湖南大学学报（自然科学版）2016，Vol.43Issue(4)：38-43,6.
振动落砂机系统的拟周期碰撞设计∗
Design of Quasi-periodic Impact Motion of an Impact Shaker System
摘要
Abstract
The Poincarémap of periodic motion was established,and the bifurcation diagram of two pa-rameters was obtained by using an explicit critical criterion without using eigen values when the difficulties caused by the classical Neimark-Sacker bifurcation critical criterion described by the properties of eigenval-ues were considered.The bifurcation diagram helps to proactively design the quasi-periodic impact motion of the system.Then,the stability of the quasi-periodic impact motion was further analyzed by utilizing the center manifold and normal formal theory.Finally,numerical experiments verify that the stable quasi-peri-odic impact motion can be generated at chosen parameters points.关键词
落砂机/冲击振动/Neimark-Sacker分岔/拟周期碰撞运动/稳定性Key words
shaker system/impact vibration/Neimark-Sacker bifurcation/quasi-periodic impact mo-tion/stability分类
数理科学引用本文复制引用
伍新,桂林,何莉萍,徐慧东,魏克湘..振动落砂机系统的拟周期碰撞设计∗[J].湖南大学学报（自然科学版）,2016,43(4):38-43,6.基金项目
国家杰出青年科学基金资助项目(11225212) （11225212）
国家自然科学基金资助项目(11172100,11002052),National Natural Science Foundation of China(11172100,11002052) （11172100,11002052）
湖南省自然科学基金资助项目(2016JJ4027) （2016JJ4027）
