Vibration analysis of corrugated Reissner-Mindlin plates using a mesh-free Galerkin method

International Journal of Mechanical Sciences

Volumn 51, Issue 9-10, 2009, Pages 642-652

  Liew, K M ^a   Peng, L X ^b   Kitipornchai, S ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b GUANGXI UNIVERSITY   (China)

Author keywords

Corrugated plate; Equivalent properties; Free vibration; Mesh free galerkin method; Meshless

Indexed keywords

CORRUGATED PLATE; EQUIVALENT PROPERTIES; FREE VIBRATION; MESH-FREE GALERKIN METHOD; MESHLESS;

COMPUTATIONAL MECHANICS; CONVERGENCE OF NUMERICAL METHODS; GALERKIN METHODS; PLATES (STRUCTURAL COMPONENTS); STIFFNESS MATRIX; STRUCTURE (COMPOSITION); VIBRATION ANALYSIS;

FINITE ELEMENT METHOD;

EID: 70349466664     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2009.06.005     Document Type: Article

References (30)

1. Seydel EB. Schubknickversuche mit Wellblechtafeln, Jahrbuch d. Deutsch. Versuchsanstallt für Luftfahrt, E. V. München und Berlin, 1931. p. 233-5.
2. Easley J.T., and McFarland D.E. Buckling of light-gage corrugated metal shear diaphragms. Journal of the Structural Division, Proceedings of the ASCE 95 (1969) 1497-1516
3. Nilson A.H., and Ammar A.R. Finite element analysis of metal deck shear diaphragms. Journal of the Structural Division-ASCE 100 NST4 (1974) 711-726
4. Easley J.T. Buckling formulas for corrugated metal shear diaphragms. Journal of the Structural Division-ASCE 101 7 (1975) 1403-1417
5. Davies J.M. Calculation of steel diaphragm behavior. Journal of the Structural Division 102 (1976) 1411-1430
6. Lau J.H. Stiffness of corrugated plate. Journal of the Engineering Mechanics Division-ASCE 107 1 (1981) 271-275
7. Briassoulis D. Equivalent orthotropic properties of corrugated sheets. Computers and Structures 23 2 (1986) 129-138
8. Shimansky R.A., and Lele M.M. Transverse stiffness of a sinusoidally corrugated plate. Mechanics of Structures and Machines 23 3 (1995) 439-451
9. Luo R., and Edlund B. Shear capacity of plate girders with trapezoidally corrugated webs. Thin-Walled Structures 26 1 (1996) 19-44
10. Samanta A., and Mukhopadhyay M. Finite element static and dynamic analyses of folded plates. Engineering Structures 21 (1999) 277-287
11. Semenyuk N.P., and Neskhodovskaya N.A. On design models in stability problems for corrugated cylindrical shells. International Applied Mechanics 38 10 (2002) 1245-1252
12. Machimdamrong C., Watanabe E., and Utsunomiya T. Shear buckling of corrugated plates with edges elastically restrained against rotation. International Journal of Structural Stability and Dynamics 4 1 (2004) 89-104
13. Xiang Y., Wang C.M., and Kitipornchai S. Exact vibration solution for initially stressed Mindlin plates on Pasternak foundations. International Journal of Mechanical Sciences 36 4 (1994) 311-316
14. Chen C.C., Liew K.M., Lim C.W., and Kitipornchai S. Vibration analysis of symmetrically laminated thick rectangular plates using the higher-order theory and p-Ritz method. Journal of the Acoustical Society of America 102 3 (1997) 1600-1611
15. Liew K.M. Solving the free vibration of thick symmetric laminates by Reissner/Mindlin plate theory and the p-Ritz method. Journal of Sound and Vibration 1989 3 (1996) 343-360
16. Liew K.M., Han J.B., and Xiao Z.M. Vibration analysis of circular Mindlin plates using differential quadrature method. Journal of Sound and Vibration 205 5 (1997) 617-630
17. Liew K.M., and Teo T.M. Three-dimensional vibration analysis of rectangular plates based on differential quadrature method. Journal of Sound and Vibration 220 4 (1999) 577-599
18. Liew K.M., Teo T.M., and Han J.B. Comparative accuracy of DQ and HDQ methods for three-dimensional vibration analysis of rectangular plates. International Journal for Numerical Methods in Engineering 45 12 (1999) 1831-1848
19. Lucy L.B. A numerical approach to the testing of the fission hypothesis. Astronomical Journal 82 (1977) 1013-1024
20. Belytschko T., Lu Y.Y., and Gu L. Element-free Galerkin methods. International Journal for Numerical Methods in Engineering 37 (1994) 229-256
21. Ren J., Liew K.M., and Meguid S.A. Modelling and simulation of the superelastic behaviour of shape memory alloys using the element-free Galerkin method. International Journal of Mechanical Sciences 44 12 (2002) 2393-2413
22. Wang J., Liew K.M., Tan M.J., and Rajendran S. Analysis of rectangular laminated composite plates via FSDT meshless method. International Journal of Mechanical Sciences 44 (2002) 1275-1293
23. Liew K.M., Lim H.K., Tan M.J., and He X.Q. Analysis of laminated composite beams and plates with piezoelectric patches using the element-free Galerkin method. Computational Mechanics 29 6 (2002) 486-497
24. Liew K.M., Peng L.X., and Kitipornchai S. Buckling analysis of corrugated plates using a mesh-free Galerkin method based on the first-order shear deformation theory. Computational Mechanics 38 1 (2005) 61-75
25. Liew K.M., Wu H.Y., and Ng T.Y. Meshless method for modeling of human proximal femur: treatment of nonconvex boundaries and stress analysis. Computational Mechanics 28 5 (2002) 390-400
26. Liew K.M., Wu Y.C., Zou G.P., and Ng T.Y. Elasto-plasticity revisited: numerical analysis via reproducing kernel particle method and parametric quadratic programming. International Journal for Numerical Methods in Engineering 55 6 (2002) 669-683
27. Liew K.M., Ng T.Y., Zhao X., and Reddy J.N. Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells. Computer Methods in Applied Mechanics and Engineering 191 35 (2002) 3811-3832
28. Liew K.M., Huang Y.Q., and Reddy J.N. Moving least square differential quadrature method and its application to the analysis of shear deformable plates. International Journal for Numerical Methods in Engineering 56 15 (2003) 2331-2351
29. Liew K.M., Huang Y.Q., and Reddy J.N. 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 19 (2003) 2203-2222
30. Reddy J.N. Theory and analysis of elastic plates (1999), London, Taylor & Francis