Linear forced in-plane and out-of-plane vibrations of frames having a curved member

TEKELİOĞLU, M.; ÖZ, H. R.; ÖZYİĞİT, H. A.

Linear forced in-plane and out-of-plane vibrations of frames having a curved member

H. A. ÖZYİĞİT, (Zonguldak Karaelmas Üniversitesi, Mühendislik Fakültesi, Makine Mühendisliği Bölümü, Zonguldak, Türkiye)

H. R. ÖZ, (Gaziantep Üniversitesi, Mühendislik Fakültesi, Makina Mühendisliği Bölümü, Gaziantep, Türkiye)

M. TEKELİOĞLU (Celal Bayar Üniversitesi, Mühendislik Fakültesi, Makina Mühendisliği Bölümü, Manisa, Türkiye)

Mathematical and Computational Applications

0 0

Yıl: 2004 Cilt: 9 Sayı: 3 Sayfa Aralığı: 371 - 380 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Linear forced in-plane and out-of-plane vibrations of frames having a curved member

Öz:

The forced, in-plane and out-of-plane vibrations of frames comprised of straight and curved members are investigated using Finite Element Methods. The straight and curved beams are assumed as Euler-Bernoulli type and they have circular cross-sections. The frame lies in a single plane. In the analysis, elongation, bending and rotary inertia effects are included. Four degrees of freedom for in-plane vibrations and three degrees of freedom for out-of-plane vibrations are assumed. The in-plane and out-of-plane point and transfer receptances are obtained in order to determine the sensitive and non-sensitive frequency interval of the frame system.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

1.A.E.H. Love, A Treatise on the Mathematical Theory of Elasticity, New York: Dover: fourth edition, 1944.
2.M. Ojalvo, E. Demuts, F. Tokarz, Out-of plane buckling of curved members. ASCE Journal of Structural Division 95, 2305-2316, 1969.
3.T.G. Yamada, I. Takahashi, The steady state out-of-plane response of a Timoshenkom curved beam with internal damping. Journal of sound and Vibration 71, 145-156,1986.
4.J.M.M. Silva, A.P. V. Urgueira, Out-of-plane dynamic response of curved beams-an analytical model, International Journal of Solids and Structures 24, 271-284, 1988.
5.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.
6.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.
7.A.K. Khan and P.J. Pise, Dynamic behaviour of curved piles, Computers and Structures 65(6), 795-807, 1997.
8.K. Kang and C. W. Bert, Flexural-torsional buckling analysis of arches with warping using DQM, Engineering Structures 19(3), 247-254, 1997.
9.E. Bozhevolnaya and A. Kildegaard, Experimental study of a uniformly loaded curved sandwich beam, Computers and Structures 40(2), 175-185, 1998.
10.C.S. Huang, Y.P. Tseng, S.H. Chang, Out-of-plane dynamic responses of non- circular curved beams by numerical Laplace transform. Journal of Sound and Vibration 215(3), 407-424, 1998.
11.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.
12.C.S. Huang, Y.P. Tseng, S.H. Chang, C.L. Hung, Out-of-plane dynamic analysis of beams with arbitrarily varying curvature and cross-section by dynamic stiffness matrix method, Int. Journal of Solids Struct. 37(3), 495-513, 2000.
13.V.H. Cortinez, P.A.A. Laura, C.P. Filipich, R. Carnicer, In-plane vibrations of a clamped column-arch system carrying a concentrated mass at the free end, Journal of Sound and Vibration 112(2), 379-383, 1987.
14.J.Wang, K. Nagaya and M. Yokota, Vibration of a spiral rod with straight portions on a number of supports, Journal of Sound and Vibration 162(1), 13-26, 1993.
15.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.
16.R.T. Wang, Vibration of a T-type curved frame due to a moving force, Journal of Sound and Vibration 215, 143-165, 1998.
17.R.T. Wang, Vibration of straight-curved-straight hollow shafts, Journal of Sound and Vibration 234(3), 369-386, 2000.
18.J. Petrolito and K.A. Legge, Nonlinear analysis of frames with curved members,Computers and Structures 79, 727-735, 2001.
19.M. Petyt, Introduction to finite element vibration analysis, Cambridge University Press, U.K., 1990.
20.S.H. Crandall, The role of damping in vibration theory, Journal of Sound and Vibration 11(1), 3-18, 1970.
21.H.T. Banks, D.J. Inman, On damping mechanisms in beams, Transactions of the ASME 58, 716-723, 1991.

APA	ÖZYİĞİT H, ÖZ H, TEKELİOĞLU M (2004). Linear forced in-plane and out-of-plane vibrations of frames having a curved member. , 371 - 380.
Chicago	ÖZYİĞİT H. A.,ÖZ H. R.,TEKELİOĞLU M. Linear forced in-plane and out-of-plane vibrations of frames having a curved member. (2004): 371 - 380.
MLA	ÖZYİĞİT H. A.,ÖZ H. R.,TEKELİOĞLU M. Linear forced in-plane and out-of-plane vibrations of frames having a curved member. , 2004, ss.371 - 380.
AMA	ÖZYİĞİT H,ÖZ H,TEKELİOĞLU M Linear forced in-plane and out-of-plane vibrations of frames having a curved member. . 2004; 371 - 380.
Vancouver	ÖZYİĞİT H,ÖZ H,TEKELİOĞLU M Linear forced in-plane and out-of-plane vibrations of frames having a curved member. . 2004; 371 - 380.
IEEE	ÖZYİĞİT H,ÖZ H,TEKELİOĞLU M "Linear forced in-plane and out-of-plane vibrations of frames having a curved member." , ss.371 - 380, 2004.
ISNAD	ÖZYİĞİT, H. A. vd. "Linear forced in-plane and out-of-plane vibrations of frames having a curved member". (2004), 371-380.

APA	ÖZYİĞİT H, ÖZ H, TEKELİOĞLU M (2004). Linear forced in-plane and out-of-plane vibrations of frames having a curved member. Mathematical and Computational Applications, 9(3), 371 - 380.
Chicago	ÖZYİĞİT H. A.,ÖZ H. R.,TEKELİOĞLU M. Linear forced in-plane and out-of-plane vibrations of frames having a curved member. Mathematical and Computational Applications 9, no.3 (2004): 371 - 380.
MLA	ÖZYİĞİT H. A.,ÖZ H. R.,TEKELİOĞLU M. Linear forced in-plane and out-of-plane vibrations of frames having a curved member. Mathematical and Computational Applications, vol.9, no.3, 2004, ss.371 - 380.
AMA	ÖZYİĞİT H,ÖZ H,TEKELİOĞLU M Linear forced in-plane and out-of-plane vibrations of frames having a curved member. Mathematical and Computational Applications. 2004; 9(3): 371 - 380.
Vancouver	ÖZYİĞİT H,ÖZ H,TEKELİOĞLU M Linear forced in-plane and out-of-plane vibrations of frames having a curved member. Mathematical and Computational Applications. 2004; 9(3): 371 - 380.
IEEE	ÖZYİĞİT H,ÖZ H,TEKELİOĞLU M "Linear forced in-plane and out-of-plane vibrations of frames having a curved member." Mathematical and Computational Applications, 9, ss.371 - 380, 2004.
ISNAD	ÖZYİĞİT, H. A. vd. "Linear forced in-plane and out-of-plane vibrations of frames having a curved member". Mathematical and Computational Applications 9/3 (2004), 371-380.