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Inverse problem analysis for nondestructive evaluation of structural characteristics of multilayered foundations
Archive of Applied Mechanics ( IF 2.8 ) Pub Date : 2021-01-07 , DOI: 10.1007/s00419-020-01854-5
Alexander Vladimirovich Trofimov

The evaluation of the parameters of multilayered foundations (pavements, runway strips, etc.) plays an important role in ensuring the safe movement of vehicles. An approach of model construction for estimating the mechanical and geometric parameters of such foundations based on the solutions of inverse problems for multilayered elastic packets is proposed. As input data for such problems the measured displacements (or velocities) of certain points on the package surface are used. The proposed approach is based on informational-probabilistic paradigm for inverse problem analysis, whose task is to obtain a posteriori probability density in the space of unknown parameters. The essence of the approach is the block-parametric approximation of the a priori probability density and likelihood function in the spaces of parameters and model data of the problem. The method allows estimating the parameters of the a priori distribution of unknown variable parameters, identifying and excluding outliers of the measured data from the created model, and constructing a posteriori estimation of the unknown parameters’ probability density with acceptable resolution. Proposed method can be used to create a new generation of equipment intended for nondestructive monitoring and estimating of the condition of pavements, runways and foundations of artificial structures. The appropriate software for such high-speed scanning devices that allow on-the-fly display of the diagnosed layered foundation parameters can be developed.



中文翻译:

多层地基结构特性无损评估的反问题分析

多层地基(路面,跑道带等)参数的评估在确保车辆安全行驶方面起着重要作用。提出了一种基于多层弹性包反问题解的模型构造方法,用于估算这种基础的力学和几何参数。作为用于此类问题的输入数据,使用包装表面上某些点的测量位移(或速度)。所提出的方法基于信息概率范式进行逆问题分析,其任务是在未知参数空间中获得后验概率密度。该方法的本质是在问题的参数和模型数据空间中,先验概率密度和似然函数的块参数逼近。该方法允许估计未知变量参数的先验分布的参数,从创建的模型中识别和排除测量数据的离群值,并构造具有可接受分辨率的未知参数概率密度的后验估计。所提议的方法可用于创建新一代设备,用于无损监控和估算人造结构的路面,跑道和地基状况。可以为这种高速扫描设备开发合适的软件,该软件可以动态显示已诊断的分层基础参数。该方法允许估计未知变量参数的先验分布的参数,从创建的模型中识别和排除测量数据的离群值,并构造具有可接受分辨率的未知参数概率密度的后验估计。提议的方法可用于创建新一代设备,用于无损监控和估算人造结构的路面,跑道和地基状况。可以为这种高速扫描设备开发合适的软件,该软件可以动态显示已诊断的分层基础参数。该方法允许估计未知变量参数的先验分布的参数,从创建的模型中识别和排除测量数据的离群值,并构造具有可接受分辨率的未知参数概率密度的后验估计。提议的方法可用于创建新一代设备,用于无损监控和估算人造结构的路面,跑道和地基状况。可以为这种高速扫描设备开发合适的软件,该软件可以动态显示已诊断的分层基础参数。并以可接受的分辨率构造后验估计未知参数的概率密度。提议的方法可用于创建新一代设备,用于无损监控和估算人造结构的路面,跑道和地基状况。可以为这种高速扫描设备开发合适的软件,该软件可以动态显示已诊断的分层基础参数。并以可接受的分辨率构造后验估计未知参数的概率密度。提议的方法可用于创建新一代设备,用于无损监控和估算人造结构的路面,跑道和地基状况。可以为这种高速扫描设备开发合适的软件,该软件可以动态显示已诊断的分层基础参数。

更新日期:2021-01-07
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