• Title/Summary/Keyword: Move Limits

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BOUNDED MOVEMENT OF GROUP ACTIONS

  • Kim, Pan-Soo
    • Communications of Mathematical Education
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    • v.5
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    • pp.523-523
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    • 1997
  • Suppose that G is a group of permutations of a set ${\Omega}$. For a finite subset ${\gamma}$of${\Omega}$, the movement of ${\gamma}$ under the action of G is defined as move(${\gamma}$):=$max\limits_{g{\epsilon}G}|{\Gamma}^{g}{\backslash}{\Gamma}|$, and ${\gamma}$ will be said to have restricted movement if move(${\gamma}$)<|${\gamma}$|. Moreover if, for an infinite subset ${\gamma}$of${\Omega}$, the sets|{\Gamma}^{g}{\backslash}{\Gamma}| are finite and bounded as g runs over all elements of G, then we may define move(${\gamma}$)in the same way as for finite subsets. If move(${\gamma}$)${\leq}$m for all ${\gamma}$${\subseteq}$${\Omega}$, then G is said to have bounded movement and the movement of G move(G) is defined as the maximum of move(${\gamma}$) over all subsets ${\gamma}$ of ${\Omega}$. Having bounded movement is a very strong restriction on a group, but it is natural to ask just which permutation groups have bounded movement m. If move(G)=m then clearly we may assume that G has no fixed points is${\Omega}$, and with this assumption it was shown in [4, Theorem 1]that the number t of G=orbits is at most 2m-1, each G-orbit has length at most 3m, and moreover|${\Omega}$|${\leq}$3m+t-1${\leq}$5m-2. Moreover it has recently been shown by P. S. Kim, J. R. Cho and C. E. Praeger in [1] that essentially the only examples with as many as 2m-1 orbits are elementary abelian 2-groups, and by A. Gardiner, A. Mann and C. E. Praeger in [2,3]that essentially the only transitive examples in a set of maximal size, namely 3m, are groups of exponent 3. (The only exceptions to these general statements occur for small values of m and are known explicitly.) Motivated by these results, we would decide what role if any is played by primes other that 2 and 3 for describing the structure of groups of bounded movement.

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A Study on Activation of Sports Activities for the Disabled in Public Sports Centers (공공스포츠시설의 장애인스포츠 활성화를 위한 건축계획연구)

  • Seong, Kichang
    • Journal of The Korea Institute of Healthcare Architecture
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    • v.18 no.4
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    • pp.89-97
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    • 2012
  • Demands for sports activities for the disabled are continuously increasing. Although sports centers where the disabled available are compartmentalized into the disabled sports centers and the public sports facilities, in fact, sports activities for the disabled in the public facilities had limits. Therefore, this study draw current states, features and issue related spaces and programs of the public sports centers in order to seek ways to activate sports activities for the disabled. The results of the study as follows. Firstly, setting up the legal regulation about the disabled sports centers. Secondly, improvement the facilities considered the disabled's characteristic. Thirdly, installation of a shower stall and a locker room for various users. Fourthly, positive application of the outdoor space connected with a swimming pool. Fifthly, laying detailed regulation of sports centers for the disabled. In conclusion, the study on architectural model which related with spaces and programs of the sports center for all people is needed to move forward.

Optimal Design of Frame Structure Considering Buckling Load (좌굴하중을 고려한 프레임 그조물의 최적 설계)

  • 진경욱
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.9 no.2
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    • pp.59-65
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    • 2000
  • In this paper the comparison of the first order approximation schemes such as SLP(sequential linear programming) CONLIN(convex linearization) MMA(method of moving asymptotes) and the second order approximation scheme SQP(sequential quadratic programming) was accomplished for optimization of nonlinear structures. It was found that MMA and SQP are the most efficient methods for optimization. But the number of function call of SQP is much more than that of MMA. Therefore when it is considered with the expense of computation MMA is more efficient than SQP. In order to examine the efficiency of MMA for complex optimization problem it was applied to the helicopter tail boom con-sidering column buckling and local wall buckling constraints. it is concluded that MMA can be a very efficient approxima-tion scheme from simple problems to complex problems.

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Optimal Trajectory Control for Robort Manipulators using Evolution Strategy and Fuzzy Logic

  • 박진현;김현식;최영규
    • ICROS
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    • v.1 no.1
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    • pp.16-16
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    • 1995
  • Like the usual systems, the industrial robot manipulator has some constraints for motion. Usually we hope that the manipulators move fast to accomplish the given task. The problem can be formulated as the time-optimal control problem under the constraints such as the limits of velocity, acceleration and jerk. But it is very difficult to obtain the exact solution of the time-optimal control problem. This paper solves this problem in two steps. In the first step, we find the minimum time trajectories by optimizing cubic polynomial joint trajectories under the physical constraints using the modified evolution strategy. In the second step, the controller is optimized for robot manipulator to track precisely the optimized trajectory found in the previous step. Experimental results for SCARA type manipulator show that the proposed method is very useful.

