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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 local buckling of the steel plate under compressive and flexural loads, the unilateral buckling model of rectangular plate under non-loaded rotational constraint and linear distributed pressure was established. The polynomial and harmonic function combined displacement function was used to calculate the unilateral flexural strength of a rectangular plate with rotational restraint under non-loaded boundary under linear distributed load using the Rayleigh-Leitz energy method. Compared with the bilateral buckled rectangular plates with the same traditional boundary conditions, the unilateral buckling strength increased by 37% -58% compared with the bilateral buckling strength. Based on the relationship between buckling strength and restraint coefficient, the calculation formula is simplified by regression analysis method, and the practical formula for calculating the buckling strength is proposed. Experiments have shown that the calculated value of the simplified formula and the ratio of the test value of 0.76 ~ 1.22, an average of 1.03, both agree well, the validity of the formula was verified.