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Calculation of Mass Concrete Temperature Containing Cooling Water Pipe Based on Substructure and iteration algorithm

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Computer Modeling in Engineering & Sciences 2024年第1期138卷 813-826页

作者： Heng Zhang Chao Su Zhizhong Song Zhenzhong Shen Huiguang Lei Changjiang Institute of Survey PlanningDesign and ResearchWuhan430010China College ofWater Conservancy and Hydropower Engineering Hohai UniversityNanjing210098China Chief Engineer Office Wujiang Company of Goupitan Power Construction CooperationYuqing564408China

Mathematical physics equations are often utilized to describe physical phenomena in various fields of science and *** such equation is the Fourier equation,which is a commonly used and effective method for evaluating the effectiveness of temperature control measures for mass *** important measure for temperature control in mass concrete is the use of cooling water ***,the mismatch of grids between large-scale concrete models and small-scale cooling pipe models can result in a significant waste of calculation time when using the finite element ***,the temperature of the water in the cooling pipe needs to be iteratively calculated during the thermal transfer *** substructure method can effectively solve this problem,and it has been validated by *** Abaqus/Python secondary development technology provides engineers with enough flexibility to combine the substructure method with an iteration algorithm,which enables the creation of a parametric modeling calculation for cooling water *** paper proposes such a method,which involves iterating the water pipe boundary and establishing the water pipe unit substructure to numerically simulate the concrete temperature field that contains a cooling water *** verify the feasibility and accuracy of the proposed method,two classic numerical examples were *** results showed that this method has good applicability in cooling pipe *** the value of the iteration parameterαis 0.4,the boundary temperature of the cooling water pipes can meet the accuracy requirements after 4∼5 iterations,effectively improving the computational ***,this approach provides a useful tool for engineers to analyze the temperature control measures accurately and efficiently for mass concrete,such as cooling water pipes,using Abaqus/Python secondary development.

关键词： Fourier equation cooling water pipe mass concrete iteration algorithm

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A Reliable iteration algorithm for One-Bit Compressive Sensing on the Unit Sphere

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Acta Mathematicae Applicatae Sinica 2024年第3期40卷 801-822页

作者： Yan-cheng LU Ning BI An-hua WAN School of Mathematics Sun Yat-sen UniversityGuangzhou 510275China

The one-bit compressed sensing problem is of fundamental importance in many areas,such as wireless communication,statistics,and so ***,the optimization of one-bit problem coustrained on the unit sphere lacks an algorithm with rigorous mathematical proof of convergence and *** this paper,an iteration algorithm is established based on difference-of-convex algorithm for the one-bit compressed sensing problem constrained on the unit sphere,with iterating formula■,where C is the convex cone generated by the one-bit measurements andη_(1)>η_(2)>1/*** new algorithm is proved to converge as long as the initial point is on the unit sphere and accords with the measurements,and the convergence to the global minimum point of the l_(1)norm is discussed.

关键词： one-bit compressed sensing difference of convex algorithm iteration algorithm ■1-minimization

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A phase error compensation method for three-dimensional shape measurement using improved iteration algorithm

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JOURNAL OF MODERN OPTICS 2023年第8期70卷 457-469页

作者： Meng, Xin Wang, Shifeng Zhang, Peng Qian, Feng Ma, Jun Meng, Jin Du, Kaiyue Lu, Bo Song, Shigeng Changchun Univ Sci & Technol Sch Optoelect Engn Changchun 130022 Peoples R China Changchun Univ Sci & Technol Zhongshan Inst Zhongshan Peoples R China Univ West Scotland Sch Comp Engn & Phys Sci Glasgow Renfrow Scotland

The binary defocusing has been extensively studied in the three-dimensional measurement. But if the projector is slightly defocused, the binary fringes after defocusing still contain high-order harmonics compared with the ideal sinusoidal fringes, so the phase error caused by the nonlinear response is not negligible. In this paper, two models are proposed to calculate and compensate phase error, which include a double-precision iterative compensation model (DPICM) and a dual-domain iterative compensation model (DDICM). These two models obtain accurate phase errors by fusing the phases at different precision and domains. DPICM is composed of the double precision method and the improved iterative algorithm, and DDICM consists of the dual-domain method and the improved iterative algorithm. This improved iterative algorithm is used to compensate phase error, which can improve phase accuracy. DPICM and DDICM reduce the RMS error by 25.5% and 13.5% respectively.

