Structural Engineering and Mechanics

  • 제31권6호
  • /
  • Pages.663-678
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  • 2009
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Exact solution for forced torsional vibration of finite piezoelectric hollow cylinder

  • Wang, H.M. (Department of Mechanics, Zhejiang University) ;
  • Liu, C.B. (Department of Civil Engineering, Zhejiang University) ;
  • Ding, H.J. (Department of Civil Engineering, Zhejiang University)
  • 투고 : 2007.10.10
  • 심사 : 2009.03.13
  • 발행 : 2009.04.20
⟨ 이전 논문 다음 논문 ⟩

초록

An exact solution is obtained for forced torsional vibration of a finite class 622 piezoelectric hollow cylinder with free-free ends subjected to dynamic shearing stress and time dependent electric potential at both internal and external surfaces. The solution is first expanded in axial direction with trigonometric series and the governing equations for the new variables about radial coordinate r and time t are derived with the aid of Fourier series expansion technique. By means of the superposition method and the separation of variables technique, the solution for torsional vibration is finally obtained. Natural frequencies and the transient torsional responses for finite class 622 piezoelectric hollow cylinder with free-free ends are computed and illustrated.

키워드

참고문헌

  1. Lin, S.Y. (1996), "Torsional vibration of coaxially segmented, tangentially polarized piezoelectric ceramic tubes", J. Acoust. Soc. Am., 99, 3476-3480 https://doi.org/10.1121/1.414994
  2. Mitra, A.K. and Mukherji, P. (1972), "On the torsional vibration of a finite circular cylinder of non-homogeneous material by a particular type of twist on one of its plane ends", Pure Appl. Geophy., 95, 75-79 https://doi.org/10.1007/BF00878855
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  5. Srinivasamoorthy, V.R. and Anandam, C. (1980), "Torsional wave propagation in an infinite piezoelectric cylinder (622) crystal class", J. Acoust. Soc. Am., 67, 2034-2035 https://doi.org/10.1121/1.384445
  6. Timoshenko, S., Young, D.H. and Weaver, W. (1974), Vibration Problems in Engineering (4th edition), John Wiley & Sons, New York
  7. Wang, X., Xia, X.H. and Hao, W.H. (2003), "An elastodynamic solution of finite long orthotropic hollow cylinder under torsion impact", J. Sound Vib., 267, 67-86 https://doi.org/10.1016/S0022-460X(02)01413-X
  8. Xie, S. and Liu, K. (1998), "Transient torsional wave propagation in a transversely isotropic tube", Arch. Appl. Mech., 68, 589-596 https://doi.org/10.1007/s004190050189

피인용 문헌

  1. Radial vibration behaviors of cylindrical composite piezoelectric transducers integrated with functionally graded elastic layer vol.38, pp.6, 2009, https://doi.org/10.12989/sem.2011.38.6.753
  2. Exact forced torsional vibration solution of a shaft with multiple discontinuities and arbitrary boundary conditions vol.22, pp.4, 2009, https://doi.org/10.21595/jve.2020.20938