Open AccessStudying the interaction of a reservoir with an ideal compressible fluid with an elastic half-space
Author(s) -
I.S. Telyatnikov,
А. В. Павлова,
S.E. Rubtsov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2099/1/012032
Subject(s) - compressibility , vibration , space (punctuation) , half space , harmonic , factorization , kernel (algebra) , amplitude , perfect fluid , range (aeronautics) , mechanics , mathematical analysis , mathematics , ideal (ethics) , physics , classical mechanics , computer science , engineering , acoustics , optics , philosophy , epistemology , algorithm , combinatorics , aerospace engineering , operating system
We solve in a flat formulation the problem of harmonic oscillations for a basin with an ideal compressible fluid on an elastic half-space exposed to a localized surface vibration load. The problem reduces to an integral equation (IE) of the first kind for the amplitude of the contact hydrodynamic pressure with a kernel that depends on the difference and the sum of arguments. The IE was solved by the factorization method. A semi-analytical method is presented for determining the main parameters of the contact interaction in hydroelastic systems «liquid-soil» taking into account the effect of natural and man-made vibration loads on them. This makes it possible to identify the conditions for the occurrence of dynamic modes that are dangerous for the construction integrity and to estimate their frequencies range depending on defining characteristics of the system.