Have a personal or library account? Click to login
Coupled Static and Dynamic Buckling Modelling of Thin-Walled Structures in Elastic Range Review of Selected Problems Cover

Coupled Static and Dynamic Buckling Modelling of Thin-Walled Structures in Elastic Range Review of Selected Problems

Acta Mechanica et Automatica
Volume 10 (2016): Issue 2 (June 2016)
By: Zbigniew Kołakowski and  Andrzej Teter  
Open Access
|Jun 2016

References

  1. 1. Ali M.A., Sridharan S. (1988), A versatile model for interactive buckling of columns and beam-columns, International Journal of Solids and Structures, Vol. 24, 481–486.
    Search in Google Scholar
  2. 2. Ari-Gur J., Simonetta S.R. (1997), Dynamic pulse buckling of rectangular composite plates, Composites Part B, Vol. 28B, 301-308.
    Search in Google Scholar
  3. 3. Bangash M.Y.H. (2009), Shock. impact and explosion, Structural analysis and design, Springer, Verlag, New York, USA.
    Search in Google Scholar
  4. 4. Bao G., Jiang W., Roberts J.C. (1997), Analytic and finite element solutions for bending and buckling of orthotropic rectangular plates, Int J Solid Struct, Vol. 34, No. 14, 1797–1822.
    Search in Google Scholar
  5. 5. Barbero E., Tomblin J. (1993), Euler buckling of thin-walled composite columns, Thin-Walled Structures, Vol. 17, 237–258.
    Search in Google Scholar
  6. 6. Barbero E.J., Madeo A., Zagari G., Zinno R., Zucco G. (2014), Koiter asymptotic analysis of folded laminated composite plates, Composites Part B: Engineering, Vol.61, 267-274.
    Search in Google Scholar
  7. 7. Barsoum R.S., Gallagher R.H. (2009), Finite element analysis of torsional and torsional-flexural stability problems, Int. Journal for Numerical Methods in Engineering, Vol. 2, 335-352.10.1002/nme.1620020304
    Search in Google Scholar
  8. 8. Bazant Z.P., Cedolin L. (2010), Stability of Structures. Elastic. Inelastic. Fracture and Damage Theories, Oxford University Press, UK.10.1142/7828
    Search in Google Scholar
  9. 9. Becque J., Rasmusen K.J.R. (2009), Experimental investigation of local-overall interaction buckling of stainless steel lipped channel columns, J. Constructional Steel Research, Vol. 65, 1677–1684.10.1016/j.jcsr.2009.04.025
    Search in Google Scholar
  10. 10. Benito R., Sridharan S. (1985), Mode interaction in thin-walled structural members, Journal of Structural Mechanics, Vol. 12, 517-542.
    Search in Google Scholar
  11. 11. Benito R., Sridharan S. (1985). Interactive buckling analysis with finite strips, International Journal for Numerical Methods in Engineering, Vol. 21,145-161.
    Search in Google Scholar
  12. 12. Bradford M.A. (1990), Lateral-distortional buckling of tee-section beams, Thin-Walled Structures, Vol. 10, 13-30.
    Search in Google Scholar
  13. 13. Budiansky B. (1966), Dynamic buckling of elastic structures: criteria and estimates. Report SM-7, NASA CR-66072, USA.
    Search in Google Scholar
  14. 14. Budiansky B. (1966), Survey of some buckling problem. AIAA Journal, Vol. 4, 1505-1510.10.2514/3.3727
    Search in Google Scholar
  15. 15. Byskov E. (1979), Applicability of an asymptotic expansion for elastic buckling problems with mode interaction, AIAA Journal, Vol. 17, 630-633.
    Search in Google Scholar
  16. 16. Byskov E. (1988), Elastic buckling problem with infinitely many local modes, Mechanics of Structures and Machines, Vol. 15, 413-435.
    Search in Google Scholar
  17. 17. Byskov E., Hutchinson JW. (1977), Mode interaction in axially stiffened cylindrical shells, AIAA Journal, Vol.15, 941-48.
