配置直线不等长预应力筋简支梁自振频率研究

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摘要基于结构振动的基本理论，利用梁的自由振动方程，推导出了直线不等长预应力筋简支梁自振频率的理论计算公式。以某桥为背景，对该桥2片预应力混凝土空心板梁进行了模态试验，并用有限元软件ANSYS对该试验梁进行模态分析。结果表明：实测值、有限元分析值和理论公式计算值三者吻合良好，证明了所推导的公式对计算直线不等长预应力筋简支梁前两阶振动频率是合理准确的。最后结合理论计算公式和有限元模型分析了预加应力和预应力筋偏心距对不等长预应力筋简支梁自振频率的影响。

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	郭凯强1
	贾艳敏1
	于广龙1
	王佳伟2
	张冠华2

关键词 ：不等长预应力筋简支梁, 自振频率, 模态试验, 有限元, 模态分析

Abstract：Based on the basic theory of structural vibration,the theoretical calculation formula for natural frequencies of a simply supported beam with straight unequal pre-stressed reinforcements was deduced using the free vibration equation of beams. Taking a certain bridge as the engineering background,modal tests for two pre-stressed concrete hollow slab beams of this bridge were conducted,and modal analyses were done for these two tested beams with the finite element (FE) software ANSYS. The results showed that measured values,FE analysis values and calculation values using the theoretical calculation formula agree well with each other; the deduced formula is reasonable and accurate to calculate the first two-order vibration frequencies of the simply supported beam with straight unequal pre-stressed reinforcements. Finally,the effects of pre-stress and eccentricity of pre-stressed reinforcement on natural frequencies of a simply supported beam with straight unequal pre-stressed reinforcements were analyzed using the theoretical calculation formula and the FE model.

Key words： simple supported beam with straight unequal pre-stressed reinforcements natural frequency modal test finite element (FE) modal analysis

收稿日期: 2017-04-10 出版日期: 2018-08-28

引用本文:

郭凯强1,贾艳敏1,于广龙1,王佳伟2,张冠华2. 配置直线不等长预应力筋简支梁自振频率研究[J]. 振动与冲击, 2018, 37(17): 230-235.
GUO Kaiqiang1, JIA Yanmin1, YU Gunglong1, WANG Jiawei2，ZHANG Guanhua2. Natural frequencies of simply supported beams with straight unequal pre-stressed reinforcements. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(17): 230-235.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2018/V37/I17/230

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