On the thermally induced bistability of composite cylindrical shells for morphing structures

International Journal of Solids and Structures

Volumn 49, Issue 5, 2012, Pages 685-700

  Pirrera, A ^a   Avitabile, D ^b   Weaver, P M ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

^b UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

Bistability; Composite cylindrical shells; Conditioning number; Nondimensional model; Nonlinear; Numerical continuation; Parametric analysis; Ritz method

Indexed keywords

COMPOSITE CYLINDRICAL SHELL; NON-DIMENSIONAL MODELS; NONLINEAR; NUMERICAL CONTINUATION; PARAMETRIC ANALYSIS; RITZ METHODS;

BEAMS AND GIRDERS; CYLINDERS (SHAPES); NUMERICAL METHODS; OPTICAL BISTABILITY; STRAIN;

SHELLS (STRUCTURES);

EID: 84856082348     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2011.11.011     Document Type: Article

References (63)

1. A.F. Arrieta, S.A. Neild, and D.J. Wagg Nonlinear dynamic response and modeling of a bi-stable composite plate for applications to adaptive structures Nonlinear Dynamics 58 1-2 2009 259 272
2. C.R. Bowen, A.I.T. Salo, R. Butler, E. Chang, and H.A. Kim Bi-stable composites with piezoelectric actuators for shape change J.K. Kim, D.Z. Wo, L.M. Zhou, H.T. Huang, K.T. Lau, M. Wang, Key Engineering Materials vol. 334-335 2007 Trans Tech Publications Ltd. Stafa-Zurich 1109 1112
3. Carrella, A.; Friswell, M.I.; Pirrera, A.; Aglietti, G.S.; 2008. Numerical and experimental analysis of a square bistable plate. In: Proceedings of Isma 2008: International Conference on Noise And Vibration Engineering, vols. 1-8. Katholieke Univ Leuven, Dept. Werktuigkunde, Heverlee, pp. 3433-3440.
4. Cerami, M.; Weaver, P.M.; 2008. Characterization of unsymmetric cross-ply laminate deflections using orthogonal polynomials. In: 49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 7-10 April, Schaumburg, Illinois, AIAA Paper 2008-1928.
5. M. Cho, and H.Y. Roh Non-linear analysis of the curved shapes of unsymmetric laminates accounting for slippage effects Composites Science and Technology 63 15 2003 2265 2275 (Pubitemid 37118624)
6. Dang, J.; Tang, Y.; 1986. Calculation of the room-temperature shapes of unsymmetric laminates. In: Proceedings of International Symposium on Composite Materials and Structures, Beijing; People's Republic of China, 10-13 June 1986, pp. 201-206.
7. M.L. Dano, and M.W. Hyer The response of unsymmetric laminates to simple applied forces Mechanics of Composite Materials and Structures 3 1 1996 65 80
8. M.L. Dano, and M.W. Hyer Thermally-induced deformation behavior of unsymmetric laminates International Journal of Solids and Structures 35 17 1998 2101 2120 (Pubitemid 128397603)
9. M.L. Dano, and M.W. Hyer Snap-through of unsymmetric fiber-reinforced composite laminates International Journal of Solids and Structures 39 1 2002 175 198 (Pubitemid 34021251)
10. M.L. Dano, and M.W. Hyer SMA-induced snap-through of unsymmetric fiber-reinforced composite laminates International Journal of Solids and Structures 40 22 2003 5949 5972 (Pubitemid 37172299)
11. Daynes, S.; 2009. On a bistable flap for an airfoil. In: 50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 4-7 May, Palm Springs, California, AIAA Paper 2009-2103.
12. C.G. Diaconu, and P.M. Weaver Postbuckling of long unsymmetrically laminated composite plates under axial compression International Journal of Solids and Structures 43 22-23 2006 6978 6997 (Pubitemid 44442178)
13. C.G. Diaconu, P.M. Weaver, and A.F. Arrieta Dynamic analysis of bi-stable composite plates Journal of Sound and Vibration 322 4-5 2009 987 1004
14. C.G. Diaconu, P.M. Weaver, and F. Mattioni Concepts for morphing airfoil sections using bi-stable laminated composite structures Thin-Walled Structures 46 6 2008 689 701
15. A. Fernandes, C. Maurini, and S. Vidoli Multiparameter actuation for shape control of bistable composite plates International Journal of Solids and Structures 47 10 2010 1449 1458
16. D. Galletly, and S. Guest Bistable composite slit tubes. I. A beam model International Journal of Solids and Structures 41 16-17 2004 4517 4533 (Pubitemid 38814629)
17. D. Galletly, and S. Guest Bistable composite slit tubes. II. A shell model International Journal of Solids and Structures 41 16-17 2004 4503 4516 (Pubitemid 38814628)
18. P.F. Giddings, C.R. Bowen, R. Butler, and H.A. Kim Characterisation of actuation properties of piezoelectric bi-stable carbon-fibre laminates Composites Part A: Applied Science And Manufacturing 39 4 2008 697 703 (Pubitemid 351380969)
