体外预应力加固简支梁自振频率计算

doi:10.13229/j.cnki.jdxbgxb20180875

Abstract

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

CLC Number:

U441

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.

Figures/Tables 7

Fig.1

Fig.2

Table 1

Fig.3

Fig.4

Fig.5

Fig.6

References

1	衡俊霖, 周志祥 . 预应力混凝土梁自振频率分析[J]. 中外公路, 2014, 34(4): 105-108.
1	Heng Jun-lin , Zhou Zhi-xiang . Analysis of natural vibration frequency of prestressed concrete beams[J]. Journal of China and Foreign Highway, 2014, 34(4): 105-108.
2	杨敬林 . 预应力混凝土梁桥在移动车辆荷载作用下的动力特性研究[D]. 长沙：湖南大学力学与航空航天学院, 2007.
2	Yang Jing-lin . Research on dynamic behavious of the prestressed concrete beam bridge under moving vehicle load[D]. Changsha: School of Mechanics and Aerospace, Hunan University, 2007.
3	熊健民, 周俊荣, 周金枝 . 基于ANSYS预应力简支梁固有频率的研究[J]. 固体力学学报, 2008, 29(增刊1):158-161.
3	Xiong Jian-min , Zhou Jun-rong , Zhou Jin-zhi . Research of pre-stress simple-supported beam's natural frequency based on ANSYS[J]. Chinese Journal of Solid Mechanics, 2008, 29(Sup.1):158-161.
4	张耀庭, 邱继生, 黄恒卫 . 体外预应力混凝土梁的研究现状综述[J]. 华中科技大学学报:城市科学版, 2002, 19(4): 86-91.
4	Zhang Yao-ting , Qiu Ji-sheng , Huang Heng-wei . Survey on research of external prestressed concrete beams[J]. Journal of Huazhong University of Science and Technology(Urban Science Edition), 2002, 19(4): 86-91.
5	周勇军, 赵煜, 贺拴海, 等 . 刚构-连续组合桥梁冲击系数多因素灵敏度分析[J]. 振动与冲击，2012，31(3): 97-101.
5	Zhou Yong-jun , Zhao Yu , He Shuan-hai , et al . Muti-parameters sensitivity analysis of impact factors for rigid-continuous combined bridge[J]. Journal of Vibration and Shock, 2012, 31(3): 97-101.
6	楼梦麟, 洪婷婷, 李强 . 预应力桥梁竖向振动特性和地震反应分析[J]. 同济大学学报:自然科学版，2013，41(2): 173-178.
6	Lou Meng-lin , Hong Ting-ting , Li Qiang . Vertical dynamic characteristics and seismic responses of prestressed bridges[J]. Journal of Tongji University(Natural Science), 2013, 41(2): 173-178.
7	石鲁宁, 闫维明, 李勇, 等 . 三跨有粘结预应力连续梁自振频率解析解[J]. 长安大学学报:自然科学版, 2015, 35(4): 69-75.
7	Shi Lu-ning , Yan Wei-ming , Li Yong , et al . Analytical solution for natural frequency of three-span bonded prestressed continuous beam[J]. Journal of Chang'an University(Natural Science Edition), 2015, 35(4): 69-75.
8	李维奇，张耀庭，李进 . 基于损伤机理的预应力混凝土梁振动频率研究[J]. 华中科技大学学报:城市科学版，2009，26(2): 90-94.
8	Li Wei-qi , Zhang Yao-ting , Li Jin . Vibration frequency of prestressed concrete beam based on damage theory[J]. Journal of Huazhong University of Science and Technology(Urban Science Edition), 2009, 26(2): 90-94.
9	苏健, 孙宗光, 易南概, 等 . 基于自振频率与神经网络方法的简支梁预应力识别[J]. 公路交通科技，2013，30(10): 39-43.
9	Su Jian , Sun Zong-guang , Yi Nan-gai , et al . Prestress identification for simple beam based on natural frequency and neural network[J]. Journal of Highway and Transportation Research and Development, 2013, 30(10): 39-43.
