Axisymmetric Vibrations of Layered Cylindrical Shells with Cracks
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32797
Axisymmetric Vibrations of Layered Cylindrical Shells with Cracks

Authors: Larissa Roots

Abstract:

Vibrations of circular cylindrical shells made of layered composite materials are considered. The shells are weakened by circumferential cracks. The influence of circumferential cracks with constant depth on the vibration of the shell is prescribed with the aid of a matrix of local flexibility coupled with the coefficient of the stress intensity known in the linear elastic fracture mechanics. Numerical results are presented for the case of the shell with one circular crack.

Keywords: Layered shell, axisymmetric vibration, crack.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1087097

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1733

References:


[1] Dimarogonas A.D., Vibration of cracked structures: a state of the art review, Eng. Fracture Mech.,Vol.55, 1996, pp. 831-857.
[2] Chondros T.G., Dimarogonas A.D., Yao J., A continuous cracked beam vibration theory,Journal of Sound and Vibration, Vol.215, No.1, 1998, pp.17-34.
[3] Chondros T.G., Dimarogonas A.D. Vibration of a cracked cantilever beam,Trans. ASME, J. Vibr. Acoust,Vol. 120, 1998, pp.742-746.
[4] Rizos P.F., Aspragathos N., Dimarogonas A.D., Identification of crack location and magnitude in a cantilever beam from the vibration modes,Journal of Sound and Vibration,Vol.138, No.3, 1990, pp. 381- 388.
[5] Liang R.Y., Choy F.K., Hu J., Detection of cracks in beam structures using measurements of natural frequencies, J. Franklin Inst., Vol.328, No.4, 1991, pp. 505-518.
[6] Kisa M., Brandon J., Topcu M., Free vibration analysis of cracked beams by a combination of finite elements and component mode synthesismethods,Computers and Structures,Vol. 67, 1998, pp. 215-223.
[7] Lellep J., Sakkov E., Bucklingof stepped composite columns,Mechanics of Composite Meterials,Vol.42, No.1, 2006, pp. 63-72.
[8] Krawczuk M., Ostachowicz W., Damage indicators for diagnostic of fatigue cracks in structures by vibration measurements – a Survey,Journalof Theoretical and Applied Mechanics, Vol. 34, No. 2, 1996, pp.307—326.
[9] Ostachowicz W., Krawczuk M., Analysis of the effect of cracks on the natural frequencies of a cantilever beam, Journal of Sound and Vibration,Vol.150, No.2, 1991, pp. 191—201.
[10] NikpourK.,Diagnosis of axisymmetric cracks in orthotropic cylindrical shells by vibration measurement, Compos. Science and Technol.,Vol. 39, pp. 45—61.
[11] Nikpour K., Dimarogonas A., Local compliance of composite cracked bodies, Composites Sci. and Technology, Vol. 38, 1988, pp. 209-223.
[12] Lellep, J., Roots, L., Vibrations of cylindrical shells with circumferential cracks, WSEAS Transactions on Mathematics, Vol.9, No.9, 2010, pp. 689 - 699.
[13] L. H. Donnell, Beams, Plates and Shells ,McGraw Hill, 1976.