    Search in Google Scholar
  18. 18. Casciaro R., Garcea G., Attanasio G., Giordano F. (1998), Pertubative approach to elastic post-buckling analysis, International Journal of Computer & Structure, Vol. 66, 585-595.
    Search in Google Scholar
  19. 19. Chou S.M., Rhodes J. (1997), Review and compilation of experimental results on thin-walled structures. Computers & Structures, Vol. 65 No. 1, 47–67.
    Search in Google Scholar
  20. 20. Cui S., Cheong H.K., Hao H. (1999), Experimental study of dynamic buckling of plates under fluid-solid slamming. International Journal of Impact Engineering, Vol. 22, 675-691.10.1016/S0734-743X(99)00022-6
    Search in Google Scholar
  21. 21. Cui S., Hao H., Cheong H.K. (2002), Theoretical study of dynamic elastic buckling of columns subjected to intermediate velocity impact loads, International Journal of Mechanical Science, Vol. 44, 687-702.
    Search in Google Scholar
  22. 22. Debski H. (2013), Experimental investigation post-buckling behaviour of composite column with top-hat cross section, Maintenance and Reliability, Vol. 2, 105–109.
    Search in Google Scholar
  23. 23. Debski H., Kubiak T., Teter A. (2013a), Buckling and postbuckling behaviour of thin-walled composite channel section column”, Composite Structures Vol. 100, 195-204.10.1016/j.compstruct.2012.12.033
    Search in Google Scholar
  24. 24. Debski H., Kubiak T., Teter A. (2013b), Experimental investigation of channel-section composite profiles’ behaviour with various sequences of plies subjected to static compression, Thin-Walled Structures, Vol. 71, 147–154.10.1016/j.tws.2013.07.008
    Search in Google Scholar
  25. 25. Dvorkin E.N., Bathe KJ. (1984), A continuum mechanics based four-node shell element for general nonlinear analysis, Engineering Computations, Vol. 1, 77-88.
    Search in Google Scholar
  26. 26. Fafard M., Beauleu D., Dhatt C. (1987), Buckling of thin-walled members by finite elements, Computers and Structures, Vol. 25, 183-190.
    Search in Google Scholar
  27. 27. Garcea G., Madeo A., Zagari G. and Casciaro R. (2009), Asymptotic post-buckling FEM analysis using correlational formulation, International Journal of Solids and Structures, Vol. 46, 377–397.
    Search in Google Scholar
  28. 28. Garcea G., Salerno G., Casciaro R. (1999), Sanitizing of locking in Koiter perturbation analysis through mixed formulation, Computer Methods in Applied Mechanics and Engineering, Vol. 180,137-167.
    Search in Google Scholar
  29. 29. Gilat R., Aboudi J. (1995), Dynamic buckling of nonlinear resin matrix composite structures, Composite Structures, Vol. 32, 81-88.
    Search in Google Scholar
  30. 30. Goltermann P., Mollman H. (1989), Interactive buckling in thin-walled beams – II. Applications, International Journal of Solids and Structures, Vol. 25, 729-749.10.1016/0020-7683(89)90010-3
    Search in Google Scholar
  31. 31. Gupta R.K., Rao K.P. (1985), Instability of laminated composite thin-walled open-section beams, Composite Materials, Vol. 4, 299–313.
    Search in Google Scholar
  32. 32. Hancock G.J. (2003), Cold-formed steel structures, J. Constructional Steel Research, Vol. 59, 473–487.10.1016/S0143-974X(02)00103-7
    Search in Google Scholar
  33. 33. Hsu C.S. (1967), The effects of various parameters on the dynamic stability of shallow arch, Journal of Applied Mechanics, Vol. 34, 349-356.
    Search in Google Scholar
  34. 34. Hsu C.S. (1968), On dynamic stability of elastic bodies with prescribed initial conditions, International Journal of Non-Linear Mechanics, Vol. 4, 1-21.
