Buckling Analysis of Variable Angle Tow Composite Plates Using Differential Quadrature Method

Gangadharan Raju, Zhangming Wu, Paul M Weaver

Abstract


Variable Angle Tow (VAT) placement allows the designer to tailor the composite structure to enhance the structural response under prescribed loading conditions. VAT technology allows curvilinear placement of tows within the plane of a structure and gives freedom for altering pointwise in-plane, coupling and flexural stiffnesses of a plate. This stiffness tailoring improves the buckling performance of VAT plates by allowing re-distribution of loads from the critical regions of the plate. In the present work, the Differential Quadrature Method (DQM) is investigated for performing buckling analysis of VAT panels. The governing differential equations are derived for the in-plane and buckling analysis of symmetric VAT plate structure based on classical laminated plate theory. DQM was applied to solve the buckling problem of simply supported VAT plates subjected to uniform edge compression. To show the accuracy and robustness of DQM, the results obtained using DQM are compared with finite element analysis. In this work, Non-Uniform Rational B-Splines (NURBS) curves are used to model the fibre path and the fibre orientation can be designed by modifying the control points within the domain of the plate. The NURBS representation allows general fibre angle variation of tow resulting in wider design space of VAT panels. Also, the number of design variables for VAT panels are reduced by using NURBS curves and the fibre manufacturing constraints can be handled easily. Genetic Algorithm (GA) has been coupled with DQM to determine the optimal tow path for improving the buckling performance.

Keywords


Variable Angle Tow composites; buckling; Differential Quadrature Method

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References


Hyer M.W., Lee H.H. The use of curvilinear fibre format to improve buckling resistance of composite plates with central circular holes. Composite Structure, vol. 18, pp. 239–261, 1991.

Gurdal Z., Olmedo R. In-plane response of laminates with spatially varying fibre orientations: variable stiffness concept. AIAA J., vol. 31(4), pp. 751–758, 1993.

Gurdal Z., Tatting B.F., Wu C.K. Variable stiffness composite panels: Effect of stiffness variation on the in-plane and buckling response. Compos Part A, vol. 39, pp. 911–922, 2008.

Weaver P.M., Potter K.D., Hazra K, Saverymuthupulle M.A.R., Hawthorne M.T. Buckling analysis of variable angle tow plates: from concept to experiment in “Proceeding of 50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural dynamics and Materials conference”, California, USA, 2009.

Wu Z., Raju G., Weaver P.M. Buckling analysis and optimization of variable angle tow plates, Thin-walled structures, vol. 60, pp. 163–172, 2012.

Nagendra S, Kodilyam S., Davis J.E. Optimization of tow fibre paths for composite design in “Proceeding of 36th AIAA/ASME/ASCE/AHS/ASC Structures, Structural dynamics and Materials conference”, Los Angeles, USA, 1995.

Parnas L., Oral S., Ceyhan U. Optimum design of composite structures with curved fibre courses, Comp. Sci. Tech., vol. 63(7), pp. 1071–1082, 2003.

Kim B.C., Potter K.D., Weaver P.M. Continuous tow shearing for manufacturing variable tow composites, Compo Part A, vol. 43(8), pp. 1347–1356, 2012.

Ghiasi H., Fayazbakhsh K., Pasini D., Lessard L. Optimum stacking sequence design of composite materials Part II: Variable stiffness design, Compos Struct, vol. 93, pp. 1–13 2010.

Seetodeh M., Abdalla M.M., IJsselmuiden S.T., Gurdal Z. Design of variable stiffness composite panels for maximum buckling load, Compos Struct, vol. 87, pp. 109–117, 2008.

IJsselmuiden S.T., Abdalla M.M., Gurdal Z. Optimization of variable stiffness panels for maximum buckling load using lamination parameters, AIAA J., vol. 48(1), pp. 134–143, 2010.

Bellmann R.E., Casti J. Differential quadrature and long-term integration, J Math Anal Appl, vol. 34, pp. 235–38, 1971.

Shu C. Differential quadrature and its application in engineering, Springer-verlag, London, 2000.

Shu C, Du H. Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analysis of beams and plates. Intl Journal Solids and Structures, vol. 34, pp. 819–835, 1997.

Shu C, Chen W. On optimal selection of interior points for applying discretized boundary conditions in DQ vibration analysis of beams and plates. J Sound and Vibration, vol. 222(2), pp. 239–257, 1999.

Raju G., Wu Z., Kim B.C., Weaver P.M. Prebuckling and buckling analysis of variable angle to plates with general boundary conditions. Composite Structure, vol. 94, pp. 2961–2970, 2012.


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