摘要
针对多机协同加工中双振源耦合激励下非线性阻尼系统的复杂振动问题,采用理论推导、仿真分析与试验验证相结合的方法,研究了系统的模态响应特性。首先,建立了系统的多自由度模态动力学模型,推导了双激励下各阶模态响应的解析表达式,明确了激振频率、相角差、激励位置及幅值等参数与模态响应间的定量关系;其次,通过有限元仿真获得了模态参数与关键的模态耦合系数,系统研究了双参数及三参数耦合作用下系统响应特性,揭示了各参数对模态响应的耦合影响规律;最后,设计并开展了物理试验。研究结果表明:模态响应对激励参数耦合敏感,共振区附近效应显著增强;幅值与位置耦合时,响应随幅值与离模态节点的距离增大而增强;频率与位置耦合关系复杂,受模态节点影响显著。试验结果与仿真分析趋势一致,验证了理论与仿真模型的有效性。该研究为多振源激励下结构振动预测与主动控制提供了理论基础和分析手段。
The modal response characteristics of nonlinear damped systems subjected to dual-source coupled excitation were examined through theoretical analysis,numerical simulation,and experimental validation.This study addresses complex vibrations in collaborative multi-machine processing.A multi-degree-of-freedom modal dynamic model was developed,and analytical expressions for modal responses under dual excitation were formulated.Quantitative relationships between excitation parameters(frequency,phase difference,location,and amplitude)and modal responses were established.Modal parameters and critical coupling coefficients were determined through finite element simulations.The system’s response characteristics under dual-and triple-parameter coupling were systematically analyzed,and the coupling influence of various parameters on modal response was elucidated.Physical experiments were designed and performed.Results demonstrate that modal responses are highly sensitive to excitation parameter coupling,with effects markedly amplified near the resonance region.In amplitude-location coupling,modal responses increase with the increase of both amplitude and distance.The frequency-location coupling relationship is intricate and strongly influenced by modal nodes.The simulation trends align with the experimental results,confirming the validity of the theoretical and numerical models.This study provides a theoretical foundation and analytical tools for predicting structural vibrations and enabling active control under multi-source excitation.
作者
李昌力
张雪健
梅笑源
赵越洋
胡晓兵
杜芝鹏
LI Changli;ZHANG Xuejian;MEI Xiaoyuan;ZHAO Yueyang;HU Xiaobing;DU Zhipeng(School of Mechanical Engineering,Sichuan University,Chengdu 610065,China;Yibin R&D Park of Sichuan University,Yibin 644005,China;Dongfang Electric Machinery Company Limited,Deyang 618000,China)
出处
《振动与冲击》
北大核心
2025年第24期66-76,共11页
Journal of Vibration and Shock
基金
四川省经济与信息化厅-四川省省级工业发展专项资金重大技术装备攻关任务项目-铸、焊件高效打磨机器人系统(2023-JXT-01)。
关键词
模态响应
双激振源激励
耦合振动
非线性阻尼
modal response
dual excitation source
coupled vibration
nonlinear damping
