薄壁矩形管的坍塌荷载

K. Masuda, Dai-heng Chen
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摘要

在这一章中,通过一系列的有限元数值研究,考虑了薄壁矩形管在纯弯曲下的变形。在模拟中,管材采用均匀的、各向同性的弹性完美塑性材料。Kecman提出了一种常用的预测纯弯曲矩形管倒塌荷载的方法。凯曼的方法侧重于法兰的细度。当法兰发生屈曲时,该方法使用与法兰屈曲后强度相对应的崩溃载荷。当法兰处不发生屈曲时,该方法采用了法兰长细与截面全塑性屈服的关系。该方法在腹板与翼缘长径比较小的情况下是有效的。然而,当宽高比较大时,由于腹板长细度的影响,该方法得到的最大弯矩值与有限元数值计算结果存在较大差异。提出了一种考虑腹板长细度影响的最大弯矩预测方法。有限元数值模拟结果验证了该方法的有效性。方法、基于Newton-Raphson法的算法和返回映射法。这些管子使用四节点(Element)进行网格划分,在A上有五个点
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Collapse Load for Thin-Walled Rectangular Tubes
In this chapter, thin-walled rectangular tubes under pure bending are considered, by per- forming a series of FEM numerical studies. In the simulation, a homogeneous and isotropic elastic perfectly plastic material was employed for the tube material. A commonly used method for predicting the collapse load of rectangular tubes subjected to pure bending was proposed by Kecman. Kecman’s method focuses on a slenderness of the flange. When buckling occurs in the flange, this method uses a collapse load corresponding to the post buckling strength of the flange. When buckling does not occur at the flange, this method used a relation of the flange slenderness to the cross-sectional fully plastic yielding. This method for predicting the collapse loads is effective when the aspect ratio of web to flange is not large. However, for large aspect ratios, there is a large discrepancy between the values of maximum moment corresponding to the collapse loads obtained from this method and the FEM numerical results due to an effect of web slenderness. A new method is proposed to predict the maximum moment considering the effect of web slenderness. The validity of the collapse load estimation is checked by the results of FEM numerical simulation. method, algorithm based on the Newton–Raphson method, and return-mapping method were used. The tubes were meshed using four-node (Element with five points across the A was
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