[期刊论文] 胡海岩,论线性系统的反共振问题,动力学与控制学报,2018, 16(5): 385-390.

发布者:孙加亮发布时间:2020-04-17浏览次数:600

论线性系统的反共振问题

胡海岩


摘要本文指出,现有文献对反共振现象的机理解释有若干不妥之处。针对简谐激励下的两自由度系统稳态振动,分析其反共振的机理,阐述了原点反共振、跨点反共振的机理差异,以及反共振与固有振型节点之间的关系。以两个相同弹簧支撑的刚性杆简谐受迫振动为例,详细说明了上述机理和关系。

关键词反共振, 机理, 振型节点, 两自由度系统


On ant-resonance problem of a linear system

Haiyan Hu

 

AbstractThis paper first points out that the mechanism of anti-resonances explained in many publications is not reasonable. Then, it presents the theoretical analysis on the anti-resonances of forced harmonic response for a system of two degrees of freedom, revealing the mechanism difference between the driving-point anti-resonance and the transfer anti-resonance, and the relationship between the anti-resonance and the node of a natural modeshape. Moreover, the paper demonstrates the above stated mechanism and relationship through a case study on the harmonically forced vibration of a rigid beam supported by two identical springs.

Keywordanti-resonance, mechanism, node of mode-shape, system of two degrees of freedom


原文链接:http://dlxykzxb.cnjournals.net/jdc/article/abstract/20180501?st=search