温度和车辆作用下梁式桥梁结构固有频率分析方法

doi:10.13229/j.cnki.jdxbgxb.20230263

摘要/Abstract

摘要：

针对桥梁结构损伤识别和状态评估过程中测得的固有频率受到温度和车辆作用的显著影响，导致频率测试结果出现误差的问题，引入频率变异系数，基于温度理论分析模型和车辆参数规律对桥梁频率理论公式进行简化并提炼出关键影响因素，形成剔除温度与车辆作用的桥梁频率变异系数的经验公式。通过简支梁桥和门式刚构桥算例验证了剔除方法的准确性，结果表明，利用经验公式计算的频率与理论计算结果相差较小，能够很好地表征纯净的梁式桥频率，提高利用频率变化评估桥梁安全性的精确度。

关键词: 桥梁工程, 温度, 车辆作用, 因素剔除, 桥梁频率

Abstract:

Aiming at the problem that the natural frequency measured in the process of damage identification and state assessment of bridge structure is significantly affected by temperature and vehicle action， resulting in errors in frequency test results， the frequency coefficient of variation was introduced， the bridge frequency theory formula was simplified based on the temperature theory analysis model and the vehicle parameter law， and the key influencing factors were extracted to form an empirical formula for the bridge frequency coefficient of variation that excludes temperature and vehicle action. The results show that the bridge frequency calculation results obtained by the elimination method in this paper have little difference with the theoretical calculation results， which can well characterize the frequency of pure beam bridge and improve the accuracy of assessing the safety of bridge by using frequency variation.

Key words: bridge engineering, temperature, vehicle effect, factor elimination, bridge frequency

中图分类号:

U446

袁野. 温度和车辆作用下梁式桥梁结构固有频率分析方法[J]. 吉林大学学报(工学版), 2023, 53(6): 1702-1710.

Ye YUAN. Natural frequency analysis of beam bridge structure under temperature and vehicle action[J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(6): 1702-1710.

图/表 15

图1

图2

表1

车辆参数列表"

含义	取值
前轮（后轮）轮胎刚度k_a1（k_a2）/（N·m^-1）	2.41 $×$ 10⁷
前轮（后轮）质量m_t1（m_t2）/kg	1500
前（后）悬架刚度k_t1（k_t2）/（N·m^-1）	2.5 $×$ 10⁷
车身质量中心距前端（后端）距离l₁（l₂ ）/m	2
车身转动惯量I_v/（kg·m²）	1.48 $×$ 10⁵
车身质量m_v/kg	1.78 $×$ 10⁴

表1

表2

图3

表3

图4

表4

图5

表5

图6

图7

图8

图9

图10

参考文献 18

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水平	因素
水平	1-车辆位置	2-跨径/m	3-车桥频率比	4-车体质量/kg
1	0.59	10.0	0.60	1500
2	0.76	17.5	0.80	6125
3	0.89	25.0	1.02	10 750
4	0.97	32.5	1.20	15 375
5	1.00	40.0	1.40	20 000

系数	拟合值	系数	拟合值
p₁	-12.65	p₉	10.45
p₂	19.30	p₁₀	-19.32
p₃	-3.96	p₁₁	30.77
p₄	2.14	p₁₂	-3.13
p₅	0.05	p₁₃	6.60
p₆	0.24	p₁₄	-15.91
p₇	0.000177	p₁₅	11.98
p₈	1.82	p₁₆	-2.53

水平	因素
水平	车桥频率比	车体质量/kg	L₁/L₂	跨径/m	车辆位置
1	0.6	1 500	1	10	0.2
2	0.8	6 125	1.2	17.5	0.275
3	1.02	10 750	1.4	25	0.35
4	1.2	15 375	1.6	32.5	0.425
5	1.4	20 000	1.8	40	0.5

系数	拟合值	系数	拟合值
q₁	14.76	q₁₁	0.36
q₂	-10.65	q₁₂	-1.91
q₃	0.75	q₁₃	-12.20
q₄	-1186	q₁₄	155.31
q₅	0.00	q₁₅	-232.10
q₆	-1832	q₁₆	-0.29
q₇	-0.45	q₁₇	27.21
q₈	-0.08	q₁₈	-67.19
q₉	-0.15	q₁₉	40.87
q₁₀	0.19	q₂₀	5.22