论文信息 - A Timoshenko beam with tip body and boundary damping

A Timoshenko beam with tip body and boundary damping

In this paper we consider the effect of boundary damping on a cantilevered Timoshenko beam with a rigid body attached to the free end. We establish the efficiency and accuracy of the finite element method for calculating the eigenvalues and eigenmodes. Although no conclusion could be drawn with regard to the stabilization of the system, interesting phenomena concerning the damped vibration spectrum and the associated eigenmodes are discussed.

[1] K. Weiss. Vibration Problems in Engineering , 1965, Nature.

[2] L. Markus,et al. Stabilization of a hybrid system of elasticity by feedback boundary damping , 1988 .

[3] Marianna A. Shubov,et al. Asymptotic and Spectral Analysis of the Spatially Nonhomogeneous Timoshenko Beam Model , 2002 .

[4] T. Huang,et al. The Effect of Rotatory Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions , 1961 .

[5] Walter Littman,et al. Exact boundary controllability of a hybrid system of elasticity , 1988 .

[6] B. Rao. Stabilisation uniforme d'un système hybride en élasticité , 1993 .

[7] A. Krall,et al. Modeling stabilization and control of serially connected beams , 1987 .

[8] Matthew P. Coleman,et al. Analysis of vibration spectrum of a Timoshenko beam with boundary damping by the wave method , 1993 .

[9] Andres Soom,et al. Mechanical Vibration Analysis and Computation , 1989 .

[10] Nathan Ida,et al. Introduction to the Finite Element Method , 1997 .

[11] A. J. van der Merwe,et al. Natural frequencies and modes of a Timoshenko beam , 2006 .

[12] Marié Grobbelaar-Van Dalsen,et al. BOUNDARY STABILIZATION FOR THE EXTENSIBLE BEAM WITH ATTACHED LOAD , 1999 .

[13] Jianxin Zhou,et al. Vibration and damping in distributed systems , 1993 .

[14] Y. Fung. Foundations of solid mechanics , 1965 .

[15] J. U. Kim,et al. Boundary control of the Timoshenko beam , 1987 .