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3rd International Conference on Materials Engineering and Science (IConMEAS)

作者： Msabawy, Ali Mohammad, Fouad Nottingham Trent Univ Sch Architecture Design & Built Environm Nottingham NG1 5JS England Minist Interior Engn Works Div Babylon Iraq

The primary aim of this paper is to develop a sizing design optimization framework to address the optimization difficulties associated with semi-rigid Cold-Formed Steel (CFS) portal frames. The paper adopted the mathematical model to embed the influence of semi-rigidity for joints and column bases into the fully automated user-friendly program that was written by the authors to establish a relation between the finite element model, design formulations and optimization model. The paper employed generalized reduced gradient (GRG) algorithm to optimize the cross-sectional areas for CFS Back-to-Back lipped channel sections. These sections used for primary load-carrying elements;in which sections' dimensions treated as continuous variables. The design constraints are set to satisfy design criteria proposed by British Standards and practical constraints from the industry. A systematic approach was followed in the parametric study to investigate the influence of several design parameters on the optimal solutions and performance of proposed buildings. The main parameters considered were the semi-rigidity effect of the apex and eave connections and column bases flexibility. The optimal results reached demonstrate the feasibility and efficiency of applying the proposed framework in solving the sizing optimization problem. GRG algorithm proved its reliability and validity with respect to its ability to achieve the optimal configurations of optimized sections. It showed that the frames modelled their joints as semi-rigid joints have smaller cross-sectional areas compared with the same frames having fully rigid joints. It found that the frames having semi-rigid column bases are lighter compared with their counterparts that modelled their bases as nominally pinned. The written program was effectively able to analyze, design and search the optimal solutions with a promising computational time. (C) 2021 Elsevier Ltd. All rights reserved.

关键词： Sizing design optimization Cold-formed steel Portal frame Semi-rigid joint generalized reduced gradient algorithm Optimization model

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Continuous sizing optimization of cold-formed steel portal frames with semi-rigid joints using generalized reduced gradient algorithm

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Materials Today: Proceedings 2021年 42卷 2290-2300页

作者： Ali Msabawy Fouad Mohammad Nottingham Trent University/School of Architecture Design and the Built Environment Nottingham NG1 5JS United Kingdom Engineering Works Division Ministry of Interior Babylon Iraq

The primary aim of this paper is to develop a sizing design optimization framework to address the optimization difficulties associated with semi-rigid Cold-Formed Steel (CFS) portal frames. The paper adopted the mathematical model to embed the influence of semi-rigidity for joints and column bases into the fully automated user-friendly program that was written by the authors to establish a relation between the finite element model, design formulations and optimization model. The paper employed generalized reduced gradient (GRG) algorithm to optimize the cross-sectional areas for CFS Back-to-Back lipped channel sections. These sections used for primary load-carrying elements; in which sections' dimensions treated as continuous variables. The design constraints are set to satisfy design criteria proposed by British Standards and practical constraints from the industry. A systematic approach was followed in the parametric study to investigate the influence of several design parameters on the optimal solutions and performance of proposed buildings. The main parameters considered were the semi-rigidity effect of the apex and eave connections and column bases flexibility. The optimal results reached demonstrate the feasibility and efficiency of applying the proposed framework in solving the sizing optimization problem. GRG algorithm proved its reliability and validity with respect to its ability to achieve the optimal configurations of optimized sections. It showed that the frames modelled their joints as semi-rigid joints have smaller cross-sectional areas compared with the same frames having fully rigid joints. It found that the frames having semi-rigid column bases are lighter compared with their counterparts that modelled their bases as nominally pinned. The written program was effectively able to analyze, design and search the optimal solutions with a promising computational time.

