Vibration Isolation Analysis of Foundation under Harmonic Load using the FEM with PML

Kuankuan Chen

《International Core Journal of Engineering》 9卷5期 (2023/05) Pp. 249-257

https://doi.org/10.6919/ICJE.202305_9(5).0029

摘要

A wave impeding block (WIB) vibration isolation barrier for foundation vibration isolation control is proposed, and its vibration isolation performance is numerically analyzed. Firstly, the control equation of the perfectly matched layer (PML) absorbing boundary is established in the frequency domain by using the complex coordinate stretching transformation. Secondly, using the Galerkin approximation technique, the frequency domain finite element formulation of the second‐order non‐splitting scheme PML with displacement as the basic unknown is given. Finally, the effects of modulus ratio, length, and load frequency on the vibration isolation performance of the WIB vibration isolation barrier are analyzed by numerical examples. The results show that the WIB vibration isolation barrier can effectively control the ground vibration caused by different frequency vibration sources.

關鍵字

Wave Impeding Block ； Perfectly Matched Layer ； Finite Element ； Vibration Isolation

參考文獻

Chouw N, Le R, Schmid G. Propagation of vibration in a soil layer over bedrock [J]. Engineering Analysis with Boundary Elements, 1991, 8(3): 125-131.

Schmid G, Chouw N, Le R. Shielding of structures from soil vibrations [J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 1993, 30(4):651-662.

Takemiya H, Fujiwara A. Wave propagation/impediment in a stratum and wave impeding block (WIB) measured for SSI response reduction [J]. Soil Dynamics and Earthquake Engineering, 1994, 13(1):49-61.

Takemiya H. Field Vibration Mitigation by Honeycomb WIB for Pile Foundations of a High-speed Train Viaduct [J]. Soil Dynamics and Earthquake Engineering.2004, 24(1):69-87.

Peplow A T, Jones C, Petyt M. Surface vibration propagation over a layered elastic half-space with an inclusion [J]. Applied Acoustics, 1999, 56(4):283-296.