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旨在开发一个简化公式,用于双向剪压作用下简支板的临界屈曲应力计算。运用经典板理论和里兹法对不同面积比的板临界应力进行计算。根据二维平面内应力关系,由经验判断推出四维临界应力公式,该公式表现为3个平面内应力和面积比的关系。计算结果表明:1)面积比在1~2时,临界应力与面积比成线性关系,2~5时为非线性关系;2)当剪切应力接近其临界值时,临界应力关系呈现更明显的线性变化趋势,同时面积比对其影响减弱。
The aim is to develop a simplified formula for the calculation of the critical buckling stress of simply supported plates under biaxial compression. The critical stress of the board with different area ratios was calculated using the classical board theory and the Ritz method. According to the relationship between two-dimensional in-plane stresses, a four-dimensional critical stress formula is deduced from empirical judgments. The formula shows the relationship between three plane intrinsic stress and area ratio. The calculation results show that: 1) When the area ratio is between 1 and 2, the critical stress is proportional to the area ratio, and from 2 to 5, the relationship is nonlinear; 2) When the shear stress approaches its critical value, the critical stress relationship becomes more apparent. The linear trend of change, while its area ratio has less effect on it.