References
- Birman, V. and Simitses, G.J. (2001), "Vibration of sandwich panels and beams with matrix cracks in the facings", Compos. Sci. Technol., 61(11), 1605-1613. https://doi.org/10.1016/S0266-3538(01)00053-7
- Chondros, T.G. and Dimarogonas, A.D. (1998), "Vibration of a cracked cantilever beam", J. Vib. Acoust., 120(3), 742-746. https://doi.org/10.1115/1.2893892
- Chondros, T.G., Dimarogonas, A.D. and Yao, J. (1998a), "A continuous cracked beam vibration theory", J. Sound. Vib., 215(1), 17-34. https://doi.org/10.1006/jsvi.1998.1640
- Chondros, T.G., Dimarogonas, A.D. and Yao, J. (1998b), "Longitudinal vibration of a bar with a breathing crack", Eng. Fract. Mech., 61(5-6), 503-518. https://doi.org/10.1016/S0013-7944(98)00077-0
- Chondros, T.G., Dimarogonas, A.D. and Yao, J. (2001), "Vibration of a beam with a breathing crack", J. Sound. Vib., 239(1), 57-67. https://doi.org/10.1006/jsvi.2000.3156
- Della, C.N. and Shu, D. (2004), "Vibrations of beams with two overlapping delaminations", Compos. Struct., 66(1-4), 101-108. https://doi.org/10.1016/j.compstruct.2004.04.027
- Della, C.N. and Shu, D. (2005a), "Vibration of beams with double delaminations", J. Sound. Vib., 282(3-5), 919-935. https://doi.org/10.1016/j.jsv.2004.03.052
- Della, C.N. and Shu, D. (2005b), "Free vibration analysis of composite beams with overlapping delaminations", Eur. J. Mech. A-Solid., 24(3), 491-503.
- Della, C.N. and Shu, D. (2006), "Vibration of delaminated multilayer beams", Compos. Part B: Eng., 37(2-3), 227-236. https://doi.org/10.1016/j.compositesb.2005.05.006
- Della, C.N. and Shu, D. (2007), "Vibration of delaminated composite laminates: A review", Appl. Mech. Rev., 60(1-6), 1-20. https://doi.org/10.1115/1.2375141
- Della, C.N. and Shu, D. (2009), "Free vibrations of delaminated beams in prebuckled states: lower and upper Bounds", Struct. Eng. Mech., 31(1), 113-116. https://doi.org/10.12989/sem.2009.31.1.113
- Dimarogonas, A.D. (1996), "Vibration of cracked structures-a state of the art review", Eng. Fract. Mech., 55(5), 831-857. https://doi.org/10.1016/0013-7944(94)00175-8
- Fallah, N. and Mousavi, M. (2012), "An inverse approach for the calculation of flexibility coefficient of open-side cracks in beam type structures", Struct. Eng. Mech., 41(2), 285-297. https://doi.org/10.12989/sem.2012.41.2.285
- Gounaris, G.D., Papadopoulos, C.A. and Dimarogonas, A.D. (1996), "Crack identification in beams by coupled response measurement", Comput. Struct., 58(2), 299-305. https://doi.org/10.1016/0045-7949(95)00142-4
- Ibrahim, A.M., Ozturk, H. and Sabuncu, M. (2013), "Vibration analysis of cracked frame structures", Struct. Eng. Mech., 45(1), 33-52. https://doi.org/10.12989/sem.2013.45.1.033
- Karaagac, C., Ozturk, H. and Sabuncu, M. (2011), "Crack effects on the in-plane static and dynamic stabilities of a curved beam with an edge crack", J. Sound. Vib., 330(8), 1718-1736. https://doi.org/10.1016/j.jsv.2010.10.033
- Ke, L.L., Yang, J., Kitipornchai, S. and Xiang, Y. (2009), "Flexural vibration and elastic buckling of a cracked Timoshenko beam made of functionally graded materials", Mech. Adv. Mater. Struct., 16(6), 488-502. https://doi.org/10.1080/15376490902781175
- Kisa, M. (2004), "Free vibration analysis of a cantilever composite beam with multiple cracks", Compos. Sci. Technol., 64(9), 1391-1402. https://doi.org/10.1016/j.compscitech.2003.11.002
- Kisa, M. (2012), "Vibration and stability of axially loaded cracked beams", Struct. Eng. Mech., 44(3), 306-323.
- Kisa, M. and Gurel, M.A. (2005), "Modal analysis of cracked cantilever composite beams", Struct. Eng. Mech., 20(2), 143-160. https://doi.org/10.12989/sem.2005.20.2.143
- Kisa, M. and Gurel, M.A. (2007), "Free vibration analysis of uniform and stepped cracked beams with circular cross sections", Int. J. Eng. Sci., 45(2-8), 364-380. https://doi.org/10.1016/j.ijengsci.2007.03.014
- Kitipornchai, S., Ke, L.L., Yang, J. and Xiang, Y. (2009), "Nonlinear vibration of edge cracked functionally graded Timoshenko beams", J. Sound. Vib., 324(3-5), 962-982. https://doi.org/10.1016/j.jsv.2009.02.023
- Lee, J. (2000), "Free vibration analysis of delaminated composite beams", Comput. Struct., 74(2), 121-129. https://doi.org/10.1016/S0045-7949(99)00029-2
- Lee, S., Park, T., Voyiadjis, G.Z. and George, Z. (2003), "Vibration analysis of multi-delaminated beams", Compos. Part B-Eng., 34(7), 647-659. https://doi.org/10.1016/S1359-8368(03)00053-2
- Liu, Y. and Shu, D. (2012), "Free vibration analysis of rotating Timoshenko beams with multiple delaminations", Compos. Part B: Eng., 44(1) 733-739.
