Nonlinear dynamics investigation of flexural stiffness of composite laminated plate under the effect of temperature and combined loading using Lyapunov exponent parameter

Abstract

The nonlinear dynamics behavior of the flexural stiffness (bending deflection) of the composite laminated plate is investigated using the conception of largest Lyapunov exponent parameter. Wolf algorithm is used to quantify largest Lyapunov exponent in the presence of aspect ratios and fiber volume fractions. A power spectrum analysis has been done using the amplitude of Fast Fourier Transform (FFT) to detect the non-periodic motion of the bending deflection of the composite laminated plate. The analytic solution has been done using the method of Levy solution of classical laminate plate approach. The simulation process is done using ANSYS software Ver. 18.2. The composite laminated plate is exposed to constant temperatures and combined loading. The temperature gradient of thermal shock is varied between (60 °C and -15 °C) through the laminate thickness. The combined loading are the bending moment (Mo) in the y-direction and in-plane force (Nxx) in the x-direction. The experiment setup has been done through heating and cooling rig test environment. The non-periodic motion of the bending deflection is decreased with the increasing of aspect ratios while the non-periodic motion of the bending deflection is increased with the increasing of fiber volume fractions. The in-plane force (Nxx) has a small effect on the flexural stiffness value within the rate of (95.842%); but the bending moment (Mo) has a great effect on the flexural stiffness value in the rate of (4.158%).