TITLE:
Finite Element Analysis of Sound Transmission Loss in One-Dimensional Solids
AUTHORS:
S. D. Yu, J. G. Kawall
KEYWORDS:
Finite Element Method; Sound Transmission Loss
JOURNAL NAME:
Open Journal of Acoustics,
Vol.3 No.4,
December
9,
2013
ABSTRACT:
A higher-order acoustic-displacement based finite element procedure
is presented in this paper to investigate one-dimensional sound
propagation through a solid and the associated transmission loss. The acoustic
system consists of columns of standard air and a solid, with the upstream
column of air subjected to a sinusoidal sound source. The longitudinal
wave propagation in each medium is modeled using three-node finite elements. At
the interfaces between the air and the solid medium, the continuity in acoustic
displacements and the force equilibrium conditions are enforced. The Lagrange
multipliers method is utilized to assemble the global equations of motion for
the acoustic system. Numerical results obtained for various test cases using
the procedure described in the paper are in excellent agreement with the
analytical solutions and other independent solutions available in the
literature.