Paper number 393

DYNAMIC STABILITY OF A COMPOSITE CANTILEVER BEAM WITH VISCOELASTIC PROPERTIES UNDER A FOLLOWER FORCE

Tae-Woo Kim1, Ji-Hwan Kim1

1Department of Aerospace Engineering, Seoul National University
San 56-1, Shinrim-Dong, Kwanak-Ku, Seoul, 151-742, Korea

Summary The dynamic stability of a composite beam is analyzed numerically considering viscoelastic properties of the material. For the analysis, a cantilever beam made of unidirectional composites under a follower force is taken. Assuming the first order shear deformation, the equations of motion are derived from the Hamilton's principle and then the eigenvalue problem is formulated by applying the finite element method wherein the solution is sought through the substitution method. The stability characteristics in which the effect of viscoelasticity is incorporated are investigated according to the geometric conditions, and the intensity of instability is shown through the time responses.
Keywords dynamic stability, viscoelasticity, composite beam, first order shear deformation, Hamilton's principle, Boltzmann's superposition principle, finite element method, substitution method, critical load.

Theme : Composite Structures ; Simulation

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