December 2024
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3 Reads
Applied Mathematical Modelling
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December 2024
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3 Reads
Applied Mathematical Modelling
September 2024
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4 Reads
Applied Numerical Mathematics
March 2023
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93 Reads
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3 Citations
Mathematics
In this paper, a cost-oriented optimization model of station spacing is presented to analyze the influencing factors of station spacing and layout near Shanghai Pudong International Airport. The Hierarchical Density-Based Spatial Clustering of Applications with Noise (HDBSCAN) algorithm is used to cluster and analyze the high population density, and optimize the station layout in the southwest of Pudong International Airport. A spatial analysis of the land use and geological conditions in Pudong New Area is given. Combining the optimal station spacing, ideal location and spatial analysis, five routing schemes to Pudong International Airport are proposed. The DBSCAN and K-means algorithms are used to analyze the “PDIA-SL” dataset. The results show that the space complexity of the HDBSCAN is O(825), and the silhouette coefficient is 0.6043, which has obvious advantages over the results of DBSCAN and K-means. This paper combines urban rail transit planning with the HDBSCAN algorithm to present some suggestions and specific route plans for local governments to scientifically plan rail transit lines. Meanwhile, the research method of station layout, which integrates station spacing, ideal location and spatial analysis optimization, is pioneering and can provide a reference for developing rail transit in metropolises.
November 2022
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78 Reads
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2 Citations
Mathematics
The prediction of bridge service performance is essential for bridge maintenance, operation, and decision making. As a key component of the superstructure, the performance of the main girders is critical to the structural safety of the bridge. This study makes full use of the inspection records from the Bridge Management System (BMS) in Shanghai and performs pre-processing work on a large amount of data. Recent advances in survival analysis were utilized to investigate the inspection records of over 40,000 reinforced concrete bridge main girders over a 14-year period. Survival analysis methods based on the Weibull distribution were used to predict the service performance of the main girders, and, in addition, a COX proportional hazards model was used to analyze the effect of different covariates on the survival of the main girders. The results show that the deterioration rate of main girders increases with age, with an average life of 87 years for main girders in Shanghai. The grade of the road on which the bridge is located and the position of the main girder in the bridge superstructure have a significant impact on the probability of survival of the main girder. It can be concluded that more attention should be paid to the inspection and maintenance of side girders on branch roads to reduce the pressure on bridge management in the future. Furthermore, the analysis in this study found that the deterioration rate of the main girders is faster than the deterioration rate of the whole bridge and superstructure, and, therefore, more attention and necessary preventive maintenance measures should be taken in the maintenance and management of the main girders.
September 2022
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52 Reads
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10 Citations
Mathematics
In this paper, the factors influencing the passenger flow of rail transit stations in Shanghai of China are studied by using the entropy weight-grey correlation model. The model assumptions and the corresponding variables are proposed, including traffic accessibility, built environment, regional characteristics of the district to which the rail transit station belongs, conditions of the station and spatial location, which affect the passenger flow of rail transit stations. Based on the assumptions and the variables, the entropy weight-grey correlation model for analyzing the passenger flow of urban rail transit stations is presented. By collecting the data of passenger flow of rail transit stations and corresponding influencing factors in Shanghai, the results of the entropy weight-grey correlation model are obtained. It is shown that the influencing factors, such as the distances from the rail transit station to the adjacent third-class hospital and the adjacent large commercial plazas, district committees, parking areas and the transaction price of important plots, and the gross output value of the tertiary industry, have significant impacts on the passenger flow of a subway station. Finally, some suggestions are proposed for the local governments to formulate improved policies for rail transit development. The conclusions can provide a reference for the development of rail transit in other large cities and countries.
June 2022
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21 Reads
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4 Citations
In this paper, we considered the improved element-free Galerkin (IEFG) method for solving 2D anisotropic steady-state heat conduction problems. The improved moving least-squares (IMLS) approximation is used to establish the trial function, and the penalty method is applied to enforce the boundary conditions, thus the final discretized equations of the IEFG method for anisotropic steady-state heat conduction problems can be obtained by combining with the corresponding Galerkin weak form. The influences of node distribution, weight functions, scale parameters and penalty factors on the computational accuracy of the IEFG method are analyzed respectively, and these numerical solutions show that less computational resources are spent when using the IEFG method.
