体外预应力加固简支梁自振频率计算

doi:10.13229/j.cnki.jdxbgxb20180875

吉林大学学报(工学版) ›› 2019, Vol. 49 ›› Issue (6): 1884-1890.doi: 10.13229/j.cnki.jdxbgxb20180875

体外预应力加固简支梁自振频率计算

钟春玲¹(),梁东²,张云龙³,王静³()

1. 吉林建筑大学经济与管理学院，长春 130118
2. 吉林建筑大学土木工程学院，长春 130118
3. 吉林建筑大学交通科学与工程学院，长春 130118

收稿日期:2018-07-25 出版日期:2019-11-01 发布日期:2019-11-08
通讯作者: 王静 E-mail:420519613@qq.com;wangjing0062@sina.com
作者简介:钟春玲(1973-)，女，教授，博士生导师.研究方向：体外预应力结构设计理论.E-mail:420519613@qq.com
基金资助:
国家自然科学基金项目(51478203);吉林省科技发展计划项目(20190303138SF);吉林省教育厅“十三五”科学技术项目(JJKH20190875KJ)

Calculation of natural vibration frequency of simply supported beam strengthened by external prestressing

Chun-ling ZHONG¹(),Dong LIANG²,Yun-long ZHANG³,Jing WANG³()

1. College of Economics and Management，Jilin Jianzhu University，Changchun 130118，China
2. College of Civil Engineering，Jilin Jianzhu University，Changchun 130118，China
3. College of Transportation Science and Engineering，Jilin Jianzhu University，Changchun 130118，China

Received:2018-07-25 Online:2019-11-01 Published:2019-11-08
Contact: Jing WANG E-mail:420519613@qq.com;wangjing0062@sina.com

摘要/Abstract

摘要：

为了探索体外预应力简支梁自振频率变化的内在机理，基于结构振动基本原理和哈密尔顿原理，推导了偏心直线布筋的体外预应力简支梁自振频率计算公式。利用ANSYS建立有限元模型，并对其进行模态分析，分析结果表明：采用本文方法计算偏心直线布筋的体外预应力简支梁自振频率是可靠的，对揭示体外预应力简支梁自振频率的变化规律有重要意义。

关键词: 桥梁工程, 简支梁, 体外预应力, 自振频率

Abstract:

In order to explore the internal mechanism of the natural vibration frequency of externally prestressed simply supported beams, the calculation formula of the natural vibration frequency of externally prestressed simply supported beams with eccentric linear reinforcement is derived based on the basic principle of structural vibration and the Hamilton principle. The finite element model is established in ANSYS and its modal analysis is carried out. The analysis results show that the calculation of the natural vibration frequency of the externally prestressed simply supported beam for the eccentric linear reinforcement is reliable according to the calculation theory given in this paper. It provides a new calculation method for the calculation of the natural vibration frequency of externally prestressed simply supported beams, and it is of great significance to reveal the variation law of the natural vibration frequency of externally prestressed simply supported beams.

Key words: bridge engineering, simply supported beam, external prestress, natural frequency

中图分类号:

U441

钟春玲,梁东,张云龙,王静. 体外预应力加固简支梁自振频率计算[J]. 吉林大学学报(工学版), 2019, 49(6): 1884-1890.

Chun-ling ZHONG,Dong LIANG,Yun-long ZHANG,Jing WANG. Calculation of natural vibration frequency of simply supported beam strengthened by external prestressing[J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 1884-1890.

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频率	解析解/Hz	ANSYS解/Hz	误差/%
一阶	6.7947	6.739	0.82
二阶	27.1786	24.301	10.59

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体外预应力加固简支梁自振频率计算

Calculation of natural vibration frequency of simply supported beam strengthened by external prestressing

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