    Search in Google Scholar
  35. 35. Hutchinson J.W., Budiansky B. (1966), Dynamic buckling estimates, AIAA Journal, Vol. 4, 525-530.
    Search in Google Scholar
  36. 36. Kappos AJ. Dynamic Loading and Design of Structures, Spon Press, Taylor & Francis Group, 2002.10.1201/9781482272000
    Search in Google Scholar
  37. 37. Kirsch U. (2004), Design-oriented Analysis of Structures, Unified Approach. Kluwer Academic Publishers, USA.
    Search in Google Scholar
  38. 38. Kleiber M., Kotula W., Saran M. (1987), Numerical analysis of dynamic quasi-bifurcation, Engineering Computations Vol. 4, 48-52.
    Search in Google Scholar
  39. 39. Koiter WT. (1976), General theory of mode interaction in stiffened plate and shell structures, WTHD Report 590, Delft.
    Search in Google Scholar
  40. 40. Koiter W.T., Pignataro M. (1974), An alternative approach to the interaction between local and overall buckling in stiffened panels, Buckling of Structures/Proceedings of IUTAM Symposium. Cambridge, 133–148.
    Search in Google Scholar
  41. 41. Kolakowski Z. (1987a), Mode interaction in thin-walled trapezoidal column under uniform compression, Thin-Walled Structures, Vol. 5, 329-342.10.1016/0263-8231(87)90024-3
    Search in Google Scholar
  42. 42. Kolakowski Z. (1987b), Mode interaction in wide plate with closed section longitudinal stiffeners under compression, Engineering Transactions, Vol. 35, 591-609.
    Search in Google Scholar
  43. 43. Kolakowski Z. (1988), Some aspects of mode interaction in thin-walled stiffened plate under uniform compression, Engineering Transactions, Vol. 36, 167-179.
    Search in Google Scholar
  44. 44. Kolakowski Z. (1989a), Interactive buckling of thin-walled beams with open and closed cross-section, Engineering Transactions, Vol. 37, 375-397.
    Search in Google Scholar
  45. 45. Kolakowski Z. (1989b), Mode interaction in wide plate with angle section longitudinal stiffeners under compression, Engineering Transactions, Vol. 37, 117-135.
    Search in Google Scholar
  46. 46. Kolakowski Z. (1989c), Some thoughts on mode interaction in thin-walled columns under uniform compression. Thin-Walled Structures, Vol. 7, 23-35.10.1016/0263-8231(89)90019-0
    Search in Google Scholar
  47. 47. Kolakowski Z. (1993a), Influence of modification of boundary conditions on load carrying capacity in thin-walled columns in the second order approximation, International Journal of Solids and Structures, Vol. 30, 2597-2609.10.1016/0020-7683(93)90101-C
    Search in Google Scholar
  48. 48. Kolakowski Z. (1993b), Interactive buckling of thin-walled beams with open and closed cross-sections, Thin-Walled Structures, Vol. 15, 159-183.10.1016/0263-8231(93)90025-6
    Search in Google Scholar
  49. 49. Kolakowski Z. (1996), Semi-analytical method for the analysis of the interactive buckling of thin-walled elastic structures in the second order approximation, International Journal of Solids and Structures, Vol. 33, 3779-3790.
    Search in Google Scholar
  50. 50. Kolakowski Z. (2007), Some aspects of dynamic interactive buckling of composite columns, Thin-Walled Structures, Vol. 45, 866–871.
    Search in Google Scholar
  51. 51. Kolakowski Z. (2009), Static and dynamic interactive buckling of composite columns, Journal of Theoretical and Applied Mechanics, Vol. 47, 177-192.
    Search in Google Scholar
  52. 52. Kolakowski Z. Mania R.J. (2013), Semi-analytical method versus the FEM for analyzing of the local post-buckling of thin-walled composite structures, Composite Structures, Vol. 97, 99–106.
    Search in Google Scholar
  53. 53. Kolakowski Z., Krolak M. (1995), Interactive elastic buckling of thin-walled closed orthotopic beam-columns, Engineering Transactions, Vol. 43, 571-590.
