Yıl: 2006 Cilt: 11 Sayı: 1 Sayfa Aralığı: 1 - 10 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

In-plane vibrations of circular curved beams with a transverse open crack

Öz:
In this study, the in plane vibrations of cracked, circular curved beams is investigated. The beam is an Euler-Bernoulli beam. Only bending and extension effects are included. The curvature is in a single plane. In plane vibrations is analyzed using EEM. In the analysis, elongation, bending and rotary inertia effects are included. Four degrees of freedom for in-plane vibrations is assumed. Natural frequencies of the beam with a crack in different locations and depths are calculated using FEM. Comparisons are made for different angles.
Anahtar Kelime:

Konular: Matematik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • 1.A. E. H. Love, Treatise on the Mathematical Theory of Elasticity, Dover: fourth edition, New York, 1944.
  • 2.T.G.Yamada,I. Takahashi, The steady state out-of-plane response of a Timoshenko curved beam with internal damping, Journal of Sound and Vibration 71, 145-156, 1986.
  • 3.A. Ibrahimbegovic, On finite element implementation of geometrically nonlinear Reissner's beam theory: three dimensional curved beam elements, Computer Methods in Applied Mechanics and Engineering 122, 11-26, 1995.
  • 4.A. A. Khdeir and J. N. Reddy, Free and forced vibration of cross-ply laminated composite shallow arches, Int. J. Solids and Structures 34(10), 1217-1234, 1997.
  • 5.A. K. Khan and P. J. Pise, Dynamic behaviour of curved piles, Computers and Structures 65(6), 795-807, 1997.
  • 6.K. Kang and C. W. Bert, Flexural-torsional buckling analysis of arches with warping using DQM, Engineering Structures 19(3), 247-254, 1997.
  • 7.E. Bozhevolnaya and A. Kildegaard, Experimental study of a uniformly loaded curved sandwich beam, Computers and Structures 40(2), 175-185, 1998.
  • 8.S. J. Walsh and R. G. White, Mobility of a semi-infinite beam with constant curvature, Journal of Sound and Vibration 221(5), 887-902, 1999.
  • 9.K. Kashimoto, A. Shiraishi and K. Nagaya, Dynamic stress concentration in and arbitrary curved and inhomogeneous rod joined with infinite straight rods and excited by a twisting wave, Journal of Sound and Vibration 178(3), 395-409, 1994.
  • 10.X. Tong, N. Mrad, B. Tabarrok, In-plane vibration of circular arches with variable cross-sections, Journal of Sound and Vibration 212(1), 121-140, 1998.
  • 11.A. Krishnan, S. Dharmaraj and Y. J. Suresh, Free vibration studies of arches,Journal of Sound and Vibration 186(5), 856-863, 1995.
  • 12.P. Chidamparam and A. W. Leissa, Influence of centerline extensibility on the inplane free vibrations of loaded circular arches, Journal of Sound and Vibration 183(5), 779-795, 1995.
  • 13.A. Krishnan, Y. J. Suresh, A simple cubic linear element for static and free vibration analyses of curved beams, Computers and Structures 68, 473-489, 1998.
  • 14.E. Tüfekçi and A. Arpacı, Exact solution of in-plane vibrations of circular arches with account taken of axial extension, transverse shear and rotatory inertia effects, Journal of Sound and Vibration 209(5), 845-856, 1998.
  • 15.M. A. De Rosa, C. Franciosi, Exact and approximate dynamic analysis of circular arches using DQM, International Journal of Solids and Structures 37, 1103-1117, 2000.
  • 16.P. Raveendranath, G. Singh, B. Pradhan, Free vibration of arches using a curved beam element based on a coupled polynomial displacement field, Computers and Structures 78, 583-590, 2000.
  • 17.S. J. Oh, B. K. Lee, I. W. Lee, Free vibrations of non-circular arches with nonuniform cross-section, International Journal of Solids and Structures 37, 4871-4891, 2000.
  • 18.T. G. Chondros, A. D. Dimarogonas, and J. Yao, A continuous cracked beam vibration theory, Journal of Sound and Vibration 215(1), 17-34, 1998.
  • 19.M. Kisa, J. Brandon, M. Topçu, Free vibration analysis of cracked beams by a combination of finite elements and component mode synthesis methods, Computers and Structures 67, 215-223, 1998.
