广西大学学报（自然科学版）
廣西大學學報（自然科學版）
엄서대학학보（자연과학판）
JOURNAL OF GUANGXI UNIVERSITY （NATURAL SCIENCE EDITION）
2014年
4期
755-759
,共5页
两室薄壁箱梁%约束扭转%畸变%广义坐标法%哈密顿对偶求解体系%精细积分法
兩室薄壁箱樑%約束扭轉%畸變%廣義坐標法%哈密頓對偶求解體繫%精細積分法
량실박벽상량%약속뉴전%기변%엄의좌표법%합밀돈대우구해체계%정세적분법
dual-chamber thin-walled box girder%bend torsion%distortion%generalized coordinates method%Hamilton dual solving system%precise integration method
针对目前箱梁桥某些横截面常因较大的畸变作用而产生明显变形,进而严重影响了桥梁的正常使用性能的情况,通过将符拉索夫广义坐标法与哈密顿对偶求解体系结合起来,并采用两端边值问题的精细积分法,求得考虑畸变时两室薄壁箱梁约束扭转问题中截面的翘曲正应力、畸变角及扭转角的高精度数值解,给出了截面的变形图,并通过实例进行了验证。在算例中,该悬臂梁自由端不考虑畸变时的扭转角为0.0017 rad,与考虑畸变时的扭转角0.0366 rad 相比明显偏小,这就表明在实际工程中考虑畸变是非常必要的。该方法计算简单、适用性强,为结构设计人员提供一种新的分析结构的理论,可方便用于考虑畸变时两室薄壁箱梁约束扭转的计算。
針對目前箱樑橋某些橫截麵常因較大的畸變作用而產生明顯變形,進而嚴重影響瞭橋樑的正常使用性能的情況,通過將符拉索伕廣義坐標法與哈密頓對偶求解體繫結閤起來,併採用兩耑邊值問題的精細積分法,求得攷慮畸變時兩室薄壁箱樑約束扭轉問題中截麵的翹麯正應力、畸變角及扭轉角的高精度數值解,給齣瞭截麵的變形圖,併通過實例進行瞭驗證。在算例中,該懸臂樑自由耑不攷慮畸變時的扭轉角為0.0017 rad,與攷慮畸變時的扭轉角0.0366 rad 相比明顯偏小,這就錶明在實際工程中攷慮畸變是非常必要的。該方法計算簡單、適用性彊,為結構設計人員提供一種新的分析結構的理論,可方便用于攷慮畸變時兩室薄壁箱樑約束扭轉的計算。
침대목전상량교모사횡절면상인교대적기변작용이산생명현변형,진이엄중영향료교량적정상사용성능적정황,통과장부랍색부엄의좌표법여합밀돈대우구해체계결합기래,병채용량단변치문제적정세적분법,구득고필기변시량실박벽상량약속뉴전문제중절면적교곡정응력、기변각급뉴전각적고정도수치해,급출료절면적변형도,병통과실례진행료험증。재산례중,해현비량자유단불고필기변시적뉴전각위0.0017 rad,여고필기변시적뉴전각0.0366 rad 상비명현편소,저취표명재실제공정중고필기변시비상필요적。해방법계산간단、괄용성강,위결구설계인원제공일충신적분석결구적이론,가방편용우고필기변시량실박벽상량약속뉴전적계산。
Aiming at the situation that the obvious deformation of box girder because of some cross-section distortion seriously affects the normal performance of a bridge, combining the Vlasov general-ized coordinate method and the Hamilton duality solution system, and using the precise integration method for two-point boundary value problems, a high precision numerical solution of the warping normal stress of the cross section was obtained. The distortion angle and twist angle in the restrained torsion of dual-chamber thin-walled box beam considering distortion and the deformation figure of cross section are given, and they were verified by an example. The torsion angle of the cantilever at the free end is 0. 001 7 rad not considering distortion in the case. It is significantly smaller than the torsion angle of 0. 036 6 rad considering distortion. This suggests that distortion should be taken into account in engineering. This method is simple in calculation and has good applicability, which pro-vides a new structure analysis theory for designers, and it can be conveniently used for the calcula-tion of restrained torsion of dual-chamber thin-walled box beams considering distortion.