关键词： Three-dimensional shape measurement phase error compensation iteration algorithm phase shifting profilometry

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WEIGHTED iteration algorithm FOR SOLVING BI-OBJECTIVE LINEAR PROGRAMMING PROBLEM

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INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL 2024年第3期20卷 755-770页

作者： Wang, Shuoqi Wang, Zhanzhong Jilin Univ Transportat Coll 5988 Renmin Rd Changchun 130025 Peoples R China

Based on the multi-objective linear weighted method and the characteristic that the sum of the weighted coefficients of the bi-objective function is 1, a weighted iteration algorithm for solving bi-objective linear optimization has been proposed. The basic principle of the algorithm is that when the weighted coefficients increase gradually from a very small value to 1, an efficient solution can be obtained. The iteration algorithm needs convergence conditions. This paper proves the relationship between the iterative convergence conditions and the optimal solution of the objective function, and multiple efficient solutions can be obtained by iteration. According to the actual demand of the project, a method of determining the most efficient solution is given. The main advantage of the algorithm is that the implementation process of the weighted iteration algorithm only needs the optimal solution of a single objective function, and there is no complex process or algorithm for solving weighted coefficients. The algorithm is simple and effective, and overcomes the shortcomings of the existing algorithms that have the complex parameter setting and solving process. The examples and application show that the weighted iteration algorithm is scientific and correct, and it is easy to be used and programmed and can play an important role in practical engineering application.

关键词： Linear programming iteration algorithm Bi-objective linear programming Multi-objective linear programming Mathematical programming

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The new iteration algorithm for absolute value equation

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APPLIED MATHEMATICS LETTERS 2020年 99卷 105990-000页

作者： Ke, Yifen Fujian Normal Univ Coll Math & Informat Fuzhou 350117 Fujian Peoples R China Fujian Normal Univ FJKLMAA Fuzhou 350117 Fujian Peoples R China

In this paper, a new iteration algorithm is proposed for the absolute value equation. The convergence of the proposed algorithm is studied under suitable assumptions. Moreover, some numerical experiments are given to ... 详细信息

关键词： Absolute value equation iteration algorithm Convergence analysis

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A phase error compensation method for three-dimensional shape measurement using improved iteration algorithm

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Optica Acta: International Journal of Optics 2023年第8期70卷

作者： Xin Meng Shifeng Wang Peng Zhang Feng Qian Jun Ma Jin Meng Kaiyue Du Bo Lu Shigeng Song a School of Optoelectronic Engineering Changchun University of Science and Technology Changchun People’s Republic of China a School of Optoelectronic Engineering Changchun University of Science and Technology Changchun People’s Republic of Chinab Zhongshan Institute of Changchun University of Science and Technology Zhongshan People’s Republic of China b Zhongshan Institute of Changchun University of Science and Technology Zhongshan People’s Republic of China c School of Computing Engineering and Physical Sciences University of the West of Scotland Renfrewshire UK

关键词： Three-dimensional shape measurement phase error compensation iteration algorithm phase shifting profilometry

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An iteration-based algorithm for two-pass flute grinding of slide round milling tools

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INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY 2020年第9-10期111卷 2533-2543页

作者： Chen, Zhan Liu, Xianli He, Genghuang Yue, Caixu Wang, Lihui Liang, Steven Y. Harbin Univ Sci & Technol Sch Mech & Power Engn Harbin 150080 Peoples R China Xiamen Golden Egret Special Alloy Co Ltd Xiamen 361006 Peoples R China KTH Royal Inst Technol Dept Prod Engn S-10044 Stockholm Sweden Georgia Inst Technol Precis Machining Res Consortium Atlanta GA 30318 USA

Solid end mill cutting tools are widely used in machining of curved surface parts in many industrial sectors, e.g., aerospace, automotive, and energy. Grinding is one of the most important processes in the manufacturing of the tools, and the movement of the grinding wheel closely influences the key parameters of helical groove cross-section, i.e., rake angle gamma(o), inner core radius R-c, outer core radius R-cb, and edge width E-w, as well as chip removal capacity. However, a "closed" flute of a tool, which is one style of flute, may cause many problems if grinding it by one-pass, e.g., grinding wheel dressing to adapt to the change of flute parameters. To solve the problem in "closed" flute grinding, this paper proposes a two-pass flute grinding based on the iteration method. Within the context, some parameters and rules are identified in modeling of the two-pass grinding to control grinding wheel width and to smoothen grinding marks between the two passes of grinding. Finally, the method is implemented and validated by a set of numeric simulations and experiments. The results show that the errors of core radius, rake angle, edge width, and big core radius of the two ground tools are 1.1%, 2.0%, 3.4%, and 2.2%, respectively, which are within the designed tolerances.

