本文从非棱柱形梁的弯曲理论出发,推导出了变截面刚架元的单元刚度矩阵和等效结点载荷。
Based on the theory of the bending of non-prismatic beam, the paper has derived a rigidity matrix and the equivalent node load of the rigid-frame element with variable sections.
其中几何刚度矩阵由轴向力、双向弯曲和截面翘曲的影响组成。
The geometric stiffness matrix is composed by the effect of axial force, bending moment and bimoment.
试验结果表明,钢管模型拱截面抗弯刚度小,受力过程弯曲变形较大。
It shows that the displacements of the model developed rapidly for its small rigidity.
所得到的刚度矩阵表明,只有当忽略翘曲变形对截面转角的影响时,轴向拉压才只与水平弯曲及竖向弯曲相耦合,而与约束扭转不再耦合。
It is shown that, when the effect of warping on rotation Angle is neglected, tension (or compression) is only coupled with horizontal bending and vertical bending instead of constrained torsion.
所得到的刚度矩阵表明,只有当忽略翘曲变形对截面转角的影响时,轴向拉压才只与水平弯曲及竖向弯曲相耦合,而与约束扭转不再耦合。
It is shown that, when the effect of warping on rotation Angle is neglected, tension (or compression) is only coupled with horizontal bending and vertical bending instead of constrained torsion.
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