    Search in Google Scholar
  54. 54. Kolakowski Z., Krolak M. (2002), Modal coupled instabilities of thin-walled composite plate and shell structures, Composite Structures, Vol. 76, 303-313.
    Search in Google Scholar
  55. 55. Kolakowski Z., Krolak M., Kowal-Michalska K. (1999), Mode interactive buckling of thin-walled composite beam-columns regarding distortional deformations, International Journal of Engineering Sciences, Vol. 37, 1577-1596.
    Search in Google Scholar
  56. 56. Kolakowski Z., Kubiak T. (2005), Load-carrying capacity of thin-walled composite structures, Composite Structures, Vol. 67, 417–426.
    Search in Google Scholar
  57. 57. Kolakowski Z., Kubiak T. (2007), Interactive dynamic buckling of orthotropic thin-walled channels subjected to in-plane pulse loading, Composite Structures, Vol. 81, 222-232.
    Search in Google Scholar
  58. 58. Kolakowski Z., Teter A. (1995), Influence of local postbuckling behaviour on bending of thin-walled elastic beams with central intermediate stiffeners, Engineering Transactions, Vol. 43, No. 3, 383-396.
    Search in Google Scholar
  59. 59. Kolakowski Z., Teter A. (1995), Interactive buckling of thin-walled closed elastic column-beams with intermediate stiffeners, International Journal of Solid and Structures, Vol. 32, 1501-1516.
    Search in Google Scholar
  60. 60. Kolakowski Z., Teter A. (2000), Interactive buckling of thin–walled beam–columns with intermediate stiffeners or/and variable thickness, International Journal of Solid and Structures, Vol. 37, 3323–3344.
    Search in Google Scholar
  61. 61. Kounadis A.N., Gantes C., Simitses G. (1997), Nonlinear dynamic buckling of multi-dof structural dissipative system under impact loading, International Journal Impact Engineering, Vol. 19, 63-80.
    Search in Google Scholar
  62. 62. Krolak M., Kowal-Michalska K., Mania R.J., Swiniarski J. (2007), Experimental tests of stability and load carrying capacity of compression thin-walled multi-cell columns of triangular cross-section, Thin-Walled Structures, Vol. 45, 883–887.
    Search in Google Scholar
  63. 63. Krolak M., Mlotkowski A. (1996), Experimental analysis of post-buckling and collapse behaviour of thin-walled box-section beam, Thin-Walled Structures, Vol. 26, 287–314.
    Search in Google Scholar
  64. 64. Kubiak T. (2007), Criteria of dynamic buckling estimation of thin-walled structures, Thin-Walled Structures, Vol. 45, 888–892.
    Search in Google Scholar
  65. 65. Kubiak T. (2013), Static and dynamic buckling of thin-walled plate structures, Springer Verlag, London, UK.10.1007/978-3-319-00654-3
    Search in Google Scholar
  66. 66. Kwon Y.B., Kim B.S., Hancock G.J. (2007), Compression tests of high strength cold-formed steel channels with buckling interaction, J. Constructional Steel Research, Vol. 63, 1590–1602.10.1016/j.jcsr.2007.01.011
    Search in Google Scholar
  67. 67. Lee H.P., Harris P.J. (1979), Post-buckling strength of thin-walled members, Computers and Structures, Vol. 10, 689-702.
    Search in Google Scholar
  68. 68. Lee H.P., Harris P.J., Cheng-Tzu T.H. (1984), A nonlinear finite element computer program for thin-walled member, Thin-Walled Structures, Vol. 2, 355-376.
    Search in Google Scholar
  69. 69. Lindberg H.E. (ed.) (1987), Dynamic pulse buckling, Kluwer Academic Publishers.10.1007/978-94-009-3657-7
    Search in Google Scholar
  70. 70. Madenci E., Guven I. (2006), The finite element method and applications in engineering using ANSYS. Springer, Verlag, New York, USA.
