E3S Web Conf.
Volume 97, 2019XXII International Scientific Conference “Construction the Formation of Living Environment” (FORM-2019)
|Number of page(s)||7|
|Section||Safety in Construction|
|Published online||29 May 2019|
On degeneracy of dispersive waves at the bulk wave velocities
Moscow State University of Civil Engineering, Yaroslavsckoe sh. 26, Moscow, Russia
2 Ishlinsky Institute for Problems in Mechanics RAS, Pr. Vernadskogo 101, Moscow, Russia
3 Bauman Moscow State Technical University, 2 nd Institutskaya 5, Moscow, Russia
* Corresponding author: firstname.lastname@example.org
Degeneracy of the linear dispersion wave equation at the phase velocities coinciding with the bulk wave velocities is observed and analysed. Spectral analysis of Pochhammer – Chree equation is performed. The corrected analytical solutions for components of the displacement fields are constructed, accounting degeneracy of the secular equations and the corresponding solutions.
© The Authors, published by EDP Sciences, 2019
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