Dynamic Behavior of a Thin Rectangular Plate Attached to a Moving Rigid

XIAO Shi-fu; CHEN Bin

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XIAO Shi-fu, CHEN Bin. Dynamic Behavior of a Thin Rectangular Plate Attached to a Moving Rigid[J]. Applied Mathematics and Mechanics, 2006, 27(4): 495-504.

Citation:

XIAO Shi-fu, CHEN Bin. Dynamic Behavior of a Thin Rectangular Plate Attached to a Moving Rigid[J]. Applied Mathematics and Mechanics, 2006, 27(4): 495-504.

Citation:

XIAO Shi-fu, CHEN Bin. Dynamic Behavior of a Thin Rectangular Plate Attached to a Moving Rigid[J]. Applied Mathematics and Mechanics, 2006, 27(4): 495-504.

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Dynamic Behavior of a Thin Rectangular Plate Attached to a Moving Rigid

XIAO Shi-fu¹,
CHEN Bin²

1.
Southwest Institute of Structural Mechanics, P. O. Box 919-401, Mianyang, Sichuan 621900, P. R. China;

Received Date: 2004-12-03
Rev Recd Date: 2005-12-19
Publish Date: 2006-04-15

Abstract

Abstract

A nonlinear dynamic model of a thin rectangular plate attached to a moving rigid is established by employing the general Hamilton.s variational principle.Based on the new model,both phenomena of dynamic stiffening and dynamic softening can occur in the plate was proved theoretically when the rigid undergoes different large overall motions including overall translational and rotary motions.It was also proved that dynamic softening effect even can make the trivial equilibrium of the plate lose its stability through bifurcation.Assumed modes method was employed to validate the theoretical result and analyze the approximately critical bifurcation value and the post-buckling equilibria.
- flexible multi-body system,
- dynamic stiffening,
- dynamic softening,
- stability,
- bifurcation,
- post-buckling

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References(19)

References

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