不等端弯矩作用下薄壁梁临界弯矩的计算分析

Calculation and Analysis on Critical Moment of Thin-walled Beams under Unequal End Moment

薄壁梁的弯扭屈曲分析是一个较为复杂的问题,在荷载作用下沿梁的弯矩为非均匀分布时,其屈曲方程的求解较为困难。根据梁柱杆端变形增量相关方程和改进后的CDC法,将薄壁梁的弯扭模型等效为拉弯模型,顺利的算出不等端弯矩作用下薄壁梁的临界弯矩,并提出建议公式。经计算与数值解比较,结果令人满意。

In this paper, comparing the bending-twisting model with the tension-bending one, the critical moment of the thin-walled beams under unequal end moment is derived easily by the improved CDC (column deflection curve) method based on the increment interaction equations of beam-columns.A simplified formula is presented and the calculated results show a good agreement with the numerical ones.