Analysis of free damped vibrations of laminated composite conical shells

Composite Structures

Volumn 41, Issue 1, 1998, Pages 39-47

  Korjakin, A ^a   Rikards, R ^a   Chate, A ^a   Altenbach, H ^b  

^a RIGA TECHNICAL UNIVERSITY   (Latvia)

^b MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; FINITE ELEMENT METHOD; SHEAR DEFORMATION; SHELLS (STRUCTURES); VIBRATIONS (MECHANICAL);

ENERGY METHOD; FIRST ORDER SHEAR DEFORMATION THEORY; LAMINATED COMPOSITE CONICAL SHELLS;

COMPOSITE STRUCTURES;

COMPOSITES, FIBRE-REINFORCED; LAMINATES;

EID: 0031872339     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8223(98)00024-5     Document Type: Article

References (46)

1. [1] Lin DX, Ni RG, Adams RG. Prediction and measurement of vibration damping parameters of carbon and glass fibre-reinforced plastic plates. J Composite Mater 1984;18:132-152.
2. [2] Suarez SA, Gibson RF. Sun CT, Chaturvedi SK. The influence of fibre length and fibre orientation on damping and stiffness of polymer composite materials. Experimental Mechanics 1986;26:175-184.
3. [3] Skudra AM, Bulavs FJ. Gurvich MR, Kruklinsh AA. Structural analysis of composite beam systems. Lancaster, Pa, USA: Technomic, 1989.
4. [4] Hwang SJ, Gibson RF. The effect of three-dimensional states of stress on damping of laminated composites. Composites Science and Technology 1991;41:379-393.
5. [5] Crane RM, Gillespie JW Jr. Characterization of the vibration damping loss factor of glass and graphite fibre composites. Composites Science and Technology 1991;40:355-375.
6. [6] Hu B-G, Dokainish MA. Damped vibration of laminated composite plates-modelling and finite element analysis. Finite Elements in Analysis and Design 1993;25:103-124.
7. [7] Rikards R, Chate A, Barkanov E. Finite element analysis of damping the vibrations of laminated composites. Computer and Structures 1993;47:1005-1015.
8. [8] Zinoviev P, Ermakov YN. Energy dissipation in composite materials. Lancaster, Pa, USA: Technomic, 1994.
9. [9] Saravanos DA. Integrated damping mechanics for thick composite laminates and plates. J Appl Mech 1994;61:375-383.
10. [10] Rikards R, Chate A, Korjakin A. Vibration and damping analysis of laminated composite plates by the finite element method. Engineering Computations 1995;12:61-74.
11. [11] Rikards R, Chate A. Vibration and damping analysis of laminated composite and sandwich shells. Mechanics of Composite Materials and Structures 1997;4:209-232.
12. [12] Moser, K., Faser-Kunststoff-Verbund. Düsseldorf: VDI-Verlag, 1992 (in German).
13. [13] Wilkins DJ, Bert CW, Egle DM. Free vibrations of orthotropic sandwich conical shells with various boundary conditions. J Sound Vibrations 1970;13:211-228.
14. [14] Alam N, Asnani NT. Vibration and damping analysis of a multilayered cylindrical shell. Part I: Theoretical analysis. AAIA J 1984;22:803-810.
15. [15] Alam N, Asnani NT. Vibration and damping analysis of a multilayered cylindrical shell. Part II: Numerical results analysis. AAIA J 1984;22:975-981.
16. [16] Ramesh TC, Ganesan N. Vibration and damping analysis of conical shells with constrained damping treatment. Finite Elements in Analysis and Design 1993;12:17-29.
17. [17] Ramesh TC, Ganesan N. A finite element based on a discrete layer theory for the free vibration analysis of conical shells. J Sound Vibrations 1993;166:531-538.
18. [18] Sivadas KR, Ganesan N. Free vibration and material damping analysis of moderately thick circular cylindrical shells. J Sound Vibrations 1994;172:47-61.
19. [19] Singh SP, Gupta K. Damped free vibrations of layered composite cylindrical shells. J Sound Vibrations 1994;172:191-209.
20. [20] Gautham BP, Ganesan N. Vibration and damping characteristics of spherical shells with viscoelastic core. J Sound Vibrations 1994;170:289-301.
21. [21] Okazaki A, Urata Y, Tatemichi A. Damping properties of three-layered shallow spherical shells with a constrained viscoelastic layers. Japan Society of Mechanical Engineers, Int J Series I. 1990;33:145-151.
