考虑支座宽度影响多跨连续深梁用和函数法的级数解答

Series Solution of Sum Function Method for Multi-span Continuous Deep Beam Considering Effect of Supported Width Condition

引用一种新的解析法—和函数法求解弹性力学问题,对多跨连续深梁受均布荷载作用时的应力进行了分析,同时,考虑支座宽度的影响,消除解答在下边界某些点上的发散性且满足结构整体的平衡条件,从而更能反映结构的实际应力分布状况,该方法不涉及Airy应力函数。将传统的解析方法用于解决工程实际问题开辟了新途径。

A new analytical method with sum function is introduced for solving problems of elasticity. The stress analysis of multi-span continuous deep beam subjected to distributed load has been performed. Meanwhile, considering effect of supported width, the divergence of solution on some bottom boundary points is eliminated and the static equilibrium as a whole is reflected. The present method has no coherence with Airy stress function, which provides a new approach for traditional elasticity analytical method apply to solving the practical engineering problems.