Structural shape monitoring plays a vital role in the structural health monitoring *** inverse finite element method(iFEM)has been demonstrated to be a practical method of deformation reconstruction owing to its uniqu...
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Structural shape monitoring plays a vital role in the structural health monitoring *** inverse finite element method(iFEM)has been demonstrated to be a practical method of deformation reconstruction owing to its unique *** iFEM formulations have been applied to small deformation of structures based on the small-displacement assumption of linear ***,this assumption may be inapplicable to some structures with large displacements in practical ***,geometric nonlinearity needs to be *** this study,to expand the practical utility of iFEM for large displacement monitoring,we propose a nonlinear iFEM algorithm based on a four-node inverse quadrilateral shell element *** the advantage of an iterative iFEM algorithm,a nonlinear response is linearized to compute the geometrically nonlinear deformation reconstruction,like the basic concept of nonlinear FE *** examples are solved to verify the proposed *** is demonstrated that large displacements can be accurately estimated even if the in-situ sensor data includes different levels of randomly generated *** is proven that the nonlinear iFEM algorithm provides a more accurate displacement response as compared to the linear iFEM methodology for structures undergoing large ***,the proposed approach can be utilized as a viable tool to effectively characterize geometrically nonlinear deformations of structures in real-time applications.
In this paper, we develop an iterative algorithm for proper orthogonal decomposition (POD) basis adaptation in solving linear parametric PDEs. Specifically, we consider the convection-diffusion equations with diffusiv...
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In this paper, we develop an iterative algorithm for proper orthogonal decomposition (POD) basis adaptation in solving linear parametric PDEs. Specifically, we consider the convection-diffusion equations with diffusivity as a parameter. To construct POD basis functions for the convection-diffusion equation with a small diffusivity, we need a fine-grid solver to obtain accurate solution snapshots, which leads to a large amount of computation and memory costs. Meanwhile, a coarse-grid solver is sufficient for obtaining accurate solution snapshots for the convection-diffusion equation with a large diffusivity. We aim to adapt the POD basis functions extracted from the solution snapshots of a large diffusivity for the construction of a reduced order model at a small diffusivity without resorting to a fine-grid solver. Our POD basis adaptation method exploits the implicit dependence of solutions on diffusivity. The POD basis functions are adapted through an iterative algorithm, where the full-order model simulation at a large diffusivity and the POD-based reduced-order model simulation at a small diffusivity are implemented, alternatively. We also provide convergence analysis for our POD basis adaptation method. The algorithm and convergence analysis can be generalized to other types of linear parametric PDEs without any difficulty. Finally, we present numerical results to demonstrate the performance and accuracy of the proposed method.(c) 2021 Elsevier B.V. All rights reserved.
This paper considers a problem of signal modeling for multi-frequency signals. Because many characteristic parameters are contained in the multi-frequency signals, it is difficult to obtain these estimates of these ch...
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ISBN:
(纸本)9781665440899
This paper considers a problem of signal modeling for multi-frequency signals. Because many characteristic parameters are contained in the multi-frequency signals, it is difficult to obtain these estimates of these characteristic parameters. According to the different relations between the signal output and the amplitude parameters and frequency parameters of the multi-frequency sine signal, the signal parameters are divided into two parameter sets. In terms of these two different parameter sets, two identification sub-models are constructed for deriving two identification sub-algorithms by means of the gradient search and iterative technique. By uniting two identification algorithms, a joint gradient-based iterative signal modeling method is presented for estimating the total parameters of the multi-frequency sine signal. The performance of the proposed signal modeling method is validated through the computer simulations.
In this paper, we present a new version of Darbo's theorem to establish the solvability of a weighted fractional integral equation with respect to another function. To justify the validity of our results, a suitab...
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In this paper, we present a new version of Darbo's theorem to establish the solvability of a weighted fractional integral equation with respect to another function. To justify the validity of our results, a suitable example is provided and we construct an iterative algorithm by Sinc function to approximate the solution of the example.
In this work, an extended numerical model for viscous dampers, which can be deemed as a generalised Newtonian fluid model, is proposed based on the conventional power-law fluid viscosity. With a flexible definition of...
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In this work, an extended numerical model for viscous dampers, which can be deemed as a generalised Newtonian fluid model, is proposed based on the conventional power-law fluid viscosity. With a flexible definition of damping coefficient, a wide range of damper response can be simulated using the new damper model. An efficient direct integration algorithm with an iterative scheme is proposed for the state determination of the corresponding Maxwell model that employs the proposed dashpot and spring with either elastic or elastoplastic response. Compared to an ODE solver based approach, which has limitations in terms of applicability/accuracy, compatibility/consistency and efficiency/robustness, the proposed algorithm has a higher computational performance and is less sensitive to numerical instability issues. The proposed viscous damper model and the state determination algorithm can be readily used in simulations of various damped dynamic systems.
