Inverse estimation of the elastic and anelastic properties of the porous frame of anisotropic open-cell foams.
This paper presents a method for simultaneously identifying both the elastic and anelastic properties of the porous frame of anisotropic open-cell foams. The approach is based on an inverse estimation procedure of the complex stiffness matrix of the frame by performing a model fit of a set of transfer functions of a sample of material subjected to compression excitation in vacuo. The material elastic properties are assumed to have orthotropic symmetry and the anelastic properties are described using a fractional-derivative model within the framework of an augmented Hooke's law. The inverse estimation problem is formulated as a numerical optimization procedure and solved using the globally convergent method of moving asymptotes. To show the feasibility of the approach a numerically generated target material is used here as a benchmark. It is shown that the method provides the full frequency-dependent orthotropic complex stiffness matrix within a reasonable degree of accuracy.
Marcus Wallenberg Laboratory for Sound and Vibration Research, Royal Institute of Technology (KTH), Teknikringen 8, SE-10044, Stockholm, Sweden. jcuenca@kth.se
Jacques
J
Cuenca
Peter
P
Göransson
D000162:Acoustics / Q000295:instrumentation*; D016880:Anisotropy; D003198:Computer Simulation; D055119:Elastic Modulus; D004867:Equipment Design; D008962:Models, Theoretical; D009622:Noise / Q000517:prevention & control*; D009716:Numerical Analysis, Computer-Assisted; D016062:Porosity