Abstract
The maximum strength ratio and more uniform strength for all layers can be achieved by variation of winding angle of filament-wound (FW) vessel. The deformation and stresses of a thick-walled cylinder with multi-angle winding filament under uniform internal pressure are proposed. The stresses of each orthotropic unit of fiber layers, as well as longitudinal stress along the fiber direction, transverse stresses perpendicular to the fiber direction and shear stress in the fiber layer are derived analytically. An optimization model of FW closed ends vessel under uniform internal pressure subjected to Tsai–Wu failure criterion to maximize the lowest strength ratio through thickness with optimal variation of winding angle is built. Two optimization methods are adopted to find the optimized winding angle sequence through different ways, and their combination led to more efficient algorithm is suggested. The research shows that the material utilization and working pressure can be increased by proper winding angle variation, and several optimization winding angle sequence schemes are found for different thickness ratios cylindrical vessels with two typical composite materials E-glass/epoxy and T300/934, which are useful for many applications of FW vessel design and manufacture.
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References
Tsai, S.W.: Composite design. In: Think Composites, 4th edn. Dayton (1988)
Skinner, M.L.: Trends, advances and innovations in filament winding. Reinf. Plast. 2, 28–33 (2006)
Mertiny, P., Ellyin, F., Hothan, A.: An experimental investigation on the effect of multi-angle filament winding on the strength of tubular composite structures. Compos. Sci. Technol. 64, 1–9 (2004)
Soden, P.D., Kitching, R., Tse, P.C., Tsavalas, Y., Hinton, M.J.: Influence of winding angle on the strength and deformation of filament-wound composite tubes subjected to uniaxial and biaxial loads. Compos. Sci. Technol. 46, 363–378 (1993)
Soden, P.D., Leadbetter, D., Griggs, P.R., Eckold, G.C.: The strength of a filament wound composite under biaxial loading. Composites 9, 247–250 (1978)
Spencer, B., Hull, D.: Effect of winding angle on the failure of filament wound pipe. Composites 9, 263–271 (1978)
Soden, P.D., Kitching, R., Tse, T.C.: Experimental failure stresses for \({\pm }\)55 filament wound glass fiber reinforced plastic tubes under biaxial loads. Composites 20, 125–135 (1989)
Ellyin, F., Carroll, M., Kujawski, D., Chiu, A.S.: The behavior of multidirectional filament wound fiber glass/epoxy tubulars under biaxial loading. Composites 28A, 781–790 (1997)
Antoniou, A.E., Kensche, C., Philippidis, T.P.: Mechanical behavior of glass/epoxy tubes under combined static loading. Part I: experimental. Compos. Sci. Technol. 69, 2241–2247 (2009)
Cohen, D.: Influence of filament winding parameters on composite vessel quality and strength. Compos. Part A Appl. Sci. Manuf. 28, 1035–1047 (1997)
Mertiny, P., Ellyin, F., Hothan, A.: Stacking sequence effect of multi-angle filament wound tubular composite structures. J. Compos. Mater. 38, 1095–1113 (2004)
Roy, A.K., Tsai, S.W.: Design of thick composite cylinders. J. Press. Vessel Technol. 110, 255–262 (1988)
Xing, J.Z., Geng, P., Yang, T.: Stress and deformation of hybrid filament-wound thick cylinder vessel under internal and external pressure. Compos. Struct. 131, 868–877 (2015)
Kim, J.S., Kim, C.G., Hong, C.S.: Optimum design of composite structures with ply drop using genetic algorithm and expert system shell. Compos. Struct. 46, 171–187 (1999)
Farshi, B., Rabiei, R.: Optimum design of composite laminates for frequency constraints. Compos. Struct. 01, 587–597 (2007)
Naik, G.N., Gopalakrishnan, S., Ganguli, R.: Design optimization of composites using genetic algorithms and failure mechanism based failure criterion. Compos. Struct. 83, 354–367 (2008)
Paluch, B., Grédiac, M., Faye, A.: Combining a finite element programme and a genetic algorithm to optimize composite structures. Compos. Struct. 83, 284–294 (2008)
Park, C.H., Saouab, A., Breard, J., et al.: An integrated optimization for the weight, the structural performance and the cost. Compos. Sci. Technol. 69, 1101–1107 (2009)
Irisarri, F.X., Bassir, D.H., Carrere, N., et al.: Multiobjective stacking sequence optimization for laminated composite structures. Compos. Sci. Technol. 69, 983–990 (2009)
Almeida, F.S., Awruch, A.M.: Design optimization of composite laminated structures using genetic algorithms and finite element analysis. Compos. Struct. 88, 443–454 (2009)
Apalak, M.K., Yildirim, M., Ekici, R.: Layer optimization for maximum fundamental frequency of laminated composite plates. Compos. Sci. Technol. 68, 537–550 (2008)
Todoroki, A., Sekishiro, M.: New iteration fractal branch and bound method for stacking sequence optimizations of multiple laminates. Compos. Struct. 81, 419–426 (2007)
Grédiac, M.: On the stiffness design of thin woven composites. Compos. Struct. 51, 245–255 (2001)
Tabakov, P.Y., Summers, E.B.: Lay-up optimization of multilayered anisotropic cylinders based on a 3-D elasticity solution. Compos. Struct. 84, 374–384 (2006)
Liu, K.S., S W, Tsai: A progressive quadratic failure criterion for a laminate. Compos. Sci. Technol. 58, 1023–1032 (1998)
Rao, S.S.: Engineering Optimization Theory and Practice. Wiley, Hoboken (2009)
Goetschel, D.B., Radford, D.W.: Analytical development of through-thickness properties of composite laminates. J. Adv. Mater. 29, 37–46 (1997)
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Geng, P., Xing, J.Z. & Chen, X.X. Winding angle optimization of filament-wound cylindrical vessel under internal pressure. Arch Appl Mech 87, 365–384 (2017). https://doi.org/10.1007/s00419-016-1198-5
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DOI: https://doi.org/10.1007/s00419-016-1198-5