摘要
构造Rayleigh-Euler区间B样条小波旋转梁单元,该单元边界节点具有6个自由度,即:3个移动和3个转动,而内部节点具有3个自由度,即:3个移动,分别表征横向弯曲及转角、轴向位移、扭转位移。建立柔性转子系统小波有限元模型,考虑陀螺效应、截面惯性矩、材料迟滞和粘性阻尼、轴承的交叉刚度与交叉阻尼的影响。数值算例表明:小波有限元法具有良好的性能,适合于工程中复杂柔性转子系统动力学分析。
A wavelet-based Rayleigh-Euler rotating beam element using B-spline wavelet on a interval (BSWI) is proposed. Each edge node is collocated six degrees of freedom (DOFs): three translations and three rotations, whereas each inner node only is collocated three translations. The DOFs of each node denote transverse displacements and slops, torsion deformation and axial displacement. The wavelet finite element model of flexible rotor-bearing systems is also built up and the effects of gyroscopic moments, rotary inertia, hysteric and viscous internal damping, cross-coupled stiffness and damping coefficients of bearings are included in the proposed element. Typical numerical examples indicate that the proposed wavelet finite element method has good performance and is suitable for dynamic analysis of complex rotor-bearing systems in engineering.
出处
《振动与冲击》
EI
CSCD
北大核心
2008年第9期1-5,19,共6页
Journal of Vibration and Shock
基金
国家自然科学基金资助项目(50505033)
广西青年基金资助项目(桂科青0832082)
广西制造系统与先进制造技术重点实验室主任课题(07109008-012z)
关键词
柔性转子
小波有限元法
梁单元
动力学分析
flexible rotor
wavelet finite element method
beam element
dynamic analysis