基于各向异性材料的全预应力梁自振频率的研究

研究目的：探讨从各向异性材料的角度，对全预应力梁中力筋预应力和自振频率间的相关关系进行分析研究，为进一步开展预应力梁的动测技术研究打下基础。研究方法：将预应力混凝土梁按各向异性复合材料进行理论分析和计算。 研究结果：推导出铁木辛柯型预应力梁的自振频率的计算公式。 研究结论：本文的分析方法和计算公式能比较好地反映梁的自振频率随预应力增加而增加的变化趋势，计算的结果与试验数据吻合较好，前二阶频率的计算具有较高的精度。在进行全预应力混凝土梁自振频率的研究中，将混凝土材料看作各向异性复合材料进行分析是可行的。

Research on Vibration Frequency of Full-prestressed Concrete Beam Based on Anisotropic Complex Material

Research purposes: The paper analyzed and studied the relation of strand prestressing force and vibration(frequency) of full-prestressed concrete beam as anisotropic complex material.The further studies on dynamic test(technology) will base on the results of this paper.Research methods:We precede theory analysis and calculation regarding prestressed concrete as anisotropic complex material.Research results:We deduce the formula of natural vibration frequency of Timoshenko beam.Research conclusions:The calculation results indicate that the analytical method and formula of this paper can reflect the tendency that natural vibration frequency of beam increases with the increment of prestressing force well.Meanwhile,the results of calculation can agree with the results of experiment well.The natural vibration frequency and the second vibration frequency show relatively better accuracy.So,what we regard concrete material as anisotropic complex material is feasible and need further studies on it.