为了求解变截面波形钢腹板组合梁截面的剪力滞效应,研究了剪力滞翘曲位移函数模式,证明了按二次抛物线定义翘曲位移函数具有较高的求解精度。基于最小势能原理,利用变分法,推导了等截面波形钢腹板组合梁截面的翘曲位移函数的计算公式;在此基础上,运用差分法,进一步推导了变截面波形钢腹板组合梁截面的翘曲位移函数、附加弯矩、挠度以及剪力滞系数的递推计算公式。研究结果表明:按二次抛物线形式定义广义纵向位移函数对于变截面波形钢腹板组合梁同样可行;宽跨比是个敏感参数,差分法可用于求解任意荷载、任意边界条件下的变截面波形钢腹板组合梁截面的剪力滞系数。最后利用工程实例实测结果和有限元计算结果加以验证,3种方法所得结果吻合。
In order to solve shear lag effect of non-uniform composite beam with corrugated steel web, the warping displacement function mode was studied, and the higher accuracy of shear lag would be obtained if warping displacement function was defined as parabola. The uniform com- posite box girder with corrugated steel web computational formula of the warping displacement function was deduced through exerting the principle of minimum potential energy and with the variation method. Furthermore, the non-uniform recurrence formulas of the warping displace- ment function, additional bending moment, additional displacement and shear lag coefficient were also deduced by using difference method. The results show that it is equally feasible defining the warping displacement function as a parabola for non-uniform composite beam with corrugated steel web. What's more, the wide-span ratio is a sensitive parameter. In addition, using differ- ence method is effective for solving shear lag coefficient of non-uniform composite beam with cor- rugated steel web which is under arbitrary boundary conditions or loads. The measured results in engineering and EFM results are consistent with theoretical analysis results in this paper. 12 figs, 18 refs.