Buckling analysis of laminated plate structures with elastic edges using a novel semi-analytical finite strip method

Abstract A novel semi-analytical finite strip method is presented for buckling analysis of composite plate structures with boundary edges elastically supported. A set of unique Fourier series functions is introduced to represent the longitudinal variation of deflection along a strip, and they are capable of handling elastic edges with translational and rotational spring supports. The proposed hybrid method overcomes limitation of classical finite strip method only capable of handling simple end boundary conditions of structures, and it avoids the ill-conditioning when a set of standard Fourier series functions is used for buckling analysis. Accuracy and validity of the proposed method are demonstrated by the convergence and comparative studies in comparison with the numerical finite element method. As an example, the present method is applied to buckling analysis of a composite Z-stiffened panel under pure shear, and its capability and efficiency of treating different edge conditions in the panel skin and stiffeners are illustrated.

[1]  H. Ovesy,et al.  Post-buckling of thick symmetric laminated plates under end-shortening and normal pressure using semi-energy finite strip method , 2011 .

[2]  Y. K. Cheung,et al.  FINITE STRIP METHOD IN STRUCTURAL ANALYSIS , 1976 .

[3]  Gregory J. Hancock,et al.  Shear buckling of channel sections with simply supported ends using the Semi-Analytical Finite Strip Method , 2013 .

[5]  Hamid Reza Ovesy,et al.  Dynamic buckling analysis of delaminated composite plates using semi-analytical finite strip method , 2015 .

[6]  Gregory J. Hancock,et al.  Buckling analysis of thin-walled sections under localised loading using the semi-analytical finite strip method , 2015 .

[7]  Pizhong Qiao,et al.  Shear buckling of rotationally-restrained composite laminated plates , 2015 .

[8]  J Bruneau,et al.  THE FINITE STRIP METHOD , 1976 .

[9]  H. Ovesy,et al.  The effect of anisotropy on post-buckling behavior of laminated plates using semi-energy finite strip method , 2012 .

[10]  E. Barbero Introduction to Composite Materials Design , 1998 .

[11]  Hamid Reza Ovesy,et al.  Buckling analysis of functionally graded plates under thermal loadings using the finite strip method , 2012 .

[12]  Pizhong Qiao,et al.  Post-buckling analysis of composite plates under combined compression and shear loading using finite strip method , 2014 .

[13]  D. J. Dawe,et al.  Use of the finite strip method in predicting the behaviour of composite laminated structures , 2002 .

[14]  Lorenzo Dozio,et al.  On the use of the Trigonometric Ritz method for general vibration analysis of rectangular Kirchhoff plates , 2011 .

[15]  Alain Berry,et al.  VIBRATION OF STIFFENED PLATES USING HIERARCHICAL TRIGONOMETRIC FUNCTIONS , 2000 .

[16]  Lorenzo Dozio,et al.  Free in-plane vibration analysis of rectangular plates with arbitrary elastic boundaries , 2010 .

[17]  Hamid Reza Ovesy,et al.  Geometric non-linear analysis of imperfect composite laminated plates, under end shortening and pressure loading, using finite strip method , 2006 .

[18]  D. J. Dawe,et al.  Non-linear analysis of rectangular laminates under end shortening, using shear deformation plate theory , 1993 .

[19]  W. J. Stroud,et al.  Buckling loads of stiffened panels subjected to combined longitudinal compression and shear: Results obtained with PASCO, EAL, and STAGS computer programs , 1984 .

[20]  Hamid Reza Ovesy,et al.  Buckling and post-buckling behaviour of moderately thick plates using an exact finite strip , 2015 .

[21]  D. J. Dawe,et al.  Non-linear finite strip analysis of rectangular laminates under end shortening, using classical plate theory , 1992 .

[22]  Hossein Amoushahi,et al.  Buckling of composite FRP structural plates using the complex finite strip method , 2009 .

[23]  Jingtao Du,et al.  An exact series solution for the transverse vibration of rectangular plates with general elastic boundary supports , 2009 .

[24]  Mojtaba Azhari,et al.  Nonlocal vibration and buckling analysis of single and multi-layered graphene sheets using finite strip method including van der Waals effects , 2014 .

[25]  H. Ovesy,et al.  Buckling and free vibration finite strip analysis of composite plates with cutout based on two different modeling approaches , 2012 .

[26]  Dragan D. Milašinović Geometric non-linear analysis of thin plate structures using the harmonic coupled finite strip method , 2011 .

[27]  L. Dozio In-plane free vibrations of single-layer and symmetrically laminated rectangular composite plates , 2011 .

[28]  Jean Nicolas,et al.  A HIERARCHICAL FUNCTIONS SET FOR PREDICTING VERY HIGH ORDER PLATE BENDING MODES WITH ANY BOUNDARY CONDITIONS , 1997 .