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Some aspects of dynamic coupled response of functionally graded thin-walled columns with square cross-sections under in-plane pulse compression

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Języki publikacji
EN
Abstrakty
EN
The present paper deals with a dynamic coupled response of functionally graded columns with a quadratic cross-section subjected to an in-plane pulse loading. An Al-TiC metal- -ceramic material is applied. It is assumed that functionally graded materials (FGMs) are subject to Hooke’s law. The thin-walled structures are simply supported at the ends. This study is devoted to the stability problem of rectangular dynamic pulse load. The effects of temperature, wave propagation and damping are neglected. In order to obtain the equations of motion of individual plates, the classic laminate plate theory (CLPT) has been modified in such a way that it additionally accounts for all components of inertial forces. A plate model is adopted for the structures. The problem of an interaction of the global mode with the local ones is concerned (i.e., a three-modes approach). Attention has been focused on some unexpected aspects related to dynamic interactive buckling of columns having two axes of the cross-section symmetry. In the present study, a new approach to the description of this phenomenon, based on Koiter’s theory, has been applied.
Rocznik
Strony
449--462
Opis fizyczny
Bibliogr. 33 poz., rys., tab.
Twórcy
  • Lodz University of Technology, Department of Strength of Materials, Łódź, Poland
autor
  • Lublin University of Technology, Department of Applied Mechanics, Lublin, Poland
Bibliografia
  • 1. Ari-Gur J., Simonetta S.R., 1979, Dynamic pulse buckling of rectangular composite plates, Composites Part B, 28B, 301-308
  • 2. Birman V., Byrd L.W., 2007, Modeling and analysis of functionally materials and structures, Applied Mechanics Review, 60, 195-216
  • 3. Budiansky B., Hutchinson J.W., 1966, Dynamic buckling of imperfection-sensitive structures, Proceedings of the 11th International Congress of Applied Mechanics, Goetler H. (Ed.), Munich, 636-651
  • 4. Byskov E., Hutchinson J.W., 1977, Mode interaction in axially stiffened cylindrical shells, AIAA Journal, 15, 7, 941-948
  • 5. Hui-Shen S., 2009, Functionally Graded Materials – Nonlinear Analysis of Plates and Shells, CRC Press, Taylor & Francis, London
  • 6. Jones R.M., 1999, Mechanics of Composite Materials, 2nd ed. Taylor & Francis, London
  • 7. Kołakowski Z., 1996, A semi-analytical method for the analysis of the interactive buckling of thin-walled elastic structures in the second order approximation, International Journal of Solids Structures, 33, 25, 3779-3790
  • 8. Kołakowski Z., 2016, Some aspects of interactive dynamic stability of thin-walled trapezoidal FGM beam-columns under axial load, Thin-Walled Structures, 98, 431-442
  • 9. Kołakowski Z., Królak M., 2006, Modal coupled instabilities of thin-walled composite plate and shell structures, Composite Structures, 76, 303-313
  • 10. Kołakowski Z., Królak M., Kowal-Michalska K., 1999, Modal interactive buckling of thin- -walled composite beam-columns regarding distortional deformations, International Journal of Engineering Science, 37, 1577-1596
  • 11. Kołakowski Z., Kubiak T., 2005, Load-carrying capacity of thin-walled composite structures, Composite Structures, 67, 417-426
  • 12. Kołakowski Z., Mania J.R., 2013, Semi-analytical method versus the FEM for analysis of the local post-buckling, Composite Structures, 97, 99-106
  • 13. Kołakowski Z., Mania J.R., 2015, Dynamic response of thin FG plates with a static unsymmetrical stable postbuckling path, Thin-Walled Structures, 86, 10-17
  • 14. Kołakowski Z., Mania R.J., Grudziecki J., 2015, Local nonsymmetric postbuckling equilibrium path in thin FGM plate, Eksploatacja i Niezawodność (Maintenance and Reliability), 17, 135-142
  • 15. Kubiak T., 2007, Criteria of dynamic buckling estimation of thin-walled structures, Thin-Walled Structures, 45, 10/11, 888-892
  • 16. Kubiak T., 2013, Static and Dynamic Buckling of Thin-Walled Plate Structures, Springer
  • 17. Na K.S., Kim J.H., 2009, Volume fraction optimization of functionally graded composite panels for stress reduction and critical temperature, Finite Elements in Analysis and Design, 45, 845-851
  • 18. Nayfeh A.H., Mook D.T., 1979, Nonlinear Oscilations, Wiley, New York
  • 19. Panda S., Ray M.C., 2008, Nonlinear finite element analysis of functionally graded plates integrated with patches of piezoelectric fiber reinforced composite, Finite Elements in Analysis and Design, 44, 493-504
  • 20. Petry D., Fahlbusch G., 2000, Dynamic buckling of thin isotropic plates subjected to in-plane impact, Thin-Walled Structures, 38, 267-283
  • 21. Reddy J.N., 2000, Analysis of functionally graded plates, International Journal for Numerical Methods in Engineering, 47, 663-684
  • 22. Reddy J.N., 2004, Mechanics of Laminated Composite Plates and Shells, CRC Press, London
  • 23. Samsam Shariata B.A., Javaherib R.B.A., Eslami B.A., 2005, Buckling of imperfect functionally graded plates under in-plane compressive loading, Thin-Walled Structures, 43, 1020-1036
  • 24. Schokker A., Sridharan S., Kasagi A., 1996, Dynamic buckling of composite shells, Computers and Structures, 59, 1, 43-55
  • 25. Sridharan S., Benito R., 1984, Columns: static and dynamic interactive buckling, Journal of Engineering Mechanics ASCE, 110, 1, 49-65
  • 26. Teter A., 2007, Static and dynamic interactive buckling of isotropic thin-walled closed columns with variable thickness, Thin-Walled Structures, 45, 10/11, 936-940
  • 27. Teter A., 2011, Dynamic critical load based on different stability criteria for coupled buckling of columns with stiffened open cross-sections, Thin-Walled Structures, 49, 589-595
  • 28. Teter A., Kołakowski Z., 2001, Lower bound estimation of load-carrying capacity of thin-walled structures with intermediate stiffeners, Thin-Walled Structures, 39, 8, 649-669
  • 29. Teter A., Kołakowski Z., 2003, Natural frequencies of thin-walled structures with central intermediate stiffeners or/and variable thickness, Thin-Walled Structures, 41, 291-316
  • 30. Teter A., Kołakowski Z., 2004, Interactive buckling and load carrying capacity of thin-walled beam-columns with intermediate stiffeners, Thin-Walled Structures, 42, 211-254
  • 31. Teter A., Kołakowski Z., 2005, Buckling of thin-walled composite structures with intermediate stiffeners, Composite Structures, 69, 4, 421-428
  • 32. Van der Heijden A.M.A. (ed.), 2009, WT Koiter’s Elastic Stability of Solids and Structures, Cambridge University Press
  • 33. Warmiński J., Teter A., 2012, Non-linear parametric vibrations of a composite column under uniform compression, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 226, 8, 1921-1938
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d45885ac-77a1-492c-ad1e-ef8a214c127f
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