10	刘寒冰，罗国宝，吴春利 . 简支桥梁预应力损失计算方法[J]. 哈尔滨工程大学学报，2016，37(11): 1510-1513.
10	Liu Han-bing , Luo Guo-bao , Wu Chun-li . Calculation method for the prestress loss of a simply-supported bridge[J]. Journal of Harbin Engineering University, 2016, 37(11): 1510-1513.
11	Clough R W , Penzien J , Griffin D S . Dynamics of Structures[M]. California: McGraw-Hill, 1993.
12	Saiidi M , Douglas B , Feng S . Prestress force effect on vibration frequency of concrete bridges[J]. Journal of Structural Engineering, 1994, 120(7): 2233-2241.
13	Hamed E , Frostig Y . Natural frequencies of bonded and unbonded prestressed beams-prestress force effects[J]. Journal of Sound and Vibration, 2006, 295(1): 28-39.
14	Abraham M A , Park S , Stubbs N . Loss of prestress prediction based on nondestructive damage location algorithms[C]∥Proceedings of SPIE-The International Society for Optical Engineering, San Diego, CA, USA, 1995, 2446: 60-64.
15	Miyamoto A , Tei K , Nakamura H , et al . Behavior of prestressed beam strengthened with external tendons[J]. Journal of Structural Engineering, 2000, 126(9): 1033-1044.
16	谭国金, 刘子煜, 魏海斌, 等 . 偏心直线预应力筋简支梁自振频率计算方法[J]. 吉林大学学报:工学版, 2016, 46(3): 798-803.
16	Tan Guo-jin , Liu Zi-yu , Wei Hai-bin , et al . Calculation of natural frequency of simply supported beam bridge reinforced with eccentric prestressed tendons[J]. Journal of Jilin University(Engineering and Technology Edition), 2016, 46(3): 798-803.
17	陈涛 .预应力对预应力简支梁固有频率的影响研究[J]. 中国水运, 2010, 10(10): 234-236.
17	Chen Tao . Study on the influence of prestress on the natural frequency of prestressed simply supported beams[J]. China Water Transport, 2010, 10(10): 234-236.
18	熊辉霞, 张耀庭 . 直线布筋体外预应力混凝土简支梁自振频率分析[J]. 建筑结构, 2007, 37(增刊1): 690-692.
18	Xiong Hui-xia , Zhang Yao-ting . Analysis of natural frequency of simply supported prestressed concrete beam with external linear tendon[J]. Building Structures, 2007, 37(Sup.1): 690-692.
19	薛刚，胡行飞 . 体外预应力混凝土简支梁固有频率研究[J]. 广西大学学报: 自然科学版, 2012, 37(4): 671-675.
19	Xue Gang , Hu Xing-fei . A study on natural frequency of simply supported externally prestressed concrete beams[J]. Journal of Guangxi University(Natural Science Edition), 2012, 37(4): 671-675.
20	王龙林 . 简支梁自振频率的预应力效应分析[D]. 长春: 吉林大学交通学院, 2013.
20	Wang Long-lin . Analysis of prestressing effect on natural frequency for simply supported beam[D]. Changchun: College of Transportation, Jilin University, 2013.
21	张道明, 吕春, 王丽 . 体外预应力索与简支梁耦合振动的特性[J]. 实验力学，2015, 30(4): 529-535.
21	Zhang Dao-ming , Lv Chun , Wang Li . On the coupled vibration characteristics of external prestressing tendon and simply support beam[J]. Journal of Experimental Mechanics, 2015, 30(4): 529-535.

