基于Timoshenko梁理论的钢-混组合梁动力折减系数

doi:10.13229/j.cnki.jdxbgxb20210742

Abstract

Abstract:

The motion differential equation of steel-concrete composite beams considering the shear slip effect was derived based on the Timoshenko beam theory. And the analytical expressions of eigenfrequencies and modes for simply-supported steel-concrete composite beams were obtained. The dynamic reduction coefficients which were more suitable for dynamic analysis of steel-concrete composite beams were proposed， and the analytical expressions of "stiffness reduction coefficient" and "frequency reduction coefficient" were given. Then the dynamic reduction coefficients were compared with the existing one based on Euler-Bernoulli beam theory. The effects of shear connector stiffness， shear deformation， rotary inertia， and span-to-depth ratio on the frequency reduction coefficient were discussed. The results show that the effect of the rotary inertia can be ignored， but that of the shear deformation must be considered in the dynamic analysis of steel-concrete composite beams with smaller span-to-depth ratios.

Key words: bridge engineering, steel-concrete composite beam, dynamic reduction coefficient, shear deformation, shear slip, analytical expression

CLC Number:

U441

Qi-kai SUN,Nan ZHANG,Xiao LIU,Zi-ji ZHOU. Dynamic reduction coefficients of steel⁃concrete composite beam based on Timoshenko beam theory[J].Journal of Jilin University(Engineering and Technology Edition), 2023, 53(2): 488-495.

Figures/Tables 8

Fig.1

Fig.2

Table 1

Fig.3

Fig.4

Fig.5

Fig.6

Table 2

Comparison of natural characteristics for steel-concrete composite beam"

阶次	实测值	ANSYS	文献［9］模型		本文模型
阶次	实测值	ANSYS	$f n E B$	$γ n E B$	$f n T$	$γ n T$
1	19.38	21.08	22.27	0.88	21.28	0.84
2	63.13	62.48	75.96	0.75	67.02	0.66
3	-	114.48	156.09	0.69	126.07	0.56

