G-M法在小半径曲线箱形梁桥受力分析中的应用与研究

Application and Study of G-M Method in Stress Analysis of Small-radius Curve Box Beam Bridge

为了简化计算,提高计算精度,解决将箱梁比拟成正交同性板时,其横向抗弯刚度Dy、综合抗扭刚度H与实际值出入较大的难题,该文采用正交异性板在桥跨结构静力分析上的独特优点,选择箱梁桥跨结构比拟法的难点Dy的确定作为突破口,通过空腹框架比拟导出了等效Dy的普遍公式;再代入通过构造异性板理论导出的,以Dx、Dy函数关系表示的H公式。然后对比拟正交异性板进行理论分析,从而简化计算,提高了计算精度,并通过绥芬河市小半径曲线箱形梁桥荷载试验进行验证。研究表明:采用该方法所得的结果和采用有限元分析法所得的结果符合较好,且计算方法简单,计算精度较高,可以应用于其它小半径曲线箱形梁桥的受力分析。

In order to simplify the calculation, enhance the calculating precision and solve the problem that its lateral bending rigidity Dy, and integrated torsional rigidity H are greatly different from the practical value when the box beam is assimilated as the isotropy plate, the article uses the specific advantage of orthotropic plate in the static analysis of span structure, selects the determination of difficulty Dy of box beam span structure assimilation method as the gap, assimilates and educes the universal formula of equivalent Dy through the hollow frame, and substitutes H formula educed from the structure orthotropic plate theory and indicated by the function relation of Dx and Dy. Then the article theoretically analyzes the assimilated orthotropic plate so as to simplify the calculation and enhance the calculation precision, and validates it through the loading test of small-radius curve box beam bridge in Suifenhe City. The study makes clear that the result from this method is better according with the result from the finite element analysis method, and the calculation method is simple and the calculation precision is higher, which can be used in the stress analysis of the other small-radius curve box beam bridges.