Dynamic stability of rotating composite beams with a viscoelastic core

Abstract The dynamic stability of a rotating composite beam with a constrained damping layer subjected to axial periodic loads is studied by the finite element method. The unstable regions for simple and combination resonant frequencies are determined by applying Hsu’s procedure to the Mathieu equation. The effects of rotating speed, setting angle and hub radius ratio on the unstable regions are presented. The influences of core thickness ratio and core loss factor on the unstable regions are also studied. The regions of dynamic instability for various parameters are discussed. The rotating composite beam is more stable as the rotating speed, hub radius ratio, core thickness ratio and core loss factor increase. The rotating composite beam is more unstable at the large setting angle.

[1]  H. Saito,et al.  Parametric response of viscoelastically supported beams , 1979 .

[2]  Lien-Wen Chen,et al.  Dynamic stability of cracked rotating beams of general orthotropy , 1997 .

[3]  B.A.H. Abbas,et al.  Dynamic stability of a rotating Timoshenko beam with a flexible root , 1986 .

[4]  R. Ditaranto.  Theory of Vibratory Bending for Elastic and Viscoelastic Layered Finite-Length Beams , 1965 .

[5]  N. Ganesan,et al.  Finite element analysis of cylindrical shells with a constrained viscoelastic layer , 1994 .

[6]  K. Y. Sze,et al.  A finite element formulation for composite laminates with smart constrained layer damping , 2000 .

[7]  P. Cupiał,et al.  Vibration and damping analysis of a three-layered composite plate with a viscoelastic mid-layer , 1995 .

[8]  Chen Lien-Wen,et al.  Vibration and stability of cracked thick rotating blades , 1988 .

[9]  I. Y. Shen.  Stability and Controllability of Euler-Bernoulli Beams With Intelligent Constrained Layer Treatments , 1996 .

[10]  C. Hsu.  On the Parametric Excitation of a Dynamic System Having Multiple Degrees of Freedom , 1963 .

[11]  Suong V. Hoa,et al.  Vibration of a rotating beam with tip mass , 1979 .

[12]  G. Cederbaum,et al.  Stability Properties of a Viscoelastic Column Under a Periodic Force , 1992 .

[13]  K. Ray,et al.  The parametric instability of partially covered sandwich beams , 1996 .

[14]  D. J. Mead,et al.  The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions , 1969 .

[15]  Ji-Hwan Kim,et al.  Parametric instability of a cross-ply laminated beam with viscoelastic properties under a periodic force , 2001 .

[16]  B. C. Nakra.  VIBRATION CONTROL IN MACHINES AND STRUCTURES USING VISCOELASTIC DAMPING , 1998 .

[17]  D. K. Rao,et al.  Frequency and Loss Factors of Sandwich Beams under Various Boundary Conditions , 1978 .

[18]  Ozden O. Ochoa,et al.  Finite Element Analysis of Composite Laminates , 1992 .

[19]  Lien-Wen Chen,et al.  Dynamic Stability of Rotating Blades with Geometric Non-Linearity , 1995 .

[20]  S. Putter,et al.  Natural frequencies of radial rotating beams , 1978 .

[21]  R. C. Kar,et al.  Parametric instability of a sandwich beam under various boundary conditions , 1995 .

[22]  Carmelo E. Majorana,et al.  Dynamic stability of elastic structures: a finite element approach , 1998 .

[23]  T. Sakiyama,et al.  FREE VIBRATION ANALYSIS OF SANDWICH BEAM WITH ELASTIC OR VISCOELASTIC CORE BY APPLYING THE DISCRETE GREEN FUNCTION , 1996 .