用加速度传感器测量振动位移的方法_刘继承

天馈伺系统*刘继承1,徐庆华2,查建新1(1.南京电子技术研究所,南京210013)(2.南京航空航天大学振动工程研究所,南京210016),,,,;;;:TN820:AMethodofVibrationDisplacementMeasuredwithAccelerationSensorLIUJ-icheng1,XUQing-hua2,ZHAJian-xin1(1.NanjingResearchInstituteofElectronicsTechnology,Nanjing210013,China)(2.InstituteofVibrationEngineeringResearch,NanjingUniversityofAeronauticsandAstronautics,Nanjing210016,China)AbstractMethodofvibrationdisplacementmeasuredwithaccelerationsensorisintroduced.Basedonfrequency-spec-trum-transformation,thisalgorithmfirstchangesaccelerationspectrumintodisplacementspectrum,thencalculatesitsamplitude,angularfrequencyandinitialanglerelatedtoeverydisplacementspectrum,finallysumsupallthedisplacementcomponentsandformsthetimecourseofthemeasuredvibration.Verifyingtestresultsshowthatthealgorithmisfeasibleanditsprecisionmeetstheneedsofengineeringpractices.Keywordsvibration;acceleration;displacement;frequencyspectrum0引言:,():,[1-2],,,,,[3],,,,,,,,,1频谱转换法原理,Tx(t),x(n)TN,x(t)(DFT)X(k)=DFTx(n)=2N-1n=0x(n)e-j2PNnk(1):nk0,1,2,,,(N-1)DFT(FFT)x(n)X(k)N()6929520075ModernRadarVo.l29No.5May2007*:2006-10-08:2007-02-20X(k)=DFTx(n)=(a0,jb0),(a1,jb1),,,(aN-1,jbN-1)(2)x(n)(3)Ak=a2k+b2kXk=2PkTUk=arctanbkak(3),(4),(5),(6)a=Aa0cos(X0t+Ua0)+Aa1cos(X1t+Ua1)+,+AaN-1cos(XN-1t+UaN-1)(4)d=Ad0cos(X0t+Ud0)+Ad1cos(X1t+Ud1)+,+AdN-1cos(XN-1t+UdN-1)(5)Adi=Aai/X2i,Udi=Uai-P(6),,:(1)a(n),a(n)FFTA(k)A(k)=FFTa(n)=(aa0,jba0),(aa1,jba1),,,(aaN-1,jbaN-1)(2)(3)AakXkUak;(3)(6)(Adk)(Udk);(4)(5)2实验验证PolytecPDV100,,,,:Agilent35670;Labwork141;UD;PDV100;PCB333B32ICP2.1PDV100PCB(1),PCB,2~4,aPDV100,bPCB,c122.5Hz2.22.5Hz7029,,3(5Hz~20Hz(0.01g2/Hz))4+5Hz(0.5g)+27Hz(1g)+20~100Hz(0.005g2/Hz5PDV100PCB(5),,663结语,:1),;2)(+),10%,[1],.[J].,1994(6):32-33.[2].[J].,2003,22(9):70-77.[3]K-iTaePark.Thedeterminationofbridgedisplacementusingmeasuredacceleration[J].EngineeringStructures,2005,27:371-378.男,1965年生,博士,高工研究方向为结构动力学及环境试验男,1964年生,硕士,高工研究方向为振动测试与分析男,1974年生,硕士,工程师研究方向为可靠性工程及环境试验715,: