Large amplitude free flexural vibrations of laminated composite skew plates

International Journal of Non-Linear Mechanics

Volumn 39, Issue 10, 2004, Pages 1709-1720

  Singha, Maloy K ^a   Ganapathi, M ^a  

^a General Electric Company India   (India)

Author keywords

Amplitude; Composite skew plate; Finite element; Frequency ratio; Non linear vibration

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; GALERKIN METHODS; PROBLEM SOLVING; VIBRATION MEASUREMENT;

AMPLITUDE; COMPOSITE SKEW PLATES; FINITE ELEMENTS; FREQUENCY RATIOS; NON-LINEAR VIBRATIONS;

NONLINEAR SYSTEMS;

EID: 3242705953     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2004.04.003     Document Type: Article

References (33)

1. Leissa A.W. Plate vibration research, 1976-1980. classical theory Shock Vib. Digest. 13:1981;11-22.
2. Leissa A.W. Plate vibration research, 1976-1980. complicating factors Shock Vib. Digest. 13:1981;19-36.
3. Bert C.W. Research on dynamic behavior of composite and sandwich plates - IV. Shock Vib. Digest. 17:1985;3-15.
4. Sathyamoorthy M. Nonlinear vibration analysis of plates. a review and survey of current developments, ASME Appl. Mech. Rev. 40:1987;1553-1561.
5. Chia C.Y. Geometrically nonlinear behavior of composite plates. a review, ASME Appl. Mech. Rev. 41:1988;439-451.
6. Kapania R.K., Raciti S. Recent advances in analysis of laminated beams and plates, Part II. vibration and wave propagation Am. Inst. Aeronaut. Astronaut. J. 27:1989;935-946.
7. D.H. Middleton (Ed.), Composite Materials in Aircraft Structures, Longman Scientific & Technical, New York, 1990.
8. Iyengar N.G.R., Umaretiya J.R. Transverse vibrations of hybrid laminated plates. J. Sound Vib. 104:1986;425-435.
9. Malhotra S.K., Ganesan N., Veluswami M.A. Effect of fibre orientation and boundary conditions on the vibration behaviors of orthotropic rhombic plates. Composites. 19:1988;127-132.
10. Krishnan A., Deshpande J.V. Vibration of skew laminates. J. Sound Vib. 153:1992;351-358.
11. Kapania R.K., Singhvi S. Free vibration analysis of generally laminated tapered skew plates. Compos. Eng. 2:1992;197-212.
12. Anlas G., Goker G. Vibration analysis of skew fiber-reinforced composite laminated plates. J. Sound Vib. 242:2001;265-276.
13. Wang S. Vibration of thin skew fiber reinforced composite laminates. J. Sound Vib. 201:1997;335-352.
14. Han W., Dickinson S.M. Free vibration of symmetrically laminated skew plates. J. Sound Vib. 208:1997;367-390.
15. Hosokawa K., Terada Y., Sakata T. Free vibration of clamped symmetrically laminated skew plates. J. Sound Vib. 189:1996;525-533.
16. Reddy A.R.K., Palaninathan R. Free vibration of skew laminates. Comput. Struct. 70:1999;415-423.
17. Makhecha D.P., Patel B.P., Ganapathi M. Transient dynamics of thick skew sandwich laminates under thermal/mechanical loads. J. Reinf. Plast. Comp. 20:2001;1524-1545.
18. Wang C.M., Ang K.K., Yang L., Watanabe E. Free vibration of skew sandwich plates with laminated facings. J. Sound Vib. 235:2000;317-340.
19. Nowinski J.L. Large amplitude oscillations of oblique panels with initial curvature. Am. Inst. Aeronaut. Astronaut. J. 2:1964;1025-1031.
20. Ray A.K., Banerjee B., Bhattacharjee B. Large amplitude free vibrations of skew plates including transverse shear deformation and rotary inertia - a new approach. J. Sound Vib. 180:1995;669-681.
21. Sathyamoothy M., Pandalai K.A.V. Nonlinear flexural vibration of orthotropic skew plates. J. Sound Vib. 24:1972;115-120.
22. Prathap G., Varadan T.K. Non-linear flexural vibration of anisotropic skew plate. J. Sound Vib. 63:1979;315-323.
23. Sathyamoorthy M., Chia C.Y. Effects of shear and rotary inertia on large amplitude vibrations of anisotropic skew plates, Parts I and II, ASME. J. Appl. Mech. 47:1980;128-138.
24. Han W., Petyt M. Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method - II. 1st mode of laminated plates and higher modes of isotropic and laminated plates Comput. Struct. 63:1997;309-318.
25. Patel B.P., Ganapathi M., Makecha D.P., Shah P. Large amplitude free flexural vibration of rings using finite element approach. Int. J. Non-Linear Mech. 38:2003;911-921.
26. Singha M.K., Ramachandra L.S., Bandyopadhyay J.N. Thermal postbuckling analysis of laminated composite plates. Compos. Struct. 54:2001;453-458.
27. Singha M.K., Ramachandra L.S., Bandyopadhyay J.N. Stability and strength of composite skew plates under thermomechanical loads. Am. Inst. Aeronaut. Astronaut. J. 39:2001;1618-1623.
28. Bergan P.G., Clough R.W. Convergence criteria of iteration process. Am. Inst. Aeronaut. Astronaut. J. 10:1972;1107-1108.
29. Liao C.L., Lee Z.Y. Elastic stability of skew laminated composite plates subjected to biaxial follower forces. Int. J. Numer. Meth. Eng. 36:1993;1825-1847.
30. Jones R.M. Mechanics of Composite Materials. 1975;McGraw-Hill, New York.
31. Ganapathi M., Varadan T.K., Sarma B.S. Nonlinear flexural vibrations of laminated orthotropic plates. Comput. Struct. 39:1991;685-688.
32. Chu H.N., Herrmann G. Influence of large amplitudes on free flexural vibrations of rectangular plates, ASME. J. Appl. Mech. 23:1956;532-540.
33. Ganapathi M., Touratier M. A study on thermal postbuckling behavior of laminated composite plates using a shear flexible finite element. Finite Elements Anal. Des. 28:1997;115-135.