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http://dx.doi.org/10.12989/sem.2005.20.2.143

Modal analysis of cracked cantilever composite beams  

Kisa, Murat (Mechanical Engineering Department, Faculty of Engineering, Harran University)
Arif Gurel, M. (Civil Engineering Department, Faculty of Engineering, Harran University)
Publication Information
Structural Engineering and Mechanics / v.20, no.2, 2005 , pp. 143-160 More about this Journal
Abstract
Modal analysis of cracked cantilever composite beams, made of graphite-fibre reinforced polyamide, is studied. By using the finite element and component mode synthesis methods, a numeric model applicable to investigate the vibration of cracked composite beams is developed. In this new approach, from the crack section, the composite beam separated into two parts coupled by a flexibility matrix taking into account the interaction forces. These forces are derived from the fracture mechanics theory as the inverse of the compliance matrix calculated with the proper stress intensity factors and strain energy release rate expressions. Numerical results are obtained for modal analysis of composite beams with a transverse non-propagating open crack, addressing the effects of the location and depth of the crack, and the volume fraction and orientation of the fibre on the natural frequencies and mode shapes. By means of modal data, the position and dimension of the defect can be found. The results of the study confirmed that presented method is suitable for the vibration analysis of cracked cantilever composite beams. Present technique can be easily extended to composite plates and shells.
Keywords
composite; defects; damage assessment; numerical analysis; component mode synthesis;
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1 Kisa, M., Brandon, J.A. and Topcu, M. (1998), 'Free vibration analysis of cracked beams by a combination of finite elements and component mode synthesis methods', Comput. Struct., 67(4), 215-223   DOI   ScienceOn
2 Adams, R.D., Cawley, P., Pye, C.J. and Stone, J. (1978), 'A vibration testing for non-destructively assessing the integrity of the structures', J. Mech. Eng. Sci., 20, 93-100   DOI
3 Bao, G, Ho, S., Suo, Z. and Fan, B. (1992), 'The role of material orthotropy in fracture specimens for composites', Int. J. Solids Struct., 29, 1105-1116   DOI   ScienceOn
4 Gouranis, G. and Dimarogonas, A.D. (1988), 'A finite element of a cracked prismatic beam for structural analysis', Comput. Struct., 28, 309-313   DOI   ScienceOn
5 Hurty, W.C. (1965), 'Dynamic analysis of structures using substructure modes', AIAA J., 3, 678-685   DOI
6 Kisa, M. and Brandon, J.A. (2000a), 'Free vibration analysis of multiple open-edge cracked beams by component mode synthesis', Struct. Eng. Mech., 10(1), 81-92   DOI   ScienceOn
7 Kisa, M. and Brandon, J.A. (2000b), 'The effects of closure of cracks on the dynamics of a cracked cantilever beam', J. Sound Vib., 238(1), 1-18   DOI   ScienceOn
8 Krawczuk, M., Ostachowicz, W. and Zak, A. (1997), 'Modal analysis of cracked, unidirectional composite beam', Composites Part B, 28B, 641-650
9 Krawczuk, M. and Ostachowicz, W.M. (1995), 'Modelling and vibration analysis of a cantilever composite beam with a transverse open crack', J. Sound Vib., 183(1), 69-89   DOI   ScienceOn
10 Krawczuk, M. (1994), 'A new finite element for the static and dynamic analysis of cracked composite beams', Comput. Struct., 52(3), 551-561   DOI   ScienceOn
11 Nikpour, K. and Dimarogonas, A.D. (1988), 'Local compliance of composite cracked bodies'. Compos. Sci. Technol., 32, 209-223   DOI   ScienceOn
12 Oral, S. (1991), 'A shear flexible finite element for non-uniform laminated composite beams', Comput. Struct., 38(3), 353-360   DOI   ScienceOn
13 Przemieniecki, J.S. (1967), Theory of Matrix Structural Analysis, London, McGraw-Hill, first edition
14 Ruotolo, R., Surace, C., Crespo, P. and Storer, D. (1996), 'Harmonic analysis of the vibrations of a cantilevered beam with a closing crack', Comput. Struct., 61, 1057-1074   DOI   ScienceOn
15 Shen, M.H.H. and Chu, Y.C. (1992), 'Vibrations of beams with a fatigue crack', Comput. Struct., 45, 79-93   DOI   ScienceOn
16 Song, O., Ha, T.W. and Librescu, L. (2003), 'Dynamics of anisotropic composite cantilevers weakened by multiple transverse open cracks', Eng. Fract. Mech., 70, 105-123   DOI   ScienceOn
17 Tada, H., Paris, P.C. and Irwin, G.R. (1985), The Stress Analysis of Cracks Handbook, St. Louis, Missouri 63105, Paris production incorporated and Del Research Corporation, Second edition
18 Vinson, J.R. and Sierakowski, R.L. (1991), Behaviour of Structures Composed of Composite Materials, Dordrecht, Martinus Nijhoff, first edition
19 Wauer, J. (1991), 'Dynamics of cracked rotors: a literature survey', Applied Mechanics Reviews, 17, 1-7
20 Dimarogonas, A.D. (1996), 'Vibration of cracked structures: A state of the art review', Eng. Fract. Mech., 55(5), 831-857   DOI   ScienceOn
21 Nikpour, K. (1990), 'Buckling of cracked composite columns', Int. J. Solids Struct., 26(12), 1371-1386   DOI   ScienceOn
22 Cawley, P. and Adams, R.D. (1979), 'The location of defects in structures from measurements of natural frequencies', J. Strain Analysis, 14, 49-57   DOI   ScienceOn