THREE-DIMENSIONAL MODELING OF PENDULUM WAVES PROPAGATION UNDER DYNAMIC LOADING OF UNDERGROUND EXCAVATION SURFACE
N. I. Aleksandrova
Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: Блочная среда, волновое движение, полупространство, полость, численное моделирование, вязкоупругое деформирование, Block medium, wave motion, half-space, cavity, numerical simulation, viscoelastic deformation
Abstract
The propagation of surface pendulum waves under nonstationary loading on the free surface of a cavity located in a block half-space is studied numerically. A mathematical model of transient viscoelastic deformation of the block medium is proposed. This model is based on the idea that dynamic behavior of the block medium can be approximately described as the movement of rigid blocks due to the compliance of interlayers between them. To describe the viscoelastic behavior of the interlayers, an internal friction model is used with the merit factor of the material as the determining parameter. The medium is modeled by a three-dimensional lattice of masses connected by elastic springs and viscous dampers in axial and diagonal directions. The influence of the merit factor and the cavity depth on the amplitudes of block velocities on the surface of the half-space is investigated for the longitudinal and Rayleigh waves.
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