Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Buckling of rectangular plates with mixed edge supports

  • Xiang, Y. (Centre for Construction Technology and Research, University of Western Sydney) ;
  • Su, G.H. (Centre for Construction Technology and Research, University of Western Sydney)
  • Received : 2000.08.29
  • Accepted : 2002.08.26
  • Published : 2002.10.25
⟨ Previous Next ⟩

Abstract

This paper presents a domain decomposition method for buckling analysis of rectangular Kirchhoff plates subjected to uniaxial inplane load and with mixed edge support conditions. A plate is decomposed into two rectangular subdomains along the change of the discontinuous support conditions. The automated Ritz method is employed to derive the governing eigenvalue equation for the plate system. Compatibility conditions are imposed for transverse displacement and slope along the interface of the two subdomains by modifying the Ritz trial functions. The resulting Ritz function ensures that the transverse displacement and slope are continuous along the entire interface of the two subdomains. The validity and accuracy of the proposed method are verified with convergence and comparison studies. Buckling results are presented for several selected rectangular plates with various combination of mixed edge support conditions.

Keywords

References

  1. Bartlett, C.C. (1963), "The vibration and buckling of a circular plate clamped on part of its boundary and simply supported on the remainder", Quart. J. Mech. & Appl. Math. 16, 431-440. https://doi.org/10.1093/qjmam/16.4.431
  2. Bulson, P.S. (1970), The Stability of Flat Plates. Chatto and Windus, London, U.K.
  3. Column Research Committee of Japan. (1971), Handbook of Structural Stability. Corona, Tokyo, Japan.
  4. Hamada, H., Inoue, Y. and Hashimoto, H. (1967), "Buckling of simply supported but partially clamped rectangular plates uniformly compressed in one direction", Bulletin of Japan Society of Mechanical Engineers 10, 35-40. https://doi.org/10.1299/jsme1958.10.35
  5. Karamanlidis, D. and Prakash, V. (1989), "Buckling and vibrations of shear-flexible orthotropic plates subjected to mixed boundary conditions", Thin-Walled Structures, 8, 273-293. https://doi.org/10.1016/0263-8231(89)90034-7
  6. Keer, L.M. and Stahl, B. (1972), "Eigenvalue problems of rectangular plates with mixed edge conditions", J. Appl. Mech., 39, 513-520. https://doi.org/10.1115/1.3422709
  7. Liew, K.M., Wang, C.M., Xiang, Y. and Kitipornchai, S. (1998), Vibration of Mindlin Plates -- Programming the p-Version Ritz Method. Elsevier Science Ltd, Amsterdam, The Netherlands.
  8. Lim, C.W. and Liew, K.M. (1993), "Effects of boundary constraints and thickness variations on the vibratory response of rectangular plates", Thin-Walled Structures, 17, 133-159. https://doi.org/10.1016/0263-8231(93)90031-5
  9. Mizusawa, T. and Leonard, J.W. (1990), "Vibration and buckling of plates with mixed boundary conditions", Eng. Struct., 12, 285-290. https://doi.org/10.1016/0141-0296(90)90028-Q
  10. Reddy, J.N. and Phan, N.D. (1985), "Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory", J. Sound Vib., 98, 157-170. https://doi.org/10.1016/0022-460X(85)90383-9
  11. Sakiyama, T. and Matsuda, H. (1987), "Elastic buckling of rectangular Mindlin plates with mixed boundary conditions", Computers and Structures., 25, 801-808. https://doi.org/10.1016/0045-7949(87)90172-6
  12. Xiang, Y., Wang, C.M. and Kitipornchai, S. (1995), "Shear buckling of skew Mindlin plates", AIAA J., 33, 377- 378. https://doi.org/10.2514/3.12364
  13. Xiang, Y., Wang, C.M. and Kitipornchai, S. (1996), "Optimal location of point supports in plates for maximum fundamental frequency", Structural Optimization, 11, 171-177.

Cited by

  1. Free vibration and buckling analyses of shear-deformable plates based on FSDT meshfree method vol.276, pp.3-5, 2004, https://doi.org/10.1016/j.jsv.2003.08.026
  2. A non-discrete approach for analysis of plates with multiple subdomains vol.24, pp.5, 2002, https://doi.org/10.1016/S0141-0296(02)00008-1
  3. Buckling analysis of Reissner–Mindlin plates subjected to in-plane edge loads using a shear-locking-free and meshfree method vol.35, pp.9, 2011, https://doi.org/10.1016/j.enganabound.2011.04.001
  4. MECHANICAL VIBRATION AND BUCKLING ANALYSIS OF FGM PLATES AND SHELLS USING A FOUR-NODE QUASI-CONFORMING SHELL ELEMENT vol.08, pp.02, 2008, https://doi.org/10.1142/S0219455408002624