摘要
将理性有限元法引入到Timoshenko梁问题中,提出了一种理性Timoshenko梁单元,克服了剪切锁死现象.在推导控制方程时,与传统有限元方法采用Lagrange插值不同,理性有限元法用Timoshenko梁弯曲问题的基本解逼近单元内部场.运用该梁单元分析Timoshenko梁时,无需缩减积分,就能避免剪切锁死,并且极大地提高了计算精度,说明理性有限元法具有广泛的应用前景.
Rational FEM is used in Timoshenko beam problems. A kind of rational Timoshenko beam element is proposed, to avoid shear locking. In deriving the governing equations, some basic analytic solutions of Timoshenko beam problems are used to approximate the inner field of the element. This method is different from Lagrange interpolation used in the conventional FEM. The rational Timoshenko beam element can avoid shear locking without a reduced integration. Numerical results show that the element＇s precision is very high. It is shown that the rational FEM has a very wide application.
出处
《力学与实践》
CSCD
北大核心
2008年第1期31-34,共4页
Mechanics in Engineering
