Buckling and vibrations of unsymmetric laminates resting on elastic foundations under inplane and shear forces

Abstract Buckling loads, free vibrations and vibrations with initial inplane stresses for moderately thick, simply supported rectangular laminates resting on elastic foundations such as the Pasternak type, are examined in this paper. The analysis is carried out considering unsymmetric flat laminates subjected to biaxial compression and shear loads. First-order shear deformation theory, in conjunction with the Rayleigh-Ritz method is used for the evaluation of buckling loads and vibrations by means of a standard eigenvalue procedure. A large numerical investigation is intended to demonstrate the influence of laminate parameters (fiber orientations, degree of anisotropy, number of layers) and foundation parameters (modulus of subgrade reaction and shear modulus); the results obtained are reported and discussed in the paper.

[1]  M. Aiello,et al.  Maximum buckling loads for unsymmetric thin hybrid laminates under in-plane and shear forces , 1996 .

[2]  D. Dawe,et al.  The vibration and stability of symmetrically-laminated composite rectangular plates subjected to in-plane stresses , 1986 .

[3]  A. Rao,et al.  Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates , 1970 .

[4]  Liviu Librescu,et al.  Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory. II - Buckling and free vibration , 1988 .

[5]  Yang Xiang,et al.  Buckling and Vibration of Thick Laminates on Pasternak Foundations , 1996 .

[6]  Ahmed A. Khdeir,et al.  Comparison between shear deformable and Kirchhoff theories for bending, buckling and vibration of antisymmetric angle-ply laminated plates , 1989 .

[7]  Ahmed K. Noor,et al.  Stress and free vibration analyses of multilayered composite plates , 1989 .

[8]  G. J. Turvey.  Uniformly loaded, simply supported, antisymmetrically laminated, rectangular plate on a winkler-pasternak foundation , 1977 .

[9]  Hui-Shen Shen.  Postbuckling of Orthotropic Plates on Two-Parameter Elastic Foundation , 1995 .

[10]  Rhys Jones,et al.  The Vlasov foundation model , 1977 .

[11]  Arthur W. Leissa,et al.  Advances in Vibration, Buckling and Postbuckling Studies on Composite Plates , 1981 .

[12]  S. Durvasula,et al.  Vibration and buckling of hybrid laminated curved panels , 1992 .

[13]  Robert M. Jones.  Buckling and Vibration of Unsymmetrically Laminated Cross-Ply Rectangular Plates , 1973 .

[14]  A. Leissa.  Conditions for laminated plates to remain flat under inplane loading , 1986 .