董诗忆, 童根树. 单轴对称楔形工字钢梁的平面外稳定[J]. 工程力学, 2010, 27(5): 75-082.
引用本文: 董诗忆, 童根树. 单轴对称楔形工字钢梁的平面外稳定[J]. 工程力学, 2010, 27(5): 75-082.
DONG Shi-yi, TONG Gen-shu. OUT-OF-PLANE STABILITY OF MONOSYMMETRIC WEB-TAPERED I-BEAMS[J]. Engineering Mechanics, 2010, 27(5): 75-082.
Citation: DONG Shi-yi, TONG Gen-shu. OUT-OF-PLANE STABILITY OF MONOSYMMETRIC WEB-TAPERED I-BEAMS[J]. Engineering Mechanics, 2010, 27(5): 75-082.

单轴对称楔形工字钢梁的平面外稳定

OUT-OF-PLANE STABILITY OF MONOSYMMETRIC WEB-TAPERED I-BEAMS

  • 摘要: 该文推导了楔形变截面梁弯扭屈曲的非线性应变能,并依据得到的总应变能进行有限元分析公式的推导。对楔形悬臂梁,中间截面最大的楔形变截面简支梁承受集中荷载和均布荷载的情况进行了分析,与ANSYS基于板壳理论的有限元分析结果进行对比,验证了该文理论的正确性和精度。最后依据该文理论分析了两端简支的楔形工字钢梁受不等端弯矩作用下的临界弯矩,拟合了高精度的临界弯矩计算公式,该公式形式与等截面梁的相同,物理意义明确,便于工程应用。

     

    Abstract: A nonlinear strain energy for flexural-torsional buckling of web-tapered thin-walled beams is derived. Based on the derived total strain energy, finite element (FE) analysis is carried out for cantilevered beams and simply supported beams under concentrated loads and uniformly distributed loads. The results are compared with ANSYS FE analysis based on shell elements. The presented theory predicts good results compared with currently available other theories. By using the proposed theory and FE analysis, critical moments of simply supported beams with linearly tapered sections under linearly varying bending moments are obtained, then, an approximate formula with good accuracy is proposed, which has a similar expression to that for beams of uniform cross-section.

     

/

返回文章
返回