铁道学报
鐵道學報
철도학보
Journal of the China Railway Society
2015年
10期
83-91
,共9页
桥梁工程%悬臂板箱梁%混合变分原理%扭转%畸变%剪切变形
橋樑工程%懸臂闆箱樑%混閤變分原理%扭轉%畸變%剪切變形
교량공정%현비판상량%혼합변분원리%뉴전%기변%전절변형
bridge engineering%box girder with cantilever flange%mixed variational principle%torsion%distor-tion%shear deformation
为研究悬臂板对薄壁箱梁扭转和畸变效应的影响,本文基于广义坐标法建立位移模式和几何方程,采用混合变分原理,建立开闭口混合截面薄壁杆件扭转和畸变的分析理论,该理论能充分考虑剪切变形的影响。分析带悬臂板箱梁剪力流的分布和组成,对比统一剪力流的2种计算方法,研究悬臂板的内力状态及影响。结果表明:悬臂板对扭转和畸变效应的贡献主要体现在其扇形惯性矩所占的比例;悬臂板使闭口箱的翘曲正应力产生明显重分布;悬臂板使剪切变形影响增大,且这种影响随悬臂翼缘板的增长而增大;对于常规薄壁箱梁桥,悬臂板的贡献不可忽略。
為研究懸臂闆對薄壁箱樑扭轉和畸變效應的影響,本文基于廣義坐標法建立位移模式和幾何方程,採用混閤變分原理,建立開閉口混閤截麵薄壁桿件扭轉和畸變的分析理論,該理論能充分攷慮剪切變形的影響。分析帶懸臂闆箱樑剪力流的分佈和組成,對比統一剪力流的2種計算方法,研究懸臂闆的內力狀態及影響。結果錶明:懸臂闆對扭轉和畸變效應的貢獻主要體現在其扇形慣性矩所佔的比例;懸臂闆使閉口箱的翹麯正應力產生明顯重分佈;懸臂闆使剪切變形影響增大,且這種影響隨懸臂翼緣闆的增長而增大;對于常規薄壁箱樑橋,懸臂闆的貢獻不可忽略。
위연구현비판대박벽상량뉴전화기변효응적영향,본문기우엄의좌표법건립위이모식화궤하방정,채용혼합변분원리,건립개폐구혼합절면박벽간건뉴전화기변적분석이론,해이론능충분고필전절변형적영향。분석대현비판상량전력류적분포화조성,대비통일전력류적2충계산방법,연구현비판적내력상태급영향。결과표명:현비판대뉴전화기변효응적공헌주요체현재기선형관성구소점적비례;현비판사폐구상적교곡정응력산생명현중분포;현비판사전절변형영향증대,차저충영향수현비익연판적증장이증대;대우상규박벽상량교,현비판적공헌불가홀략。
In order to investigate the influence of cantilever flange on the torsion and distortion of thin‐walled box girder ,based on the generalized coordinate principle ,displacement model and geometric equation were es‐tablished .Using the mixed variational principle ,a new theory was presented to analyze the torsion and distor‐tion of thin‐walled girder with open and closed cross‐section ,which can sufficiently take account of the influ‐ence of shear deformation . The distribution and composition of shear flow on the box girder with cantilever flanges were analyzed ,and the two calculation methods to derive the shear flow were compared and unified to study the internal force state of cantilever flange and its influence . The results showed that the contribution of cantilever flanges to the torsion and distortion effect was mainly reflected in the proportion of warping moment of inertia . The cantilever flanges caused the significant redistribution of torsion and distortion warping stress of closed cross‐section . T he cantilever flanges caused the increase of shear deformation effect . T his effect in‐creased with the increase of the cantilever flanges . The contribution of cantilever flanges can not be neglected for the common box‐girder bridges .