Analysis of secondary buckling and secondary bifurcation point for compositelaminated plates
  Revised:April 04, 2000
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DOI:10.7511/jslx20021010
KeyWord:composite,laminated plates,buckling,bifurcation
Chen Xiao  Dai Shiliang 1  Xu Ke 2
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Abstract:
      In order to study the secondary bifurcation of composite laminated plates, the nonlinear governing equations of composite laminated plates with edges elastically supported against rotation are established by using energy variational principle and nonlinear geometric equations. The governing equations are solved by means of a generalized Fourier series method, and subsequently the corresponding load deflection curves are obtained. The secondary critical equations of composite laminated plates are deduced directly through small perturbation method, which is based on Lerray Schaulder principle of the bifurcation theoretics. The investigation results show that bifurcation may also exist in unsymmetrical laminated plates, and the elastic coefficients and stacking sequence have a great influence on the secondary bifurcation. The ratio of the secondary buckling load to the first buckling load drops with increasing the elastic coefficients.