Finite element analysis of frequency- and temperature-dependent hybrid active-passive vibration damping

ABSTRACT A new finite element is formulated and used for the analysis of sandwich damped beams with laminate piezoelectric faces. The viscoelastic damping of the core is accounted for using three models, namely Golla-Hughes-McTavish, Anelastic Displacement Fields and Iterative Modal Strain Energy. Since the first two models increase much the system dimension, a modal reduction is proposed. The reduced models are then applied to the analysis of active constrained layer damping treatments of a cantilever beam, using a constrained input optimal control algorithm. Furthermore, the effect of temperature variations on the control performance is studied

[1]  Usik Lee,et al.  A finite element for beams having segmented active constrained layers with frequency-dependent viscoelastics , 1996 .

[2]  Etienne Balmes,et al.  Pseudo-modal representations of large models with viscoelastic behavior , 1998 .

[3]  Roger Ohayon,et al.  New Shear Actuated Smart Structure Beam Finite Element , 1999 .

[4]  Roger Ohayon,et al.  A Unified Beam Finite Element Model for Extension and Shear Piezoelectric Actuation Mechanisms , 1997 .

[5]  Roger Ohayon,et al.  Parametric Analysis of the Vibration Control of Sandwich Beams Through Shear-Based Piezoelectric Actuation , 1999 .

[6]  Roger Ohayon,et al.  Piezoelectric actuation mechanisms for intelligent sandwich structures , 2000 .

[7]  Wei-Hsin Liao,et al.  On the Active-Passive Hybrid Control Actions of Structures With Active Constrained Layer Treatments , 1997 .

[8]  Daniel J. Inman,et al.  Model reduction of viscoelastic finite element models , 1999 .

[9]  G. Lesieutre,et al.  Time Domain Modeling of Linear Viscoelasticity Using Anelastic Displacement Fields , 1995 .

[10]  D. Golla.  Dynamics of viscoelastic structures: a time-domain finite element formulation , 1985 .

[11]  Ayech Benjeddou,et al.  Advances in Hybrid Active-Passive Vibration and Noise Control Via Piezoelectric and Viscoelastic Constrained Layer Treatments , 2001 .

[12]  George A. Lesieutre,et al.  Finite element modeling of frequency-dependent and temperature-dependent dynamic behavior of viscoelastic materials in simple shear , 1996 .

[13]  P. Hughes,et al.  Modeling of linear viscoelastic space structures , 1993 .