A New Approach to Buckling Analysis of Lattice Composite Structures

Subject Areas : Engineering

S.A  Galehdari ¹ (Department of Mechanical Engineering, Najafabad Branch ,Islamic Azad University, Najafabad, Iran---- Modern Manufacturing Technologies Research Center, Najafabad Branch ,Islamic Azad University, Najafabad, Iran)
A.H  Hashemian ² (Mechanical and Aerospace Engineering Department, Science and Research Branch, Islamic Azad University ,Tehran, Iran)
J.E  Jam ³ (Composite Material & Technology, Malek Ashtar University of Technology, Tehran, Iran)
A  Atrian ⁴ (Department of Mechanical Engineering, Najafabad Branch ,Islamic Azad University, Najafabad, Iran---- Modern Manufacturing Technologies Research Center, Najafabad Branch ,Islamic Azad University, Najafabad, Iran)

Received: 2017-06-26 Accepted : 2017-08-22 Published : 2017-09-01

Keywords: Finite Element Method, Composite materials, Lattice structures, Buckling loading,

Abstract :

Buckling strength of composite latticed cylindrical shells is one of the important parameters for studying the failure of these structures. In this paper, new governing differential equations are derived for latticed cylindrical shells and their critical buckling axial loads. The nested structure under compressive axial buckling load was analyzed. Finite Element Method (FEM) was applied to model the structure in order to verify the analytical results. The obtained results were validated based upon the results of previous case studies in literature. For the squared type of lattice composite shells, a new formula for the buckling load was developed and its value was compared to the critical load, using FEM with 3D beam elements. The processes were carried out for three different materials of Carbon/Epoxy, Kevlar/Epoxy and EGlass/Epoxy.

References:

[1] Rehfield L.W., Deo R.B., Renieri G., 1980, Continuous filament advanced composite isogrid: A promising structural concept, Fibrous Composites in Structural Design 1980: 215-239.
[2] Hosmura T., Kawashima T., Mori D., 1981, New CFRP structural element, Japan-US Conferences on Composite Materials, Tokyo.
[3] Hayashi T., 1981, Buckling strength of cylindrical geodesic structures, Japan-US conference on Composite Materials, Tokyo.
[4] Kobayashi S., 1982, Compressive buckling of graphite-epoxy composite circular cylindrical shell, Progress in Science and Engineering of Composites, Tokyo.
[5] Simitses G. J., 1984, An Introduction to the Elastic Stability of Structures, Robert E. Krieger Publishing Company.
[6] Onoda J., 1985, Optimal laminate configurations of cylindrical shell for axial buckling, AIAA Journal 23(7):1093-1098.
[7] Chin H. B., Prevorsek D. C., 1988, Design of composite hull structures for underwater service, Proceeding of the Fourth Japan-U.S Conference on Composite Material.
[8] Philips J.L., Gurdal Z., 1990, Structural analysis and optimum design of geodesically stiffened composite panels, NASA Report CCMS-90-05.
[9] Graham J., 1993, Preliminary techniques for ring and stinger stiffened cylindrical shells, NASA report TM-108399.
[10] Pshenichnov G.I., Klabukova L. S., Ul’yanova V. I., 1998, Solving boundary value problems concerning the bending of latticed rectangular plates by the decomposition method, Journal of Computational Mathematics and Mathematical Physics 38(3): 419-434.
[11] Holzer S. M., Kavi S. A., Tongtoe S., Dolan J.D., 1994, What controls the ultimate load of a glulam dome, Proceedings of the IASS Symposium’94, Atlanta.
[12] Vasiliev V.V., Barynin V. A., Rasin A.F., 2001, Anisogrid lattice structures- survey of development and application, Journal of Composite Structures 54: 361-370.
[13] Vasiliev V.V., Rasin A.F. ,2006, Anisogrid composite lattice structures for spacecraft and aircraft applications, Journal of Composite Structures 76:182-189.
[14] Totaro G., De Nicola F., 2005, Optimization and manufacturing of composite cylindrical anisogrid structures, AIAA/CIRA 13th International Space Planes and Hypersonics Systems and Technologies, Centro Italiano Ricerche Aerospaziali, Capua, Italy.
[15] Fan H., Yang W., Wang B., Yan Y., Fu Q., Fang D., Zhuang Z. ,2006, Design and manufacturing of a composite lattice structure reinforced by continuous carbon fibers, Tsinghua Science and Technology 11(5): 515-522.
[16] Akbari Alashti R., Latifi Rostami S. A., Rahimi G. H., 2013, Buckling analysis of composite lattice cylindrical shells with ribs defects, IJE Transactions A: Basics 26(4): 411-420.
[17] Ghorbanpour Arani A., Moslemian R., Arefmanesh A., 2009, Compressive behavior of glass/epoxy composite laminates with single delimitation, Journal of Solid Mechanics 1:84-90.
[18] Jam J. E., Kia S. M., Ghorbanpour Arani A., Emdadi M., 2011, Elastic buckling of circular annular plate reinforced with carbon nanotubes, Polymer Composites 32: 896-903.
[19] Qatu M. S., 2004, Vibration of Laminated Shells and Plates, First Edition, Elsevier Science Ltd.
[20] Hou A., 1997, Strength of Composite Lattice Structures, Ph.D Thesis, Georgia Institute of Technology.
[21] Hou A., Gramoll K., 1998, Compressive strength of composite lattice structures, Journal of Reinforced Plastics and Composites 17: 462-483.
[22] Leissa A. W., 1973, Vibration of Shells, National Aeronautics and Space Administration , NASA, Washington, United States, NASA SP-288.
[23] Ansys Release 11.0 Inc, Company.
[24] Jones R. M., 1999, Mechanics of Composite Materials, Material and Sciences Series, Taylor & Francis Inc.