基于非协调强化假定应变单元的U形薄壳渡槽槽身受力分析  

Analysis of the Stress for U-Shaped Thin Shell Aqueduct Based on Strain Unit of Non-Harmonious Strengthening Supposition

作　　者：曹广德[1] 李同春[1] 夏颂佑[1] 

机构地区：[1]河海大学水利水电工程学院

出　　处：《中国农村水利水电》2005年第10期50-53,共4页China Rural Water and Hydropower

摘　　要：引入安得费格(Andelfinger)提出的三维非协调强化假定应变等参单元用于求解U形薄壳渡槽槽身的应力变形,提出了根据单元应力及内力平衡条件直接求解U形薄壳渡槽槽身指定截面上的约束内力,并进而求解相应截面上的弯矩、轴力、剪力等的有效分析方法,探讨了强化假定应变单元(EAS)应变模式的取项多少对计算结果的影响。算例分析结果表明常规的等参单元和只考虑正应变在相应坐标轴上线性变化的威尔逊非协调单元得出的支座附近截面上的横向内力误差较大,而同时考虑正应变及剪应变在相应坐标轴上线性变化的安得费格非协调强化假定应变单元可得出合理的结果。In this paper, the isoparametric strain unit of three-dimensional non-harmonious strengthening supposition proposed by Andelfinger is used to solve the stress strain of U shaped thin shell aqueduct. The effective analysis method to solve the constraint internal force and the related torture moment, axis force, and shearing force at the corresponding section according to the unit stress and internal force balance is proposed. The influences of items of strain mode of strengthening supposition strain unit on the calculation results are discussed. Case study shows that the cross-sectional internal force errors at the section near the support derived by conventional iso-parametric unit and only considering positive stain at corresponding coordinate axis Wilson non-harmonious unit of linear diversification are quite big; while considering linear diversification at corresponding axis of both positive strain and shear strain by Andelfinger non-harmonious strengthening supposition can derive rational results.

关 键 词：协调强化假定应变单元 U形薄壳渡槽 槽身 应力 内力 

分 类 号：TV672.3[水利工程—水利水电工程]