• Title/Summary/Keyword: Equilibrium problem

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Design of Steel Structures Using the Neural Networks with Improved Learning (개선된 인공신경망의 학습방법에 의한 강구조물의 설계)

  • Choi, Byoung Han;Lim, Jung Hwan
    • Journal of Korean Society of Steel Construction
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    • v.17 no.6 s.79
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    • pp.661-672
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    • 2005
  • For the efficient stochastic optimization of steel structures for which a large number of analyses is required, artificial neural networks,which have emerged as a powerful tool that could have been used to replace time-consuming procedures in many scientific or engineering applications, are applied. They are utilized for the solution of the equilibrium equations resulting from the application of the finite element method in connection with the reanalysis type of problem, for which a large number of finite element analyses are required in this study. As such, the use of artificial neural networks to predict finite element analysis outputs simplifies and facilitates the performance of the stochastic optimal design of structural systems where a trained neural network is used to replace the structural reanalysis phase. Moreover, to improve efficiency of used artificial neural networks, genetic algorithm is utilized. The stochastic optimizer used in this study is an algorithm based on the evolution theory. The efficiency of the proposed procedure is examined in problems with both volume (weight) functions and real-world cost functions

Overcoming the Braess' Paradox in Feasibility Study (경제성 분석의 브레이스 파라독스 극복 방안)

  • Park, Kyung-Chul;Ryu, Si-Kyun;Lee, Sung-Mo;Son, Sang-Hoon
    • Journal of Korean Society of Transportation
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    • v.26 no.1
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    • pp.103-112
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    • 2008
  • In the feasibility analysis, Braess' Paradox results in the negative social benefit in spite of adding transportation facilities. Consequently, it has been difficult to judge on the investment of SOC projects. This research aims to analyze the Braess' Paradox in the feasibility analysis and to seek a remedy for the Paradox. Several experiments were conducted on the simple network under the various conditions. From the experiments, following findings were validated: Braess' Paradox occurred only if travel demands met within certain intermediate range. In terms of traffic assignment method, the SO was more likely to reduce the effect of the Braess' Paradox than the UE. However, the Braess' Paradox in the benefit of operating cost saving occurred in all cases and the paradox in the total benefit continued. In order to solve the problem, new link cost function considered travel time and operating cost simultaneously were suggested. As a result, the negative benefit was significantly decreased in the UE case and total negative benefit was no longer shown in the SO case through the analysis.

Nonlinear Analysis of Improved Degenerated Shell Finite Element (개선된 Degenerated 쉘 유한요소의 비선형 해석)

  • 최창근;유승운
    • Computational Structural Engineering
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    • v.3 no.3
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    • pp.113-123
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    • 1990
  • The paper is concerned with the elasto-plastic and geometrically nonlinear analysis of shell structures using an improved degenerated shell element. In the formulation of the element stiffness, the combined use of three different techniques was made. They are; 1) an enhanced interpolation of transverse shear strains in the natural coordinate system to overcome the shear locking problem ; 2) the reduced integration technique in in-plane strains to avoid the membrane locking behavior ; and 3) selective addition of the nonconforming displacement modes to improve the element performances. This element is free of serious shear/membrane locking problems and undesirable compatible/commutable spurious kinematic deformation modes. In the formulation for plastic deformation, the concept of a layered element model is used and the material is assumed von Mises yield criterion. An incremental total Lagrangian formulation is presented which allows the calculation of arbitrarily large displacements and rotations. The resulting non-linear equilibrium equations are solved by the Netwon-Raphson method combined with load or displacement increment. The versatility and accuracy of this improved degenerated shell element are demonstrated by solving several numerical examples.

