摘要
考虑了波纹辊轧机波纹界面间的非线性阻尼和非线性刚度,建立了波纹辊轧机两自由度垂直非线性参激振动模型。利用奇异值理论讨论了波纹辊轧机辊系自治下的稳定性,运用多尺度法求解了波纹辊轧机辊系在波纹界面激励下的主共振和次共振的解析近似解和幅频特性方程。分析了非线性刚度系数、非线性阻尼系数、系统阻尼系数、轧制力的幅值等参数对振动的影响。通过数值仿真验证了分析结果的正确性,为抑制波纹辊轧机的辊系振动和升级改造提供了一定的理论指导。
Considering the nonlinear damping and nonlinear stiffness within corrugated interface of corrugated rolling mills,a model of parametrically excited nonlinear vertical vibration of the roller system was established.The stability of theroller autonomous system of corrugated rolling mills was discussed by using the singular value theory.The approximate analytical solution and amplitude-frequency characteristic equations of principal resonance and sub-resonance of roller system excited by corrugated interface were carried out by using the multiple-scale method.The influences of nonlinear stiffness coefficient,nonlinear damping coefficient,system damping coefficient and rolling force amplitude on vibration were analyzed.The correctness of the analysis results was verified by numerical simulation.
作者
和东平
王涛
解加全
任忠凯
刘元铭
HE Dongping;WANG Tao;XIE Jiaquan;REN Zhongkai;LIU Yuanming(College of Mechanical and Vehicle Engineering,Taiyuan University of Technology,Taiyuan,030024,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2019年第20期164-171,共8页
Journal of Vibration and Shock
基金
国家自然科学基金重点项目(U1710254)
国家自然科学青年基金(51804215)
山西省重点研发计划重点项目(201703D111003)
山西省高等学校科技创新项目(2017132)
山西省青年科技研究基金(201701D221143)
太原市科技重大专项(170203)
关键词
波纹辊轧机
参激振动
非线性
主共振
次共振
corrugated rolling mill
parametrically excited vibration
nonlinear
principal resonance
sub-resonance
