Symmetry Breaking and Symmetry Increasing in a Vibro-Impact with Symmetric Two-Sided Constraints
A three-degree-of-freedom vibro-impact system with symmetric two-sided constraints is considered. Existence conditions of the symmetric period -2 motion are given, and the symmetric period n-2 motion of the system is deduced analytically. The six dimensional Poincaré map is established, and the Jacobi matrix of the symmetrixc fixed point is obtained. By the numerical simulations, we show that symmetry breaking and symmetry increasing exists in the vibro-impact system with symmetric two-sided constraints.
Y. Yue and J. H. Xie, "Symmetry Breaking and Symmetry Increasing in a Vibro-Impact with Symmetric Two-Sided Constraints", Applied Mechanics and Materials, Vols. 66-68, pp. 229-234, 2011