Estimation of the loss factor of viscoelastic laminated panels from finite element analysis

A wave finite element (WFE) method is applied for predicting wave dispersion, wave attenuation and dissipation in viscoelastic laminated panels. The method involves postprocessing (using periodic structure theory) of element matrices of a small segment of the structure, which is modelled using a stack of three-dimensional finite elements meshed through the cross-section. Each layer can be discretised using either one solid element or more solid elements in order to more accurately represent interlaminar stress and strain. The finite element model of the segment of the structure is typically very small, resulting in very small computation cost. Formulations for the evaluation of the global loss factor using the WFE approach are given. In particular a formulation to calculate the average loss factor in the general case of an anisotropic component is proposed. Numerical examples are then shown. These concern the evaluation of the dispersion curves and of the global loss factor for damped laminated panels of different constructions.

[1]  B. Mace,et al.  Modelling wave propagation in two-dimensional structures using finite element analysis , 2008 .

[2]  Dimitris A. Saravanos,et al.  High‐order layerwise finite element for the damped free‐vibration response of thick composite and sandwich composite plates , 2009 .

[3]  E. E. Ungar,et al.  Structure-borne sound , 1974 .

[4]  Conor D. Johnson,et al.  Finite Element Prediction of Damping in Structures with Constrained Viscoelastic Layers , 1981 .

[5]  Elisabetta Manconi,et al.  Wave characterization of cylindrical and curved panels using a finite element method. , 2009, The Journal of the Acoustical Society of America.

[6]  Shih-Wei Kung,et al.  Vibration analysis of beams with multiple constrained layer damping patches , 1998 .

[7]  P. J. Shorter,et al.  Wave propagation and damping in linear viscoelastic laminates , 2004 .

[8]  WAVE APPROACH MODELING OF SANDWICH AND LAMINATE COMPOSITE STRUCTURES WITH VISCOELASTIC LAYERS , 2007 .

[9]  E. E. Ungar,et al.  Loss Factors of Viscoelastic Systems in Terms of Energy Concepts , 1962 .

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

[11]  M. Brennan,et al.  Finite element prediction of wave motion in structural waveguides. , 2005, The Journal of the Acoustical Society of America.

[12]  S. Finnveden Evaluation of modal density and group velocity by a finite element method , 2004 .

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

[14]  Per G. Reinhall,et al.  An Analytical Model for the Vibration of Laminated Beams Including the Effects of Both Shear and Thickness Deformation in the Adhesive Layer , 1986 .

[15]  A. H. Nayfeh,et al.  Damping Characteristics of Laminated Thick Plates , 1997 .

[16]  Dr. M. G. Worster Methods of Mathematical Physics , 1947, Nature.

[17]  Vincent Cotoni,et al.  A statistical energy analysis subsystem formulation using finite element and periodic structure theory , 2008 .

[18]  Chris Jones,et al.  Mode count and modal density of structural systems: Relationships with boundary conditions , 2004 .

[19]  B. C. Nakra,et al.  Vibrations of unsymmetrical sandwich beams and plates with viscoelastic cores , 1974 .

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

[21]  L. Brillouin,et al.  Wave Propagation in Periodic Structures , 1946 .