CAJ | 학술논문

通过对3种翼板分设不同的纵向位移差函数，并假定纵向位移沿横向分布规律为三次抛物线，计算外力势能时考虑荷载横向作用位置的影响，然后根据能量变分法，分别推导出集中、均布荷载横向变位时简支梁的应力和剪滞系数公式，本文方法计算结果与有限元模型结果吻合良好，验证了本文所作假定和理论推导的正确性。荷载横向变位时剪滞系数沿纵向的变化曲线表明：荷载由腹板顶部向顶板中心移动时，顶板受影响最明显，且由负剪滞效应变为正剪滞效应，腹板则相反；均布荷载作用下，越靠近支点剪滞效应越大，集中力作用下，作用位置局部区域内剪滞效应影响较大，其他区域几乎无影响，荷载作用点由腹板靠近顶板中心时，剪滞影响范围逐渐增大。
통과대3충익판분설불동적종향위이차함수，병가정종향위이연횡향분포규률위삼차포물선，계산외력세능시고필하재횡향작용위치적영향，연후근거능량변분법，분별추도출집중、균포하재횡향변위시간지량적응력화전체계수공식，본문방법계산결과여유한원모형결과문합량호，험증료본문소작가정화이론추도적정학성。하재횡향변위시전체계수연종향적변화곡선표명：하재유복판정부향정판중심이동시，정판수영향최명현，차유부전체효응변위정전체효응，복판칙상반；균포하재작용하，월고근지점전체효응월대，집중력작용하，작용위치국부구역내전체효응영향교대，기타구역궤호무영향，하재작용점유복판고근정판중심시，전체영향범위축점증대。
The three diverse wings had different longitudinal displacement difference functions,and the laws of the longitudinal displacements’distribution functions were assumed to follow cubic parabola.Consequently,the potential energy of external forces was calculated by considering the influence of lateral loading positions,and then the formulas of stress and shear lag coefficient under concentrated or uniform load were derived with energy variational method.The results of the presented method in this paper are in good agreement with those from the finite element method,which verifies the correctness of the formulas and hypotheses.The curve of shear lag coef-ficient along longitudinal direction shows that the top plate is influenced most obviously,varying from the nega-tive shear lag effect to the positive when the load moves from the web to the top plate,while the web is just the opposite.The shear lag effect is more significant when the loading position is closer to the pivot under uniform load.While under concentrated load,the shear lag effect is obvious around the local areas of the loading position but it can be neglected in other areas.Meanwhile,the affected areas get wider when the loading position is mov-ing from the web to the center of top plate.