Related Articles 15

[1]	Yi JIA,Ren-da ZHAO,Yong-bao WANG,Fu-hai LI. Sensitivity analysis of viscous damper parameters for multi⁃span and long⁃unit continuous girder bridges [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 1871-1883.
[2]	Lun-hua BAI,Rui-li SHEN,Xing-biao ZHANG,Lu WANG. In-plane stability of self-anchored suspension bridge [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(5): 1500-1508.
[3]	Shi⁃cheng WAN,Qiao HUANG,Jian GUAN,Zhao⁃yuan GUO. Strengthening of continuous steel⁃concrete composite beams in negative moment region using prestressed carbon fiber⁃reinforced polymer plates [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(4): 1114-1123.
[4]	Jin⁃gang ZHAO,Ming ZHANG,Yu⁃lin ZHAN,Ming⁃zhi XIE. Damage criterion of reinforced concrete pier based on plastic strain energy density [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(4): 1124-1133.
[5]	Wan⁃heng LI,Lin SHEN,Shao⁃peng WANG,Shang⁃chuan ZHAO. Damage assessment of bridge construction based onmulti⁃stage subregion mobile test [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(3): 773-780.
[6]	HUI Ying-xin,MAO Ming-jie,LIU Hai-feng,ZHANG Shang-rong. Influence of structural seismic response of bridges crossing active fault [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1725-1734.
[7]	ZHENG Yi-feng, ZHAO Qun, BAO Wei, LI Zhuang, YU Xiao-fei. Wind resistance performance of long-span continuous rigid-frame bridge in cantilever construction stage [J]. 吉林大学学报(工学版), 2018, 48(2): 466-472.
[8]	GONG Ya-feng, HE Yu-long, TAN Guo-jin, SHEN Yang-fan. Anti-overturning stability analysis for three-span continuous curved girder bridge with single column pier [J]. 吉林大学学报(工学版), 2018, 48(1): 133-140.
[9]	WEI Zhi-gang, LIU Han-bing, SHI Cheng-lin, GONG Ya-feng. Calculation of transverse distribution coefficient of simply supported beam bridge with effect of bridge deck pavement [J]. 吉林大学学报(工学版), 2018, 48(1): 105-112.
[10]	MA Ye, NI Ying-sheng, XU Dong, DIAO Bo. External prestressed strengthening based on analysis of spatial grid model [J]. 吉林大学学报(工学版), 2018, 48(1): 137-147.
[11]	WEI Zhi-gang, SHI Cheng-lin, LIU Han-bing, ZHANG Yun-long. Dynamic characteristics of steel-concrete composite simply supported beam under vehicles [J]. 吉林大学学报(工学版), 2017, 47(6): 1744-1752.
[12]	ZHANG Yun-long, LIU Zhan-ying, WU Chun-li, WANG Jing. Static and dynamic responses of steel-concrete composite beams [J]. 吉林大学学报(工学版), 2017, 47(3): 789-795.
[13]	YU Tian-lai, LIU Xing-guo, YAO Shuang, Muhammad Mansour. Fatigue performance of RC beams strengthened with externally prestressed CFRP tendons [J]. 吉林大学学报(工学版), 2016, 46(6): 1867-1873.
[14]	LIU Han-bing, SHI Cheng-lin, TAN Guo-jin. Finite element solution of composite beam with effect of shear slip [J]. 吉林大学学报(工学版), 2016, 46(3): 792-797.
[15]	TAN Guo-jin, LIU Zi-yu, WEI Hai-bin, WANG Long-lin. Calculation of natural frequency of simply supported beam bridge reinforced with eccentric prestressed tendons [J]. 吉林大学学报(工学版), 2016, 46(3): 798-803.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 10

[1]	Zhang He-sheng, Zhang Yi, Wen Hui-min, Hu Dong-cheng . Estimation approaches of average link travel time using GPS data[J]. 吉林大学学报(工学版), 2007, 37(03): 533 -0537 .
[2]	Zang Chuanyi，Ma Hongan，Tian Yu，Xiao Hongyu，Jia Xiaopeng. Growth of Highquality Gem Diamonds with Different Seed Facets[J]. 吉林大学学报(工学版), 2006, 36(01): 10 -0013 .
[3]	. [J]. 吉林大学学报(工学版), 2005, 35(03): 254 -257 .
[4]	Nie Yuan-fei,Ge Jian-hua,Wang Yong . Impact of nonideal SNR estimation on Turbo equalizer performance[J]. 吉林大学学报(工学版), 2007, 37(04): 875 -880 .
[5]	Liu Jia-yan， Zhang Zhen-guo， Sun Jun. Parameter estimation for short sequence polynomialphase signals[J]. 吉林大学学报(工学版), 2006, 36(03): 429 -0432 .
[6]	Wang Wei，Yang Zhao-sheng，Li Yi-wu，Liu Xin-jie，Chen Xin . Weighting calculation and judging method of regional traffic state based on information coordination[J]. 吉林大学学报(工学版), 2007, 37(03): 524 -0527 .
[7]	Lu Shao-wei;Chen Hui; Xie Huai-qin. Optimum design and experiment for CFRPstrengthened RC beams[J]. 吉林大学学报(工学版), 2008, 38(03): 642 -0646 .
[8]	ZHAO Yue, LIU Yan-heng, YU Xue-gang, WEI Da, SHAN Chang-wei, ZHAO Yang . Method for mobile path prediction based on pattern mining and matching [J]. 吉林大学学报(工学版), 2008, 38(05): 1125 -1130 .
[9]	Liu Zhi-hua,Li Cheng,Wang Chun-li . Test for micro-tribological performances of material surface[J]. 吉林大学学报(工学版), 2007, 37(01): 95 -99 .
[10]	Wu Xiao-lan，Wang Shi-gang，Ji Teng-fei，Li Qiang . Video object extraction and its DSP realization based on multi-frame difference[J]. 吉林大学学报(工学版), 2008, 38(01): 219 -223 .

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

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

RICH HTML

PDF (PC)