用旋转矢量法研究“拍”现象  

Study on"beat"Phenomenon with the Method of Rotating Vector

作　　者：苏未安[1] 陈秀洪[1] 

机构地区：[1]江西理工大学理学院,江西赣州341000

出　　处：《江西理工大学学报》2009年第1期60-63,共4页Journal of Jiangxi University of Science and Technology

摘　　要："拍"是自然界中的一类重要现象,在生活和工业生产中都有重要的应用.本文采用旋转矢量分析法得到了合成"拍"的统一公式,并详细的讨论初相差、振幅比β和频率比δ对"拍"现象产生的影响,采用数值分析的方法验证了讨论的结果,得到了要获得明显的"拍"现象的条件为:0.33<β<3.0且0.846≤δ<1或1<δ≤1.182.Beat is a very important phenomenon of nature and is useful in industry and daily life. In this paper, the beat phenomenon is studied with the method of rotating vector, and the effect of the frequency difference, amplitude ratio and phase difference of two simple harmonic upon the beat phenomenon are analyzed in detail.In addition, the research finds out the range of the frequency difference and amplitude radio of two simple harmonic vibrations which can produce clear beat phenomena.

关 键 词：“拍”现象 旋转矢量法 谐振动 振幅比 

分 类 号：O321[理学—一般力学与力学基础]