振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2015年
15期
195-200
,共6页
振动%颤碰%周期运动%分岔%存在区域
振動%顫踫%週期運動%分岔%存在區域
진동%전팽%주기운동%분차%존재구역
vibration%chattering-impact%periodic motion%bifurcation%existence region
利用数值仿真方法，对一类两自由度含间隙弹性碰撞系统的动力学特性做了深入研究，分析了系统周期运动及其参数存在区域，并揭示了系统的颤碰运动特性。首先，详细分析了激振频率和系统间隙等关键参数对系统周期运动及存在区域的影响。其次，在小间隙低频工况下，数值计算了系统 p／1周期运动序列及其存在区域。最后，得出随着激振频率的递减，p／1运动的碰撞次数 p 因擦边分岔而逐一增加，当 p／1运动的碰撞次数 p 足够大时，系统呈现出颤碰特性，总结了系统由1／1周期运动到颤碰运动的转迁规律。
利用數值倣真方法，對一類兩自由度含間隙彈性踫撞繫統的動力學特性做瞭深入研究，分析瞭繫統週期運動及其參數存在區域，併揭示瞭繫統的顫踫運動特性。首先，詳細分析瞭激振頻率和繫統間隙等關鍵參數對繫統週期運動及存在區域的影響。其次，在小間隙低頻工況下，數值計算瞭繫統 p／1週期運動序列及其存在區域。最後，得齣隨著激振頻率的遞減，p／1運動的踫撞次數 p 因抆邊分岔而逐一增加，噹 p／1運動的踫撞次數 p 足夠大時，繫統呈現齣顫踫特性，總結瞭繫統由1／1週期運動到顫踫運動的轉遷規律。
이용수치방진방법，대일류량자유도함간극탄성팽당계통적동역학특성주료심입연구，분석료계통주기운동급기삼수존재구역，병게시료계통적전팽운동특성。수선，상세분석료격진빈솔화계통간극등관건삼수대계통주기운동급존재구역적영향。기차，재소간극저빈공황하，수치계산료계통 p／1주기운동서렬급기존재구역。최후，득출수착격진빈솔적체감，p／1운동적팽당차수 p 인찰변분차이축일증가，당 p／1운동적팽당차수 p 족구대시，계통정현출전팽특성，총결료계통유1／1주기운동도전팽운동적전천규률。
A 2-DOF system with clearance and soft impacts was considered.Its existence region of periodic motion and chattering-impact characteristics were analyzed with the numerical simulation method.Firstly,the influences of key parameters of the system,such as,exciting frequency and clearance on its existence region of periodic-impact motion were studied in detail.Secondly,the sequence of p/1 motion and its existence region under a small clearance and a low exciting frequency were investigated using numerical simulation.Finally,a series of grazing bifurcations occurred with decrease in exciting frequency so that the impact number p of p/1 motions correspondingly increased one by one.When the impact number p of p/1 motions became big enough,the chattering-impact characteristics appeared.The transition law from 1 /1 motion to chattering-impact motion via grazing bifurcation with decrease in exciting frequency was summarized explicitly.
