东北大学学报（自然科学版）
東北大學學報（自然科學版）
동북대학학보（자연과학판）
JOURNAL OF NORTHEASTERN UNIVERSITY（NATURAL SCIENCE）
2015年
8期
1204-1207,1216
,共5页
桥梁工程%组合箱梁%能量变分原理%剪力滞效应%翘曲位移函数%剪力滞系数
橋樑工程%組閤箱樑%能量變分原理%剪力滯效應%翹麯位移函數%剪力滯繫數
교량공정%조합상량%능량변분원리%전력체효응%교곡위이함수%전력체계수
bridge engineering%steel and concrete composite box girder%energy variation principle%shear lag effect%warping displacement function%shear lag coefficient
根据钢与混凝土组合箱形结构翘曲位移函数设置的基本原理，选择一系列符合组合箱梁基本翘曲模式的抛物线型翘曲位移函数，以最小势能原理为基础，得到利用变分法分析钢与混凝土组合箱梁剪力滞效应的控制微分方程和边界条件，并推导了典型的简支组合箱梁在跨中集中荷载作用下的解析解。静力分析算例结果证明了选择二次抛物线型为翘曲位移函数的合理性和适用性。将解析解与实测结果和有限元计算结果进行比较，证明了本文方法的有效性。基于能量原理得到的计算公式能够满足工程实际的需要，且计算较为简单。
根據鋼與混凝土組閤箱形結構翹麯位移函數設置的基本原理，選擇一繫列符閤組閤箱樑基本翹麯模式的拋物線型翹麯位移函數，以最小勢能原理為基礎，得到利用變分法分析鋼與混凝土組閤箱樑剪力滯效應的控製微分方程和邊界條件，併推導瞭典型的簡支組閤箱樑在跨中集中荷載作用下的解析解。靜力分析算例結果證明瞭選擇二次拋物線型為翹麯位移函數的閤理性和適用性。將解析解與實測結果和有限元計算結果進行比較，證明瞭本文方法的有效性。基于能量原理得到的計算公式能夠滿足工程實際的需要，且計算較為簡單。
근거강여혼응토조합상형결구교곡위이함수설치적기본원리，선택일계렬부합조합상량기본교곡모식적포물선형교곡위이함수，이최소세능원리위기출，득도이용변분법분석강여혼응토조합상량전력체효응적공제미분방정화변계조건，병추도료전형적간지조합상량재과중집중하재작용하적해석해。정력분석산례결과증명료선택이차포물선형위교곡위이함수적합이성화괄용성。장해석해여실측결과화유한원계산결과진행비교，증명료본문방법적유효성。기우능량원리득도적계산공식능구만족공정실제적수요，차계산교위간단。
Based on the basic principle of warping displacement function setting,a series of parabolic warping displacement functions that meet the basic warping mode of concrete composite box girders were selected for the proposed approach.The energy variation principle was applied to establish the governing differential equations and corresponding natural boundary conditions in consideration of the effect of shear lag.Then the analytical solutions to typical simply supported composite girders under mid-span concentrated load were derived.The static calculation examples verified the rationality and applicability of selecting quadratic parabolic warping displacement functions.Meanwhile,the measured results and the analytical solutions were compared with the finite element calculations so as to confirm the effectiveness of the approach.The calculation formula based on energy principle can meet the practical needs in engineering and the calculation is simple.
