Geometric non-linear analysis of thin flat plates under end shortening, using different versions of the finite strip method

作者: H.R. Ovesy , J. Loughlan , S.A.M. GhannadPour

DOI: 10.1016/J.IJMECSCI.2005.07.008

关键词: Finite strip methodCompatibility (mechanics)MathematicsExtended finite element methodNonlinear systemFinite element methodMixed finite element methodGeneral purposePotential energyGeometry

摘要: Two finite strip methods are developed for predicting the geometrically non-linear response of rectangular thin plates with simply supported ends when subjected to uniform end shortening in their plane. Although formulations both based on concept principle minimum potential energy, first method utilizes a semi-energy strip, whereas second (which is designated by name full-energy method) all displacements postulated appropriate shape functions. It noted that approach, out-of-plane displacement only which deflected form while von Karman's compatibility equation solved obtain corresponding in-plane forms. The then applied analyze post-local-buckling behavior some representative flat results also obtained through application element method, employing general purpose MSC/NASTRAN package. Through comparison and discussion, knowledge level capability different versions significantly promoted.

参考文章(13)
D. J. Dawe, S. Wang, Postbuckling analysis of thin rectangular laminated plates by spline FSM Thin-walled Structures. ,vol. 30, pp. 159- 179 ,(1998)
P. S. Bulson, Howard G. Allen, Background to buckling McGraw-Hill Book Co.,. ,(1980)
A. L. Yettram, SAM '88 : stress analysis and the micro Institute of Physics. ,(1988)
J. Kong, Y.K. Cheung, A generalized spline finite strip for the analysis of plates Thin-walled Structures. ,vol. 22, pp. 181- 202 ,(1995) , 10.1016/0263-8231(94)00035-X
T.R. Graves Smith, S. Sridharan, A finite strip method for the post-locally-buckled analysis of plate structures International Journal of Mechanical Sciences. ,vol. 20, pp. 833- 842 ,(1978) , 10.1016/0020-7403(78)90009-7
W.H. Wittrick, F.W. Williams, Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings International Journal of Mechanical Sciences. ,vol. 16, pp. 209- 239 ,(1974) , 10.1016/0020-7403(74)90069-1
H.R. Ovesy, J. Loughlan, H. Assaee, The compressive post-local bucking behaviour of thin plates using a semi-energy finite strip approach Thin-walled Structures. ,vol. 42, pp. 449- 474 ,(2004) , 10.1016/S0263-8231(03)00106-X
D. J. Dawe, S. S. E. Lam, Z. G. Azizian, Non-linear finite strip analysis of rectangular laminates under end shortening, using classical plate theory International Journal for Numerical Methods in Engineering. ,vol. 35, pp. 1087- 1110 ,(1992) , 10.1002/NME.1620350510
S.M. Chou, J. Rhodes, Review and compilation of experimental results on thin-walled structures Computers & Structures. ,vol. 65, pp. 47- 67 ,(1997) , 10.1016/S0045-7949(96)00337-9
FREDERICK STOLL, Geometrically nonlinear analysis of stiffened composite panels with various end-support conditions 34th Structures, Structural Dynamics and Materials Conference. pp. 2699- 2709 ,(1993) , 10.2514/6.1993-1615