摘要
本文对8-节点四边形轴对称杂交/混合元AXHM16进行了系列考核:(1)考查AXHM16是否含有零能变形模式,以查明它的含秩状况;(2)通过受内压作用的厚壁球壳考题,观察AXHM16的转轴不变性和其它性能表现。事实表明:AXHM16满足单元合理足秩的必要条件和充分条件,不含零能变形模式,单刚合理足秩。数值考核表明:AXHM16具有很好的位移精度和应力精度,对坐标转轴的敏感程度并不明显,且在近乎相同的节点自由度的条件下,比8A元约可节省机时(CPU)30％。
The present study is involved mainly in the assessment and examinations on the behavioral characteristics of a solid-of-revolution axisymmetrc 8- node quadrilateral hybrid/mixed element AXHM16. To begin with , the zero energy deformation mode (ZEDM) test is conducted to check the element rank situation of AXHM16. A thick-wall sphere under uniform internal pressure problem is then analysed for examinations on the invariance properties and other behavioral characterisitics. Facts prove that AXHM16 is provided with element rank-correctness,;, e. ,it satisfies both the necessary and the sufficient conditions for rark-correctness and conceives no ZEDM, Numerical studies demonstrate the remarkable accuracy provided by AXHM16 in displacement and stress results, and finally, the CPU expenses for AXHM16 are nearly 30％ less than those fur 8A, both are having nearly the same number of nodes.
出处
《西南交通大学学报》
EI
CSCD
北大核心
1993年第5期7-11,共5页
Journal of Southwest Jiaotong University
基金
国家博士点基金
关键词
厚壁球壳
零能变形模式
有限元
thick-wall sphere
zero energy deformation mode (ZEDM)
hybrid/mixed finite element