April 2022
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5 Reads
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4 Citations
International Journal of Applied Mechanics
Based on the idea of dimension splitting method, a dimension splitting interpolating element-free Galerkin (DSIEFG) method for 3D wave propagation problems is proposed. In the splitting direction, the 3D domain of a problem is divided into a series of related 2D subdomains. Using the improved interpolating moving least-squares (IMLS) method to acquire the shape function in the 2D subdomains, the discretized equations are formed based on Galerkin weak form of 2D problem. The discretized equations are coupled by using the difference method in the splitting direction. Then, the final equations of the DSIEFG method for 3D wave propagation problems are obtained. Numerical examples are given to study the effects of node distribution, number of split layers, influence domain parameters, splitting direction, and time step on the computational accuracy of the DSIEFG method. The results of numerical examples show that the DSIEFG method is more efficient and accurate compared with the improved EFG method for 3D wave equations.
December 2021
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53 Reads
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10 Citations
Mathematics
The improved element-free Galerkin (IEFG) method is proposed in this paper for solving 3D Helmholtz equations. The improved moving least-squares (IMLS) approximation is used to establish the trial function, and the penalty technique is used to enforce the essential boundary conditions. Thus, the final discretized equations of the IEFG method for 3D Helmholtz equations can be derived by using the corresponding Galerkin weak form. The influences of the node distribution, the weight functions, the scale parameters of the influence domain, and the penalty factors on the computational accuracy of the solutions are analyzed, and the numerical results of three examples show that the proposed method in this paper can not only enhance the computational speed of the element-free Galerkin (EFG) method but also eliminate the phenomenon of the singular matrix.
November 2021
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429 Reads
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12 Citations
Mathematics
In the context of the long-term coexistence between COVID-19 and human society, the implementation of personnel health monitoring in construction sites has become one of the urgent needs of current construction management. The installation of infrared temperature sensors on the helmets required to be worn by construction personnel to track and monitor their body temperature has become a relatively inexpensive and reliable means of epidemic prevention and control, but the accuracy of measuring body temperature has always been a problem. This study developed a smart helmet equipped with an infrared temperature sensor and conducted a simulated construction experiment to collect data of temperature and its influencing factors in indoor and outdoor construction operation environments. Then, a Partial Least Square–Back Propagation Neural Network (PLS-BPNN) temperature error compensation model was established to correct the temperature measurement results of the smart helmet. The temperature compensation effects of different models were also compared, including PLS-BPNN with Least Square Regression (LSR), Partial Least Square Regression (PLSR), and single Back Propagation Neural Network (BPNN) models. The results showed that the PLS-BPNN model had higher accuracy and reliability, and the determination coefficient of the model was 0.99377. After using PLS-BPNN model for compensation, the relative average error of infrared body temperature was reduced by 2.745 °C and RMSE was reduced by 0.9849. The relative error range of infrared body temperature detection was only 0.005~0.143 °C.
May 2021
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49 Reads
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27 Citations
Engineering with Computers
In this paper, based on the improved interpolating moving least-squares (IMLS) method and the dimension splitting method, the interpolating dimension splitting element-free Galerkin (IDSEFG) method for three-dimensional (3D) potential problems is proposed. The key of the IDSEFG method is to split a 3D problem domain into many related two-dimensional (2D) subdomains. The shape function is constructed by the improved IMLS method on the 2D subdomains, and the Galerkin weak form based on the dimension splitting method is used to obtain the discretized equations. The discrete equations on these 2D subdomains are coupled by the finite difference method. Take the improved element-free Galerkin (IEFG) method as a comparison, the advantage of the IDSEFG method is that the essential boundary conditions can be enforced directly. The effects of the number of nodes, the direction of dimension splitting, and the parameters of the influence domain on the calculation accuracy are studied through four numerical examples, the numerical solutions of the IDSEFG method are compared with the numerical solutions of the IEFG method and the analytical solutions. It is verified that the numerical solutions of the IDSEFG method are highly consistent with the analytical solution, and the calculation efficiency of this method is significantly higher than that of the IEFG method.
