Abstract
In this paper, the nonlinear dynamics behavior of the bending deflection of a stiffened composite laminated plate is suppressed using beam stiffeners at different fiber volume fractions and different aspect ratios. The non-periodic motion and chaos in a stiffened composite laminated plate is detected using the largest Lyapunov exponent parameter and power density function of a fast Fourier transform (FFT). The critical buckling load is calculated at different thickness ratios, numbers of stiffeners, lamination angles and stiffener–depth ratios based on different boundary conditions. The nonlinear response of the bending deflection is analyzed analytically, numerically and experimentally. The analytic solution has been derived using Levy and Navier solutions of classical laminate plate theory at different boundary conditions (CLPT). The numerical simulation was conducted using the ANSYS program while the experiment test was carried out using a strain gauge through a strain meter device. Experimentally, a Southwell plot is used to investigate the value of the critical buckling load. The combined loading are the in-plane compression mechanical load and shear force. All the values of the largest Lyapunov exponent are positive, which gives indication to non-periodic motion and chaos. The nonlinear dynamics behavior of the bending deflection is decreased with the increasing of number of stiffeners in which the value of largest Lyapunov exponent has been decreased. The nonlinear dynamics behavior is increased with the increasing of aspect ratios and fiber volume fractions. The system with an aspect ratio (2.5) and fiber volume fraction (υf = 80%) for an un-stiffened plate is more chaotic than the other systems.
Highlights
The stiffened composite laminated plate is widely used in steam boilers with longitudinal tubes, bodies’ ships and submarines’ space crafts by taking into consideration the high stiffness and the ratio between the high strength and low weight
They used finite element analysis to study the effects of aspect ratio, the radius of curvature and the thickness ratio on the nonlinear dynamics phenomenon of composite plate [1]
A nonlinear finite element method is presented by Taczała et al to investigate the nonlinear stability of stiffened functionally graded materials (FGM) plates [3]
Summary
The stiffened composite laminated plate is widely used in steam boilers with longitudinal tubes, bodies’ ships and submarines’ space crafts by taking into consideration the high stiffness and the ratio between the high strength and low weight. Keshav and Patel studied the non-linear dynamic buckling behavior of laminated composite curved panels when the plate is subjected to a rectangular pulse load at various amplitude and durations They used finite element analysis to study the effects of aspect ratio, the radius of curvature and the thickness ratio on the nonlinear dynamics phenomenon of composite plate [1]. The nonlinear dynamics behavior of the bending deflection through the plate thickness for the stiffened composite laminated plate is detected using the largest Lyapunov exponent parameter and power density function of fast Fourier transform (FFT). (g) Sections 8 and 9 discuss how to detect the non-periodic motion of the bending deflection in un-stiffened and stiffened composite laminated plate using the largest Lyapunov exponent parameter and power density function of the fast Fourier transform (FFT) The critical buckling load is calculated using a Southwell plot. (b) Section 3 discusses the analytical solution of the bending deflection and critical buckling load for the (S-F-S-F) boundary condition using the Levy solution. (c) Section 4 discusses the analytic solution of the bending deflection and critical buckling load for the (S-S-S-S) boundary condition using the Navier solution. (d) Section 5 discusses the calculation of the constants that are needed in the solution of the bending deflection and critical buckling load at different boundary conditions. (e) Section 6 discusses the numerical simulation of the bending deflection and critical buckling load using the ANSYS program for an un-stiffened plate and plate with stiffeners. (f) Section 7 discusses the steps how to find the bending deflection and critical buckling load using the ANSYS program. (g) Sections 8 and 9 discuss how to detect the non-periodic motion of the bending deflection in un-stiffened and stiffened composite laminated plate using the largest Lyapunov exponent parameter and power density function of the fast Fourier transform (FFT)
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