Propagation of longitudinal Pochhammer _ Chree waves in cylindrical piles

21st International Scientific Conference on Advanced in Civil Engineering "Construction - The Formation of Living Environment"

土木建筑工程

Ilyashenko, Alla^1 ; Kuznetsov, Sergey^2

Moscow State University of Civil Engineering, Yaroslavskoe shosse 26, Moscow

129337, Russia^1

Institute for Problems in Mechanics, Moscow

119526, Russia^2

关键词: Analytical expressions;    Axially symmetric;    Cylindrical piles;    Dispersion equations;    Displacement field;    Pochhammer-Chree equations;    Propagating wave modes;    Shear wave velocity;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/365/4/042014/pdf
DOI  :  10.1088/1757-899X/365/4/042014

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

The exact solutions of the linear Pochhammer - Chree equation for propagating harmonic waves in cylindrical piles, are analysed and reviewed emphasizing the role of both propagating and non-propagating wave modes. The notion of limiting wave velocities for the Pochhammer - Chree waves is discussed. Spectral analysis of the matrix dispersion equation for longitudinal axially symmetric modes of the Pochhammer - Chree waves is performed, revealing existence of the non-propagating mode at the phase velocity coinciding with the c2 shear wave velocity. Analytical expressions for displacement fields are derived for both interior and exterior domains.