22. [22] Bicos AS, Springer GS. Analysis of free damped vibration of laminated composite plates and shells. In: J Solid Struct 1989;25:129-149.
23. [23] Khatri KN. Vibrations of arbitrarily laminated fibre reinforced composite material truncated conical shell. J Reinforced Plastics and Composites 1995;14:923-948.
24. [24] Khatri KN. Antisymmetric vibrations of multilayered conical shells with constrained viscoelastic layers. Int J Solids Struct 1996;33:2331-2355.
25. [25] Khatri KN, Asnani NT. Vibration and damping analysis of multilayered conical shells. Composite Structures 1995;33:143-157.
26. [26] Khatri KN, Asnani NT. Vibration and damping analysis of fibre reinforced composite material conical shells. J Sound Vibrations 1996;193:581-595.
27. [27] Bicos AS, Springer GS. Vibrational characteristics of composite panels with cut-outs. AAIA J 1989;27:1116-1122.
28. [28] Lo KH, Christensen RM, Wu EM. A high-order theory of plate deformation. Part I: Homogeneous plates. Tran. ASME. J Appl Mech 1977;44(4):663-668.
29. [29] Lo KH, Christensen RM, Wu EM. A high-order theory of plate deformation. Part II: Laminated plates. Trans ASME J Appl Mech 1977;44(4): 669-679.
30. [30] Reddy JN. A simple higher-order theory for laminated composite plates. Trans ASME J Appl Mech 1984;51:745-752.
31. [31] Rikards R, Chate A. Isoparametrical triangular finite element of multilayered shell after Timoshenko's shear model. 1. Stiffness mass and geometric stiffness matrices. Mechanics of Composite Materials (translation from Mekhanika Kompozitnykh Materialov, translated from Russian by Plenum Press, New York) 1981;17:302-309.
32. [32] Adams RD, Bacon DGC. Effect of fibre orientation and laminate geometry on dynamic properties of CFRP. J Composite Mater 1973;7:361-402.
33. [33] Zinovyev PA, Ermakov YN. Anisotropy of the dissipative properties of fibrous composites. Mechanics of Composite Materials (translation from Mekhanika Kompozitnykh Materialov, translated from Russian by Plenum Press, New York) 1985;21:816-825.
34. [34] Rikards R, Chate A, Analysis and optimal design of damping properties of laminated composites. In: Proc. Ninth International Conference on Composite Materials, Vol. 4, Madrid, Spain, 12-16 July, 1993, pp. 329-336.
35. [35] Timoshenko SP. On the correction for shear of the differential equation for transverse vibrations of prismatic bars. Phil Mag 41 1921;6(245):744-746.
36. [36] Hencky H. Über die Berücksichtigung der Schubverzerrung in ebenen Platten. Ingenieur-Archiv 1947;16:72-76.
37. [37] Mindlin RD. Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates. Trans ASME J Appl Mech 1951;18(2):31-38.
38. [38] Rikards R. Finite Element Method in Theory of Shells and Plates. Riga: Zinatne Publishing House, 1988 (in Russian).
39. [39] Reddy JN. Mechanics of Composite Plates and Shells. Theory and Analysis. Boca Raton FL: CRC Press, 1996.
40. [40] Lekhnitskii SG. Theory of Elasticity of an Anisotropic Body. Moscow: Mir Publishers, 1981.
41. [41] Altenbach H, Altenbach J, Rikards R. Einführung in die Mechanik der Laminat- und Sandwichtragwerke. Stuttgart: Deutscher Verlag für Grundstoffindustrie, 1996 (in German).
42. [42] Vlachoutsis S. Shear correction factors for plates and shells. Int J Numer Meth Engng 1992;33:1537-1552.
43. [43] Zienkiewicz OC, Taylor RL. The finite element method, Vol.1: Basic formulation and linear problems, 4th edn. London: McGraw-Hill, 1989.
44. [44] Pawsey SF, Clough RW. Improved numerical integration of thick shell finite element. Int J Num Meth Engineering 1971;3:545-586.
45. [45] Aksu G, Al-Kaabi SA. Free vibration analysis of Mindlin plates with linearly varying thickness. J Sound and Vibrations 1987;119:189-205.
46. [46] Mikami T, Yoshimura J. Application of the collocation method to vibration analysis of rectangular Mindlin plates. Computer and Structures 1984;18:425-431.