螺旋锥齿轮啮合刚度和参数振动稳定性研究.pdfVIP

25 7 Vol. 25 No. 7 2010 7 Journal of Aerospace Power Jul. 2010 : 1000-8055( 2010)07- 1664-06 1, 2 1 3 3 王延忠 , 周元子 , 李国权 , 郭 梅 ( 1. , 100191; 2. , 400044; 3. , 110015) : . , ( TCA) ( LT CA) ;, Floquet ; , ; , . : ; ; ; ; Floquet ; : V2311 92 : A Mesh stiffness function and stability analysis for parametric vibration of spiral bevel gears 1, 2 1 3 3 WANG Yan-zhong , ZHOU Yuan-zi , LI Guo-quan , GUO M ei ( 1. School of Mechanical Engineering and Automation, ejing University of Aeronautics and Astronautics, eijing 100191, China; 2. The State Key Laboratory of Mechanical Transmission, College of Mechanical Engineering, Chongqing University, Chongqing 400044, China; 3. Shenyang Aeroengine Research Institute, Aviation Industry Corporation of China, Shenyang 110015, China) Abstract: T heoretical study of the time-varying mesh stiffness is critical to geared sys- tem dynamics. For spiral bevel gears at high speed and heavy load in aero-engines, a numer- ical solution was applied to investigate the compliance and stiffness for each instantaneous contact, based on the static deflections and directional forces obtained by T CA (tooth con- tact analysis) and LTCA ( loaded tooth contact analysis) . Analytical form for state transi- tion matrix of parametrical excited system including periodically varying stiffness was derived from the assumption that the time-varying mesh stiffness is piece-wise linearity. y adjus-