摘要
主要探讨汽轮机叶片的振动问题中刚体和弹性体耦合振动问题,根据拉格朗日方程建立了叶片的振动方程,方程中出现的时变陀螺阵及时变刚度阵,反映了刚体运动和弹性体运动的耦合关系.采用纽马克逐步积分法求解该方程,非稳转动所形成的激励使得叶片产生振动,同时对这一结果用Matlab语言对其进行了可视化处理.
The coupling rigid body movement and elastic vibration system are investigated.The system dynamic equations are established by Lagrange equations,the stiffness matrix and gyroscopic matrix are timedependent, which reveals the coupling relations between rigid body movement and elastic vibration.Newmark numerical integral method is used to solve the vibration differential equation of the elastic blade.The vibration of blade can be caused by variable rotation of the disc.Matlab is used to visualize the datum by figure.
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
2003年第3期339-343,共5页
Journal of Harbin Engineering University
基金
国家自然科学基金项目(19872022).
关键词
刚体
弹性体
LAGRANGE方程
响应
rigid body
elastic body
Lagrange equation
vibration response
