本文選題：板殼有限元　切入點：薄壁箱梁　出處：《鐵道科學(xué)與工程學(xué)報》2017年04期

【摘要】：為了分析計算薄壁箱梁剪力滯效應(yīng),直接從殼體結(jié)構(gòu)特點出發(fā),由8節(jié)點曲邊四邊形膜單元和基于Reinssner中厚板理論的彎曲單元推導(dǎo)考慮剪切閉鎖效應(yīng)的薄壁箱梁空間殼單元剛度矩陣及相應(yīng)的剛度方程,并在MATLAB上編制相應(yīng)的計算程序。通過數(shù)值算例,將理論計算值與ANSYS有限元結(jié)果,模型試驗的實測值進(jìn)行比較,三者吻合良好,驗證了理論公式推導(dǎo)的正確性與可靠性。本文采用8節(jié)點的等參單元和二次型位移場形函數(shù),不僅適用于計算直線箱梁,也適用于曲線箱梁,因而更具有普遍性。最后,從平衡微分方程的角度解釋剪力滯產(chǎn)生的真正原因,不僅僅是由于剪應(yīng)力沿橫向分布不均勻,其本質(zhì)更在于剪應(yīng)力沿橫向不均勻變化。
[Abstract]:In order to analyze and calculate the shear lag effect of thin-walled box girder, we proceed directly from the characteristics of shell structure.The stiffness matrix and the corresponding stiffness equations of space shell element of thin-walled box girder considering shear latch-up effect are derived from 8-node curved quadrilateral membrane element and bending element based on Reinssner theory. The corresponding calculation program is compiled on MATLAB.Through numerical examples, the theoretical calculation results are compared with the ANSYS finite element results and the measured values of the model tests. The results agree well with each other, and verify the correctness and reliability of the derivation of the theoretical formulas.In this paper, the isoparametric element with 8 nodes and the quadratic displacement field shape function are used, which are not only suitable for calculating the straight box girder, but also applicable to the curved box girder, so it is more universal.Finally, the real cause of shear lag is explained from the point of view of equilibrium differential equation, not only because of the uneven distribution of shear stress along the transverse direction, but also because the shear stress varies unevenly along the transverse direction.
【作者單位】： 武漢工程大學(xué)資源與土木工程學(xué)院;
【基金】：國家自然科學(xué)基金資助項目(51378404) 武漢工程大學(xué)創(chuàng)新基金資助項目(2016036)
【分類號】：U448.213

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本文編號：1702484