为研究内填混凝土钢箱构件在受压、受弯荷载下其组成钢板局部屈曲问题,建立了非受载边转动约束、线性分布压力下矩形板单侧屈曲模型,选取满足矩形板变形边界条件的多项式与调和函数组合位移函数,利用瑞利—里兹能量法导出了非受载边界为转动约束的矩形板在线性分布荷载下的单侧屈曲强度计算公式。与传统边界条件相同的双侧屈曲矩形板比较,单侧屈曲强度比双侧屈曲强度提高37%-58%。基于屈曲强度与约束系数的关系,利用回归分析方法对计算公式进行了简化,提出了约束系数表达的屈曲强度计算实用公式。已有试验表明,简化公式计算值与试验值之比在0.76-1.22,平均1.03,两者吻合良好,计算公式的有效性得到验证。
In order to study the elastic unilateral buckling of rectangle plate with restrainted rotation along unloaded edges under linear pressure of steel box concrete composite beam,a proper buckling displacement function was chosen,and a set of critical load formulas for unilateral buckling rectangular plate was obtained by the Ritz variation method. Unilateral buckling strength was 37% -58% larger than bilateral buckling strength for rectangular plate of the same boundary. Based on the relationship of buckling strength and retrained coefficient,the formulas were simplified by the regression analysis method. Therefore the formulas are concise and convenient for application. Some test results show that the ratio of the calculated value and test value is between 0. 76 and 1. 22,and that the average is 1. 03. The predicted values are in good agreements with the test results,so the validity of the formulas is verified.