Dynamic response of laminated composite shells under various impact loads

This paper investigates the dynamic behavior of laminated composite shells (LCS) under the effect of dynamic loads. The governing equations for composite shells have been derived by using Hamilton’s principle. Then, these governing equations have been obtained by using Navier solution method. Many researchers do not use the term of (1+z/R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$1+z/R$\end{document}) in the stress equations. However, these equations with the term of (1+z/R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$1+z/R$\end{document}) have been obtained to get a more realistic model in the proposed study. It is aimed to emphasize the importance of the term (1+z/R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$1+z/R$\end{document}) to take into account the effect of the radius of curvature in the calculation of the equations of the shell elements. In addition, the truncated series are used for a better numerical stability in the solution of the motion equations. The differential equations governing the system are derived by using the dynamic virtual displacements. Time-dependent ordinary differential equations are transformed into the Laplace space. Equations dependent on the parameters are then solved in this space. Calculations are transformed from the Laplace space into the time space by the help of modified Durbin’s algorithm. In order to verify the methodology, the results obtained in this study are compared with those obtained by Newmark and ANSYS finite element methods. The results of numerical studies for the dynamic response of laminated composite shells (LCS) are demonstrated and compared with previous studies in the literature.