In this article, we establish the existence of solution for two dimensional nonlinear fractional integral equation using fixed point theorem and measure of noncompactness. Applicability of our results is shown by some...
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In this article, we establish the existence of solution for two dimensional nonlinear fractional integral equation using fixed point theorem and measure of noncompactness. Applicability of our results is shown by some examples and for validity of the proposed method we make an iterative algorithm by semi-analytic technique that finds a closed form of the solution with an acceptable accuracy. Ability of the proposed method is granted by comparison with another method found in existing literature. (C) 2019 Elsevier B.V. All rights reserved.
In recent years, a large number of tram-tracks have been constructed in typical soft soil area of China. Infrastructure defects due to the differential foundation settlement are serious issues in this area. To ensure ...
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In recent years, a large number of tram-tracks have been constructed in typical soft soil area of China. Infrastructure defects due to the differential foundation settlement are serious issues in this area. To ensure the operation safety of the tram, the influence of different infrastructure defects on the dynamic response of the tram-track system has been investigated in this paper. A dynamic model of a five-module 100% low-floor tram vehicle coupled with a slab track system is developed based on a finite element (FE) method and multibody kinematics. The articulation between different vehicle modules, the wheel-rail nonlinear contact, pad failures, and a cavity in the subgrade have been taken into account in this model. The dynamic response of the vehicle-track coupling system to different operation speeds and infrastructure defects are calculated. Results indicate that the vibration energy of the vehicle body is mainly distributed in the frequency range below 1.5 Hz. This frequency range should be paid special attention in the durability design for the vehicle structure. When the number of the failure pads is larger than 3, the pad failure in tram-track has significant influence on the system dynamic response. A cavity in subgrade has a limited effect on high frequency vibrations (above 100 Hz) of the rail, while the low frequency vibrations (below 75 Hz) of the rail can be obviously increased by cavities in subgrade. The model can be used in the optimization of suspension parameters and the tram vehicle-track coupled vibration analysis.
Elliptic localization, where a transmitter illuminates the target of interest and multiple receivers collect the reflected signal to determine its position, appears in many practical applications. In this letter, we p...
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Elliptic localization, where a transmitter illuminates the target of interest and multiple receivers collect the reflected signal to determine its position, appears in many practical applications. In this letter, we propose a simple and effective iterative algorithm for locating a target using the time-delay measurements from the indirect paths. The proposed algorithm, which only requires addition, multiplication, and root-squares, has a lower complexity. Unlike most existing schemes, the proposed algorithm does not has approximation in its derivation. Moreover, a multiple initial values scheme is designed to improve the robustness of the algorithm. Simulation results verify that the proposed algorithm outperforms the existing approaches.
To increase market transparency, independent system operators (ISOs) have been working on minimizing uplift payments based on convex hull pricing theorems. Along this direction, in this paper, based on the analysis of...
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To increase market transparency, independent system operators (ISOs) have been working on minimizing uplift payments based on convex hull pricing theorems. Along this direction, in this paper, based on the analysis of specific generator features in the Midcontinent ISO (MISO) system, besides reviewing integral formulations for several special cases, we develop two integral formulations of a single generator that can capture these features. We then build a compact convex hull pricing formulation based on these integral formulations, which guarantees to obtain an exact convex hull price by solving a large-scale linear program. Meanwhile, to address the computational challenges caused by the large-scale MISO system, we propose innovative iterative algorithms with convergence properties, plus a complementary algorithm, to obtain an approximated convex hull price. The case studies on MISO instances with and without transmission constraints indicate that our algorithms lead to an exact convex hull price for all numerical studies and, the solutions can be obtained within 20 minutes.
The present paper develops two iterative algorithms to determine the periods and then the periodic solutions of nonlinear jerk equations. We consider two possible cases: initial values unknown and initial values given...
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The present paper develops two iterative algorithms to determine the periods and then the periodic solutions of nonlinear jerk equations. We consider two possible cases: initial values unknown and initial values given. A shape function method is introduced, by which we can transform the periodic problem to an initial value problem for the new variable, while the period and the terminal values of the new variable at the end of a period are determined iteratively. The initial value problem method (IVPM) can satisfy the periodic conditions exactly. Three examples reveal the advantages of the new iterative algorithms based on the IVPM, which converge fastly and also provide very accurate periodic solutions and periods of the nonlinear jerk equations. (C) 2019 Elsevier Ltd. All rights reserved.
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