Inverse Problems in Science and Engineering最新文献_第10页

Nonlocal viscoelastic Euler-Bernoulli beam model: a Bayesian approach for parameter estimation using the delayed rejection adaptive metropolis algorithm 非局部粘弹性Euler-Bernoulli梁模型：一种基于延迟拒绝自适应metropolis算法的参数估计贝叶斯方法

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2020-12-28 DOI: 10.1080/17415977.2020.1865344

D. S. Faria, L. T. Stutz, D. Castello

{"title":"Nonlocal viscoelastic Euler-Bernoulli beam model: a Bayesian approach for parameter estimation using the delayed rejection adaptive metropolis algorithm","authors":"D. S. Faria, L. T. Stutz, D. Castello","doi":"10.1080/17415977.2020.1865344","DOIUrl":"https://doi.org/10.1080/17415977.2020.1865344","url":null,"abstract":"The present work presents a model for nonlocal and viscoelastic Euler-Bernoulli beams and aspects of its calibration are addressed. The nonlocal feature of the model is described by the nonlocal elasticity theory proposed by Eringen and its viscoelastic behaviour is modelled by means of internal variables. Parametric analyses are performed to determine the impact of the nonlocal and viscoelastic parameters on the modal properties of the system. Inverse analyses are performed under the Bayesian framework and samples of the posterior density function are obtained by means of the Delayed Rejection Adaptive Metropolis (DRAM). The inverse analyses consider a nonlocal viscoelastic beam model with one internal variable and they address three aspects, namely: the impact of a misspecification of the beam diameter, the impact of modelling the beam diameter as an unknown but uninteresting model parameter and the model calibration when synthetic experimental data comes from a model containing two internal variables. The model parameters were chosen such that the system resembles a Single-Walled Carbon Nanotube (SWCNT).","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"1672 - 1701"},"PeriodicalIF":1.3,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2020.1865344","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49558047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Adaptative regularization parameter for Poisson noise with a bilevel approach: application to spectral computerized tomography 基于双能级法的泊松噪声自适应正则化参数:在光谱计算机断层扫描中的应用

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2020-12-22 DOI: 10.1080/17415977.2020.1864348

B. Sixou

引用次数: 1

A local meshless procedure to determine the unknown control parameter in the multi-dimensional inverse problems 一种局部无网格法确定未知控制参数的多维逆问题

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2020-12-10 DOI: 10.1080/17415977.2020.1849180

M. Dehghan, Nasim Shafieeabyaneh, Mostafa Abbaszadeh

{"title":"A local meshless procedure to determine the unknown control parameter in the multi-dimensional inverse problems","authors":"M. Dehghan, Nasim Shafieeabyaneh, Mostafa Abbaszadeh","doi":"10.1080/17415977.2020.1849180","DOIUrl":"https://doi.org/10.1080/17415977.2020.1849180","url":null,"abstract":"This article is devoted to applying a local meshless method for specifying an unknown control parameter in one- and multi-dimensional inverse problems which are considered with a temperature overspecification condition at a specific point or an energy overspecification condition over the computational domain. Finding the unknowns in inverse problems is a challenge because these problems are modeled as non-classical parabolic problems and also have a significant role in describing physical phenomena of the real world. In this study, a combination of the meshless method of radial basis functions and finite difference method (called radial basis function-finite difference method) is used to solve inverse problems because this method has two important features. First it does not require any mesh generation. Consequently, it can be exerted to handle the high-dimensional inverse problems. Secondly, since this method is local, at each time step, a system with a sparse coefficient matrix is solved. Hence, the computational time and cost will be much low. Various numerical examples are examined, and also the accuracy and computational time required are presented. The numerical results indicate that the mentioned procedure is appropriate for the identification of the unknown parameter of inverse problems.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"1369 - 1400"},"PeriodicalIF":1.3,"publicationDate":"2020-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2020.1849180","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47060215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3

Regularization of the boundary control method for numerical solutions of the inverse problem for an acoustic wave equation 声波方程反问题数值解边界控制方法的正则化

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2020-12-10 DOI: 10.1080/17415977.2020.1858077

A. Timonov

引用次数: 1

PSO-aided fuzzy inference of material elastic constants with resonant ultrasound spectroscopy PSO辅助共振超声谱模糊推理材料弹性常数

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2020-12-10 DOI: 10.1080/17415977.2020.1856102

Kai Yang, Jinbo Liu, T. Zhu, Hui Wang, Xinxin Zhu

引用次数: 0

Estimation of bivariate probability distributions of nanoparticle characteristics, based on univariate measurements 基于单变量测量的纳米粒子特性的二元概率分布估计

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2020-12-08 DOI: 10.1080/17415977.2020.1849181

O. Furat, U. Frank, Matthias Weber, S. Wawra, W. Peukert, V. Schmidt

{"title":"Estimation of bivariate probability distributions of nanoparticle characteristics, based on univariate measurements","authors":"O. Furat, U. Frank, Matthias Weber, S. Wawra, W. Peukert, V. Schmidt","doi":"10.1080/17415977.2020.1849181","DOIUrl":"https://doi.org/10.1080/17415977.2020.1849181","url":null,"abstract":"ABSTRACT The properties of complex particle systems typically depend on multivariate distributions of particle properties, like size and shape characteristics. Multidimensional particle property distributions can be a powerful tool to describe these systems. However, only few techniques exist which are able to simultaneously measure more than one property of individual particles in fast and efficient ways. It is shown how two-dimensional property spaces can be constructed by the combination of two univariate measurements to obtain bivariate particle size distributions. The proposed method is a general approach, which can be applied to a wide spectrum of particle systems and measurement devices. In this paper, the results of a case study are presented, which allow the estimation of bivariate distributions of length and diameter of nanorods, solely using univariate distributions of their particle mass and extinction-weighted sedimentation coefficient distributions. These quantities contain joint information about the particle lengths and diameters, which is used for the reconstruction. The method is validated in a simulation study in which the bivariate distribution to be reconstructed and the reconstruction parameters are varied. In addition, regularization techniques are introduced to reduce methodical errors. This approach can be transferred to other particle systems and measurement techniques, for which functional relationships between particle properties and measured quantities are well described.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"1343 - 1368"},"PeriodicalIF":1.3,"publicationDate":"2020-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2020.1849181","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48844932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 5

