振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2015年
11期
116-121
,共6页
非线性能量阱%定向能量传递%立方刚度%阻尼约束%振动抑制
非線性能量阱%定嚮能量傳遞%立方剛度%阻尼約束%振動抑製
비선성능량정%정향능량전체%립방강도%조니약속%진동억제
nonlinear energy sink%targeted energy transfer%cubic stiffness%damping conditions%vibration suppres-sion
研究了耦合非线性能量阱的非保守系统的定向能量传递现象。基于复变量平均法推导含有阻尼参数的系统慢变方程,求解出系统能量与各参数近似关系,获得了系统能够实现定向能量传递时阻尼必须满足的条件,并给出了非线性能量阱具有吸振能力时线性振子阻尼有效范围,最后数值分析验证上述研究结果。
研究瞭耦閤非線性能量阱的非保守繫統的定嚮能量傳遞現象。基于複變量平均法推導含有阻尼參數的繫統慢變方程,求解齣繫統能量與各參數近似關繫,穫得瞭繫統能夠實現定嚮能量傳遞時阻尼必鬚滿足的條件,併給齣瞭非線性能量阱具有吸振能力時線性振子阻尼有效範圍,最後數值分析驗證上述研究結果。
연구료우합비선성능량정적비보수계통적정향능량전체현상。기우복변량평균법추도함유조니삼수적계통만변방정,구해출계통능량여각삼수근사관계,획득료계통능구실현정향능량전체시조니필수만족적조건,병급출료비선성능량정구유흡진능력시선성진자조니유효범위,최후수치분석험증상술연구결과。
Here,targeted energy transfer was investigated in a non-conservative system with nonlinear energy sinks.Firstly,the system slowly-varying equation containing damping parameters was derived based on the complex-averaging method.Then,the approximate relationships between the system energy and parameters were solved,the necessary conditions satisifed by damping to realize system's targeted energy transfer were achieved.The effective range of a linear oscillator's damping during nonlinear energy sinks having the capacity of vibration suppression was gained.At last,the above study results were verified with numerical simulations.