Second order analysis for dynamic performance of externally prestressed continuous beams with energy method

PDF(712 KB)

Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (17) : 135-140.

FANG Deping

Author information +

History +

Abstract

Symmetric and antisymmetric vibration modes of an ordinary continuous beam were taken as vibration modes of a 2-span externally prestressed continuous beam,the 1st and 2nd order deformations of external tendon were precisely analyzed. Based on the energy method,the natural frequencies of the externally prestressed continuous beam were calculated. The calculation results indicated that external precompression force has the compression softening effect,this effect can be expressed using an influence coefficient with the range of 0—1; the influence coefficient value is determined by the number of deviators; if there are no deviators within a span,the influence coefficient is 1; the compression softening effect of external precompression force is the same as that of external axial force; if the number of deviators increases,external tendon is gradually close to unbonded one,the influence coefficient gradually drops from 1 to near 0,the compression softening effect of external precompression force is close to zero effect of unbonded precompression force; if there is at least 1 deviator within a span,the influence coefficient is much less than 1,the compression softening effect of external precompression force can be neglected; if the eccentricity and area of external tendon increase,only the natural frequency of the beam’s 1st order symmetric vibration shape increases obviously,the effects of external tendon on natural frequencies of the beam’s all antisymmetric vibration modes and symmetric ones except the 1st order one are negligible.

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

FANG Deping. Second order analysis for dynamic performance of externally prestressed continuous beams with energy method[J]. Journal of Vibration and Shock, 2018, 37(17): 135-140

References

[1] 熊学玉．体外预应力结构设计[M]．北京：中国建筑工业出版社，2005：123-139
Xiong Xueyu. Design of Externally Prestressed Structure [M]. Beijing: China Architecture & Building Press, 2005: 123-139 (in Chinese)
[2] 杜进生，区达光．体外预应力筋的极限应力：既有典型计算方法评述[J]．工程力学，2010，27(9)：63-68
Du Jinsheng, Francis Tk Au. Ultimate stress in external tendons: comments on the existing typical methods [J]. Engineering Mechanics . 2010, 27(9): 63-68 (in Chinese)
[3] Ayaho Miyagawa, Katsuji Tei, Hideaki Nakamura, etal. Behavior of prestressed beam strengthened with external tendons [J]. Journal of Structural Engineering, ASCE. 2000, 126(9): 1033-1044
[4] 熊学玉，王寿生．体外预应力梁振动特性的分析与研究[J]．地震工程与工程振动，2005，25(2)：55-61
Xiong Xueyu, Wang Shousheng. Analysis and research of externally prestressed beam vibration behavior [J]. Earthquake Engineering and Engineering Vibration. 2005, 25(2): 55-61 (in Chinese)
[5] 焦春节，丁洁民．体外预应力钢—混凝土组合连续梁自振频率分析[J]．工程力学，2011，28(2)：193-197
Jiao Chunjie, Ding Jiemin. Analysis of natural frequency of prestressed composite beam with external tendons [J]. Engineering Mechanics. 2011, 28(2): 193-197 (in Chinese)
[6] 熊学玉，高峰，李阳．体外预应力连续梁振动特性的分析与研究[J]．振动与冲击，2011，30(6)：104-108
Xiong Xueyu, Gao Feng, Li Yang. Analysis on vibration behavior of externally prestressed concrete continuous beam[J]. Journal of Vibration and shock. 2011, 30(6): 104-108 (in Chinese)
[7] 方德平，王全凤．体外预应力梁动力特性分析的一种新方法[J]．地震工程与工程震动，2010，30(4)：66-71
Fang Deping, Wang Quanfeng. A new method for analyzing dynamic behavior of externally prestressed beam [J]. Journal of Earthquake Engineering and Engineering Vibration. 2010, 30(4): 66-71 (in Chinese)
[8] 方德平．体外预应力连续梁动力特性的等效刚度分析法[J]．地震工程与工程震动，2014，34(6)：153-159
Fang Deping. Equivalent stiffness method for analyzing dynamic behavior of externally prestressed continuous beam [J]. Earthquake Engineering and Engineering Vibration. 2014, 34(6): 153-159 (in Chinese)
[9] M. Saiidi, B. Douglas, S. Feng, Prestress. force effect on vibration frequency of concrete bridge [J]. ASCE Journal of Structural Engineering. 1994, 120(7): 2233-2241
[10] A. Dallasta, L. Dezi. Prestress force effect on vibration frequency of concrete bridge-discussion [J]. ASCE Journal of Structural Engineering. 1996, 122(4): 458-458
[11] G. Deak. Prestress force effect on vibration frequency of concrete bridge-discussion [J]. ASCE Journal of Structural Engineering. 1996, 122(4): 458-459
[12] S.K. Jain, S.C. Goel, Prestress. force effect on vibration frequency of concrete bridge-discussion [J]. ASCE Journal of Structural Engineering. 1996, 122(4): 459-460
[13] O. Hamed, Y. Frostig. Natural frequencies of bonded and unbonded prestressed beams-prestress force effects [J]. Journal of Sound and Vibration. 2006, 295(1-2): 28-39
[14] De-Ping Fang. Second order effects of external prestress on frequencies of simply supported beam by energy method [J]. Structural Engineering and Mechanics, 2014, 52(4): 687-699
[15] 方德平，钟明镜．用能量法分析体外预压力对简支梁动力性能的二阶效应[J]．动力学与控制学报，2016，14(5)：463-468
Fang Deping, Zhong Mingjing. Second order effect of external tendon compression on dynamic behavior of simply supported beam by energy method [J].Journal of Dynamics and Control. 2016, 14(5): 436-468 (in Chinese)