摘要
边界元法用于分析非线性问题和动力问题时,在最终得到的积分方程中同时包含边界积分和区域积分。通常的做法是对区域积分项采用常值有限元离散,这需要用很密的网格才能达到较高的精度。
In this paper the boundary integral equation for torsio-nal free vibration problem of revolution bodies is derived. The boundary integral term in the equation is discretized with linear interpolation boundary elements and the domain integral term with 8 nodeSerendipity finite elements. The equation is condensed by taking thefinite element nodes as master degrees of freedom and a generalized eigenvalue problem with a few degrees of freedom is established. Typical examples are studied. The numerical results show that higher accuracy could be obtained and fewer degrees of freedom are needed by using Serendipity elements than constant value elements. Results are remarkably improved as meshes refined. Computations are reduced due to condensation.
出处
《航空学报》
EI
CAS
CSCD
北大核心
1989年第3期A187-A191,共5页
Acta Aeronautica et Astronautica Sinica
基金
国家自然科学基金
关键词
边界元法
回转体
自由扭振
凝聚
boundary element method, free vibration, revolution bodies condensation.