关键词： Closed flute iteration algorithm Two-pass grinding Grinding mark

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Estimation of tire-road friction coefficient based on combined APF-IEKF and iteration algorithm

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MECHANICAL SYSTEMS AND SIGNAL PROCESSING 2017年 88卷 25-35页

作者： Liu, Y. -H. Li, T. Yang, Y. -Y. Ji, X. -W. Wu, J. Tsinghua Univ State Key Lab Automot Safety & Energy Beijing 100084 Peoples R China China Univ Geosci Sch Engn & Technol Beijing 100083 Peoples R China

Tire-road friction coefficient is an important parameter for vehicle stability and active safety systems. However, precise measurement of tire-road friction coefficient is hard to achieve without expensive equipment. Considering easy availability and good economy, this paper proposes a method which first combines auxiliary particle filter and the iterated extended kalman filter (APF-IEKF), and then processes the results of the first step using iteration algorithm. APF-IEKF is used to estimate the slip angle of the front tires with strong nonlinearity and non-Gaussian noise, in which APF filters non-Gaussian noise and reach a preliminary estimation of sideslip angle, then IEKF is used to optimize the result, making the estimation of the sideslip angle more accurate. The iteration algorithm is used to estimate the tire-road friction coefficient based on self-aligning torque, which is more sensitive to tire slip angle and provides faster estimation. In this way, this method can estimate tire road friction coefficient more accurately and in real time. Both numerical simulation in Carsim/Simulink and actual off-vehicle tests in winter are provided to demonstrate the efficiency of the proposed algorithm. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： Tire-road friction coefficient Self-aligning torque APF-IEKF iteration algorithm

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Exploring the velocity distribution of debris flows: An iteration algorithm based approach for complex cross-sections

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GEOMORPHOLOGY 2015年 241卷 72-82页

作者： Han, Zheng Chen, Guangqi Li, Yange Wang, Wei Zhang, Hong Kyushu Univ Dept Civil & Struct Engn Nishi Ku Fukuoka 8190395 Japan Cent South Univ Sch Civil Engn Changsha 410075 Hunan Peoples R China Chengdu Univ Technol State Key Lab Geohazard Prevent & Geoenvironm Pro Chengdu 610000 Peoples R China

The estimation of debris-flow velocity in a cross-section is of primary importance due to its correlation to impact force, run up and superelevation. However, previous methods sometimes neglect the observed asymmetric velocity distribution, and consequently underestimate the debris-flow velocity. This paper presents a new approach for exploring the debris-flow velocity distribution in a cross-section. The presented approach uses an iteration algorithm based on the Riemann integral method to search an approximate solution to the unknown flow surface. The established laws for vertical velocity profile are compared and subsequently integrated to analyze the velocity distribution in the cross-section. The major benefit of the presented approach is that natural channels typically with irregular beds and superelevations can be taken into account, and the resulting approximation by the approach well replicates the direct integral solution. The approach is programmed in MATLAB environment, and the code is open to the public. A well-documented debris-flow event in Sichuan Province, China, is used to demonstrate the presented approach. Results show that the solutions of the flow surface and the mean velocity well reproduce the investigated results. Discussion regarding the model sensitivity and the source of errors concludes the paper. (C) 2015 Elsevier B.V. All rights reserved.

关键词： Debris flow Velocity distribution Integral solution iteration algorithm

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Balanced graph partitioning based on mixed 0-1 linear programming and iteration vertex relocation algorithm

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JOURNAL OF COMBINATORIAL OPTIMIZATION 2023年第5期45卷 121-121页

作者： Yang, Zhengxi Jiang, Zhipeng Yang, Wenguo Gao, Suixiang Univ Chinese Acad Sci Sch Math Sci Beijing 100049 Peoples R China

Graph partitioning is a classical NP problem. The goal of graphing partition is to have as few cut edges in the graph as possible. Meanwhile, the capacity limit of the shard should be satisfied. In this paper, a model for graph partitioning is proposed. Then the model is converted into a mixed 0-1 linear programming by introducing variables. In order to solve this model, we select some variables to design the vertex relocation model. This work designs a variable selection strategy according to the effect of vertex relocation on the number of local edges. For purpose of implementing graph partitioning on large scale graph, we design an iterative algorithm to solve the model by selecting some variables in each iteration. The algorithm relocates the shard of the vertex according to the solution of the model. In the experiment, the method in this paper is simulated and compared with BLP and its related methods in the different shard sizes on the five social network datasets. The simulation results show that the method of this paper works well. In addition, we compare the effects of different parameter values and variables selection strategies on the partitioning effect.

关键词： Graph partitioning 0-1 mixed linear programming iteration algorithm

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