Abstract
In this paper, we propose a stability analysis method for the period-1 solution in two-mass impact oscillators. First, we describe a dynamical model and its solution. Next, we define the Poincaré map and then we derive derivative of the Poincaré map. In particular, we explain the elements of the Jacobian matrix to perform the stability analysis numerically. Finally, we apply this method to a simple two-mass impact oscillator and confirm its validity.
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Amano, H., Asahara, H., Kousaka, T. (2014). A Stability Analysis Method for Period-1 Solution in Two-Mass Impact Oscillator. In: Mladenov, V.M., Ivanov, P.C. (eds) Nonlinear Dynamics of Electronic Systems. NDES 2014. Communications in Computer and Information Science, vol 438. Springer, Cham. https://doi.org/10.1007/978-3-319-08672-9_6
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DOI: https://doi.org/10.1007/978-3-319-08672-9_6
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08671-2
Online ISBN: 978-3-319-08672-9
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