摘要
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。
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.
出处
《振动与冲击》
EI
CSCD
北大核心
2015年第11期116-121,共6页
Journal of Vibration and Shock
基金
国家自然科学基金(51375109)
哈尔滨工业大学科研创新基金(HIT.NSRIF.2014027)
关键词
非线性能量阱
定向能量传递
立方刚度
阻尼约束
振动抑制
nonlinear energy sink
targeted energy transfer
cubic stiffness
damping conditions
vibration suppres-sion