体外预应力梁动力特性的能量法分析

方德平;王全凤

振动与冲击 ›› 2012, Vol. 31 ›› Issue (1) : 177-180.

PDF(907 KB)
PDF(907 KB)
振动与冲击 ›› 2012, Vol. 31 ›› Issue (1) : 177-180.
论文

体外预应力梁动力特性的能量法分析

  • 方德平;王全凤
作者信息 +

Analysis of dynamic behavior of externally prestressed beam by energy method

  • Fang De-ping; Wang Quan-feng
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文章历史 +

摘要

不引入解析法中体外筋预拉力增量与梁中点振动位移成正比的假设,提出用能量法分析体外预应力梁动力特性。由于不引入解析法中的假设,梁自振频率也更准确,与数值解吻合良好。计算结果表明:解析法低估了体外筋对第1自振频率效应;高估了对第2自振频率效应;体外预应力筋对第1自振频率影响较大,对高阶的频率影响很小,可以不考虑其影响;随着体外筋面积和偏心距的增加,梁的第1自振频率也随之增加。在理论上,体外预应力能减小梁的自振频率,而体内预应力对梁的自振频率没有影响

Abstract

The assumption in the analytical method is not adopted, that is, the prestress increment of external tendon is proportional to the mid-span vibration displacement of the beam. The energy method to analyze the dynamic behavior of externally prestressed beam is presented. Due to not adopting the assumption in the analytical method, the natural vibration frequencies are more accurate, and conform well to the numerical results. The calculation results show: the effect of external tendon on 1st frequency is underestimated, and the effect on 2nd frequency is overestimated by the analytical method; the influence of externally prestressed tendon on 1st frequency is significant, the influence on higher frequencies is slight and can be neglected; with increasing the area and the eccentricity of external tendon, the frequency of the beam increases. Theoretically, the external prestress can reduce the 1st frequency of beam, but internal prestress has no influence on the frequency of beam.

关键词

简支梁 / 体外预应力 / 能量法 / 自振频率 / 动力分析

Key words

Simple beam / external prestress / energy method / natural vibration frequency / dynamic analysis

引用本文

导出引用
方德平;王全凤. 体外预应力梁动力特性的能量法分析[J]. 振动与冲击, 2012, 31(1): 177-180
Fang De-ping;Wang Quan-feng. Analysis of dynamic behavior of externally prestressed beam by energy method[J]. Journal of Vibration and Shock, 2012, 31(1): 177-180

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