边梁效应的数值模拟

应用Fourier级数方法分析了具有边梁加固的板的弯曲问题，获得了Levy型的准确解，并利用该解模拟了边梁的效应，给出了板的挠度、糨矩及剪力等受边梁刚度影响的数值结果。结果表明：（1）忽略边梁的抗扭能力将导致显著的误差;(2)边梁的抗弯、抗扭性能应综合考虑，而不应作为两个相互独立的因素，否则将会出现板的挠度、内力等随边梁刚度的增大而增大的不合理现象。

Numerical simulation of the responses of boundary beams

The bending of plates with edges strengthened by beams is analyzed by Fourier Method to produce a Levy-type solution. The responses of the boundary beams are simulated numerically and the numerical results of the infections of the rigidities of the beams to the displacements, moments and shearing forces of the plates are presented as well. The results show that a rceglect of the torsional rigidity will give rise to notable errors. The relationship between bending rigidity and torsional rigidity of the beams should be further considered or the irrational displacements, moments and shearing forces of the plates will increa withas the rigidity of the beams increases.