CAJ | 학술논문

为了进行空间曲梁大变形有限元分析,将直梁单元位移分量插值的思想改进为位移矢量插值用以建立曲梁单元的位移场,分别建立了适用于任意曲线形式的全拉格朗日和修正拉格朗日增量格式空间曲梁有限元列式.通过采用等参数曲线代替实际曲线的策略,使得修正拉格朗日增量格式曲梁单元可以应用于更广泛的场合.算例对比结果表明,曲梁单元的建立过程正确,曲梁单元的精度要明显高于直梁单元.一般情况下,仅用直梁单元数量1/5的曲梁单元就可以达到相同的计算精度.
위료진행공간곡량대변형유한원분석,장직량단원위이분량삽치적사상개진위위이시량삽치용이건립곡량단원적위이장,분별건립료괄용우임의곡선형식적전랍격랑일화수정랍격랑일증량격식공간곡량유한원렬식.통과채용등삼수곡선대체실제곡선적책략,사득수정랍격랑일증량격식곡량단원가이응용우경엄범적장합.산례대비결과표명,곡량단원적건립과정정학,곡량단원적정도요명현고우직량단원.일반정황하,부용직량단원수량1/5적곡량단원취가이체도상동적계산정도.
For the purpose of carrying out the large deformation finite element analysis of spatial curved beams, the total Lagrangian (TL) and the updated Lagrangian (UL) incremental formulations for arbitrary spatial curved beam elements are established with displacement vector interpolation, which is improved from component interpolation of the straight beam displacement. A strategy of replacing the actual curve with the isoparametric curve is used to expand the applications of the UL formulation. The examples indicate that the process of establishing the curved beam element is correct, and the accuracy with the curved beam element is obviously higher than that with the straight beam element. Generally, the same level of computational accuracy can be achieved with 1/5 as many curved beam elements as otherwise with straight beam elements.