本文用福洛开理论和多尺度方法，分别研究了其稳定域范围和引起倍频振动的各种因素。
The reason is analysed by use of Floquet theory and multiple scales method in the paper.
轧机第五倍频程颤振表现为高频微幅的自激稳态振动。
Fifth-octave mode chatter is most likely to occur in the form of self-excited steady vibration.
利用双晶片的弯曲振动模式可以制造出结构简单、成本低廉的电声倍频器、混频器，可适用于整个低频范围。
Useing the bimorph bend vibration mould, a simple and low cost electroacoustic doubler and mixer available for overall low frequency band can be produced.
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