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研究复合材料斜交层板的柱状弯曲问题,建立新的数值计算方法。在厚度方向,利用翘曲修正理论,推导出了层板面内位移的两个序列分布规律;在长度方向,采用升阶谱位移函数,应用最小势能原理,给出了层板柱状弯曲的特殊有限元模型。通过典型例题的计算表明:应力、位移在厚度方向的分布计算结果与精确弹性解符合很好。本文方法的自由度少,方法简单,优于一阶剪切理论、高阶理论,适用于解决层板弯曲问题。
Studied the columnar bending problem of the composite cross slab, and established a new numerical method. In the direction of thickness, warping correction theory was used to deduce the distribution rule of two series displacement in laminar plane. In the length direction, using the function of ascending spectral displacement and the principle of minimum potential energy, Finite element model. The calculation of typical examples shows that the distribution of stress and displacement in the thickness direction is in good agreement with the exact solution. This method is less flexible, simple method, better than the first-order shear theory, high-order theory, suitable for solving the laminar bending problem.