参数不确定性车辆的复合随机振动分析

易科虹; 陈晓育; 华春蓉; 董大伟

doi:10.13433/j.cnki.1003-8728.20180266

参数不确定性车辆的复合随机振动分析

doi: 10.13433/j.cnki.1003-8728.20180266

西南交通大学机械工程学院先进驱动节能技术教育部工程研究中心, 成都 610031

基金项目:

国家自然科学基金项目 51875482

详细信息

作者简介:
易科虹(1993-), 硕士研究生, 研究方向为汽车噪声振动控制及声振舒适性, kikiyi@my.swjtu.edu.cn

通讯作者:
华春蓉, 副教授, 硕士生导师, hcrong@swjtu.cn

中图分类号: U461.4
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- 文章访问数: 442
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- PDF下载量: 39
- 被引次数: 0
出版历程
- 收稿日期: 2018-07-20
- 刊出日期: 2019-06-05

Compound Random Vibration Analysis of Vehicles with Uncertain Parameters

Engineering Research Center of Advanced Driving Energy-saving Technology, Ministry of Education, School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031, China

摘要

摘要: 提出了虚拟激励-快速摄动法来研究路面随机激励和不确定车辆系统的复合随机振动问题。采用虚拟激励法将随机激励转化为简谐激励，推导了车辆振动响应功率谱密度的表达式，然后基于快速摄动法计算垂向加速度均方根值的变异系数，由响应的变异反映复合随机对车辆结构振动响应的影响。对参数不确定1/4车辆模型的仿真分析表明：当悬架结构参数和轮胎刚度变异系数为0.1时，垂向加速度均方根值的变异达到18.81%，与蒙特卡洛法相比，本文方法计算速度显著提高，且误差在5%内。
- 复合随机振动 /
- 不确定性 /
- 快速摄动法 /
- 变异系数
Abstract: Aiming at the random vibration of vehicles with uncertain system parameters under random excitations, random vibration response of a quarter vehicle model is analyzed based on the pseudo-excitation and rapid perturbation method. The pseudo-excitation method is used to transform the random excitation into a simple harmonic excitation, and the expression of power spectral density of the vehicle vibration response is derived. Then, the variation coefficient of the vehicle body acceleration response is calculated based on the fast perturbation method. The numerical example of vibration analysis shows that when variation coefficient of the body structure parameters and the tire stiffness are 0.1, the variation coefficient of the vehicle body acceleration is up to 18.81%. Compared with the Monte Carlo method, it shows that computational efficiency is improved greatly with the methods of this paper, and the error is less than 5%.
- uncertain system /
- random vibration analysis /
- acceleration /
- computational efficiency

HTML全文

图 1 1/4车辆悬架模型

下载: 全尺寸图片幻灯片

图 2 1/4模型的功率谱密度

下载: 全尺寸图片幻灯片

表 1 1/4车体模型系统参数的均值

簧载质量m_s/kg	非簧载质量m_u/kg	悬架刚度k_s/(N·m^-1)	悬架阻尼c_s/(N·s·m^-1)	轮胎刚度k_t/(N·m^-1)
317.5	45.4	22 000	1 500	192 000

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表 2 垂向加速度均方根值的均值(u_{φ_ξ})、标准差(σ_{φ_ξ})和变异系数(v_{φ_ξ})

结构参数的变异系数	u_{φ_ξ}/(m·s^-2)	σ_{φ_ξ}/(m·s^-2)	v_{φ_ξ}/%
v_{m_s}=v_{k_s}=v_{c_s}=v_{k_u}=v_{m_u}=0	31.88	0	0
v_{m_s}=0.1, v_{k_s}=v_{c_s}=v_{k_u}=v_{m_u}=0	32.69	5.68	17.36
v_{k_s}=0.1, v_{m_s}=v_{c_s}=v_{k_u}=v_{m_u}=0	31.97	1.84	5.77
v_{c_s}=0.1, v_{m_s}=v_{k_s}=v_{m_u}=v_{k_u}=0	31.97	1.33	4.17
v_{m_u}=0.1, v_{k_s}=v_{c_s}=v_{k_u}=v_{m_s}=0	31.88	0.12	0.37
v_{k_u}=0.1, v_{k_s}=v_{c_s}=v_{m_u}=v_{m_s}=0	31.88	2.27	7.11
v_{m_s}=v_{k_s}=v_{c_s}=v_{k_u}=v_{m_u}=0.1	36.83	6.93	18.81

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