Analysis of Natural Characteristic and Loci Veering / Crossing of Double Helical Planetary Gear Train

• Published in: Jixie Chuandong Vol. 39; pp. 9 - 15
• Main Authors: Liu Zhenzhou, Zhang Jun
• Format: Journal Article
• Language: Chinese
• Published: Editorial Office of Journal of Mechanical Transmission 01.01.2015
• ISSN: 1004-2539

A translational- rotational- coupling dynamics model for a NGW double helical planetary gear train（ DHPGT） is developed to investigate the free vibration characteristics. Based on the established model,the differential equations of motion of the system are derived. Through the solution of the system eigenvalue problem,the natural frequency and vibration mode are acquired corresponding. According to the characteristics of transmission system,the vibration modes of a DHPGT can be classified into three categories,i. e.,the central components axial torsional vibration mode,the central components translational mode and the planet wheel vibration mode. Based on the loci veering / crossing principle,the influences of loci veering and loci crossing on the transmission characteristic are analyzed from the perspective of modal strain energy and vibration modes.The simulation results demonstrate that vibration modes and modal energy exchange abruptly when a loci crossing occurs,while vibration modes and modal energy cha