长沙理工大学学报(自然科学版)
考虑剪切变形影响的圆形空心桥墩稳定性分析
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U443.22

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国家自然科学基金资助项目(51278072);长沙理工大学土木工程优势特色重点学科创新项目(16ZDXK09)


Stability analysis of circular hollow piers considering shear deformation
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    摘要:

    为探究考虑剪切变形对圆形空心桥墩稳定性的影响,将圆形空心桥墩作为中厚壳结构,考虑结构和荷载的轴对称,建立了考虑剪切变形影响的圆形空心桥墩轴对称变形微分方程,其与Winkler地基上Timoshenko梁的微分方程一致;当不考虑剪切变形影响时,微分方程可退化成与Winkler地基上Bernoulli-Euler梁的微分方程一致。求解了微分方程的特征解,并结合空心桥墩的边界条件,推导了桥墩局部失稳的超越方程。通过改变算例的墩高、半径及壁厚等结构参数,对比分析了轴对称失稳临界荷载值和整体失稳临界荷载值的大小,并将其结果与不考虑剪切变形影响得到的结果进行了对比。研究结果表明,在参数特定取值条件下,轴对称失稳先于整体失稳,而剪切变形的影响不可忽视。

    Abstract:

    To study the influence of shear deformation on the stability of circular hollow pier, taking the circular hollow pier as the medium thick shell structure, considering the axial symmetry of the structure and load, the differential equation for axisymmetric deformation of the circular hollow pier with the influence of shear deformation was established, which was in accordance with the differential equation of the Timoshenko beam on the Winkler foundation. When the influence of shear deformation was not considered, the differential equation can be reduced to the differential equation of Bernoulli-Euler beam on Winkler foundation. The characteristic solution of the differential equation was solved, and the transcendental equation of the local instability of the pier was derived from the boundary condition of the hollow pier. By changing the structural parameters such as the height, radius and wall thickness of the pier, the critical load value of axisymmetric instability and the value of the critical load on the overall instability were compared and analyzed. The results were compared with those obtained without considering the effect of shear deformation, it can be seen that the axisymmetric instability is preceded to the overall instability under the specific parameters of the parameter, and the influence of the shear deformation can not be ignored.

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曹志强,胡朵,夏桂云.考虑剪切变形影响的圆形空心桥墩稳定性分析[J].长沙理工大学学报(自然科学版),2019,16(1):43-50.
CAO Zhi-qiang, HU Duo, XIA Gui-yun. Stability analysis of circular hollow piers considering shear deformation[J]. Journal of Changsha University of Science & Technology (Natural Science),2019,16(1):43-50.

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  • 在线发布日期: 2022-04-24
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