任意有限个平行移动荷载作用下简支梁绝对最大挠度的解析算法研究

Research on analytic solution of absolute maximum deflection of simply supported beam subjected to any finite moving loads

利用能量原理中的最小势能原理以及多元函数的极值原理,得到了简支梁在任意有限个平行移动荷载作用下的挠度方程与绝对最大挠度的解析算式。建立的可能位移函数既满足了位移几何边界条件,又满足了静力边界条件,故足可以保证简支梁的挠度计算精度。

By using the principle of minimum potential energy and the principle of extreme of multi-variable function ,an analytic equation was obtained in this aticle . It deals with the deflection equation and absolute maximum deflection of simply supported beam subjected to any finite parallel moving loads.The possible displacement function given in this article suits both the geometrically displacement boundary condition and the static boundary condition ,so the precision on calculating deflection of simply supported beam can be guaranteed.