| 龙均翊,张元海,周福成.近似考虑剪切变形影响时薄壁箱梁畸变效应分析[J].计算力学学报,2024,41(6):1066~1071 |
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| 近似考虑剪切变形影响时薄壁箱梁畸变效应分析 |
| Analysis on distortion effect of thin-walled box girders approximately considering shear deformation |
| 投稿时间：2023-06-29 修订日期：2023-08-16 |
| DOI：10.7511/jslx20230629002 |
| 中文关键词: 薄壁箱梁 畸变效应 能量变分法 剪切变形 初参数解 |
| 英文关键词:thin-walled box girder distortion effect energy variation method shear deformation initial parameter solution |
| 基金项目:自然科学基金(52368020)资助项目. |
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| 摘要点击次数: 39 |
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| 中文摘要: |
| 为了研究剪切变形对薄壁箱梁畸变效应的影响,对传统能量变分法分析薄壁箱梁畸变效应时的畸变横向框架应变能计算考虑剪力影响,利用最小势能原理建立考虑剪切变形影响的畸变控制微分方程,并以克雷洛夫函数表达均布畸变矩荷载作用下的初参数解。结合简支箱梁数值算例,分析剪切变形对畸变翘曲应力和畸变横向弯矩的影响程度,并通过有限元软件ANSYS进行验证。结果表明,按本文方法计算的畸变翘曲应力比忽略剪切变形时更接近ANSYS壳单元数值解;考虑剪切变形影响后,畸变翘曲正应力的增大不超过1.85%,畸变横向弯矩的增大不超过2.35%;薄壁箱梁的高跨比对畸变翘曲应力的影响较为显著。 |
| 英文摘要: |
| In order to study the influence of shear deformation on the distortion of thin-walled box girders,the shear force was considered in calculating the strain energy of a frame in analyzing distortion effect by applying a traditional energy variation method.The governed differential equation considering the shear deformation was established by applying the principle of minimum potential energy,and the initial parametric solution expressed in the form of a Krylov function was derived for box girders subjected to a uniformly distributed distortion moment load.A numerical example was given to analyze the influence of shear deformation on the distortion warping stress and the transverse bending moment,and verified by finite element software ANSYS.The results show that the distortion warping stress calculated by the proposed method is closer to the shell element solution of ANSYS than that by neglecting the shear deformation.After considering the shear deformation effect,the distortion warping stress increases by less than 1.85%,and the transverse bending moment increases by less than 2.35%.The height to span ratio of the thin-walled box girder has a significant effect on the distortion warping stress. |
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