浅析分数的最小公倍数与次谐共振  

A Brief Discussion on the Least Common Multiple and Harmonic of Fraction

作　　者：张捍卫[1] 胡瑞生[1] 王文均[1] 

机构地区：[1]河南理工大学测绘学院,河南焦作454000

出　　处：《太原科技》2008年第9期88-89,91,共3页Taiyuan Science and Technology

基　　金：国家自然科学基金资助项目(40674013)

摘　　要：通过分析分数的最小公倍数定义,引出了分数最小公倍数的计算公式,使得最小公倍数的概念扩充到实数范围。同时,利用最小公倍数理论,不仅能够反映次谐共振的特征,找到大型发电机转子断裂的原因,而且对次谐波传动等现代机械设计也有实用价值。Through analyzing the concept of the least common multiple of fraction, we gave the formula computation of the least common multiple of fraction, and made the concept of the least common multiple extend to real numbers. Using the concept of least common multiple, we could not only find the unknown cause of crack of large-sized generator＇ s rotor, but also have some practical values on modem mechanical design such as sub harmonic transmission.

关 键 词：最小公倍数 非线性振动 次谐波 次谐共振 机械传动 

分 类 号：O141.2[理学—数学]