OPTIMIZATION OF PASSIVE CONSTRAINED LAYER DAMPING TREATMENTS APPLIED TO COMPOSITE BEAMS

THE GEOMETRICAL OPTIMIZATION OF PASSIVE DAMPING TREATMENTS APPLIED TO LAMINATED COMPOSITE BEAMS IS PRESENTED, USING A SANDWICH/MULTILAYER BEAM FINITE ELEMENT MODEL. THE FREQUENCY DEPENDENCE OF THE VISCOELASTIC MATERIAL PROPERTIES IS MODELED USING ANELASTIC DISPLACEMENT FIELDS MODEL. A COMPLEX-BASED MODAL REDUCTION, FOLLOWED BY AN EQUIVALENT REAL REPRESENTATION, IS CONSIDERED. PASSIVE DAMPING TREATMENTS CONSISTING OF VISCOELASTIC LAYERS SANDWICHED BETWEEN TWO COMPOSITE LAYERS ARE STUDIED, WITH THE UPPER LAYER SERVING AS A CONSTRAINING LAYER (CL) AND THE LOWER ONE AS A SPACER (OR STAND-OFF) LAYER (SL). CL AND SL PLIES NUMBER, THICKNESS AND ORIENTATION ARE CONSIDERED AS DESIGN PARAMETERS AND ARE OPTIMIZED USING A GENETIC ALGORITHM WITH EIGENFREQUENCY CHANGES AND WEIGHT CONSTRAINTS. A STRATEGY FOR MULTICRITERIA OPTIMIZATION IS PRESENTED USING, AS PERFORMANCE INDICES, THE INTEGRAL OF TRANSVERSE VELOCITIES AND THE DAMPING FACTORS OF THE FIRST ¯VE EIGENMODES AND, AS PENALTY FUNCTIONS, THE TOTAL MASS AND THE VARIATION OF EIGENFREQUENCIES DUE TO THE TREATMENT. THE RESULTS SHOW THAT THE USE OF A GLOBAL COST FUNCTION ALLOWS TO IMPROVE THE DAMPING OF STRUCTURAL VIBRATIONS WHILE MINIMIZING STRUCTURE MODIFICATION DUE TO THE TREATMENT.

[1]  Roger Ohayon,et al.  PIEZOELECTRIC ACTIVE VIBRATION CONTROL OF DAMPED SANDWICH BEAMS , 2001 .

[2]  A. Smati,et al.  Optimal constrained layer damping with partial coverage , 1992 .

[3]  Roger Ohayon,et al.  Finite element modelling of hybrid active–passive vibration damping of multilayer piezoelectric sandwich beams—part I: Formulation , 2001 .

[4]  Ayech Benjeddou,et al.  Hybrid Active-Passive Damping Treatments Using Viscoelastic and Piezoelectric Materials: Review and Assessment , 2002 .

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

[6]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[7]  Daniel J. Inman,et al.  Using passive techniques for vibration damping in mechanical systems , 2000 .

[8]  Daniel J. Inman,et al.  Variations of hybrid damping , 1998, Smart Structures.

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

[10]  Christopher R. Houck,et al.  A Genetic Algorithm for Function Optimization: A Matlab Implementation , 2001 .

[11]  Roger Ohayon,et al.  Finite element analysis of frequency- and temperature-dependent hybrid active-passive vibration damping , 2000 .

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

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

[14]  E. Kerwin Damping of Flexural Waves by a Constrained Viscoelastic Layer , 1959 .

[15]  José J. de Espíndola,et al.  A generalised fractional derivative approach to viscoelastic material properties measurement , 2005, Appl. Math. Comput..

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

[17]  Peter J. Torvik,et al.  Fractional calculus in the transient analysis of viscoelastically damped structures , 1983 .

[18]  M. A. Trindade,et al.  Modeling of Frequency-Dependent Viscoelastic Materials for Active-Passive Vibration Damping , 2000 .

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

[20]  Mohan D. Rao,et al.  Vibration and Damping Analysis of a Sandwich Beam Containing a Viscoelastic Constraining Layer , 2005 .

[21]  Etienne Balmes,et al.  Analysis and design tools for structures damped by viscoelastic materials , 2002 .

[22]  Daniel J. Inman,et al.  Time-Varying Controller for Temperature-Dependent Viscoelasticity , 2005 .

[23]  D. J. Mead Passive Vibration Control , 1999 .

[24]  Mohan D. Rao,et al.  Recent applications of viscoelastic damping for noise control in automobiles and commercial airplanes , 2003 .

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

[26]  Hui Zheng,et al.  Optimization of partial constrained layer damping treatment for vibrational energy minimization of vibrating beams , 2004 .

[27]  F. Rochinha,et al.  Modelling and Identification of Viscoelastic Materials by Means of a Time Domain Technique , 2005 .

[28]  Valder Steffen,et al.  Sensitivity Analysis of Viscoelastic Structures , 2006 .