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多室薄壁箱梁剪力滯效應(yīng)的解析解

發(fā)布時間:2019-01-01 16:06
【摘要】:為研究單箱多室箱梁的剪力滯效應(yīng),對不同翼板分別設(shè)置不同剪滯縱向位移差函數(shù),縱向翹曲位移函數(shù)橫向分布規(guī)律采用k次拋物線,同時考慮全截面軸力自平衡的條件,根據(jù)能量變分法推導(dǎo)出n室箱梁剪滯效應(yīng)的控制微分方程組及其閉合解,并通過雙室和三室箱梁算例將本文變分解與有限元計算結(jié)果進(jìn)行對比,結(jié)果表明:本文變分解與有限元解比較吻合,兩種方法計算的翼板應(yīng)力沿橫向變化規(guī)律基本一致,剪滯翹曲位移拋物線取高次時箱梁頂板結(jié)果更接近于有限元解,取低次時懸臂板更接近于有限元解,拋物線次數(shù)對腹板位置結(jié)果影響較小。
[Abstract]:In order to study the shear lag effect of single-box multi-chamber box girder, different longitudinal displacement difference functions are set up for different wing plates. The transverse distribution law of longitudinal warping displacement function is k times parabola, and the condition of self-balance of axial force of full section is taken into account at the same time. Based on the energy variation method, the governing differential equations and their closed solutions for the shear lag effect of n-chamber box girder are derived, and the results of variation decomposition and finite element analysis are compared with those of two-chamber and three-chamber box girder examples. The results show that the variational decomposition in this paper is consistent with the finite element solution, the stress of the flange calculated by the two methods is basically the same along the transverse variation, and the result of the box girder roof is closer to the finite element solution when the shear lag warping displacement parabola is taken. The cantilever plate is closer to the finite element solution when the lower order is taken, and the number of parabola has little effect on the web position.
【作者單位】: 鐵道第三勘察設(shè)計院集團(tuán)有限公司;天津華興勘察設(shè)計有限公司;
【分類號】:U441;U448.213

【參考文獻(xiàn)】

相關(guān)期刊論文 前9條

1 吳幼明,羅旗幟;一類二階常系數(shù)微分方程組的通解[J];佛山科學(xué)技術(shù)學(xué)院學(xué)報(自然科學(xué)版);2002年02期

2 劉世忠,吳亞平,夏e,

本文編號:2397789


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