Control of Near-Grazing Dynamics in the Two-Degree-of-Freedom Vibroimpact System with Symmetrical Constraints

Figure 4

Bifurcation diagram of a stable grazing bifurcation after control. (a) impact periodic motions based on the numerical simulation obtained by the discontinuity maps (38) and (39). (b) Direct numerical simulation on Poincaré section of impact periodic motions. (c) impact periodic motions based on the numerical simulation obtained by the discontinuity maps (38) and (39). (d) Direct numerical simulation on Poincaré section of impact periodic motions. (e) The codimension-two grazing bifurcation points based on the numerical simulation obtained by the discontinuity maps (38) and (39). (f) Direct numerical simulation on Poincaré section of the codimension-two grazing bifurcation points.

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