Table 2

References 18

1	聂建国,余志武. 钢-混凝土组合梁在我国的研究及应用[J]. 土木工程学报, 1999, 32(2): 3-8.
	Nie Jian-guo, Yu Zhi-wu. Research and practice of composite steel-concrete beams in China[J]. China Civil Engineering Journal, 1999, 32(2): 3-8.
2	聂建国, 陶慕轩, 吴丽丽, 等. 钢-混凝土组合结构桥梁研究新进展[J]. 土木工程学报, 2012, 45(6): 110-122.
	Nie Jian-guo, Tao Mu-xuan, Wu Li-li,et al.Advances of research on steel-concrete composite bridges[J]. China Civil Engineering Journal, 2012, 45(6): 110-122.
3	刘永健,刘江.钢-混凝土组合梁桥温度作用与效应综述[J]. 交通运输工程学报, 2020, 20(1): 42-59.
	Liu Yong-jian, Liu Jiang. Review on temperature action and effect of steel-concrete composite girder bridge[J]. Journal of Traffic and Transportation Engineering, 2020, 20(1): 42-59.
4	聂建国,沈聚敏,余志武. 考虑滑移效应的钢-混凝土组合梁变形计算的折减刚度法[J]. 土木工程学报, 1995, 28(6): 11-17.
	Nie Jian-guo, Shen Ju-min, Yu Zhi-wu. A reduced rigidity method for calculating deformation of composite steel-concrete beams[J]. China Civil Engineering Journal, 1995, 28(6): 11-17.
5	王景全,吕志涛,刘钊. 部分剪力连接钢-混凝土组合梁变形计算的组合系数法[J]. 东南大学学报: 自然科学版, 2005, 35(): 5-10.
	Wang Jing-quan, Lv Zhi-tao, Liu Zhao. Consistency factor method for calculating deformation of composite steel-concrete girders with partial shear connection[J]. Journal of Southeast University (Natural Science Edition), 2005, 35(S1): 5-10.
6	徐荣桥,陈德权.组合梁挠度计算的改进折减刚度法[J]. 工程力学,2013, 30(2): 285-291.
	Xu Rong-qiao, Chen De-quan. Modified reduced stiffness method for calculating the deflection of composite beams[J]. Engineering Mechanics, 2013, 30(2): 285-291.
7	张云龙, 刘占莹, 吴春利, 等. 钢-混凝土组合梁静动力响应[J]. 吉林大学学报: 工学版, 2017, 47(3): 789-795.
	Zhang Yun-long, Liu Zhan-ying, Wu Chun-li,et al. Static and dynamic responses of steel-concrete composite beams[J]. Journal of Jilin University (Engineering and Technology Edition), 2017, 47(3): 789-795.
8	侯忠明,夏禾,张彦玲. 栓钉连接件抗剪刚度对钢-混凝土结合梁自振特性影响研究[J].中国铁道科学, 2012, 33(6): 24-29.
	Hou Zhong-ming, Xia He, Zhang Yan-ling. The influence of the shear stiffness of stud connectors on the natural vibration characteristics of steel-concrete composite beams[J]. China Railway Science, 2012, 33(6): 24-29.
9	侯忠明,夏禾,王元清,等. 钢-混凝土组合梁动力折减系数研究[J]. 振动与冲击, 2015, 34(4): 74-81.
	Hou Zhong-ming, Xia He, Wang Yuan-qing, et al. Dynamic redution coefficients for a steel-concrete composite beam[J]. Journal of Vibration and Shock, 2015, 34(4): 74-81.
10	张云龙, 郭阳阳, 王静, 等. 钢-混组合梁的固有频率及其振型[J]. 吉林大学学报: 工学版, 2020, 50(2): 581-588.
	Zhang Yun-long, Guo Yang-yang, Wang Jing,et al. Natural frequency and mode of vibration of steel-concrete composite beams[J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(2): 581-588.
11	孙琪凯, 张楠, 刘潇, 等. 基于能量法分析考虑纵向刚度分布的钢-混组合梁自振特性[J]. 振动与冲击, 2021, 40(10): 67-72.
	Sun Qi-kai, Zhang Nan, Liu Xiao, et al. Free vibration characteristics of steel-concrete composite beams considering longitudinal stiffness distribution based on energy method[J]. Journal of Vibration and Shock, 2021, 40(10): 67-72.
12	Sun Q K, Zhang N, Liu X, et al. Free vibrations of steel-concrete composite beams by the dynamic direct stiffness method[J]. International Journal of Structural Stability and Dynamic, 2021, 21(4): 2150049.
13	Berczyński S, Wróblewski T. Vibration of steel-concrete composite beams using the Timoshenko beam model[J]. Journal of Vibration and Control, 2005, 11(6): 829-848.
14	Xu R Q, Wu Y F. Static dynamic and buckling analysis of partial interaction composite members using Timoshenko's beam theory[J]. International Journal of Mechanical Sciences, 2007, 49(10): 1139-1155.
15	Nguyen Q H, Hjiaj M, Grognec P L. Analytical approach for free vibration analysis of two-layer Timoshenko beams with interlayer slip[J]. Journal of Sound and Vibration, 2012, 331(12): 2949-2961.
16	Lin J P, Wang G N, Bao G J, et al. Stiffness matrix for the analysis and design of partial-interaction composite beams[J]. Construction and Building Materials, 2017, 156: 761-772.
17	Lin J P, Wang G N, Xu R Q. Variational principles and explicit finite-element formulations for the dynamic analysis of partial-interaction composite beams[J]. Journal of Engineering Mechanics-ASCE, 2020, 146(6): 04020055.
18	Sun Q K, Zhang N, Liu X, et al. An equivalent single-layer theory for free vibration analysis of steel-concrete composite beams[J]. Steel and Composite Structures, 2021, 38(3): 281-291.

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阶次	SD/RI梁	仅SD梁	E-B梁
1	158.29	158.69 （0.3%）	165.29 （4.4%）
2	542.04	546.49 （0.8%）	618.90 （14.2%）
3	1077.90	1093.73 （1.5%）	1373.02 （27.4%）
4	1709.64	1745.80 （2.1%）	2428.52 （42.0%）
5	2408.85	2474.51 （2.7%）	3785.50 （57.1%）

Dynamic reduction coefficients of steel⁃concrete composite beam based on Timoshenko beam theory

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