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框架刚度计算方法对箱梁畸变效应分析的影响

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研究了用位移法和力法计算的框架刚度对箱梁畸变效应分析结果的影响.首先分别用位移法和力法推导出了箱梁的抗畸变惯性矩解析式,然后建立了畸变控制微分方程,并给出箱梁同时承受偏心均布和集中荷载时该方程的初参数解.利用这2种解析法和有限元软件对悬臂梁模型和简支梁算例的畸变效应进行了研究.结果表明:2种解析法计算的矩形截面箱梁的畸变翘曲正应力、畸变横向正应力和畸变角一致,与实测值和有限元结果均吻合良好;2种解析法计算的梯形截面箱梁的畸变矩、畸变双力矩基本一致,与有限元结果均吻合良好,但二者计算的梯形截面箱梁的畸变角、单位宽度横向弯矩存在明显差异,其中力法计算的单位宽度横向弯矩更接近有限元结果;随着腹板倾斜度的增大,2种解析法计算的畸变框架刚度和畸变框架刚度之差均增大,而畸变翘曲刚度先减小再增大.
Influence of calculation methods of frame stiffness on distortion effect analysis of box girders
The influence of the frame stiffness calculated by the displacement method and force method on the analysis results of distortion effect of box girders was studied.Firstly,the analytical formulas of moment of in-ertial against distortion of box girders were derived by the displacement method and force method,respective-ly,and then distortion differential equations were established.Meanwhile,initial parametric solutions of the equations were provided when box girders were subjected simultaneously to eccentric uniform and concentrated loads.The distortion effects of a cantilever box girder model and a simply supported box girder example were studied by the two theoretical methods and finite element software.The results show that the distortion warping normal stresses,distortion transverse normal stresses and distortion angles of the box girders with rectangular section calculated by the two analytical methods are consistent,and they are in good agreement with the meas-ured values and finite element results.In addition,the distortion moments and distortion bi-moments of the box girders with trapezoidal section calculated by the two analytical methods are basically consistent,and they agree well with the finite element results.However,there is obvious difference in the distortion angles and transverse bending moments per unit width of the box girders with trapezoidal section calculated by the two methods,and the transverse bending moment per unit width calculated by the force method is closer to the fi-nite element result.With the increase of the inclination of webs,the distortional frame stiffnesses calculated by the two analytical methods and their difference increase,but the distortional warping stiffnesses decrease firstly and then increase.

thin-walled box girderdisplacement methodforce methodframe stiffnessdistortion effect

魏彦红、张元海、周福成、刘泽翔

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兰州交通大学土木工程学院,兰州 730070

薄壁箱梁 位移法 力法 框架刚度 畸变效应

国家自然科学基金国家自然科学基金兰州交通大学基础研究拔尖人才计划

52368020519680402022JC17

2024

东南大学学报(自然科学版)
东南大学

东南大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.989
ISSN:1001-0505
年,卷(期):2024.54(2)
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