Based on the thin plate theory and the two-dimensional viscoelastic differential type constitutive relation, the differential equation of motion of a viscoelastic plate containing an all-over part-through crack and subjected to uniformly distributed tangential follower force is established in Laplace domain. Then, by performing the Laplace inverse transformation, the differential equation of motion of the plate in the time domain is obtained. The expression of the additional rotation induced by the crack is given. The complex eigenvalue equations of the cracked viscoelastic plate subjected to uniformly distributed tangential follower force are obtained by the differential quadrature method, and the method is adopted at the crack continuity conditions. The general eigenvalue equations of the cracked viscoelastic plate subjected to uniformly distributed tangential follower force under the different boundary conditions are calculated. The transverse vibration characteristics, type of instability, and corresponding critical loads of the cracked viscoelastic plate subjected to uniformly distributed tangential follower force are analyzed.
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November 2008
Research Papers
Dynamic Stability of Cracked Viscoelastic Rectangular Plate Subjected to Tangential Follower Force
Zhong-min Wang,
Zhong-min Wang
School of Sciences,
Xi’an University of Technology
, Xi’an 710054, P.R.C.
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Yan Wang,
Yan Wang
School of Sciences,
Xi’an University of Technology
, Xi’an 710054, P.R.C.
Search for other works by this author on:
Yin-feng Zhou
Yin-feng Zhou
School of Sciences,
Xi’an University of Technology
, Xi’an 710054, P.R.C.
Search for other works by this author on:
Zhong-min Wang
School of Sciences,
Xi’an University of Technology
, Xi’an 710054, P.R.C.
Yan Wang
School of Sciences,
Xi’an University of Technology
, Xi’an 710054, P.R.C.
Yin-feng Zhou
School of Sciences,
Xi’an University of Technology
, Xi’an 710054, P.R.C.J. Appl. Mech. Nov 2008, 75(6): 061018 (12 pages)
Published Online: August 21, 2008
Article history
Received:
April 16, 2007
Revised:
March 27, 2008
Published:
August 21, 2008
Citation
Wang, Z., Wang, Y., and Zhou, Y. (August 21, 2008). "Dynamic Stability of Cracked Viscoelastic Rectangular Plate Subjected to Tangential Follower Force." ASME. J. Appl. Mech. November 2008; 75(6): 061018. https://doi.org/10.1115/1.2936927
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