19. M. Gigliotti, J. Molimard, F. Jacquemin, and A. Vautrin On the nonlinear deformations of thin unsymmetric 0/90 composite plates under hygrothermal loads Composites Part A: Applied Science and Manufacturing 37 4 2006 624 629 (Internal Stresses in Polymer Composites) (Pubitemid 43267879)
20. M. Gigliotti, M.R. Wisnom, and K.D. Potter Development of curvature during the cure of AS4/8552 [0/90] unsymmetric composite plates Composites Science and Technology 63 2 2003 187 197 (Pubitemid 36036039)
21. M. Gigliotti, M.R. Wisnom, and K.D. Potter Loss of bifurcation and multiple shapes of thin [0/90] unsymmetric composite plates subject to thermal stress Composites Science and Technology 64 1 2004 109 128 (Pubitemid 37388159)
22. M. Golubitsky, D. Schaeffer, and I. Stewart Singularities and Groups in Bifurcation Theory 1988 Springer Verlag
23. M. Gude, and W. Hufenbach Design of novel morphing structures based on bistable composites with piezoceramic actuators Mechanics of Composite Materials 42 4 2006 339 346 (Pubitemid 44434179)
24. S.D. Guest, and S. Pellegrino Analytical models for bistable cylindrical shells Proceedings of the Royal Society A - Mathematical Physical and Engineering Sciences 462 2067 2006 839 854 (Pubitemid 44922126)
25. A. Hamamoto, and M.W. Hyer Non-linear temperature-curvature relationships for unsymmetric graphite-epoxy laminates International Journal of Solids and Structures 23 7 1987 919 935 (Pubitemid 18520300)
26. W. Hufenbach, and M. Gude Analysis and optimisation of multistable composites under residual stresses Composite Structures 55 3 2002 319 327 (Pubitemid 34172233)
27. W. Hufenbach, M. Gude, and A. Czulak Actor-initiated snap-through of unsymmetric composites with multiple deformation states Journal of Materials Processing Technology 175 1-3 2006 225 230 (Pubitemid 43767685)
28. W. Hufenbach, M. Gude, and L. Kroll Design of multistable composites for application in adaptive structures Composites Science and Technology 62 16 2002 2201 2207 (Pubitemid 35420201)
29. W. Hufenbach, M. Gude, L. Kroll, A. Sokolowski, and B. Werdermann Adjustment of residual stresses in unsymmetric fiber-reinforced composites using genetic algorithms Mechanics of Composite Materials 37 1 2001 71 78
30. M.W. Hyer Some observations on the cured shape of thin unsymmetric laminates Journal of Composite Materials 15 Mar 1981 175 194
31. M.W. Hyer, and A. Jilani Predicting the deformation characteristics of rectangular unsymmetrically laminated piezoelectric materials Smart Materials & Structures 7 6 1998 784 791 (Pubitemid 128630909)
32. Iqbal, K.; Pellegrino, S.; 2000. Bi-stable composite shells. In: 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Material Conference and Exhibit, 3-6 April 2000, Atlanta, GA, AIAA Paper 2000-1385.
33. W.J. Jun, and C.S. Hong Effect of residual shear strain on the cured shape of unsymmetric cross-ply thin laminates Composites Science and Technology 38 1 1990 55 67 (Pubitemid 20668721)
34. W.J. Jun, and C.S. Hong Cured shape of unsymmetric laminates with arbitrary lay-up angles Journal of Reinforced Plastics and Composites 11 12 1992 1352 1366 (Pubitemid 23600690)
35. E. Kebadze, S.D. Guest, and S. Pellegrino Bistable prestressed shell structures International Journal of Solids and Structures 41 11-12 2004 2801 2820 (Pubitemid 38546809)
36. Mattioni, F.; Gatto, A.; Weaver, P.M.; Friswell, M.I.; Potter, K.D.; 2006. The application of residual stress tailoring of snap-through composites for variable sweep wings. In: 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Material Conference, 1-4 May 2006, Newport, Rhode Island, AIAA Paper 2006-1972.
37. F. Mattioni, P. Weaver, and M. Friswell Multistable composite plates with piecewise variation of lay-up in the planform International Journal of Solids and Structures 46 1 2009 151 164
38. Mattioni, F.; Weaver, P.M.; Potter, K.D.; Friswell, M.I.; 2006. Multi-stable composites application concept for morphing aircraft. In: ICAST 2005-Sixteenth International Conference on Adaptive Structures and Technologies: October 9-12, 2005, Paris, France. Destech Publications, pp. 45-52.
39. Mattioni, F.; Weaver, P.M.; Potter, K.D.; Friswell, M.I.; 2008. The application of thermally induced multistable composites to morphing aircraft structures. In: Davis, L.P.; Henderson, B.K.; McMickell, M.B. (Eds.), Proceedings Of The Society Of Photo-Optical Instrumentation Engineers (Spie), vol. 6930. SPIE, p. 693012.
