余弦齿轮的有限元模态分析  

The Finite Element Modal Analysis of the Cosine Gear

作　　者：陈磊[1] 罗善明[1] 王建[1] 陈立锋[1] 胡华荣[1] 

机构地区：[1]湖南科技大学机电工程学院,湖南湘潭411201

出　　处：《机械传动》2009年第3期7-10,共4页Journal of Mechanical Transmission

基　　金：国家自然科学基金(50575071);湖南省杰出青年基金(06JJ10008)资助项目

摘　　要：以一种新型齿轮——余弦齿轮为研究对象,运用三维造型软件Pro/E建立了余弦齿轮的实体模型。运用有限元分析软件ANSYS对余弦齿轮进行了模态分析,计算出了其前6阶固有频率和主振型,并在此基础上讨论了余弦齿轮的齿数、模数、齿宽、孔径等参数对固有特性的影响。结果表明,余弦齿轮的模态振型表现为端面上的圆周振、1阶对折振、伞型振和2阶对折振。随着齿宽、孔径的增加,其固有频率呈上升趋势,而随着齿数和模数的增加,其固有频率逐渐降低。所得结论反映了余弦齿轮的动力学特性,同时也为余弦齿轮传动系统的动态响应分析及结构设计提供了理论依据。The cosine gear drive is a new type of gear drive,which takes a cosine curve as the tooth profile.The solid model of the cosine gear is established by using Pro/E software.The former 6 order of natural frequencies and principal shapes are calculated by using programme ANSYS.The influences of design parameters including the modulus,the number of teeth,the tooth width and the aperture,on natural frequency and modal shape are also discussed.The results indicate that the modal shapes are circumferential,torsional,umbellate and folio vibration.The natural frequency at every rank increases with the increase of the tooth width and the aperture,and decreases with the increase of the number of teeth and the modulus.The results reveal the dynamic performance of the cosine gear.

关 键 词：余弦齿轮 固有频率 主振型 有限元方法 

分 类 号：TH132.41[机械工程—机械制造及自动化] TP391.9[自动化与计算机技术—计算机应用技术]