具有刚性运动的弹性梁单元动力学微分方程的精确表达式

THE ACCURATE EQUATION OF ELASTIC BEAM ELEMENT WITH RIGID MOVEMENT

抛弃了传统ＫＥＤ分析时普遍采用的“瞬时结构假定”，利用矩阵理论对梁单元动力学微分方程做了重新推导，导出了具有刚性运动的弹性梁单元的拉格朗日方程的精确表达式，该方程较以前的梁单元的动力学方程式表达简洁，易于使用，并且具有较高的精度，解决了传统的机构弹性动力学微分方程中精度要求高和表达式形式过于复杂之间的矛盾，该梁单元的动力学方程可供ＫＥＤ分析、比较和计算时使用。

In this paper the authors abandoned instantaneous structure hypothesis of traditional KED analysis and derived a new accurate Lagrange′s equation of elastic beam element with rigid movement using the matrix theory.This equation is simpler,more easily used and more accurate than before. The authors solved the inconsequence between accuracy and simplicity of equation.This dynamic equation of beam element can be utilized in KED analysis.