| 基于铁木辛柯梁理论的工字梁剪切变形计算方法研究 |
| Research on calculation method of shear deformation of I⁃beam based on Timoshenko beam theory |
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| 中文摘要: |
| 飞机机翼通常采用工字梁作为支撑结构，然而由于工字梁的几何参数改变，理论计算会受到影响，梁理论的选择会直接影响计算结果。目前，现有的工字梁挠度计算主要基于欧拉-伯努利梁理论，未充分考虑梁弯曲时存在的剪切变形。因此，本文提出了一种基于铁木辛柯梁理论的考虑剪切作用的工字梁计算方法，用于针对受集中力影响的工字梁进行计算。通过表征剪切变形对梁变形的影响，获得了剪切变形对梁的作用规律，并解释了剪切变形在梁中的变形机制。研究表明，当工字悬臂梁靠近固定端一定范围内以及梁的跨高比小于5时，计算时应考虑剪切变形的影响。该计算方法得出的内力计算理论结果与仿真及电测法结果基本一致，可以应用于实际工程计算中。 |
| 英文摘要: |
| Aircraft wings usually use I?beams as support structures. However, due to changes of the geometric parameters of the I?beams, theoretical calculations will be affected, and the choice of beam theory will directly affect the calculation results. At present, the existing deflection calculation of I?beams is mainly based on the Euler Bernoulli beam theory, without fully considering the shear deformation during beam bending. Therefore, this article proposes a calculation method for I?beams considering shear effects based on the Timoshenko beam theory, which is used to calculate I?beams affected by concentrated forces. By characterizing the effect of shear deformation on beam deformation, the law of action of shear deformation on the beam was obtained, and the deformation mechanism of shear deformation in the beam was explained. Research has shown that when the I?shaped cantilever beam is within a certain range near the fixed end and the span to height ratio of the beam is less than 5, the influence of shear deformation should be considered in the calculation. The theoretical results of internal force calculation obtained by this method are basically consistent with the results of simulation and electrical measurement method, and can be applied to practical engineering calculation. |
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| 中文关键词: 工字梁 剪切变形 铁木辛柯梁理论 电测法 |
| 英文关键词:I⁃beam shear deformation Timoshenko beam theory electrometric method |
| 基金项目: |
| DOI：10.11823/j.issn.1674-5795.2023.05.05 |
| 引用本文：辛育霞, 王勇, 付佳豪, 倪天琦, 齐贺阳.基于铁木辛柯梁理论的工字梁剪切变形计算方法研究[J].计测技术,2023,(5):. |
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