关键词： Sizing design optimization Cold-formed steel Portal frame Semi-rigid joint generalized reduced gradient algorithm Optimization model

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A New Method to Solve the Kinematic Problems of Parallel Robots Using generalized reduced gradient algorithm

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JOURNAL OF ROBOTICS AND MECHATRONICS 2016年第3期28卷 404-417页

作者： Thanh Trung Trang Li, Wei Guang Thanh Long Pham South China Univ Technol Sch Mech & Automot Engn 381 Wuhan Rd Guangzhou 510641 Guangdong Peoples R China Thai Nguyen Univ Technol Fac Mech Engn 3-2 Tich Luong Rd Thai Nguyen City Thai Nguyen Vietnam

This paper proposes a new method of solving the kinematic problems for parallel robots. The paper content aims to solve nonlinear optimization problems with constraints rather than to directly solve high-order nonlinear systems of equations. The nonlinear optimization problems shall be efficiently solved by applying the generalized reduced gradient algorithm and appropriate downgrade techniques. This new method can be able to find exact kinematic solutions by assigning constraints onto the parameters. The procedure can be done without filtering control results from mathematical solution, from which the control time of manipulators can be reduced. The numerical simulation results in this paper shall prove that the method can be applied to solve kinematic problems for a variety of parallel robots regardless of its structures and degree of freedom (DOF). There are several advantages of the proposed method including its simplicity leading to a shorter computing time as well as achieving high accuracy, high reliability, and quick convergence in final results. Hence, the applicability of this method in solving kinematic problems for parallel manipulators is remarkably high.

关键词： parallel robot kinematic problem equivalent structure optimized problems generalized reduced gradient algorithm

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Proposal of an optimization tool for demand response in island electricity systems (IES) using the Simplex method and generalized reduced gradient (GRG)

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JOURNAL OF KING SAUD UNIVERSITY SCIENCE 2024年第9期36卷

作者： Medina, Juan Carlos Lozano Concepcion, Vicente Henriquez Pino, Carlos A. Mendieta Zerpa, Federico Leon Univ Las Palmas Gran Canaria Las Palmas Gran Canaria Spain

Island electricity generation systems (IES) pose challenges in the integration of renewable energies that are compatible with security of supply. This work proposes a methodology and a proposed decision tool that allows the optimization of the production of different generation systems, both renewable and non-renewable, setting a series of objectives such as the reduction of greenhouse gases (GHG), production costs and at the same time fulfilling the best coverage in dynamic response, security, scalability, and integration. This tool is based on operational research, mathematical optimization methods, specifically the simplex algorithm and the generalized reduced gradient (GRG) and proposes different combinations to achieve an energy production that meets the demand, minimizing fuel consumption and greenhouse gas (GHG) emissions.

关键词： Simplex method generalized reduced gradient algorithm Optimization model Energy policy Renewable energy Island electricity systems (IESs)

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COMPARATIVE ANALYSIS OF MATHEMATICS, STATISTICS AND PHYSICS BASED algorithmS FOR OBTAINING OPTIMUM WEIBULL PROBABILITY DISTRIBUTION PARAMETERS FOR POWER DENSITY ESTIMATION IN WIND ENERGY: LORAS AND FOCA EXAMPLES

ISI BILIMI VE TEKNIGI DERGISI-JOURNAL OF THERMAL SCIENCE AND...

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ISI BILIMI VE TEKNIGI DERGISI-JOURNAL OF THERMAL SCIENCE AND TECHNOLOGY 2024年第1期44卷 47-58页

作者： Kose, Bayram Telkenaroglu, Bekir Can Demirturk, Bahar Izmir Bakircay Univ Muhendisl & Mimarl Fak Elekt Elekt Muhendisligi Izmir Turkiye Izmir Bakircay Univ Lisansustu Egitim Enst Akilli Sistemler Muhendisligi Izmir Turkiye Izmir Bakircay Univ Muhendisl & Mimarl Fak Temel Bilimler Bolumu Izmir Turkiye

In this work, the k and c parameters of the Weibull probability distribution function, which is generally used in the feasibility and efficiency studies of wind energy and preferred in electrical energy production, were estimated by Simulated Annealing algorithm (SA) and generalized reduced gradient algorithm (GRG). AFunction parameters were also estimated by classical numerical methods, Least Squares Method(LMS), AJustus Empirical Moment Method(EMJ) and Lysen Empirical Moment Method(EML). When comparing the results, the coefficient of determination, the root mean square error (RMSE) and the chi-square distribution criteria(x(2)) Awere used. Wind speed frequency distributions were calculated with the estimated shape and scale parameter and compared with the measurement results. Consequently, better results can be seen from GRG algorithm than the classical numerical methods with coefficient of value of 0.0182 RMSE, determination of 0.8473, and the value x(2) of 0.0079 for Loras and with coefficient of value of 0.0066 RMSE, determination of 0.9793, and the value of 0.0011 for

