不同吊杆形式悬索桥人致振动分析及舒适度评价

doi:10.13229/j.cnki.jdxbgxb20210393

Abstract

Abstract:

To research the influence of the structural details on the human-induced vibration and pedestrian comfort of the suspension footbridge， based on a practical suspension footbridge， two different structural models， one with vertical hanger system and the other with inclined hanger system， were built. The influence of different hanger systems on the free vibration and human-induced vibration were analyzed， and the pedestrian comfort was evaluated based on EN03 code. The results show that， the first-order vertical and lateral frequencies of the inclined hanger system model are lower than those of the vertical one， and both two hanger system model have low free vibration frequencies and corresponding high flexibility. When the pedestrian mass is considered， the free vibration frequencies and the maximum accelerator of the main girder under pedestrian load decrease with the increase of the pedestrian flow for both two models. Under the same pedestrian flow， the maximum accelerators according to different mode and free frequency are different， but the inclined hanger system model has lower lateral and vertical accelerators compared to the vertical one. The lateral comfort evaluation result is same for two models， but the vertical comfort evaluation is better for the inclined hanger system model. The inclined hangers can improve both the lateral and vertical rigidities of the suspension footbridge.

Key words: bridge engineering, suspension footbridge, natural vibration characteristics, human-induced vibration, pedestrian comfort

CLC Number:

U448.25

Yan-ling ZHANG,Can WANG,Xu ZHANG,Ang-yang WANG,Yun-sheng LI. Human⁃induced vibration analysis and pedestrian comfort evaluation for suspension footbridge with different hunger systems[J].Journal of Jilin University(Engineering and Technology Edition), 2022, 52(11): 2644-2652.

Figures/Tables 20

Fig.1

Fig.2

Table 1

Table 2

Table 3

Free vibration frequencies in vertical and inclined hanger systems under different pedestrian flows"

振动模态	竖直吊杆模型						倾斜吊杆模型
	振动阶数	成桥态	行人密度/（人 $?$ m $- 2$ ）				振动阶数	成桥态	行人密度/（人 $?$ m $- 2$ ）
	振动阶数	成桥态	0.5	1	1.5	2	振动阶数	成桥态	0.5	1	1.5	2
主梁横弯	3	0.565	0.553	0.544	0.530	0.520	3	0.551	0.549	0.547	0.546	0.545
	4	0.733	0.719	0.702	0.668	0.666	4	0.665	0.648	0.633	0.617	0.602
	5	1.034	1.005	0.957	0.913	0.959	5	0.909	0.889	0.869	0.851	0.835
	6	1.149	1.121	1.096	1.067	1.045	6	1.116	1.114	1.109	1.100	1.084
主梁竖弯	13	1.343	1.309	1.277	1.247	1.244	7	1.410	1.410	1.388	1.357	1.298
	14	1.470	1.433	1.423	1.365	1.335	8	1.455	1.421	1.410	1.354	1.329
	15	1.608	1.599	1.599	1.599	1.459	9	1.655	1.626	1.589	1.554	1.521
	16	1.745	1.700	1.658	1.620	1.584	10	1.842	1.819	1.779	1.739	1.715
	17	1.893	1.845	1.800	1.758	1.713	11	2.111	2.062	2.036	2.033	2.032
	18	2.041	1.989	1.940	1.895	1.853	12	2.328	2.273	2.229	2.222	2.222
	19	2.200	2.146	2.094	2.045	1.999
	20	2.360	2.299	2.243	2.191	2.142

Table 3

Fig.3

Table 4

Table 5

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Fig.5

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Table 6

Fig.11

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Table 7

Table 8

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模态	竖直吊杆模型		倾斜吊杆模型
模态	自振频率 /Hz	振型描述	自振频率 /Hz	振型描述
1	0.185	对称横弯	0.258	反对称横弯
2	0.190	对称竖弯	0.266	对称横弯
3	0.211	反对称横弯	0.319	对称竖弯
4	0.250	对称竖弯	0.366	反对称竖弯
5	0.329	反对称横弯	0.393	反对称横弯
6	0.347	对称竖弯	0.395	对称横弯
7	0.369	反对称竖弯	0.406	反对称竖弯
8	0.393	反对称横弯	0.410	对称竖弯
9	0.393	对称竖弯	0.450	对称竖弯
10	0.393	反对称横弯	0.451	对称竖弯

振动阶数	不计入行人质量		计入行人质量
振动阶数	步频 /Hz	P（t）/（N·m^-2）	步频 /Hz	P（t）/（N·m^-2）
3	0.565	5.8cos（3.55t）	0.544	3.9cos（3.42t）
4	0.733	17.6cos（4.60t）	0.702	17.6cos（4.40t）
5	1.034	14.6cos（6.49t）	0.957	17.6cos（6.00t）
6	1.149	4.5cos（7.21t）	1.096	9.2cos（6.88t）

等级	舒适度	横向加速度限值/（m·s^-2）	竖向加速度限值/（m·s^-2）
1	很舒适	≤0.1	≤0.5
2	中等舒适	0.1~0.3	0.5~1.0
3	不舒适	0.3~0.8	1.0~2.5
4	不可忍受	>0.8	>2.5

Human⁃induced vibration analysis and pedestrian comfort evaluation for suspension footbridge with different hunger systems

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