钢筋混凝土深梁频率特性的近似计算方法  

An algorithm for frequency characteristics of reinforced concrete deep beam

作　　者：楼梦麟[1] 张月香[1] 

机构地区：[1]同济大学土木工程防灾国家重点实验室,上海200092

出　　处：《计算力学学报》2005年第2期141-144,共4页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(50279031)资助项目.

摘　　要：讨论了纵向通长钢筋对等截面钢筋混凝土深梁自振频率的影响。首先建立了钢筋混凝土深梁的求解方程,然后提出了求解Timoshenko梁特征值问题的模态摄动法,最后通过算例,说明不同含钢率下钢筋混凝土深梁的自振特性的变化情况。算例表明,若忽略纵向通长钢筋的影响,计算所得的钢筋混凝土深梁的振动特征值将产生较大的误差。The reinforcement effect on the natural frequencies of reinforced concrete deep beam is discussed in this paper. First, the modal perturbation method based on Ritz vectors is applied to solve the dynamic characteristics of Timoshenko deep beam including the effects of shear deformation and rotational inertia. Afterward, the effects of varying steel content on the dynamic characteristics of reinforced concrete deep beam is discussed by numerical examples. It is concluded from the numerical results that the effect of reinforcement shouldn't be neglected in the dynamic analysis of reinforced concrete deep beam. Otherwise, severe error in the lower natural frequencies of the beam will be introduced.

关 键 词：钢筋混凝土梁 特征值 模态摄动法 

分 类 号：O321[理学—一般力学与力学基础]