Semi-analytical solutions for free vibration of anisotropic laminated plates in cylindrical bending

Journal of Sound and Vibration

Volumn 304, Issue 3-5, 2007, Pages 987-995

  Lu C F ^a   Huang, Z Y ^a   Chen, W Q ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); ELASTICITY; LAMINATES; PLATES (STRUCTURAL COMPONENTS); TRANSFER MATRIX METHOD; VIBRATION MEASUREMENT;

CYLINDRICAL BENDING; LAMINATED PLATES; PAGANO'S PROBLEM; VIBRATION PROPERTIES;

VIBRATION ANALYSIS;

EID: 34248586961     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.03.023     Document Type: Article

References (19)

1. Pagano N.J. Exact solutions for composite laminates in cylindrical bending. Journal of Composite Materials 3 (1969) 398-411
2. Pagano N.J. Influence of shear coupling in cylindrical bending of anisotropic laminates. Journal of Composite Materials 4 (1970) 330-343
3. Chen W.Q., and Lee K.Y. Three-dimensional exact analysis of angle-ply laminates in cylindrical bending with interfacial damage via state-space method. Composite Structures 64 (2004) 275-283
4. Shu X.P., and Soldatos K.P. Cylindrical bending of angle-ply laminates subjected to different sets of edge boundary conditions. International Journal of Solids and Structures 37 (2000) 4289-4307
5. Messina A. Two generalized higher order theories in free vibration studies of multi-layered plates. Journal of Sound and Vibration 242 (2001) 125-150
6. Messina A., and Soldatos K.P. A general vibration model of angle-ply laminated plates that accounts for the continuity of interlaminar stresses. International Journal of Solids and Structures 39 (2002) 617-635
7. Bellman R., and Casti J. Differential quadrature and long-term integration. Journal of Mathematical Analysis and Applications 34 (1971) 235-238
8. Bellman R., Kashef B.G., and Casti J. Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations. Journal of Computational Physics 10 (1972) 40-52
9. Bert C.W., and Malik M. Differential quadrature method in computational mechanics: a review. Applied Mechanics Reviews 49 (1996) 1-28
10. Shu C. Differential Quadrature and its Application in Engineering (2000), Springer, London
11. Chen W.Q., Lv C.F., and Bian Z.G. Elasticity solution for free vibration of laminated beams. Composite Structures 62 (2003) 75-82
12. Chen W.Q., Lv C.F., and Bian Z.G. Free vibration analysis of generally laminated beams via state-space-based differential quadrature. Composite Structures 63 (2004) 417-425
13. Chen W.Q., and Lee K.Y. On free vibration of cross-ply laminates in cylindrical bending. Journal of Sound and Vibration 273 (2004) 667-676
14. Shu C., and Richards B.E. Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids 15 (1992) 791-798
15. Sherbourne A.N., and Pandey M.D. Differential quadrature method in the buckling analysis of beams and composite plates. Computers and Structures 40 (1991) 903-913
16. Nagem R.J., and Williams J.H. Dynamic analysis of large space structures using transfer matrices and joint coupling matrices. Mechanics of Structures and Machines 17 (1989) 349-371
17. Lü C.F., Lee Y.Y., Lim C.W., and Chen W.Q. Free vibration of long-span continuous rectangular Kirchoff plates with internal rigid line supports. Journal of Sound and Vibration 297 (2006) 351-364
18. Tarn J.Q. A state space formalism for anisotropic elasticity. Part I: Rectilinear anisotropy. International Journal of Solids and Structures 39 (2002) 5143-5155
19. Vinson J.R., and Sierakowski R.L. The Behavior of Structures Composed of Composite Materials (2002), Kluwer, London