    Search in Google Scholar
  71. 71. Magnucka-Blandzi E., Magnucki K. (2011), Buckling. and optimal design of cold-formed thin-walled beams: Review of selected problems, Thin-Walled Structures, Vol. 49, 554-561.
    Search in Google Scholar
  72. 72. Magnucka-Blandzi E., Paczos P., Wasilewicz P. (2012), Buckling study of thin-walled channel beams with double box-flanges in pure bendin, Strain, Vol. 48, No. 4, 317-325.
    Search in Google Scholar
  73. 73. Magnucki K., Paczos P., Kasprzak J. (2010), Elastic buckling of cold-formed thin-walled channel beams with drop flanges, Journal of Structural Engineering, Vol. 136, No. 7, 886-96.
    Search in Google Scholar
  74. 74. Manevich AI. (1981), Interaction of buckling modes of stiffened plate under compression, Stroitelnaya Mekhanika i Raschet Sooruzhenii, Vol.1, 24-29.
    Search in Google Scholar
  75. 75. Manevich AI. (1982), Theory of interaction buckling of stiffened thin-walled structures, Prikladnaya Matematika i Mekhanika, Vol.46, 337-345.
    Search in Google Scholar
  76. 76. Manevich AI. (1985), Stability of shells and plates with T-section stiffeners, Stroitelnaya Mekhanika i Raschet Sooruzhenii, Vol. 2, 3 4-38.
    Search in Google Scholar
  77. 77. Manevich AI. (1988), Interactive buckling of stiffened plate under compression, Mekhanika Tverdogo Tela, Vol. 5, 152-159.
    Search in Google Scholar
  78. 78. Mania R. (2005), Buckling analysis of trapezoidal composite sandwich plate subjected to in-plane compression, Composite Structures, Vol. 69, 482–490.
    Search in Google Scholar
  79. 79. Mania R., Kowal-Michalska K. (2007), Behaviour of composite columns of closed cross-section under in-plane compressive pulse loading, Thin-Walled Structures, Vol. 45, 902-905.
    Search in Google Scholar
  80. 80. Moellmann H. and Goltermann P. (1989), Interactive buckling in thin-walled beams; Part I: Theory; Part II: Applications, Inter. Journal of Solids and Structures, Vol. 25, 715–749.10.1016/0020-7683(89)90009-7
    Search in Google Scholar
  81. 81. Morris A. (2008), Practical guide to reliable finite element modelling. John Wiley&Sons Inc, USA.10.1002/9780470512111
    Search in Google Scholar
  82. 82. Niezgodzinski T., Kubiak T. (2005), The problem of stability of web sheets in box-girders of overhead cranes, Thin-Walled Structures Vol. 43, 1913-1925.
    Search in Google Scholar
  83. 83. Parlapalli M.R., Soh K.C., Shu D.W., Ma G. (2007), Experimental investigation of delamination buckling of stitched composite laminates, Composites: Part A; Vol. 38, 2024–2033.
    Search in Google Scholar
  84. 84. Petry D. and Fahlbusch G. (2000), Dynamic buckling of thin isotropic plates subjected to in-plane impact, Thin-Walled Structures Vol. 38, 267-283.
    Search in Google Scholar
  85. 85. Pignataro M., Luongo A. (1987), Asymmetric interactive buckling of thin-walled columns with initial imperfection, Thin-Walled Structures, Vol. 3, 365–386.
    Search in Google Scholar
  86. 86. Pignataro M., Luongo A. (1987), Multiple interactive buckling of thin-walled members in compression, Proceedings of the International Colloq. on Stability of Plate and Shell Structures. University Ghent, 235–240.
    Search in Google Scholar
  87. 87. Pignataro M., Luongo A., Rizzi N. (1985), On the effect of the local overall interaction on the postbuckling of uniformaly compressed channels, Thin-Walled Structures, Vol. 3, 283-321.
    Search in Google Scholar
  88. 88. Powell G., Klinger R. (1970) Elastic lateral buckling of steel beams, Journal of Structural Engineering ASCE, Vol. 96, No. 9, 1919-1932.
