Analogous relationship between the solutions of non-homogeneous foundation and homogeneous foundation: elastic wave velocity

doi:10.16285/j.rsm.2020.1289

CORC > 兰州理工大学 > 兰州理工大学 > 土木工程学院

	Analogous relationship between the solutions of non-homogeneous foundation and homogeneous foundation: elastic wave velocity
	Zhou Feng-xi 1,2; Zhou Zhi-xiong 1; Liu Hong-bo 3
刊名	ROCK AND SOIL MECHANICS
	2021-04-12
卷号	42 期号:4 页码:892-898
关键词	non-homogeneous foundation phase velocity group velocity analogous relationship analytical solution
ISSN号	1000-7598
DOI	10.16285/j.rsm.2020.1289
英文摘要	Considering the physical and mechanical properties change continuously along the depth in non-homogeneous foundation, the linear transformative relationship is analyzed between the phase velocity and group velocity of the inhomogeneous elastic body waves and the solution of corresponding homogeneous elastic foundation. Firstly, based on the basic equations of elastodynamics, the analytical expressions for the phase velocity and group velocity of the planar elastic body waves in any non-uniformly changing foundation are obtained. Compared with the classical solution of the elastic wave phase velocity of the homogeneous foundation, it is found that the solution of the non-homogeneous foundation can be expressed linearly with the solution of the homogeneous foundation, thus the similarity conversion between the two solutions is obtained. At last, as a numerical example, considering the power law relationship of material properties change continuously along the thickness in the non-homogeneous foundation, the influence of foundation non-uniformity, Poisson's ratio and phase angle on the similarity conversion coefficients is analyzed. The calculation results show that, with the help of the classical solution of elastic wave velocity in homogeneous foundation, the solution of wave velocity in non-homogeneous foundation can be converted into the calculation of the similarity conversion coefficients, thereby simplifying the solution process.
WOS研究方向	Engineering
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000664861700002
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148825]
专题	土木工程学院
作者单位	1.Lanzhou Univ Technol, Sch Civil Engn, Lanzhou 730050, Gansu, Peoples R China; 2.Lanzhou Univ Technol, Western Engn Res Ctr Disaster Mitigat Civil Engn, Lanzhou 730050, Gansu, Peoples R China; 3.Tianjin Univ, Sch Civil Engn, Tianjin 300072, Peoples R China
推荐引用方式 GB/T 7714	Zhou Feng-xi,Zhou Zhi-xiong,Liu Hong-bo. Analogous relationship between the solutions of non-homogeneous foundation and homogeneous foundation: elastic wave velocity[J]. ROCK AND SOIL MECHANICS,2021,42(4):892-898.
APA	Zhou Feng-xi,Zhou Zhi-xiong,&Liu Hong-bo.(2021).Analogous relationship between the solutions of non-homogeneous foundation and homogeneous foundation: elastic wave velocity.ROCK AND SOIL MECHANICS,42(4),892-898.
MLA	Zhou Feng-xi,et al."Analogous relationship between the solutions of non-homogeneous foundation and homogeneous foundation: elastic wave velocity".ROCK AND SOIL MECHANICS 42.4(2021):892-898.