Finite Element Analysis for Damped Vibration Properties of Panels Laminated Porous Media

Authors: Y. Kurosawa, T. Yamaguchi

Abstract:

A numerical method is proposed to calculate damping properties for sound-proof structures involving elastic body, viscoelastic body, and porous media. For elastic and viscoelastic body displacement is modeled using conventional finite elements including complex modulus of elasticity. Both effective density and bulk modulus have complex quantities to represent damped sound fields in the porous media. Particle displacement in the porous media is discretised using finite element method. Displacement vectors as common unknown variables are solved under coupled condition between elastic body, viscoelastic body and porous media. Further, explicit expressions of modal loss factor for the mixed structures are derived using asymptotic method. Eigenvalue analysis and frequency responded were calculated for automotive test panel laminated viscoelastic and porous structures using this technique, the results almost agreed with the experimental results.

Keywords: Damping, Porous Media, Finite Element Method, Computer Aided Engineering.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1082109

References:

[1] Y. Kurosawa, H. Enomoto, T. Yamaguchi, and S. Matsumura, "Vibration Properties of Automotive Body Panels Laminating Damping Materials," Transactions of Japan Society of Mechanical Engineers, vol.69, 678C, 2003, pp. 2983-2990.
[2] Y. Kurosawa, T. Yamaguchi, and S. Matsumura, "Damped Vibration Response Analysis for Automotive Panels Laminating with Damping Materials and Porous Media," Transactions of Japan Society of Mechanical Engineers, vol.77, 776C, 2011, pp. 1191-1200.
[3] T. Yamaguchi, Y. Kurosawa, N. Sato, and S. Matsumura, "Vibration Characteristics of Damped Laminates Having Three-dimensional Shapes in Automotive Body Panels," Proceeding of the 17th International Congress on Acoustics, 2001.
[4] T. Yamaguchi, Y. Kurosawa, S. Matsumura, and A. Nomura, "Finite Element Analysis for Vibration Properties of Panels in Car Bodies Having Viscoelastic Damping Layer," Transactions of Japan Society of Mechanical Engineers, vol.69, 678C, 2003, pp. 297-303.
[5] S. Sato, T. Fujimori, and H. Miura, "Sound Absorbing Wedge Design Using Flow Resistance of Glass Wool," Journal of the Acoustical Society of Japan, vol.33, no.11, 1979, pp. 628-636.
[6] K. Ejima, T. Ishii, and S. Murai, "The Modal Analysis on the Acoustic Field," Journal of the Acoustical Society of Japan, vol.44, no.6, 1988, pp. 460-468.
[7] K. Yuge, R. Ejima, R. Udagawa, Y. Kishikawa, and K. kasai, "Sound Insulation Analysis of a Resin Using Viscoelastc Constitutive Equations," Transactions of Japan Society of Mechanical Engineers, vol.60, 570A, 1994, pp.535-552.
[8] H. Utsuno, T. Tanaka. and T. Fujikawa, "Transfer Function Method for Measuring Characteristic Impedance and Propagation Constant of Porous Materials," Journal of the Acoustical Society of America, vol.86, no.2, 1989, pp. 637-643.
[9] H. Utsuno, T. W. Wu., A. F. Seybert, and T. Tanaka, "Prediction of Sound Fields in Cavities with Sound Absorbing Materials," AIAA Journal, vol.28, no.11, 1990, pp.1870-1875.
[10] H. Utsuno, T. Tanaka, Y. Morisawa, and T. Yoshimura, "Prediction of Normal Sound Absorption Coefficient for Multi Layer Sound Absorbing Materials by Using the Boundary Element method," Transactions of Japan Society of Mechanical Engineers, vol.56, 532C, 1990, pp. 3248-3252.
[11] T. Yamaguchi, "Approximated Calculation to Damping Properties of a Closed Sound Field Involving Porous Materials (Proposal of a Fast Calculation Procedure for Modal Damping and Damped Response)," Transactions of Japan Society of Mechanical Engineers, vol.66, 648C, 2000, pp.2563-2569.
[12] T. Yamaguchi, Y. Kurosawa, and S. Matsumura, "Damped Analysis of 3D Acoustic Fields Involving Sound Absorbing Materials using FEM," Transactions of Japan Society of Mechanical Engineers, vol.66, 646C, 2000. pp.1842-1848.
[13] M. A. Biot, "Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid," Journal of the Acoustical Society of America, vol.28, no.2, 1955, pp. 168-178.
[14] Y.J.Kang, and S. Bolton, "Finite Element Modeling of isotropic Elastic Porous Materials Coupled with Acoustical Finite Elements," Journal of the Acoustical Society of America, vol.98, no.1, 1995, pp. 635-643.
[15] Y. Kagawa, T. Yamabuchi, and A. Mori, "Finite Element Simulation of an Axisymmetric Acoustic Transmission System with a Sound Absorbing Wall," Journal of Sound and Vibration, vol.53, no.3, 1977, pp. 357-374.
[16] B. A. MA, J. F. HE, "A Finite Element Analysis of Viscoelastically Damped Sandwich Plates," Journal of Sound and Vibration, vol.152, no.1, 1992, pp. 107-123.