019
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