46 citations · 66 across the 11 of their papers we have counts for
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math-ph2012
D'Alembert sums for vibrating bar with viscous ends
Vojin Jovanovic, Sergiy Koshkin
We describe a new method for finding analytic solutions to some initial-boundary problems for partial differential equations with constant coefficients. The method is based on expa…
math-ph2011★ 46 cited
Synchronization of Huygens' clocks and the Poincare method
Vojin Jovanovic, Sergiy Koshkin
We study two models of connected pendulum clocks synchronizing their oscillations, a phenomenon originally observed by Huygens. The oscillation angles are assumed to be small so th…
math-ph2011★ 3 cited
Explicit solution for vibrating bar with viscous boundaries and internal damper
Vojin Jovanovic, Sergiy Koshkin
We investigate longitudinal vibrations of a bar subjected to viscous boundary conditions at each end, and an internal damper at an arbitrary point along the bar's length. The syste…