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ALLOCATION AND PRICING IN PUBLIC TRANSPORTATION AND THE FREE RIDER THEOREM

  • Beckmann, Martin J.
    • Journal of the Korean Operations Research and Management Science Society
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    • v.3 no.1
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    • pp.31-46
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    • 1978
  • Consider a time interval during which the demand for trips is fixed (e.g. the rush hour period). The traveller has a choice between various public modes, whose travel times and fares are fixed, and the automobile mode, for which travel time and cost depend on the volume of traffic flow on those roads, which are subject to congestion. We consider the equilibrium in terms of a representative travellerm, who choses for any trip the mode and route with the least combined money and time cost. When several (parallel) model or routes are chosen, then the combined cost of money and time must be equal among these. Our problem is first, to find the optimal flows of cars and of public mode carriers on the various links of their networks and second the optimal fares for trips by the variousmodes. The object is to minimize the total operating costs of the carriers and car plus the total time costs to travellers. The optimal fares are related to, but not identical with the dual variables of the underlying Nonlinear Program. They are equal to these dual variables only in the case, when congestion tolls on trips or on the use of specific roads are collected from automobile users. When such tolls are not collected, they must be passed on as subsidies to travellers using competing modes. The optimal fares of public modes are then reduced by the amounts of these subsidies. Note that subsidies are not a flat payment to public carriers, but are calculated on the basis of tickets sold. Fares and subsidies depend in general on tile period considered. They will be higher during periods of higher demand. When the assumption of fixed trip demand is relaxed, this tare system is no longer best, but only second best since too much traffic will, in general, be generated. The Free Rider Theorem states the following : Suppose road tolls can be charged, so that a best pricing system for public modes is posssible. Then there may exist free rides on some routes and modes, but never on a complete round trip.

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Static Aeroelastic Optimization of a Composite Wing Using Genetic Algorithm (유전자 알고리즘을 이용한 복합재료 날개의 정적 공탄성 최적화)

  • Kim, Dong-Hyun;Lee, In
    • Composites Research
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    • v.13 no.2
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    • pp.61-71
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    • 2000
  • Today, the use of composite materials become an essential part in the design and manufacturing process of the flight vehicles to reduce the structural weight. Since the structural properties can be varied largely due to the stacking sequence of ply angles, it is very important problem to determine the optimized ply angles under a design objective. Thus, in this study, the analysis of static aeroelastic optimization of a composite wing has been performed. An analytical system to calculate and optimize tile aero-structural equilibrium position has been developed and incorporated with the genetic algorithm. The effects of stacking sequence on the structural deformation and aerodynamic distribution have been studied and calculated with the condition of minimum structural deformation for a swept-back composite wing. For the set of practical stacking angles, the design results to maximize the performance of static aeroelasticity are also presented.

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Numerical Simulation of Surface Tension-Dominant Multiphase Flows by Using Volume-Capturing Method and Unstructured Grid System (비정렬격자계와 체적포착법을 사용한 표면장력이 지배적인 다상유동 수치해석)

  • Myong, Hyon-Kook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.7
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    • pp.723-733
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    • 2011
  • A numerical method of the CSF(Continuum Surface Force) model is presented for the calculation of the surface tension force and implemented in an in-house solution code(PowerCFD). The present method(code) employs an unstructured cell-centered method based on a conservative pressure-based finite-volume method with volume capturing method(CICSAM) in a volume of fluid(VOF) scheme for phase interface capturing. The application of the present method to a 2-D liquid drop problem is illustrated by an equilibrium and nonequilibrium oscillating drop calculation. It is found that the present method simulates efficiently and accurately surface tension-dominant multiphase flows.

Performance Analysis for Malicious Interference Avoidance of Backscatter Communications Based on Game Theory (게임이론 기반 백스케터 통신의 악의적인 간섭 회피를 위한 성능 분석)

  • Hong, Seung Gwan;Hwang, Yu Min;Sun, Young Khyu;Shin, Yoan;Kim, Dong In;Kim, Jin Young
    • Journal of Satellite, Information and Communications
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    • v.12 no.4
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    • pp.100-105
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    • 2017
  • In this paper, we study an interference avoidance scenario in the presence of a interferer which can rapidly observe the transmit power of backscatter communications and effectively interrupt backscatter signals. We consider a power control with a sub-channel allocation to avoid interference attacks and a power-splitting ratio for backscattering and RF energy harvesting in sensors. We formulate the problem based on a Stackelberg game theory and compute the optimal transmit power, power-splitting ratio, and sub-channel allocation parameter to maximize a utility function against the interferer. We propose the utility maximization using Lagrangian dual decomposition for the backscatter communications and the interferer to prove the existence of the Stackelberg equilibrium. Numerical results show that the proposed algorithms effectively maximize the utility, compared to that of the algorithm based on the Nash game, so as to overcome a malicious interference in backscatter communications.

