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Free vibration and buckling analysis of higher order laminated composite plates using the isogeometric approach

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This research paper presents a higher order isogeometric laminated composite plate finite element formulation. The isogeometric formulation is based on NURBS (non-uniform rational B-splines) basis functions of varying degree. Plate kinematics is based on the third order shear deformation theory (TSDT) of Reddy in order to avoid shear locking. Free vibration and the buckling response of laminated composite plates are obtained and efficiency of the method is considered. Numerical results with different element order are presented and the obtained results are compared to analytical and conventional numerical results as well as existing isogeometric plate finite elements.
Rocznik
Strony
453--466
Opis fizyczny
Bibliogr. 23 poz., rys., tab.
Twórcy
autor
  • University of Belgrade, Faculty of Mechanical Engineering, Serbia
autor
  • University of Belgrade, Faculty of Mechanical Engineering, Serbia
  • University of Belgrade, Faculty of Mechanical Engineering, Serbia
autor
  • University of Belgrade, Faculty of Mechanical Engineering, Serbia
  • University of Belgrade, Faculty of Mechanical Engineering, Serbia
Bibliografia
  • 1. Bazilevs Y., Calo V.M.,Cottrell J.A., Evans J.A., Hughes T.J.R., Lipton S., Scott M.A., Sederberg T.W., Isogeometric analysis using T-splines, Computer Methods in Applied Mechanics and Engineering, 199, 229-263
  • 2. Benson D.J., Bazilevs Y., Hsu M.C., Hughes T.J.R., 2011, Isogeometric shell analysis: the Reissner-Mindlin shell, Computer Methods in Applied Mechanics and Engineering, 199, 5/8, 276-289
  • 3. Casanova C., Gallego A., 2013, NURBS-based analysis of higher-order composite shells, Composite Structures, 104, 125-133
  • 4. Cottrell J.A., Hughes T.J.R., Bazilevs Y., 2009, Isogeometric Analysis: Toward Integration of CAD and FEA, John Wiley & Sons, Chichester
  • 5. Echter R., Oesterle B., Bischoff M., 2013, A hierarchic family of isogeometric shell finite elements, Computer Methods in Applied Mechanics and Engineering, 254, 170-180
  • 6. Hughes T.J.R., Cottrell J.A., Bazilevs Y., 2005, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering, 194, 39/41, 4135-4195
  • 7. Johannessen K.A., Kvamsdal T., Dokken T., 2014, Isogeometric analysis using LR B-splines, Computer Methods in Applied Mechanics and Engineering, 269, 471-514
  • 8. Jones R.M., 1999, Mechanics of Composite Materials, 2nd ed., Taylor & Francis, Philadelphia
  • 9. Khdeir A.A, Librescu L., 1988, Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory: Part II - Buckling and free vibration, Composite Structures, 9, 4, 259-277
  • 10. Kiendl J., Bazilevs Y., Hsu M.-C., Wchner R., Bletzinger K.-U., 2010, The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches, Computer Methods in Applied Mechanics and Engineering, 199, 37/40, 2403-2416
  • 11. Kiendl J., Bletzinger K.-U., Linhard J., Wchner R., 2009, Isogeometric shell analysis with Kirchhoff–Love elements, Computer Methods in Applied Mechanics and Engineering, 198, 49/52, 3902-3914
  • 12. Liew K.M., Huang Y.Q., Reddy J.N., 2003, Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method, Computer Methods in Applied Mechanics and Engineering, 192, 2203-2222
  • 13. Nguyen-Thanh N., Kiendl J., Nguyen-Xuan H., Wchner R., Bletzinger K.U., Bazilevs Y., Rabczuk T., 2011, Rotation free isogeometric thin shell analysis using PHT-splines, Computer Methods in Applied Mechanics and Engineering, 200, 47/48, 3410-3424
  • 14. Nguyen-Van H., Mai-Duy N., Tran-Cong T., 2008, Free vibration analysis of laminated plate/shell structures based on FSDT with a stabilized nodal-integrated quadrilateral element, Journal of Sound and Vibration, 313, 1/2, 205-223
  • 15. Nosier A., Kapania R.K., Reddy J.N., 1993, Free vibration analysis of laminated plates using a layerwise theory, AIAA Journal, 31, 12, 2335-2346
  • 16. Piegl L., Tiller W., 1997, The NURBS Book, Springer-Verlag New York, New York
  • 17. Reddy J.N., 1984, A simple higher-order theory for laminated composite plates, Journal of Applied Mechanics, 51, 4, 745-752
  • 18. Reddy J.N., 2004, Mechanics of Laminated Composite Plates and Shells Theory and Anlysis, 2nd ed., CRC Press, Boca Raton
  • 19. Rogers D., 2001, An Introduction to NURBS With Historical Perspective, Morgan Kaufmann Publishers, San Francisco
  • 20. Schillinger D., Ded`e L., Scott M.A., Evans J.A., Borden M.J., Rank E., Hughes T.J.R., 2012, An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces, Computer Methods in Applied Mechanics and Engineering, 249/252, 116-150
  • 21. Shojaee S., Valizadeh N., Izadpanah E., Bui T., Vu T.-V., 2012, Free vibration and buckling analysis of laminated composite plates using the NURBS-based isogeometric finite element method, Composite Structures, 94, 5, 1677-1693
  • 22. Thai C., Ferreira A.J.M., Carrera E., Nguyen-Xuan H., 2013, Isogeometric analysis of laminated composite and sandwich plates using a layerwise deformation theory, Composite Structures, 104, 196-214
  • 23. Thai C.H., Nguyen-Xuan H., Nguyen-Xuan N., Le T-H., Nguyen-Thoi T., Rabczuk T., 2012, Static, free vibration, and buckling analysis of laminates composite Reissner-Mindlin plates using NURBS-based isogeometric approach, International Journal for Numerical Methods in Engineering, 91, 6, 571-603
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d7266624-dd44-4080-acbd-c5b5cc0de15c
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