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在提出的板形判别条元法的基础上,引入节线二阶导数连续和自由边的力边界条件,导出挠度函数的改进模型,使挠度函数及其一阶和二阶导数都可以仅用节线挠度表示,而不必再用节线挠度及其一阶导数表示,从而使未知数减少一半。根据静力学最小势能原理,导出板形判别的计算模型,使特征矩阵从原来的2(n+1)阶降低到目前的(n+1)阶,提高了计算速度。又从动力学原理出发,推导得到相同的计算模型,进一步证明了计算模型的正确性,最后用实际算例验证了模型。
On the basis of the tabular stripe element method proposed in this paper, the boundary conditions of the continuous and free edge of the second derivative of the nodal line are introduced to derive the improved model of the deflexion function so that the deflexion function and its first and second derivatives can be used only The line deflection is expressed without having to be expressed by the deflection of the pitch line and its first derivative, reducing the unknowns by half. According to the principle of minimum potential energy of statics, the computational model of plate shape discrimination is deduced, which reduces the characteristic matrix from the original 2 (n + 1) th order to the current (n + 1) th order, and increases the calculation speed. Based on the principle of dynamics, the same calculation model is deduced, which proves the correctness of the calculation model. Finally, the actual model is used to verify the model.