关键词： Renewable Energy Sources Weibull distribution parameters Simulated Annealing algorithm generalized reduced gradient algorithm Classical Numerical Methods Wind Energy Potential

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Multi-objective optimization of an on-road bicycle frame by uniform design and compromise programming

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ADVANCES IN MECHANICAL ENGINEERING 2016年第2期8卷 1-15页

作者： Cheng, Yung-Chang Lee, Cheng-Kang Tsai, Ming-Tsang Natl Kaohsiung First Univ Sci & Technol Dept Mech & Automat Engn Kaohsiung 811 Taiwan Cheng Shiu Univ Dept Ind Engn & Management Kaohsiung Taiwan

With the rapid changes in manufacturing technology of bicycle, the safety and performance of a bicycle are important and remarkable research subjects. In this study, an innovative and integrated optimization procedure for multi-objective optimization of an on-road bicycle frame is presented. The multiple objectives are to reduce the bicycle frame's permanent deformations and to decrease the bicycle frame's mass. First, uniform design of experiments is applied to create a set of sampling points in the design space of control factors. Second, three-dimensional solid models of bicycle frames are constructed and permanent deformations of bicycle frames under dropping-mass and dropping-frame impact test simulations are measured by ANSYS and ANSYS/LS-DYNA. Third, Kriging interpolation is used to transform the discrete relations between input control factors and output measures to continuous surrogate models. Fourth, compromise programming and mixture uniform design of experiments are used to integrate the multiple-objective functions into one compromise objective function. Finally, generalized reduced gradient algorithm is employed to solve the optimization problem. After executing the innovative optimization procedure, an optimized on-road bicycle frame is obtained. Comparing with the original design, the frame's permanent deformations and mass are reduced. Therefore, both consolidation and lightweight of on-road bicycle frame are achieved.

关键词： On-road bicycle frame uniform design Kriging interpolation mixture uniform design compromise programming generalized reduced gradient algorithm

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A simplified implementation of the least squares solution for pairwise comparisons matrices

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CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH 2011年第4期19卷 439-444页

作者： Anholcer, Marcin Babiy, Volodymyr Bozoki, Sandor Koczkodaj, Waldemar W. Laurentian Univ Dept Comp Sci Sudbury ON P3E 2C6 Canada Poznan Univ Econ Dept Operat Res PL-61875 Poznan Poland McMaster Univ Dept Comp Sci Hamilton ON L8S 4L8 Canada Hungarian Acad Sci Lab Engn & Management Intelligence Res Grp Operat Res & Decis Syst Comp & Automat Res Inst H-1518 Budapest Hungary

This is a follow up to "Solution of the least squares method problem of pairwise comparisons matrix" by Bozki published by this journal in 2008. Familiarity with this paper is essential and assumed. For lower inconsistency and decreased accuracy, our proposed solutions run in seconds instead of days. As such, they may be useful for researchers willing to use the least squares method instead of the geometric means method.

关键词： Pairwise comparison matrix Least squares method Inconsistency analysis generalized reduced gradient algorithm Optimization

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COMPARISON OF A SPECIAL-PURPOSE algorithm WITH GENERAL-PURPOSE algorithmS FOR SOLVING GEOMETRIC-PROGRAMMING PROBLEMS

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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 1984年第2期43卷 237-263页

作者： ECKER, JG KUPFERSCHMID, M SACHER, RS RENSSELAER POLYTECH INST OPERAT RES & STAT PROGRAMTROYNY 12181 VOORHEES COMP CTR TROYNY

We study the performance of four general-purpose nonlinear programming algorithms and one special-purpose geometric programming algorithm when used to solve geometric programming problems. Experiments are reported which show that the special-purpose algorithm GGP often finds approximate solutions more quickly than the general-purpose algorithm GRG2, but is usually not significantly more efficient than GRG2 when greater accuracy is required. However, for some of the most difficult test problems attempted, GGP was dramatically superior to all of the other algorithms. The other algorithms are usually not as efficient as GGP or GRG2. The ellipsoid algorithm is most robust.

关键词： Geometric programming computational comparisons nonlinear programming ellipsoid algorithm generalized reduced gradient algorithm

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