Modelling of pile wave barriers by effective trenches and their screening effectiveness

Abstract The three-dimensional problem of isolation of vibration by a row of piles is studied numerically on the basis of a model replacing the row of piles by an effective trench in order to reduce the modelling complexity. The analysis is accomplished with the aid of an advanced frequency domain boundary element method, which is used for both the infilled trench and the soil medium in conjunction with a coupling procedure based on enforcement of equilibrium and compatibility at the trench–soil interface. Linear elastic or viscoelastic material behaviour is assumed for both the piles and the soil. The piles can be tubular or solid and have circular or square cross-section. The vibration source is a vertical force, harmonically varying with time, and the row of piles acts as a passive wave barrier. The effective trench model is constructed by invoking well known homogenization techniques used in the mechanics of fibre-reinforced composite materials, and its accuracy is compared against a rigorous boundary element analysis modelling each pile separately in full contact with the soil medium. On the basis of the effective trench model, the screening effectiveness of a row of piles is studied through parametric studies.

[1]  Demosthenes Polyzos,et al.  Vibration isolation by a row of piles using a 3‐D frequency domain BEM , 1999 .

[2]  O. Huber,et al.  Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals , 1993 .

[3]  Dimitri E. Beskos,et al.  Boundary Element Methods in Dynamic Analysis: Part II (1986-1996) , 1997 .

[4]  Hidenori Murakami,et al.  A Mixture Model for Unidirectionally Fiber-Reinforced Composites , 1986 .

[5]  V. Mantič A new formula for the C-matrix in the Somigliana identity , 1993 .

[6]  Francisco J. Sánchez-Sesma,et al.  Piles as Barriers for Elastic Waves , 1983 .

[7]  N. E. Barnett,et al.  Holography - a new tool for soil dynamics : 13F, 11R. J. GEOTECH. ENGNG DIV. ASCE, V100, GT11, NOV. 1974, P1231–1247 , 1975 .

[8]  Richard D. Woods,et al.  HOLOGRAPHY--A NEW TOOL FOR SOIL DYNAMICS , 1974 .

[9]  Jan Drewes Achenbach WAVES AND VIBRATIONS IN DIRECTIONALLY REINFORCED COMPOSITES. , 1974 .

[10]  Massimo Guiggiani Computing principal-value integrals in 3-D BEM for time-harmonic elastodynamics―a direct approach , 1992 .

[11]  Dimitri E. Beskos,et al.  Boundary Element Methods in Dynamic Analysis , 1987 .

[12]  Suhol Bu,et al.  INFINITE BOUNDARY ELEMENTS FOR THE DYNAMIC ANALYSIS OF MACHINE FOUNDATIONS , 1997 .

[13]  Dwight A. Sangrey,et al.  USE OF PILES AS ISOLATION BARRIERS , 1978 .

[14]  N. J. Pagano,et al.  The Role of Effective Moduli in the Elastic Analysis of Composite Laminates , 1994 .

[15]  Cai Rui-Ying,et al.  Partitioning technique for boundary element method , 1991 .

[16]  Francisco J. Sánchez-Sesma,et al.  Foundation Isolation from Vibrations Using Piles as Barriers , 1988 .

[17]  D. Beskos,et al.  Boundary Element Methods in Elastodynamics , 1988 .

[18]  E. Sanchez-Palencia Non-Homogeneous Media and Vibration Theory , 1980 .