    Search in Google Scholar
  89. 89. Put B.M., Pi Y.L., Trahair N.S. (1999), Lateral buckling test on cold-formed channel beams, Journal of Structural Engineering ASCE, Vol. 125, No. 5, 532–539.
    Search in Google Scholar
  90. 90. Rajasekaran S., Murray D.W. (1973), Coupled local buckling in wide flange beam columns, Journal of Structural Engineering ASCE 1973;99(6):1003-23.
    Search in Google Scholar
  91. 91. Schokker A., Sridharan S., Kasagi A. (1996), Dynamic buckling of composite shells. Computers and Structures, Vol. 59, 43-55.10.1016/0045-7949(95)00244-8
    Search in Google Scholar
  92. 92. Simitses G.J. (1990), Dynamic stability of suddenly loaded structures, Springer Verlag, New York, USA.10.1007/978-1-4612-3244-5
    Search in Google Scholar
  93. 93. Simitses G.J., Hodges D.H. (2006), Fundamentals of structural stability, Butterworth-Heinemann, USA.
    Search in Google Scholar
  94. 94. Singer J., Arbocz J., Weller T. (1998), Buckling experiments. experimental methods in buckling of thin-walled structure. Basic concepts. columns. beams and plates, Vol. 1, John Wiley & Sons Inc., New York, USA.
    Search in Google Scholar
  95. 95. Singer J., Arbocz J., Weller T. (2002), Buckling experiments. experimental methods in buckling of thin-walled structure. shells built-up structures. Composites and additional topics, Vol. 2, John Wiley & Sons Inc., New York, USA.10.1002/9780470172995
    Search in Google Scholar
  96. 96. Sridharan S. (1983), Doubly symmetric interactive buckling of plate structures, International Journal of Solids and Structures, Vol. 19, 625-641.
    Search in Google Scholar
  97. 97. Sridharan S., Ali M.A. (1985), Interactive buckling in thin-walled beam-columns, Journal of Engineering Mechanics, ASCE, Vol. 111, 1470–1486.
    Search in Google Scholar
  98. 98. Sridharan S., Ali M.A. (1986), An improved interactive buckling analysis of thin-walled columns having doubly symmetric sections, International Journal of Solids and Structures, Vol. 22, 429–443.
    Search in Google Scholar
  99. 99. Sridharan S., Benito R. (1984), Columns static and dynamic interactive buckling, Journal of Engineering Mechanics, ASCE, Vol. 110, 49–65.
    Search in Google Scholar
  100. 100. Stronge W.J. (2000), Impact mechanics, Cambridge University Press, Cambridge, New York, USA.
    Search in Google Scholar
  101. 101. Tamura Y.S., Babcock C.D. (1975), Dynamic stability of cylindrical shell under step loading, Journal of Applied Mechanics, Vol. 42, 190-194.
    Search in Google Scholar
  102. 102. Teter A. (2007), Static and dynamic interactive buckling of isotropic thin–walled closed columns with variable thickness, Thin–Walled Structures, Vol. 45, 936–940.
    Search in Google Scholar
  103. 103. Teter A. (2010), Dynamic. multimode buckling of the thin-walled columns with subjected to in-plane pulse loading, Inter. J. Non-Linear Mechanics, Vol. 45, 207-218.10.1016/j.ijnonlinmec.2009.11.009
    Search in Google Scholar
  104. 104. Teter A. (2011), Dynamic critical load based on different stability criteria for coupled buckling of columns with stiffened open cross-sections, Thin-Walled Structures, Vol. 49, 589-595.
    Search in Google Scholar
  105. 105. Teter A., Kolakowski Z. (2003), Natural frequencies of thin-walled structures with central intermediate stiffeners or/and variable thickness, Thin–Walled Structures Vol. 41, 291–316.
    Search in Google Scholar
  106. 106. Teter A., Kolakowski Z. (2004), Interactive buckling and load carrying capacity of thin–walled beam–columns with intermediate stiffeners, Thin–Walled Structures, Vol. 42, 211–254.
