Vibration transmission between coupled plates using finite element methods and statistical energy analysis. Part 1: Comparison of measured and predicted data for masonry walls with and without apertures

Abstract In Part 1 of this paper a study is made to assess the prediction of vibration transmission between masonry walls using Finite Element Methods (FEM) and Statistical Energy Analysis (SEA) through a comparison of measured and predicted data. Masonry walls typically have low modal overlap and low modal density at low frequencies, hence FEM is used to predict the large fluctuations in the vibration level difference. The issue of uncertainty in the physical description of masonry walls is addressed by using Monte Carlo methods with FEM. Two types of masonry wall junction are studied, an L-junction and a T-junction. The importance of in-plane wave transmission was demonstrated for L-junctions with apertures and T-junctions. The agreement between FEM, SEA and measured data at high frequencies indicated that the conversion between bending and in-plane waves in the FEM models was correct.

[1]  Adnan D. Mohammed,et al.  A study of uncertainty in applications of sea to coupled beam and plate systems, part I: Computational experiments , 1992 .

[2]  Robert J.M. Craik,et al.  Statistical Energy Analysis Of Structure-borne Sound Transmission By Finite Element Methods , 1994 .

[3]  Carl Hopkins,et al.  Structure-borne sound transmission between coupled plates , 2000 .

[4]  Robert J.M. Craik,et al.  Statistical energy analysis of structure-borne sound transmission at low frequencies , 1991 .

[5]  C. Hopkins STATISTICAL ENERGY ANALYSIS OF COUPLED PLATE SYSTEMS WITH LOW MODAL DENSITY AND LOW MODAL OVERLAP , 2002 .

[6]  Robert J.M. Craik,et al.  Sound Transmission Through Buildings: Using Statistical Energy Analysis , 1996 .

[7]  W. Wöhle,et al.  Coupling loss factors for statistical energy analysis of sound transmission at rectangular structural slab joints, part II , 1981 .

[8]  C. L. Dym Literature Review : STRUCTURE-BORNE SOUND L. Cremer and M. Heckl Translated and Revised by E. E. Ungar Springer-Verlag, New York, N.Y. (1973) , 1974 .

[9]  Carl Hopkins Measurement of the Vibration Reduction Index, Kij on Free-Standing Masonry Wall Constructions , 1999 .

[10]  F. F. Yap,et al.  Investigation of damping effects on statistical energy analysis of coupled structures , 1996 .

[11]  C. Simmons Structure-borne sound transmission through plate junctions and estimates of sea coupling loss factors using the finite element method , 1991 .

[12]  Barry Gibbs,et al.  Sound transmission and mode coupling at junctions of thin plates, part I: Representation of the problem , 1981 .

[13]  B. Gibbs,et al.  Application of a finite-element model to low-frequency sound insulation in dwellings. , 2000, The Journal of the Acoustical Society of America.

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