Abstract (EN):
Abstract: This is the first of two companion articles addressing an integrated study on
the mathematical modeling and assessment of the efficiency of surface mounted or embedded
viscoelastic damping treatments, typically used to reduce structural vibration and/or noise radiation
from structures, incorporating the adequate use and development of viscoelastic (arbitrary
frequency dependent) damping models, along with their finite element (FE) implementation,
and the experimental identification of the constitutive behavior of viscoelastic materials. This
first article (Part I) is devoted to the development of mathematical descriptions of material
damping to represent the linear viscoelastic constitutive behavior, their implementation into
FE formulations and the use of the underlying different solution methods. To this end, internal
variables models, such as the Golla-Hughes-McTavish (GHM) and anelastic displacement fields
(ADF) models, and other methods such as the direct frequency response (DFR), based on
the complex modulus approach (CMA), iterative modal strain energy (IMSE) and an approach
based on an iterative complex eigensolution (ICE) are described and implemented at the global
FE model level. The experimental identification of viscoelastic materials properties and the
aforementioned viscoelastically damped FE modeling approaches are assessed and validated
in the companion article [Vasques, C.M.A. et al., Viscoelastic damping technologies–Part
II: Experimental identification procedure and validation, Journal of Advanced Research in
Mechanical Engineering 1(2): 96-110 (2010)].
Keywords: Finite element, damping, viscoelastic, complex modulus, internal variables.
Language:
English
Type (Professor's evaluation):
Scientific