摘要
由于受激励未知、测量噪声及建模误差等因素影响,基于振动的结构损伤识别结果存在明显不确定性。
为此,利用振动传递率函数和统计假设检验进行结构损伤识别研究。用结构损伤前后加速度响应计算振动传递率函数;
用主成分分析(PrincipalComponentAnalysis,PCA)提取结构损伤前后振动传递率函数的第一阶主成分作为正态总体样
本;用多元统计分析中F检验法进行假设检验分析以达损伤识别目的。该方法无需激励信息,具有一定抗噪声能力,适合
处理激励未知、测量噪声等因素引起的不确定性问题。通过海洋平台结构数值模拟及振动台模型试验验证该方法的可
行性。
Abstract
Theresultsofthestructuraldamageidentificationbasedonvibrationhaveobviousuncertaintybecauseoftheinfluencesofunknownexcitation,measurementnoiseandmodelingerror.Here,thevibrationtransmissibilityfunction andstatisticalhypothesistestingmethodswereutilizedtoidentifythestructuraldamage.Firstly,theaccelerationresponses beforeandafterthestructuraldamagewereusedtocalculatethevibrationtransmissibilityfunction.Thenthefirstprincipal
componentofvibrationtransmissibilityfunctionbeforeandafterthestructuraldamagewasextractedwithprincipal componentanalysis(PCA),whichwastreatedasasampleofnormalpopulation.Finally,theFtestofmultivariate statisticalanalysiswasemployedforhypothesistestinganalysistoachievethepurposeofdamageidentification.This methoddoesnotneedinformationofexcitationandisabletoresistnoise,it’ssuitableforhandlinguncertainproblems resultingfromunknownexcitationandmeasurementnoise.Thenumericalsimulationofanoffshoreplatformstructureandtheshakingtablemodeltestshowedthattheproposedmethodisfeasible.
关键词
损伤识别 /
传递率函数 /
主成分分析 /
海洋平台 /
假设检验
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Key words
damageidentification /
transmissibilityfunction /
principalcomponentanalysis(PCA) /
offshoreplatform /
hypothesistesting
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刁延松1,2,徐东锋1,徐 菁1,2,毛 辉1,2.
基于振动传递率函数与统计假设检验的海洋平台结构损伤识别研究[J]. 振动与冲击, 2016, 35(2): 218-222
DIAOYansong1,2,XUDongfeng1,XUJing1,2,MAOHui1,2.
Structuraldamageidentificationofoffshoreplatform basedonthevibration#br# transmissibilityfunctionandstatisticalhypothesistesting[J]. Journal of Vibration and Shock, 2016, 35(2): 218-222
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脚注
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