40. Murphey, T.; Pellegrino, S.; 2004. A novel actuated composite tape-spring for deployable structures. In: 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Material Conference, 19-22 April 2004, Palm Springs, CA, AIAA Paper 2004-1528.
41. L.J.B. Peeters, P.C. Powell, and L. Warnet Thermally-induced shapes of unsymmetric laminates Journal of Composite Materials 30 5 1996 603 626 (Pubitemid 126628166)
42. Pirrera, A.; 2011. Bistable Structures for Morphing Applications Using Anisotropic Shells. Ph.D. Thesis, University of Bristol.
43. A. Pirrera, D. Avitabile, and P. Weaver Bistable plates for morphing structures: a refined analytical approach with high-order polynomials International Journal of Solids and Structures 47 25-26 2010 3412 3425
44. A. Pirrera, and P.M. Weaver Geometrically nonlinear first-order shear deformation theory for general anisotropic shells AIAA Journal 47 3 2009 767 782
45. P. Portela, P. Camanho, P. Weaver, and I. Bond Analysis of morphing, multi stable structures actuated by piezoelectric patches Computers & Structures 86 3-5 2008 347 356 (Pubitemid 351221113)
46. Portela, P.M.; Camanho, P.P.; Weaver, P.M.; Bond, I.P.; 2005. Analysis of morphing, multi stable structures actuated by piezoelectric patches. In: C.M.S. et al. (Ed.), II Eccomas Thematic Conference On Smart Structures And Materials. Lisbon, Portugal, July 18-21.
47. K.D. Potter, and P.M. Weaver A concept for the generation of out-of-plane distortion from tailored frp laminates Composites Part A: Applied Science And Manufacturing 35 12 2004 1353 1361
48. K.D. Potter, P.M. Weaver, A. Abu Seman, and S. Shah Phenomena in the bifurcation of unsymmetric composite plates Composites Part A: Applied Science And Manufacturing 38 1 2007 100 106 (Pubitemid 44803114)
49. J.N. Reddy Mechanics of Laminated Composite Plates and Shells: Theory and Analysis second ed. 2004 CRC Press Boca Raton, FL
50. L. Ren, A. Parvizi-Majidi, and Z. Li Cured shape of cross-ply composite thin shells Journal of Composite Materials 37 20 2003 1801 1820
51. L.B. Ren Theoretical study on shape control of thin cross-ply laminates using piezoelectric actuators Composite Structures 80 3 2007 451 460
52. L.B. Ren A theoretical study on shape control of arbitrary lay-up laminates using piezoelectric actuators Composite Structures 83 1 2008 110 118
53. J.L. Sanders Jr. Nonlinear theory for thin shells Quarterly of Applied Mathematics 21 1 1963 21 36
54. M. Schlecht, and K. Schulte Advanced calculation of the room-temperature shapes of unsymmetric laminates Journal of Composite Materials 33 16 1999 1472 1490 (Pubitemid 30512035)
55. M. Schlecht, K. Schulte, and M.W. Hyer A comparative study for the calculation of the temperature dependent shapes of unsymmetric laminates based on finite element analysis and extended classical lamination theory Mechanics of Composite Materials 31 3 1995 247 254 (Pubitemid 126013733)
56. Schultz, M.R.; 2005a. Investigation of self-resetting active multistable laminates. In: 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference AIAA 2005-1958 18-21 April 2005, Austin, Texas.
57. M.R. Schultz A new concept for active bistable twisting structures A.B. Flatou, Proceedings of The Society of Photo-Optical Instrumentation Engineers (Spie) Spie-Int Soc Optical Engineering vol. 5764 2005 Bellingham 241 252 (Pubitemid 41336327)
58. M.R. Schultz A concept for airfoil-like active bistable twisting structures Journal of Intelligent Material Systems and Structures 19 2 2008 157 169
59. M.R. Schultz, and M.W. Hyer Snap-through of unsymmetric cross-ply laminates using piezoceramic actuators Journal of Intelligent Material Systems and Structures 14 12 2003 795 814
60. Schultz, M.R.; Hyer, M.W.; 2004. A morphing concept based on unsymmetric composite laminates and piezoceramic mfc actuators. In: 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Palm Springs, California, April 19-22, AIAA Paper 2004-1806.
61. K.A. Seffen 'morphing' bistable orthotropic elliptical shallow shells Proceedings of the Royal Society A - Mathematical Physical and Engineering Sciences 463 2077 2007 67 83
62. Sobel, D.; 1995. Longitude (London: Fourth Estate). Walker.
63. S. Vidoli, and C. Maurini Tristability of thin orthotropic shells with uniform initial curvature Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science 464 2099 2008 2949