双圆弧齿轮的模态与振动响应

齿轮的固有频率和振型直接影响到齿轮的传动过程、噪声等.应用任意转角位置的双圆弧齿轮齿面数学模型,在Pro/E中建立了高精度的参数化双圆弧齿轮模型.运用Pro/Mechanica分析了齿轮参数对齿轮固有频率和模态振型的影响,以及特定双圆弧齿轮的振动响应.结果表明,双圆弧齿轮主要为圆周方向振动;齿数增加,对各阶固有频率影响逐步变小;不同齿数、模数组合对低阶固有频率影响较小;改变结构能明显改变固有频率.其振动响应特性为振动去除双圆弧齿轮内应力提供了理论计算数据.图8,表4,参7.

The Mode and Vibration Response of the Double-Circular-Arc Gears

The natural frequency and vibration shape of gear influence the process of gear drive and yawp directly. Through applied the mathematical model of the double-circular-arc gear teeth surface at any corner position, the model of the double-circular-arc gear with high precision and parameter in Pro/E was established. The influence were analgzed that of natural frequency and modal vibration shape by the parameter of the gear, and the vibration response of specifically double-circular-arc gear by Pro/Mechanica. The result indicate that the main vibration direction of double-circular-arc gear is circle. With the tooth count's increase, the influence of the natural frequency at every rand is becoming little stepwise, and the influence of the lower rand natural frequency at the combination about the different tooth count and modulus is smaller, and changing structure change natural frequency obviously. Its vibration response character provides the theory calculate data of wiping off the inner stress of double-circular-arc gear. 8figs, 4tabs,7refs.