A new method for the determination of effective flange width under uniform load on simply supported box girder bridges considering shear lag effect is proposed in this paper. Based on the Symplectic Elasticity method,...A new method for the determination of effective flange width under uniform load on simply supported box girder bridges considering shear lag effect is proposed in this paper. Based on the Symplectic Elasticity method, the flange slab of the box girder is simplified into a plane stress plate. Using equilibrium conditions of the plates, the Hamilton dual equations for top plate element is established. The analytical formulas of each plate element considering shear lag effect are derived. The closed polynomial effective width expression of flange slab under uniform load on the whole span length has been obtained. Through examples using the finite element method, the results obtained by the proposed method are examined and the accuracy of the proposed method is verified.展开更多
区别于经典的基于Parzen窗口法的概率密度函数估计器构建策略,提出了基于近邻误差度量函数的启发式核密度估计器(Heuristic kernel density estimator,HKDE),用以提升对模相近数据概率密度函数拟合的准确性。首次从数据不确定性和模型...区别于经典的基于Parzen窗口法的概率密度函数估计器构建策略,提出了基于近邻误差度量函数的启发式核密度估计器(Heuristic kernel density estimator,HKDE),用以提升对模相近数据概率密度函数拟合的准确性。首次从数据不确定性和模型不确定性的角度分析了传统核密度估计器解决模相近数据概率密度函数估计问题时的缺陷:利用概率密度值对于直方图箱宽参数的收敛性确定观测数据的启发式概率密度值,降低数据概率密度值计算的不确定性;基于启发式概率密度值构建用于确定核密度估计器最优带宽的目标函数,降低最优带宽优化过程中的不确定性。在18个模相近数据集上对新估计器HKDE的可行性、合理性和有效性进行了系统性的验证。实验结果表明,与7种具有代表性的概率密度函数估计器相比,HKDE能够获得更加优异的概率分布近似表现,具有比其他估计器更低的估计误差,能够确定出更接近真实值的概率密度函数估计值。展开更多
基金supported by a grant from the Science and Technology Bureau of Jilin Province,China (No.20050531)
文摘A new method for the determination of effective flange width under uniform load on simply supported box girder bridges considering shear lag effect is proposed in this paper. Based on the Symplectic Elasticity method, the flange slab of the box girder is simplified into a plane stress plate. Using equilibrium conditions of the plates, the Hamilton dual equations for top plate element is established. The analytical formulas of each plate element considering shear lag effect are derived. The closed polynomial effective width expression of flange slab under uniform load on the whole span length has been obtained. Through examples using the finite element method, the results obtained by the proposed method are examined and the accuracy of the proposed method is verified.
文摘区别于经典的基于Parzen窗口法的概率密度函数估计器构建策略,提出了基于近邻误差度量函数的启发式核密度估计器(Heuristic kernel density estimator,HKDE),用以提升对模相近数据概率密度函数拟合的准确性。首次从数据不确定性和模型不确定性的角度分析了传统核密度估计器解决模相近数据概率密度函数估计问题时的缺陷:利用概率密度值对于直方图箱宽参数的收敛性确定观测数据的启发式概率密度值,降低数据概率密度值计算的不确定性;基于启发式概率密度值构建用于确定核密度估计器最优带宽的目标函数,降低最优带宽优化过程中的不确定性。在18个模相近数据集上对新估计器HKDE的可行性、合理性和有效性进行了系统性的验证。实验结果表明,与7种具有代表性的概率密度函数估计器相比,HKDE能够获得更加优异的概率分布近似表现,具有比其他估计器更低的估计误差,能够确定出更接近真实值的概率密度函数估计值。