Self-Consciousness about Ageing and Accident Prevention of Aged Workers (중고령 근로자의 자각적 노화 인식과 산재예방 방안)

  • Lim, Hyeon-Kyo;Kim, Heon;Song, Jae-Chul;Chang, Seong-Rok
    • Journal of the Korean Society of Safety
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    • v.24 no.5
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    • pp.84-91
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    • 2009
  • It is well known that Korea has got in an aged-society, and the speed of ageing is remarkably fast that has never seen before in the world. In spite of that, government officers and managers who are in charge of industrial safety seldom have interest in ageing workers, and much less ageing workers for themselves in the industrial fields. In the meanwhile the number of injured aged workers keeps going on and even increasing. Therefore this research was carried out to investigate the characteristics of aged workers on one hand, and to grasp the self-consciousness level of industrial workers on the problem of ageing. Furthermore, to develop countermeasures, opinions and hopes of middle managers in small- and medium-sized enterprises who were in charge of industrial safety and health were collected also. Though the reply rate was not so high as expected, opinions of safety and health managers were somewhat appropriate. They replied that the most urgent counterplan for ageing would be improvements of work environments followed by work assignments based upon personal aptitude. On the other hand, the self-consciousness level of aged workers was lower than middle managers, and they mainly complained of surgical disorders such as musculoskeltal disorders including lower back pains. However, they did not seem to recognize they are getting lose their physical function in maintaining body equilibrium.

A Study on the Correction of the Warping Functions of Composite Thin-Walled Beams with a Chord wise Asymmetric Closed Cross-Section (시위 방향으로 비대칭 폐단면을 가지는 복합재료 얇은 벽 보의 와핑 함수 보정에 관한 연구)

  • Kim, Keun-Taek
    • Journal of Aerospace System Engineering
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    • v.12 no.4
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    • pp.9-17
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    • 2018
  • With an aim of considering the warping restraint effect, the results of the comparative study for several cases on the correction of the warping functions for the theoretical analysis of composite thin-walled beams with chord wise asymmetric closed cross-sections are presented in this study. To solve this problem, it is necessary to correct the warping function so as to satisfy the warping equilibrium condition like 1) without moving the position of the pole, 2) with only modifying the shape function using the existing pole, and 3) with moving the position of the pole. The cross-sectional characteristics of the cases were compared with each other. Finally, the cases were compared in order to correct the warping functions. The case 2) was observed to be more speedy and simple in computation compared to others.

Analysis of the Linear Transformation of Prestressing Tendon Using Equivalent toad Method (등가하중법 관점에서 분석한 프리스트레싱 텐던의 직선이동)

  • 오병환;전세진
    • Journal of the Korea Concrete Institute
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    • v.14 no.6
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    • pp.843-850
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    • 2002
  • Linear transformation theory has been effectively used in the design and analysis of prestressed concrete structures. The underlying assumptions of the theory, which were often overlooked, are investigated in the respect of equivalent load method. As a result, it is found that the same equivalent loading system is produced for all the cases of the linear transformation by the assumptions of the conventional equivalent load method. On the other hand, equivalent loading systems in a strict and accurate sense do not satisfy the classical theories of the linear transformation. Also, it is shown that a little different equivalent loading system from the conventional one is obtained for each linear transformation according to the proposed equivalent load method that is derived from the self-equilibrium property of the tendon-induced forces. Therefore, it can be concluded that the linear transformation theory is valid only when referring to the conventional approximate equivalent load method. The discussions are further extended to the eccentrically located circumferential tendon in the wall of containment structures, where the problem of eccentricity is analyzed also from the view point of the linear transformation.