کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759815 896494 2008 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Periodic-impact motions and bifurcations of vibro-impact systems near 1:4 strong resonance point
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Periodic-impact motions and bifurcations of vibro-impact systems near 1:4 strong resonance point
چکیده انگلیسی

Two typical vibro-impact systems are considered. The periodic-impact motions and Poincaré maps of the vibro-impact systems are derived analytically. A center manifold theorem technique is applied to reduce the Poincaré map to a two-dimensional one, and the normal form map associated with 1:4 strong resonance is obtained. Two-parameter bifurcations of fixed points in the vibro-impact systems, associated with 1:4 strong resonance, are analyzed. The results from simulation illustrate some interesting features of dynamics of the vibro-impact systems. Some complicated bifurcations, e.g., tangent, fold and Neimark–Sacker bifurcations of period-4 orbits are found to exist near the 1:4 strong resonance points of the vibro-impact systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 13, Issue 5, July 2008, Pages 1002–1014
نویسندگان
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