... This indicates that many of the "labeled outliers" do not have the properties typically associated with the way these state-of-the-art methods define outliers. Additionally, we illustrate the behavior of the "labeled For GLOSH, KNN, and LOF, we report the best results obtained across the commonly used min pts and k values in the literature and practice [5], [32], [33], [34], [35]. outliers" through GLOSH-Profiles to allow us to understand the properties of these data points better. ...
March 2023
Mathematics
... Bridge deterioration modeling marks an integral pillar of maintenance management systems, and its accuracy inevitably signifies the efficaciousness of bridge management [15,16]. Hitherto, artificial intelligence (AI)-driven models established themselves as a powerful mechanism to anticipate future performance conditions of bridge elements. ...
November 2022
Mathematics
... Among the top six weighted indicators, three pertain to accessibility and three to safety, suggesting that metro passengers prioritize these two criteria when walking to stations. This preference is understandable, as passengers value routes with fewer detours, shorter waiting times at intersections, and minimal conflicts with other traffic flows [73,77]. Among the indicators, pedestrian route directness ranks as the top priority, followed by the number of interruptions. ...
September 2022
Mathematics
... They revealed that PdSe possesses a better optical adsorption ability for visible light (VI) than those of Pd 2 Se 4 and Pd 4 Se 6 monolayers [25]. However, transport properties is an important physical quantities [28,29], and the electrical and thermal transport properties of this new type PdSe monolayer is still unknown and needed to be explored. ...
June 2022
... The MLS approximate functions have been improved to accelerate computational speed, including the Improved Moving Least-Squares (IMLS) approximation [6], interpolating MLS approximation [7,8], and complex variable MLS approximation [9,10]. Using these methods to construct shape functions resulted in the presentation of the IEFG method [11][12][13][14], interpolating EFG method [15][16][17][18][19][20], and complex variable EFG method [10,21,22], respectively. ...
December 2021
Mathematics
... Por fim, não foram encontrados na literatura, dispositivos semelhantes que apresentem a integração em tempo real dos dados obtidos de temperatura e umidade para executar avaliações sobre o estresse térmico vivenciado pelo usuário com detecção de queda. Por exemplo, trabalhos como [18] e [19] apresentam capacetes inteligentes com instrumentação semelhante, porém a umidade em ambos os casos é utilizada para propósitos diversos e não para avaliação do estresse térmico. Em contrapartida, os dispositivos encontrados que apresentaram a detecção de queda, por vezes se limitaram somente a detecção de temperatura do usuário, como [16] ou ainda utilizaram medidas diferentes como sensores de batimentos cardíacos [17]. ...
November 2021
Mathematics
... As one of the commonly used Galerkin meshless methods, the element-free Galerkin (EFG) method [17] has also contributed a great deal to solving MHD duct flow problems [18][19][20][21][22]. It should be pointed out that the improved EFG method [23], the complex variable EFG method [24], and the interpolating EFG method [25] have been developed respectively by using the improved MLS approximation, the complex variable MLS approximation and the interpolating MLS method to construct meshless shape functions. ...
May 2021
Engineering with Computers
... Constructing approximate functions is important for meshless methods, and the moving leastsquares method is one of the meshless methods to construct approximate functions. In order to avoid singular and ill-conditioned shape function matrices and reduce the cost of calculation, the original moving least-squares method 35 had been developed, and the improved moving least-squares approximation, 36 complex variable moving least-squares approximation 37 and so on were presented. Due to high precision and simple formulation of the MLS approximation, the element-free Glerkin method based on the MLS approximation and combined with the FSDT has good applicability and broadness. ...
September 2017
International Journal of Applied Mechanics
... As one of the commonly used Galerkin meshless methods, the element-free Galerkin (EFG) method [17] has also contributed a great deal to solving MHD duct flow problems [18][19][20][21][22]. It should be pointed out that the improved EFG method [23], the complex variable EFG method [24], and the interpolating EFG method [25] have been developed respectively by using the improved MLS approximation, the complex variable MLS approximation and the interpolating MLS method to construct meshless shape functions. ...
September 2020
Engineering Structures
... Ren et al. improved the interpolating MLS method [16], thus the corresponding interpolating EFG method was presented [17]. Additionally, some mechanics problems [18][19][20] were analyzed by using this method. Qin et al. developed the interpolating smoothed particle method [21]. ...
November 2016
International Journal of Computational Materials ScieInternational Journal of Computational Materials Science and Engineeringnce and Engineering