Optimal Trajectory Control for RobortManipulators using Evolution Strategy and Fuzzy Logic

  • Park, Jin-Hyun;Kim, Hyun-Sik;Park, Young-Kiu
    • Transactions on Control, Automation and Systems Engineering
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    • v.1 no.1
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    • pp.16-20
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    • 1999
  • Like the usual systems, the industrial robot manipulator has some constraints for motion. Usually we hope that the manipulators move fast to accomplish the given task. The problem can be formulated as the time-optimal control problem under the constraints such as the limits of velocity, acceleration and jerk. But it is very difficult to obtain the exact solution of the time-optimal control problem. This paper solves this problem in two steps. In the first step, we find the minimum time trajectories by optimizing cubic polynomial joint trajectories under the physical constraints using the modified evolution strategy. In the second step, the controller is optimized for robot manipulator to track precisely the optimized trajectory found in the previous step. Experimental results for SCARA type manipulator show that the proposed method is very useful.

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A Kinematic Control Method of Redundant Manipulator for the Avoidance of Joint Position and Velocity Limits (여유자유도를 갖는 로보트의 관절변수의 위치 및 속도 제한범위 회피를 위한 기구학적 제어방법)

  • 한석균;서일홍;임준홍
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.6
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    • pp.598-605
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    • 1988
  • A kinematic control method for the redundant robot manipulator is proposed, where redundancy is utilized to avoid the limit of joint positions and velocities. For the given tadk, the joint positions are obtained in such a way that each joint is placed as close to its center point as possible by considering the velocity limit. The robot is, therefore, controlled so that the joints move with the acceptable velocities and lie within the reachable ranges. To show the validities of the proposed method, two examples are illustrated by computer simulations for the RHINO-XR robot with sliding base.

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Optimal Design of Helicopter Tailer Boom (헬리곱터 꼬리 날개의 최적 설계)

  • 한석영
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.10a
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    • pp.419-424
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    • 1999
  • In this paper, the comparison of the first order approximation schemes such as SLP (sequential linear programming), CONLIN(convex linearization), MMA(method of moving asymptotes) and the second order approximation scheme, SQP(sequential quadratic programming) was accomplished for optimization of and nonlinear structures. It was found that MMA and SQP(sequential quadratic programming) was accomplished for optimization of and nonlinear structures. It was found that MMA and SQP are the most efficient methods for optimization. But the number of function call of SQP is much more than that of MMA. Therefore, when it is considered with the expense of computation, MMA is more efficient than SQP. In order to examine the efficiency of MMA for complex optimization problem, it was applied to the helicopter tail boom considering column buckling and local wall buckling constraints. It is concluded that MMA can be a very efficient approximation scheme from simple problems to complex problems.

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Application of Method of Moving Asymptotes for Non-Linear Structures (비선형 구조물에 대한 이동 점근법(MMA)의 적용)

  • 진경욱;한석영;최동훈
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.05a
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    • pp.141-146
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    • 1999
  • A new method, so called MMA(Method of Moving Asymptotes) was applied to the optimization problems of non-linear functions and non-linear structures. In each step of the iterative process, tile MMA generates a strictly convex approximation subproblems and solves them by using the dual problems. The generation of these subproblems is controlled by so called 'moving asymptotes', which may both make no oscillation and speed up tile convergence rate of optimization process. By contrast in generalized dual function, the generated function by MMA is always explicit type. Both the objective and behaviour constraints which were approximated are optimized by dual function. As the results of some examples, it was found that this method is very effective to obtain the global solution for problems with many local solutions. Also it was found that MMA is a very effective approximate method using the original function and its 1st derivatives.

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FRAPCON analysis of cladding performance during dry storage operations

  • Richmond, David J.;Geelhood, Kenneth J.
    • Nuclear Engineering and Technology
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    • v.50 no.2
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    • pp.306-312
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    • 2018
  • There is an increasing need in the United States and around the world to move used nuclear fuel from wet storage in fuel pools to dry storage in casks stored at independent spent fuel storage installations or interim storage sites. Under normal conditions, the Nuclear Regulatory Commission limits cladding temperature to $400^{\circ}C$ for high-burnup (>45 GWd/mtU) fuel, with higher temperatures allowed for low-burnup fuel. An analysis was conducted with FRAPCON-4.0 on three modern fuel designs with three representative used nuclear fuel storage temperature profiles that peaked at $400^{\circ}C$. Results were representative of the majority of US light water reactor fuel. They conservatively showed that hoop stress remains below 90 MPa at the licensing temperature limit. Results also show that the limiting case for hoop stress may not be at the highest rod internal pressure in all cases but will be related to the axial temperature and oxidation profiles of the rods at the end of life and in storage.

A Study on the Possibilities and Limits of the University-Industry Collaboration Faculty System based on their Experiences (산학협력중점교수제도의 가능성과 한계: 교수들의 경험 분석을 토대로)

  • Chae, Jae-Eun
    • The Journal of the Korea Contents Association
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    • v.21 no.5
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    • pp.538-547
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    • 2021
  • This article explores the possibilities and limits of the University-Industry Collaboration (UIC) Faculty System from their perspectives. A qualitative research study is conducted to gain an in-depth understanding of experiences of the UIC faculties. Semi-structured interviews of eight UIC faculties working for A University located in the Seoul Metropolitan area were conducted for the date collection. The results suggest that the UIC Faculty System has provided retirees with an opportunity to move into a second career. Their intangible assets such as industrial field experience, R&D competency, organizational competency, and network all together have contributed to the innovation of the university education. However, the short-term performance-oriented operation has prevented the development of the UIC faculty system. These findings suggest that the system should be improved in order to promote its mutual benefits to both universities and UIC faculties.