【摘要】 基于传统欧拉直梁力学模型,对初始扭转欧拉梁有限元模型进行系统的分析与研究。采用2节点12个自由度模型,单元轴向位移插值函数采用2节点拉格朗日插值函数,梁截面横向弯曲位移u,v仍采用三次式位移模式。绕梁轴扭转角位移函数φz同轴向位移函数一样采用2节点拉格朗日插值函数。首先基于作者先前文献中初始扭转梁的弯曲正应变关系,导出初始扭转欧拉梁单元刚度矩阵。最后,通过矩形截面初始扭转悬臂梁算例,并与ANSYS三维实体有限元分析结果进行对比分析,表明建立的初始扭转欧拉梁单元刚度矩阵具有良好的精度。更多还原

【Abstract】 Based on the traditional mechanical model of straight beam,the paper makes a systematic analysis and research on the pre-twisted Euler beam finite element numerical model.The paper uses two-node model of 12 degrees of freedom,axial displacement interpolation function using 2-node Lagrange interpolation function,beam transverse bending displacements(u and v) still use the cubic displacement,bending with torsion angle displacement function using cubic polynomial displacement function.Firstly,based on the author previous literature on the flexure strain relationship,the paper deduces the element stiffness matrix of the pre-twisted beam.Finally,by calculating the pre-twisted rectangle section beam example,and contrasting three-dimensional solid finite element using ANSYS,the comparative analysis results show that pre-twisted Euler beam element stiffness matrix has good accuracy.更多还原