    Search in Google Scholar
  107. 107. Teter A., Kolakowski Z. (2005), Buckling of thin-walled composite structures with intermediate stiffeners, Composite Structures Vol. 69, 421-428.
    Search in Google Scholar
  108. 108. Teter A., Kolakowski Z. (2013), Coupled dynamic buckling of thin-walled composite columns with open cross-sections, Composite Structures, Vol.95, 28–34.
    Search in Google Scholar
  109. 109. Thompson J.M.T., Hunt G.W. (1973), General Theory of Elastic Stability, Wiley, New York, USA.
    Search in Google Scholar
  110. 110. Toneff J.D., Stiemer S.F. and Osterrieder P. (1987), Local and overall buckling in thin-walled beams and columns. Journal of Structural Engineering ASCE, Vol. 113, No. 4, 769-786.
    Search in Google Scholar
  111. 111. Turvey G.J., Zhang Y. (2006), A computational and experimental analysis of the buckling. postbuckling and initial failure of pultruded GRP columns, Computers & Structures, Vol. 84, 1527–1537.10.1016/j.compstruc.2006.01.028
    Search in Google Scholar
  112. 112. Tvergaard V. (1973), Imperfections sensitivity of a wide integrally stiffened panel under compression, International Journal of Solids and Structures, Vol. 9,177-192.
    Search in Google Scholar
  113. 113. Tvergaard V. (1973), Influence of post-buckling behaviour on optimum design of stiffened panels, International Journal of Solids and Structures, Vol. 9, 1519–34.
    Search in Google Scholar
  114. 114. van der Heijden A.M.A. (ed.) (2009), WT. Koiter’s elastic stability of solids and structures, Cambridge University Press, UK.10.1017/CBO9780511546174
    Search in Google Scholar
  115. 115. Virgin L.N. (2007), Vibration of axially loaded structures, Cambridge University Press, UK.10.1017/CBO9780511619236
    Search in Google Scholar
  116. 116. Volmir S.A. (1972), Nonlinear dynamics of plates and shells, Science, Moscow, Russia.
    Search in Google Scholar
  117. 117. Warminski J., Teter A. (2012), Non-linear parametric vibrations of a composite column un-der uniform compression, Proceedings of the Institution of Mechanical Engineers. Part C: Journal of Mechanical Engineering Science, Vol. 226, 1921-1938.
    Search in Google Scholar
  118. 118. Weller T., Abramovich H., Yaffe R. (1989), Dynamic buckling of beams and plates subjected to axial impact, Composite Structures, Vol. 37, 835-851.
    Search in Google Scholar
  119. 119. White D.W., Abel J.F. (1990), Accurate and efficient nonlinear formulation of a nine-node shell element with spurious mode control, Computers and Structures, Vol. 35, 621-641.
    Search in Google Scholar
  120. 120. Wong P.M.H., Wang Y.C. (2007), An experimental study of pultruded glass fibre reinforced plastics channel columns at elevated temperatures, Computers & Structures, Vol. 81, 84–95.
    Search in Google Scholar
  121. 121. Zhang T., Liu T., Zhao Y. (2004), Nonlinear dynamic buckling of stiffened plates under in-plane impact load, Journal of Zheijang University Science, Vol. 5, 609-617.
    Search in Google Scholar
DOI: https://doi.org/10.1515/ama-2016-0023 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088
Journal RSS Feed
Language: English
Page range: 141 - 149
Submitted on: Sep 30, 2015
Accepted on: May 17, 2016
Published on: Jun 8, 2016
Published by: Bialystok University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Interaction,
Buckling,
Thin-Walled Structures,
FEM,
Analytical-Numerical Method,
Review
Related subjects:
Engineering,
Electrical engineering,
Electronics,
Mechanical engineering,
Mechanics,
Bioengineering and biomedical engineering,
Biomechanics,
Civil engineering,
Environmental engineering

© 2016 Zbigniew Kołakowski, Andrzej Teter, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Previous articleVolume 10 (2016): Issue 2 (June 2016)Next article