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1、28-April-2014OptiStructInnovationIntelligence®随机振动分析马越峰yuefeng.ma@altair.com.cnsupport@altair.com.cn(supportemail)4006-196-186(supporthotline)振动分类—按载荷形式和响应类型Classificationofvibration线性系统LinearsystemMxCxKxft()正则模态分析自由振动RealEigen/ModesFreeVibration(f=0)复模态分析ComplexEigen/Modes瞬态
2、响应Transientresponse精确分析频率响应强迫振动(外力、压强)FrequencyresponseEnforcedVibration(Force,Pressure)随机振动响应Dynamicresponse统计分析RandomResponse强迫运动(加速度、位移)EnforcedMotion(Acceleration,Displacement)峰值分析响应谱等SRS,DDAM2Copyright©2013AltairEngineering,Inc.ProprietaryandConfidential.Allrightsreserved.2
3、强迫振动?强迫运动激励?强迫运动激励首先一定是固定在某些“基础”之上的。Lunchload地震波Copyright©2013AltairEngineering,Inc.ProprietaryandConfidential.Allrightsreserved.强迫运动–虚拟约束法SPCD定义节点1的位移时间历程的自动强迫运动HyperMesh中定义两个约束:Zdirection‒SPCD定义节点1的强迫运动位移Node1‒SPC定义节点约束•SPC必须约束住加载自由度•SPC是否需要约束其它自由度?Copyright©2013AltairEngin
4、eering,Inc.ProprietaryandConfidential.Allrightsreserved.强迫运动–虚拟约束法SPCDSPCD定义节点1的强迫运动量SPC定义节点1的约束,这是一个虚拟约束ZdirectionNode1对于SPCD方法,虚约束自由度同时又是运动加载自由度!Copyright©2013AltairEngineering,Inc.ProprietaryandConfidential.Allrightsreserved.强迫运动的绝对响应和相对响应惯性系非惯性系ut()ut()gr质点位移ut()utrg()u
5、t()ut()r质点加速度ut()ut()ut()参质量Mrg考轴惯性力fImutr()mutg()阻尼C弹性恢复力fkut()srxglobalut()阻尼力fcut()gdr运动方程mucukumuprrrgeffCopyright©2013AltairEngineering,Inc.ProprietaryandConfidential.Allrightsreserved.6PARAM,ENFMOTNENFMOTN参数控制绝对位移和相对位移的输出PARAM,ENFMOTN,ABS‒ABS的缺省值表示分析结果是模型的绝对
6、运动PARAM,ENFMOTN,REL‒假如值被定义为REL,那么运动相对于强迫运动的基础。在模态振动分析中,这等效于用大质量法和从分析中排除刚体运动。Copyright©2013AltairEngineering,Inc.ProprietaryandConfidential.Allrightsreserved.7数据分类ClassificationofPhysicalDataPhysicalDataReproducethedatabycontrolledexperiments可控性RandomDeterministicTransientStatio
7、naryNon-StationaryFrequencyShockSpectrumNon-ErgodicErgodic各态历经过程RandomvibrationCopyright©2013AltairEngineering,Inc.ProprietaryandConfidential.Allrightsreserved.8StationaryandErgodic稳态数据和各态历经过程数据采样asample(realization,record)oftherandomprocess•Stationary:Foreveryt,PDF(ProbabilityD
8、ensityFunction),xand2ofeveryrecordareconstant