简支板梁桥动挠度分析

On dynamic deflection of simply supported slab bridge

根据简支板梁的振动方程,利用振型分解法推导出简支板梁在移动荷载作用下动挠度的公式,求得板梁跨中挠度的解析解;建立空心板梁的有限元模型,得到跨中挠度的数值解,通过比较解析解和数值解,并与桥规进行对照,验证了解析解的正确性。

According to oscillation equation of simply supported slab, the paper deduces the oscillation equation formula of the slab under moving load by using modal analysis method, and thus acquires the analytic solution of slab＇s deflection, it also establishes finite mode of hollow slab, thus acquires numerical solution of midspan deflection. Through comparing analytic solution with numerical solution and comparing bridge gauge, the paper verifies correctness of analytic solution.