An inverse problem for a time-fractional advection equation associated with a nonlinear reaction term 一个与非线性反应项相关的时间分数阶平流方程的反问题

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2020-11-25 DOI: 10.1080/17415977.2020.1849183

Hoang-Hung Vo, Triet Le Minh, Phong Luu Hong, Canh Vo Van

{"title":"An inverse problem for a time-fractional advection equation associated with a nonlinear reaction term","authors":"Hoang-Hung Vo, Triet Le Minh, Phong Luu Hong, Canh Vo Van","doi":"10.1080/17415977.2020.1849183","DOIUrl":"https://doi.org/10.1080/17415977.2020.1849183","url":null,"abstract":"Fractional derivative is an important notion in the study of the contemporary mathematics not only because it is more mathematically general than the classical derivative but also it really has applications to understand many physical phenomena. In particular, fractional derivatives are related to long power-law particle jumps, which can be understood as transient anomalous sub-diffusion model (see Sabzikar F, Meerschaert M, Chen J. Tempered fractional calculus. J Comput Phys. 2015;293:14–28; Sokolov IM, Klafter J, Blumen A. Fractional kinetics. Phys Today. 2002;55:48–54; Sokolov IM, Klafter J. Anomalous diffusion spreads its wings. Phys World. 2005;18:19–22; Zhang Y, Meerschaert MM, Packman AI. Linking fluvial bed sediment transport across scales. Geophys Res Lett. 2012;39(20):20404. doi:10.1029/2012GL053476). Based on the models given in Scher H, Montroll EW. Anomalous transit-time dispersion in amorphous solids. Phys Rev B. 1975;12(6):2455–2477 and Zheng GH, Wei T. Spectral regularization method for solving a time-fractional inverse diffusion problem. Appl Math Comput. 2011;218:1972–1990, we study an inverse problem for the advection equation with a nonlinear reaction term in a two-dimensional semi-infinite domain for which we recover the initial distribution from the observation data provided at the final location x = 1. This problem is severely ill-posed in the sense of Hadamard. Thus, we propose a regularization method to construct an approximate solution for the problem. From that, convergence rate of the regularized solution is obtained under some a priori bound assumptions on the exact solution. Eventually, a numerical experiment is given to show the effectiveness of the proposed regularization methods.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"23 6","pages":"1178 - 1198"},"PeriodicalIF":1.3,"publicationDate":"2020-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2020.1849183","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41272475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 4

Submatrix constrained left and right inverse eigenvalue problem for centrosymmetric matrices 中心对称矩阵的子矩阵约束左右特征值反问题

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2020-11-21 DOI: 10.1080/17415977.2020.1850716

Lijun Zhao

引用次数: 0

Uniquely identifying the variable order of time-fractional partial differential equations on general multi-dimensional domains 一般多维域上变阶分数阶偏微分方程的唯一辨识

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2020-11-20 DOI: 10.1080/17415977.2020.1849182

Xiangcheng Zheng, Hong Wang

引用次数: 6

Study of a fixed-lag Kalman smoother for input and state estimation in vibrating structures 用于振动结构输入和状态估计的固定滞后卡尔曼平滑器的研究

IF 1.3 4区工程技术

Inverse Problems in Science and Engineering Pub Date : 2020-11-20 DOI: 10.1080/17415977.2020.1845669

Ulrika Lagerblad, H. Wentzel, A. Kulachenko

{"title":"Study of a fixed-lag Kalman smoother for input and state estimation in vibrating structures","authors":"Ulrika Lagerblad, H. Wentzel, A. Kulachenko","doi":"10.1080/17415977.2020.1845669","DOIUrl":"https://doi.org/10.1080/17415977.2020.1845669","url":null,"abstract":"ABSTRACT This paper presents a numerical study of an augmented Kalman filter extended with a fixed-lag smoother. The smoother solves the joint input and state estimation problem based on sparse vibration measurements. Two numerical examples are examined in order to study the influence of model errors and measurement noise on the estimate quality. From simulations of a simply supported beam, it is shown that estimates from the smoother are superior to those of a conventional Kalman filter, both when the level of model error and measurement noise are increased. By studying simulations of a truck component, the improvement due to smoothing over a conventional Kalman filter is shown to be even greater when the model error is present in both the eigenfrequencies and the mode shapes. In addition, a sensitivity analysis of a tuning methodology with the assumption of constant noise covariance matrices is performed. The result indicates that the proposed tuning methodology results in stable estimates with a good trade-off between estimator adaptability and noise sensitivity. The presented approach of tuning and evaluating the estimates is therefore suggested as a guideline for using the fixed-lag smoother when solving input and state estimation problems in vibrating structures.","PeriodicalId":54926,"journal":{"name":"Inverse Problems in Science and Engineering","volume":"29 1","pages":"1260 - 1281"},"PeriodicalIF":1.3,"publicationDate":"2020-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17415977.2020.1845669","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42176944","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 4