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本文对一完整双联斜齿轮在动载荷和离心力作用下结构中的位移和应力场进行了计算研究。首先建立了双联斜齿轮的三维有限元模型,用[1]中的方法求得了相应结构振动最低几阶固有频率及振型。用模态坐标变换将有阻尼弹性系统二阶常微分有限元动态运动方程组转换成无耦合微分方程,根据系统计算出的真实动载荷用振型叠加法计算了双联斜齿轮的稳态响应。本文还研究了离心力对齿轮位移及应力分布的影响,并与齿轮结构中的动位移及动应力进行了对比分析。全文的计算是在微机上完成的。
In this paper, the displacement and stress fields of a complete double helical gear under the action of dynamic load and centrifugal force are calculated and studied. First of all, a three-dimensional finite element model of a double helical gear was established. The lowest natural frequencies and mode shapes of the corresponding structures were obtained by [1]. The modal coordinate transformation is used to convert the second order ordinary differential finite element dynamic equations with damped elastic system into the uncoupled differential equations. The steady dynamic response of the double helical gears is calculated according to the real dynamic load calculated by the system. . The paper also studies the influence of centrifugal force on gear displacement and stress distribution, and compares the dynamic displacement with the dynamic stress in the gear structure. The full text is calculated on the computer.