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文物储藏柜结构动力特性测试识别及有限元模型修正

发布时间:2018-12-13 15:31
【摘要】:我国馆藏可移动文物十分丰富,对馆藏文物建立“馆舍+储藏柜(展柜)+文物”全系统的防震安全体系十分重要。博物馆作为公共建筑,需要满足相应的结构抗震设计规范要求,而储藏柜作为放置文物的主体结构,也是博物馆结构内的二次结构,其真实的动力特性对于馆藏文物的抗震安全来说至关重要。为了得到储藏柜结构实际的动力特性,本文以某博物馆实际的储藏柜为例,对其进行环境振动测试;考虑测试误差和模型误差,利用贝叶斯方法对其模态参数和刚度参数进行识别;类比建筑结构提出储藏柜结构的有限元建模方法,并利用贝叶斯方法对所建有限元模型进行修正。主要研究内容和结论如下:(1)对四层和六层储藏柜结构进行了环境振动测试,利用快速贝叶斯FFT方法对其模态参数进行了识别;对比了不同层数和不同边界条件(浮放和固定)对结构动力特性的影响;对比了经典统计概率和贝叶斯概率识别结果的不确定性。结果表明:储藏柜结构的动力特性与多层钢筋混凝土结构类似;自振频率的识别精度远大于阻尼比,且在给定测试数据的情况下,振型的识别精度较高;六层储藏柜结构前两阶自振频率均大于四层储藏柜结构,但振型形式不变;在弹性阶段,储藏柜结构浮放还是固定对其动力特性没有影响;多次测试识别结果的统计概率不确定性大于单次测试的贝叶斯概率不确定性。(2)基于四层和六层储藏柜结构的模态参数识别结果,利用确定性和贝叶斯模型参数识别方法对储藏柜结构的层间刚度进行了识别,建立了储藏柜结构的多自由度质点系模型。结果表明:确定性方法识别结果处于贝叶斯方法识别所得最有可能值加减三倍标准差的范围内;储藏柜结构的短轴向刚度大于长轴向刚度。(3)对储藏柜结构的构件进行了定义,对各构件间的连接进行了假定,类比框架结构,提出了储藏柜结构的有限元建模方法。通过调整三个既非铰接也非固接的构件间连接单元的刚度,使得四层和六层储藏柜结构的有限元模态分析结果与识别结果较为接近。(4)提出了基于贝叶斯理论的模型修正的数值优化结合抽样方法:该方法可以避免得到修正参数的局部最优解;直接对模型参数进行修正使得修正结果物理意义更明确。利用所提方法对所测四层和六层储藏柜结构的初始有限元模型进行了修正,结果表明:所提方法得到的模型参数修正结果为全局最优解,并可得到表征修正结果精度的模型参数的变异系数;最终得到了经实测数据修正的更为精确的四层和六层储藏柜结构有限元模型。
[Abstract]:The collection of movable cultural relics in our country is very rich, so it is very important for the collection of cultural relics to establish the whole system of anti-earthquake safety system of "the storage cabinets (display cabinets) of the library premises". As a public building, museums need to meet the requirements of the corresponding structural seismic design code, and storage cabinets, as the main structure for placing cultural relics, are also the secondary structures within the museum structure. Its true dynamic characteristics are very important for the seismic safety of the collection. In order to obtain the actual dynamic characteristics of the storage cabinet structure, this paper takes the actual storage cabinet of a museum as an example, carries on the environmental vibration test to it; Considering the test error and model error, Bayesian method is used to identify the modal parameters and stiffness parameters. The finite element modeling method of storage tank structure is put forward by analogy with building structure, and the Bayesian method is used to modify the finite element model. The main contents and conclusions are as follows: (1) the environmental vibration of the four-layer and six-layer storage tank structures is tested and the modal parameters are identified by using the fast Bayesian FFT method; The effects of different layers and boundary conditions (floating and fixing) on the dynamic characteristics of the structure are compared, and the uncertainties of the results of classical statistical probability and Bayesian probability identification are compared. The results show that the dynamic characteristics of the storage tank structure are similar to those of the multi-story reinforced concrete structure, the identification accuracy of the natural vibration frequency is much higher than that of the damping ratio, and the identification accuracy of the vibration mode is higher when the test data are given. The first two natural frequencies of the six-story storage cabinet structure are higher than that of the four-layer storage cabinet structure, but the mode of vibration is unchanged, in the elastic stage, the floating or fixing of the storage cabinet structure has no effect on its dynamic characteristics. The statistical probabilistic uncertainty of multiple test identification results is greater than that of Bayesian probabilistic uncertainty of single test. (2) based on the modal parameter identification results of four and six layers storage tank structure, By using deterministic and Bayesian model parameter identification method, the interlayer stiffness of storage tank structure is identified, and the multi-degree of freedom particle system model of storage tank structure is established. The results show that the result of the deterministic method is within the range of the most probable value of the Bayesian method, the addition and subtraction of the standard deviation of three times. The short axial stiffness of storage cabinet structure is larger than that of long axial stiffness. (3) the structural components of storage cabinet are defined, and the connection among each component is assumed. The finite element modeling method of storage cabinet structure is proposed by analogy with the frame structure. By adjusting the stiffness of the three connection elements that are neither hinged nor fixed, The results of finite element modal analysis of four-story and six-story storage tank structures are close to the identification results. (4) A model modified numerical optimization combined sampling method based on Bayesian theory is proposed: this method can be avoided. To the local optimal solution of the modified parameter; The physical meaning of the modified results is more clear by modifying the parameters of the model directly. The proposed method is used to modify the initial finite element model of the four-layer and six-layer storage tank structures. The results show that the proposed method is the global optimal solution for the model parameters. The variation coefficient of the model parameters which can characterize the accuracy of the modified results can be obtained. Finally, a more accurate finite element model of four and six storeys storage tank is obtained.
【学位授予单位】:北京交通大学
【学位级别】:硕士
【学位授予年份】:2017
【分类号】:TU311.3

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