Modeling of impulse propagation in 1D inhomogeneous granular lattices: the influence of boundary conditions

Authors: Gerasymov O., Spivak A.

Year: 2012

Issue: 14

Pages: 217-223


We perform the linearized equations governing the impulse propagation along a 1D weakly nonlinear inhomogeneous granular chain of identical beads. It has been sown that the rigorous solution which satisfy considered problem in every point (including boundaries) can be choose in form of linear combination of farmer basis which consist on Bessel function an integer order and valid in the internal points only. Obtained results thought to be useful practically for the more adequate parameterization of impulse transport in low dimensional granular chains.

Tags: dynamic systems; energy/impulse transport; granular materials; Hertzian contact; nonlinear chain


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