朱炳麒, 陈学宏. 理性Timoshenko梁单元及其应用[J]. 力学与实践, 2008, 30(1): 31-34. DOI: 10.6052/1000-0992-2007-264
引用本文: 朱炳麒, 陈学宏. 理性Timoshenko梁单元及其应用[J]. 力学与实践, 2008, 30(1): 31-34. DOI: 10.6052/1000-0992-2007-264
CHEN Xue-Hong, . RATIONAL TIMOSHENKO BEAM ELEMENT AND ITS APPLICATION[J]. MECHANICS IN ENGINEERING, 2008, 30(1): 31-34. DOI: 10.6052/1000-0992-2007-264
Citation: CHEN Xue-Hong, . RATIONAL TIMOSHENKO BEAM ELEMENT AND ITS APPLICATION[J]. MECHANICS IN ENGINEERING, 2008, 30(1): 31-34. DOI: 10.6052/1000-0992-2007-264

理性Timoshenko梁单元及其应用

RATIONAL TIMOSHENKO BEAM ELEMENT AND ITS APPLICATION

  • 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.

     

    Abstract: Rational FEM is used in Timoshenko beam problems. Akind of rational Timoshenko beam element is proposed, to avoid shear locking. In deriving thegoverning equations, some basic analytic solutions ofTimoshenko beam problems are used to approximate the inner field of the element. Thismethod is different from Lagrange interpolation used in the conventional FEM. The rationalTimoshenko beam element can avoid shear locking without a reducedintegration. Numerical results show that the element's precision is very high.It is shown that the rational FEM has a very wide application.

     

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