作　　者： ; ; ;

机构地区： 广东工业大学土木与交通工程学院

出　　处： 《佛山科学技术学院学报（自然科学版）》 2010年第2期12-17,共6页

摘　　要： 基于能量变分原理,研究了考虑剪力滞效应简支箱梁的自振特性,推导了箱梁考虑剪力滞效应影响的强迫振动控制微分方程及自然边界条件,假设简支箱梁的振型函数为正弦函数,得出其固有频率方程,提出固有频率精确解的实用计算公式。以一简支箱梁的固有频率方程求解为例,与其他方法的计算结果进行比较,证明了本文方法具有更高精度。同时探讨了剪力滞效应对简支箱梁自振特性的影响,得出了一些有益的结论。 Based on the energy variation principle, this paper discusses the natural vibration properties of shear lag effect for simply supported box girder and the forced vibration governing differential equations and the corresponding boundary conditions of box girder with consideration of the shear lag effect are induced. It is assumed the vibration mode shape function be the sine function, and the natural frequency equations are obtained for simply-supported box girder and the practical calculating formula for exact solution to natural frequency has been proposed. The natural frequency equations for simply-supported box girder is solved in the calculation example, and it is proved that the method used is more precise when compared with the calculated results of other methods. The influence of shear lag effect on natural vibration properties of simply-supported box girder is discussed and some useful conclusions have been drawn.

关 键 词： 简支箱梁 剪力滞效应 自振特性 变分原理

领　　域： [建筑科学] [交通运输工程]