- Luo, H. and Hanagud, S. (2000), "Dynamics of delaminated beams", Int. J. Solid. Struct., 37(10), 1501-1519. https://doi.org/10.1016/S0020-7683(98)00325-4
- Mujumdar, P.M. and Suryanarayan, S. (1988), "Flexural vibrations of beams with delaminations", J. Sound. Vib., 125(3), 441-461. https://doi.org/10.1016/0022-460X(88)90253-2
- Parlapalli, M.R. and Shu, D. (2006), "Effects of bridging on buckling analysis of tri-layer beams with multiple delaminations", AIAA J., 44(9), 2109-2177.
- Parlapalli, M.R., Shu, D. and Chai, G.B. (2006), "Analytical model and numerical analysis of delamination buckling in layer beams", Diffus. De. B., 111, 75-78.
- Parlapalli, M.R., Shu, D. and Chai, G.B. (2008), "Buckling of composite beams with two enveloped delaminations: lower and upper bounds", Comput. Struct., 86(23-24), 2155-2165. https://doi.org/10.1016/j.compstruc.2008.06.008
- Pugno, N., Surace, C. and Ruotolo, R. (2000), "Evaluation of the non-linear dynamic response to harmonic excitation of a beam with several breathing cracks", J. Sound. Vib., 235(5), 749-762. https://doi.org/10.1006/jsvi.2000.2980
- Ramtekkar, G.S. (2009), "Free vibration analysis of delaminated beams using mixed finite element model", J. Sound. Vib., 328(4-5), 428-440. https://doi.org/10.1016/j.jsv.2009.08.008
- Ruotolo, R. and Surace, C. (2004), "Natural frequencies of a bar with multiple cracks", J. Sound. Vib., 272(1-2), 301-316. https://doi.org/10.1016/S0022-460X(03)00761-2
- Ruotolo, R., Surace, C., Crespo, P. and Storer, D. (1996), "Harmonic analysis of the vibrations of a cantilever beam with a closing crack", Comput Struct., 61(6), 1057-74. https://doi.org/10.1016/0045-7949(96)00184-8
- Saravanos, D.A. and Hopkins, D.A. (1996), "Effects of delaminations on the damped dynamic characteristics of composite laminates: analysis and experiments", J. Sound. Vib., 192(5), 977-993. https://doi.org/10.1006/jsvi.1996.0229
- Sayyad, F.B. and Kumar, B. (2012), "Identification of crack location and crack size in a simply supported beam by measurement of natural frequencies", J. Sound. Vib., 18(2), 183-190.
- Shifrin, E.I. and Ruotolo, R. (1999), "Natural frequencies of a beam with an arbitrary number of cracks", J. Sound. Vib., 222(3), 409-423. https://doi.org/10.1006/jsvi.1998.2083
- Tay, T.E. (2003), "Characterization and analysis of delamination fracture in composites: an overview of developments from 1990 to 2001", Appl. Mech. Rev., 56(1), 1-31. https://doi.org/10.1115/1.1504848
- Wang, J.T.S., Liu, Y.Y. and Gibby, J.A. (1982), "Vibration of split beams", J. Sound. Vib., 84(4), 491-502. https://doi.org/10.1016/S0022-460X(82)80030-8
- Yang, J. and Chen, Y. (2008), "Free vibration and buckling analyses of functionally graded beams with edge cracks", Compos. Struct., 83(1), 48-60. https://doi.org/10.1016/j.compstruct.2007.03.006
- Yang, J., Chen, Y., Xiang, Y. and Jia, X.L. (2008), "Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load", J. Sound. Vib., 312(1-2), 166-181. https://doi.org/10.1016/j.jsv.2007.10.034
- Zou, Y., Tong, L. and Steven, G.P. (2000), "Vibration-based model-dependent damage (delamination) identification and health monitoring for composite structures-A Review", J. Sound. Vib., 230(2) 357-378.
Cited by
- Comparative study on cracked beam with different types of cracks carrying moving mass vol.56, pp.5, 2015, https://doi.org/10.12989/sem.2015.56.5.797
- Delamination of a composite laminated under monotonic loading vol.63, pp.5, 2015, https://doi.org/10.12989/sem.2017.63.5.597
- Stochastic modelling fatigue crack evolution and optimum maintenance strategy for composite blades of wind turbines vol.63, pp.6, 2015, https://doi.org/10.12989/sem.2017.63.6.703
- Post-buckling responses of a laminated composite beam vol.26, pp.6, 2015, https://doi.org/10.12989/scs.2018.26.6.733
- Geometrically nonlinear analysis of a laminated composite beam vol.66, pp.1, 2015, https://doi.org/10.12989/sem.2018.66.1.027
- Large deflection analysis of a fiber reinforced composite beam vol.27, pp.5, 2015, https://doi.org/10.12989/scs.2018.27.5.567
- Thermal post-buckling analysis of a laminated composite beam vol.67, pp.4, 2018, https://doi.org/10.12989/sem.2018.67.4.337
- Free vibration of multi-cracked beams vol.79, pp.4, 2015, https://doi.org/10.12989/sem.2021.79.4.441