Comparison of Stiffness and Failure Behavior of the Laminated Grid and Orthogrid Plates

Document Type : Research Paper


1 Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

2 Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad,Iran.


The present paper investigates the advantages of a new class of composite grid structures over conventional grids. Thus far, a known grid structure such as orthogrid or isogrid has been used as an orthotropic layer with at most in-plane anisotropy. The present laminated grid is composed of various numbers of thin composite grid layers. The stiffness of the structure can be adjusted by choosing proper stacking sequences. This concept yields to a large variety of laminated grid configurations with different coupling effects compare to conventional grids. To illustrate the advantages of the laminated grids, the stiffness matrices and the bending response of the laminated and conventional grids are compared. Furthermore, a progressive failure analysis is implemented to compare the failure resistance of laminated and conventional grids. The results indicate that, thoughtful selection of stacking sequences of the laminated grid enhances the stiffness and response of the laminated grids without significant effect on the failure index.


[1] Huybrechts S.M., Hahn S.E., Meink T.E., 1999, Grid stiffened structures: survey of fabrication, analysis and design methods, Proceedings of the 12th International Conference on Composite Materials (ICCM/12).
[2] Chen H.J., Tsai S.W., 1996, Analysis and optimum design of composite grid structures, Journal of Composite Materials 30: 503-534.
[3] Gürdal Z., Gendron G., 1993, Optimal design of geodesically stiffened composite cylindrical shells, Composites Engineering 3: 1131-1147.
[4] Oliveira J.G., Christopoulos D.A., 1981, A practical method for the minimum weight design of stiffened plates under uniform lateral pressure, Computers & Structures 14: 409-421.
[5] Kidane S., Li G., Helms J., Pang S.S., Woldesenbet E., 2003, Buckling load analysis of grid stiffened composite cylinders, Composites Part B: Engineering 34: 1-9.
[6] Ambur D.R., Jaunky N., 2001, Optimal design of grid-stiffened panels and shells with variable curvature, Composite Structures 52: 173-180.
[7] Chen C.J., Liu W., Chern S.M., 1994, Vibration analysis of stiffened plates, Computers & Structures 50: 471-480.
[8] Shi S., Sun Z., Ren M., Chen H., Hu X., 2013, Buckling resistance of grid-stiffened carbon-fiber thin-shell structures, Composites Part B: Engineering 45: 888-896.
[9] Lai C., Wang J., Liu C., 2014, Parameterized finite element modeling and buckling analysis of six typical composite grid cylindrical shells, Applied Composite Materials 21: 739-758.
[10] Huang L., Sheikh A.H., Ng C. T., Griffith M.C., 2015, An efficient finite element model for buckling analysis of grid stiffened laminated composite plates, Composite Structures 122: 41-50.
[11] Anyfantis K.N. , Tsouvalis N.G., 2012, Post buckling progressive failure analysis of composite laminated stiffened panels, Applied Composite Materials 19: 219-236.
[12] Pietropaoli E., 2012, Progressive failure analysis of composite structures using a constitutive material model (USERMAT) developed and implemented in ANSYS, Applied Composite Materials 19: 657-668.
[13] Kollar L.P., Springer G.S., 2003, Mechanics of Composite Structures, Cambridge University Press.
[14] Naik N.K., Chandra Sekher Y., Meduri S., 2000, Damage in woven-fabric composites subjected to low-velocity impact, Composites Science and Technology 60: 731-744.
[15] Barbero E.J., 1999, Introduction to Composite Materials Design, Taylor & Francis.
[16] Chang F. K., Chang K.Y., 1987, A progressive damage model for laminated composites containing stress concentrations, Journal of Composite Materials 21: 834-855.
[17] Lessard L.B., Shokrieh M.M., 1995, Two-dimensional modeling of composite pinned-joint failure, Journal of Composite Materials 29: 671-697.
[18] Ambur D.R., Jaunky N., Hilburger M.W., 2004, Progressive failure studies of stiffened panels subjected to shear loading, Composite Structures 65: 129-142.