基于静力测量数据的梁式结构统计模型修正

武汉理工大学硕士学位论文AbstractAs engineering structure becomes more large-scale and complex,the safety ofthe structure has also drawn more attention,so it becomes very common to use thefinite element simulation technology to conduct various analysis for the real structure.In the process of modeling analysis,there is always a deviation between thetheoretical calculation results of the finite element model and the measured resultsdue to the modeling errors,size errors caused by the construction process and thechange of the stiffness in the practical process of use.So it is necessary to conductstatistical updating for the finite element model in practical applications,so that thetheoretical calculation results of the finite element model after updating are same asmeasured results.So far,there have been many methods about finite element modelupdating.Combining with the work of other researchers,using the static displacementmeasurement data,this paper studied statistical model updating method,and theeffect of measurement noise on the calculation result is discussed.The main workstudied as follows:1.Has done some work on the simple review and summary to the finite elementmodel updating method at home and abroad,evaluated the advantages anddisadvantages of various methods,concluding that it is inevitable to conductstatistical updating for the finite element model in the category of probability.Whenconduct model updating using static displacement,measurement errors should beconsidered which obey different probability distribution at the same time.2.By means of stochastic finite element method and the static condensationmethod,statistical model updating method based on the static deflection measurementdata was deduced without considering measurement noise.Get the updatingcoefficient of each unit by this method.The numerical examples show that the modelupdating result of the method is good,and the vertical displacement value oftheoretical calculation model is consistent with the measurement displacement value.3.Considering that the static displacement measurement process is affected bymeasurement noise inevitably,and the type of probability distribution of themeasurement noise is influenced by many factors,so it is difficult to determine itsspecific type.The probability distribution of measurement error will be divided intotwo different situations of normal distribution and non-normal distributionrespectively in this paper.When measurement error is a B distribution,expand theupdating coefficient according to the orthogonal polynomial,and consider multiplefactors influencing the measurement error of displacement.In the simulation of anumerical example,consider the effect that the variation of coefficient has on theresults.The numerical examples show that calculation result of the paper is consistent