多自由度轧机传动系统非线性非主共振扭振特性.pdf

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1、振动与冲击第34卷第12期JOURNALOFVIBRATIONANDSHOCKVo1．34No．122015多自由度轧机传动系统非线性非主共振扭振特性时培明，夏克伟刘彬，侯东晓(1．燕山大学电气工程学院，秦皇岛066004；2．东北大学秦皇岛分校自动化工程系，秦皇岛066004)摘要：建立含参激多自由度轧机传动系统非线性扭振动力学模型，通过坐标变换将非线性方程组解耦成独立方程，采用多尺度法得到电机扰动力矩和轧制负载力矩共同作用下非线性系统的幅频响应方程。以某厂1780轧机传动系统为实际算例，将其简化成4自由度非线性扭振模型，通过实际参数分析了非线性刚度、非线性阻尼、接轴倾角、电机扰动

2、力矩以及轧制张力波动对传动系统超谐波共振、亚谐波共振及组合共振幅频特性的影响。用数值仿真与解析结果相比较，验证解析方法的有效性。研究结果为外扰影响下的轧机传动系统扭振特性提供一定的理论指导和参考。关键词：多自由度；轧机传动系统；张力波动；组合共振中图分类号：0322文献标志码：ADOI：t0．13465／j．enki．jVS．2015．12．007Non．mainresonancecharacteristicsOfnonlineartorsionalvibrationofrollingmill’Smulti-degree-of-freedommaindrivesystemSHIPei

3、—ming，XIAKe—wei，LIUBin，HOUDong—xiao(1．CollegeofElectricalEngineering，YanshanUniversity，Qinhuangdno066004，China；2．DepartmentofAutomaticEngineering，NortheasternUniversityatQinghuangdao，Qinghuangdao066004，China)Abstract：Consideringtheinfluencecausedbytheparametricexcitation，thenonlineartorsionalvi

4、brationequationsofmulti-DOFrollingmill’Smaindrivesystemwereestablished．Toanalyzethecoupledequationsbyanalyticmethod，theequationsweredecoupledbytransformingthemintoprincipalcoordinates．Theamplitude-~equencycharacteristicequationwasobtainedbysolvingthedynamicalequationusingmulti-scalemethod．Furth

5、ermore，anumericalexamplebasedonthemaindrivesystemof1780rollingmillinsomeSteelCo．wasgiventoillustratetheeffectsofresonanceonresponseofthesystem．Theinfluencesonamplitude~equencycharacteristicsofsuper—harmonicresonance，sub—harmonicresonance，andcombinationresonanceunderthechangesofparameterslikenon

6、linearstiffness，nonlinearfrictiondamping，jointangle，torquedisturbanceandrollingtensionwereanalysed．Thenumericalsimulationindicatesthattheanalyticmethodisprovedtobevalidwhencomparingtheresultsbythenumericalmethodandthemulti—scalemethod．Theresultsprovidetheoreticalbasisandreferencetoanalyzingtors

7、ionalvibrationofrollingmill’Stransmissionsystemcausedbyoutsidedisturbance．Keywords：multipledegreesof~eedom；maindrivesystemofrollingmill；rollingtensionfluctuation；combinationrSnnane随着轧制速度和强度的不断提高，轧机传动系统下的传动系统非线性扭振响应的行为、特征和规律有频繁出现异常