  • 20.J. Fernandez-Saez, L. Rubio and C. Navarro, Approximate calculation of the fundamental frequency for bending vibrations of cracked beams, Journal of Sound and Vibration 225(2), 345-352, 1999.
  • 21.A. P. Bovsunovsky and V. V. Matveev, Analytical approach to the determination of dynamic characteristics of a beam with a closing crack, Journal of Sound and Vibration 235(3), 415-434, 2000.
  • 22.N. T. Khiem and T. V. Lien, A simplified method for natural frequency analysis of a multiple cracked beam, Journal of Sound and Vibration 245(4), 737-751, 2001.
  • 23.P. N. Saavedra, L. A. Cuitino, Crack detection and vibration behavior of cracked beams, Computers and Structures 79, 1451-1459, 2001.
  • 24.D. Y. Zheng, N. J. Kessissoglou, Free vibration analysis of a cracked beam by finite element method, Journal of Sound and Vibration 273, 457-475, 2004.
  • 25.M. Krawczuk, W. M. Ostachowicz, Natural vibrations of a clamped-clamped arch with an open transverse crack, Journal of Vibration and Acoustics 119, 145-151, 1997.
  • 26.M. N. Cerria, G. C. Rutab, Detection of localized damage in plane circular arches by frequency data, Journal of Sound and Vibration 270, 39-59, 2004.
  • 27.W. H. Müller, G. Herrmann and H. Gao, A note on curved cracked beams, International Journal of Solids and Structures 30(11), 1527-1532, 1993.
  • 28.L. Nobile, Mixed mode crack growth in curved beams with radial edge crack, Theoretical and Applied Fracture Mechanics 36, 61-72, 2001.
  • 29.M. Petyt, Introduction to finite element vibration analysis, Cambridge University Press, U.K., 1990.
  • 30.H. A. Özyiğit, H. R. Öz and M. Tekelioğlu, Linear forced in-plane and out-of-plane vibrations of frames having a curved member, Mathematical and Computational Applications 9, 371-380, 2004.
  • 31.E. E. Gdoutos, Fracture Mechanics, Dordrecht: Kluwer Academic Publishers, 1993.
  • 32.X. F. Yang, A. S. J. Swamidas, and R. Seshadri, Crack identification in vibrating beams using the energy method Journal of Sound and Vibration 244(2), 339-357,2001.
APA ÖZ H, DAŞ M (2006). In-plane vibrations of circular curved beams with a transverse open crack. , 1 - 10.
Chicago ÖZ H. R.,DAŞ M. T. In-plane vibrations of circular curved beams with a transverse open crack. (2006): 1 - 10.
MLA ÖZ H. R.,DAŞ M. T. In-plane vibrations of circular curved beams with a transverse open crack. , 2006, ss.1 - 10.
AMA ÖZ H,DAŞ M In-plane vibrations of circular curved beams with a transverse open crack. . 2006; 1 - 10.
Vancouver ÖZ H,DAŞ M In-plane vibrations of circular curved beams with a transverse open crack. . 2006; 1 - 10.
IEEE ÖZ H,DAŞ M "In-plane vibrations of circular curved beams with a transverse open crack." , ss.1 - 10, 2006.
ISNAD ÖZ, H. R. - DAŞ, M. T.. "In-plane vibrations of circular curved beams with a transverse open crack". (2006), 1-10.
APA ÖZ H, DAŞ M (2006). In-plane vibrations of circular curved beams with a transverse open crack. Mathematical and Computational Applications, 11(1), 1 - 10.
Chicago ÖZ H. R.,DAŞ M. T. In-plane vibrations of circular curved beams with a transverse open crack. Mathematical and Computational Applications 11, no.1 (2006): 1 - 10.
MLA ÖZ H. R.,DAŞ M. T. In-plane vibrations of circular curved beams with a transverse open crack. Mathematical and Computational Applications, vol.11, no.1, 2006, ss.1 - 10.
AMA ÖZ H,DAŞ M In-plane vibrations of circular curved beams with a transverse open crack. Mathematical and Computational Applications. 2006; 11(1): 1 - 10.
Vancouver ÖZ H,DAŞ M In-plane vibrations of circular curved beams with a transverse open crack. Mathematical and Computational Applications. 2006; 11(1): 1 - 10.
IEEE ÖZ H,DAŞ M "In-plane vibrations of circular curved beams with a transverse open crack." Mathematical and Computational Applications, 11, ss.1 - 10, 2006.
ISNAD ÖZ, H. R. - DAŞ, M. T.. "In-plane vibrations of circular curved beams with a transverse open crack". Mathematical and Computational Applications 11/1 (2006), 1-10.