余弦齿轮的有限元模态分析

以一种新型齿轮一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 Finite Element Modal Analysis of the Cosine Gear

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,torsion...