Dynamics of fragmented geomaterials with rotations

M. Khudyakov, E. Pasternak, A. V. Dyskin

Research output: Chapter in Book/Conference paperConference paperpeer-review


An important feature of fragmented geomaterials and fragmented structures is the possibility of mutual rotations of the fragments leading to rotational oscillations. In the process of the oscillations, the fragments impact each other. Partial restitution of the impacts causes dissipation of kinetic energy into heat. This dynamics can be reproduced mathematically using a linear oscillator, i.e. a single mass connected to a stationary object by a linear spring, coupled with a condition on energy dissipation occurring at the neutral points (zero force, maximum velocity) of the mass trajectory. As a result of the presence of energy dissipation, which is characterised by a restitution coefficient, this linear system is converted into nonlinear. Our numerical modelling reveals that the system demonstrates chaotic behaviour in some values of the restitution coefficient, a ratio of the force frequency to the natural frequency and the initial phase. The conditions of non-chaotic and chaotic behaviour are formulated. The obtained results will be used for modelling energy absorption in oscillations and wave propagation in fragmented geomaterials and structures.
Original languageEnglish
Title of host publication9th Australasian Congress on Applied Mechanics (ACAM9)
Place of PublicationSydney
PublisherEngineers Australia
ISBN (Electronic)9781925627022
Publication statusPublished - 2017
Event9th Australasian Congress on Applied Mechanics - https://acam9.com.au/, Sydney, Australia
Duration: 27 Nov 201729 Nov 2017

Publication series

Name9th Australasian Congress on Applied Mechanics, ACAM 2017


Conference9th Australasian Congress on Applied Mechanics
Abbreviated titleACAM9


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