Abstract
In the dynamic study of the double-helical gear transmission, the coupling shaft in the middle of the two helical gears is difficult to be handled accurately. In this article, the coupling shaft is treated as the Timoshenko beam elements and is synthesized with the lumped-mass method of the two helical gear pairs. Then, the numerical integration method is used to solve the amplitude–frequency responses and dynamic factors under diverse operating conditions. A gear vibration test rig of closed power circuit is developed for in-depth experimental measurements and model validation. After comparing the theoretical data with the practical results, the following conclusions are drawn: (1) the dynamic model with the Timoshenko beam element is quite appropriate and reliable in the dynamic analysis of double-helical gear transmission and is of great theoretical value in the accurate dynamic research of the double-helical gear transmission. (2) In both theoretical analysis and experimental measurements, the dynamic factors of gear pair diminish with the increase in the input torque and augment with the increase in the input speed. (3) The deviation ratio of the theoretical data and the experimental results decrease with the increase in the input torque, reaching the minimum at the highest input speed.
Highlights
Compared with the single-helical gear, the doublehelical gear, known as the herringbone gear, has the advantages of high carrying capacity, smooth transmission, and small bearing load.[1]
The double-helical gear transmission system is widely used in aviation and vessel transmission device, and much attention is given to the dynamic characteristics of double-helical gear sets
A dynamic model of the double-helical gear transmission is established with the lumped-mass method and the Timoshenko beam of the finite element theory
Summary
Compared with the single-helical gear, the doublehelical gear, known as the herringbone gear, has the advantages of high carrying capacity, smooth transmission, and small bearing load.[1]. The shear deformation and the rotation of cross section cannot be ignored, and the Timoshenko beam element is more reasonable and efficient than the Euler–Bernoulli beam element in the dynamic analysis of the double-helical gear. The node M is used to connect the bilateral helical gears and the coupling shaft with the stiffness and damping matrices that represent the support effect of the sliding bearings. Since this kind of test rig only consumes a small amount of energy to meet the operating conditions, cooling devices could be ignored to simplify the entire experiment facilities.
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