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楼梦麟,张月香.钢筋混凝土深梁频率特性的近似计算方法[J].计算力学学报,2005,22(2):141~144
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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
  修订日期:2003-05-09
DOI:10.7511/jslx20052029
中文关键词:  钢筋混凝土梁  特征值  模态摄动法
英文关键词:reinforced concrete deep beam,dynamic characteristics,modal perturbation method
基金项目:国家自然科学基金(50279031)资助项目.
楼梦麟  张月香
同济大学土木工程防灾国家重点实验室,上海200092
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中文摘要:
      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。
英文摘要:
      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.
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