• Title/Summary/Keyword: Constraint Condition

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Consideration of Constraint Effect of Surface Cracks Under PTS Conditions Using J-Q Approach (PTS 사고하에서 J-Q해석법을 이용한 표면균열의 구속효과 고찰)

  • Kim, Jin-Su;Choe, Jae-Bung;Kim, Yun-Jae;Kim, Yeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.1
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    • pp.105-112
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    • 2002
  • In recent years, the integrity of reactor Pressure Vessel(RPV) under pressurized thermal shock (PTS) accident has been treated as one of the most critical issues. Under PTS condition, the combination of thermal and mechanical stress by steep temperature gradient and internal pressure causes considerably high tensile stress at the inside of RPV wall. As a result, cracks on inner surface of RPV may experience elastic-plastic behavior which can be characterized by J-integral. In such a case, however, J-integral may possibly lose its vapidity due to the constraint effect. The degree of constraint effect is influenced by the loading mode, crack geometry and material properties. In this paper, in order to investigate the effect of clad thickness and crack geometry on constraint effect, three dimensional finite element analyses were performed for various surface cracks. Total of 27 crack geometries were analyzed and results were presented by a two-parameter characterization based on the J-integral and the f-stress.

A Study on Periodic Review Inventory System under Stochastic Budget Constraint (확률적 예산 제약을 고려한 주기적 재고관리 정책에 대한 연구)

  • Lee, Chang-Yong;Lee, Dongju
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.37 no.1
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    • pp.165-171
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    • 2014
  • We develop an optimization algorithm for a periodic review inventory system under a stochastic budget constraint. While most conventional studies on the periodic review inventory system consider a simple budget limit in terms of the inventory investment being less than a fixed budget, this study adopts more realistic assumption in that purchasing costs are paid at the time an order is arrived. Therefore, probability is employed to express the budget constraint. That is, the probability of total inventory investment to be less than budget must be greater than a certain value assuming that purchasing costs are paid at the time an order is arrived. We express the budget constraint in terms of the Lagrange multiplier and suggest a numerical method to obtain optional values of the cycle time and the safety factor to the system. We also perform the sensitivity analysis in order to investigate the dependence of important quantities on the budget constraint. We find that, as the amount of budget increases, the cycle time and the average inventory level increase, whereas the Lagrange multiplier decreases. In addition, as budget increases, the safety factor increases and reaches to a certain level. In particular, we derive the condition for the maximum safety factor.

Constraint Analysis and Reduction of Over-Constraints for Tolerance Design of Assemblies - A Case Study of Ball Valve Design (조립체 공차설계를 위한 제약해석과 과잉제약 개선 - 볼밸브 설계 사례연구)

  • Park, Jun Il;Yim, Hyunjune
    • Journal of the Korean Society for Precision Engineering
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    • v.33 no.8
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    • pp.669-681
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    • 2016
  • Mechanical designers often make mistakes that result in unwanted over-constraints, causing difficulty in assembly operations and residual stress due to interference among parts. This study is concerned with detection and elimination of over-constraints. Screw theory is a general method that is used for constraint analysis of an assembly and motion analysis of a mechanism. Mechanical assemblies with plane-plane, pin-hole, and pin-slot constraint pairs are analyzed using screw theory to illustrate its utility. As a real-world problem, a ball valve design is analyzed using the same method, and several unwanted over-constraints are detected. Elimination measures are proposed. Nominal dimensions of some parts are adjusted, and dimensions and tolerances of the pins and holes are modified using the virtual condition boundary concept. The revised design is free of over-constraints. General procedure for applying screw theory to constraint analysis is established and demonstrated; it will contribute to improving quality of assembly designs.

Energy Efficiency Optimization for multiuser OFDM-based Cognitive Heterogeneous networks

  • Ning, Bing;Zhang, Aihua;Hao, Wanming;Li, Jianjun;Yang, Shouyi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.6
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    • pp.2873-2892
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    • 2019
  • Reducing the interference to the licensed mobile users and obtaining the energy efficiency are key issues in cognitive heterogeneous networks. A corresponding rate loss constraint is proposed to be used for the sensing-based spectrum sharing (SBSS) model in cognitive heterogeneous networks in this paper. Resource allocation optimization strategy is designed for the maximum energy efficiency under the proposed interference constraint together with average transmission power constraint. An efficiency algorithm is studied to maximize energy efficiency due to the nonconvex optimal problem. Furthermore, the relationship between the proposed protection criterion and the conventional interference constraint strategy under imperfect sensing condition for the SBSS model is also investigated, and we found that the conventional interference threshold can be regarded as the upper bound of the maximum rate loss that the primary user could tolerate. Simulation results have shown the effectiveness of the proposed protection criterion overcome the conventional interference power constraint.

A study on the estimate of the angular distortion for a fillet weldment (필릿 용접부의 각변형량 예측에 관한 연구)

  • ;;;Lee, S. H.;Cho, S. H.
    • Journal of Welding and Joining
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    • v.15 no.4
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    • pp.63-69
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    • 1997
  • Welding distortion is more serious problem than any other problems caused by welding process, especially, in the heavy-industrial place. These welding distortions are caused by nonuniform heating and cooling of metal during and after welding operations. And these distortion quantities are must be known to worker in production line because distorions are important role in assembling part. Therefore an analytical model to explain and predict the welding distortion are needed. A numerical analysis of welding distortion which is inelastic behavior of weldment would require the three dimensional calculation. But computing time and memory would be very large, and the resulting cost might be unacceptable. Therefore we use a numerical technique for two dimensional analysis in the section normal to the weld direction of weldment under an assumption of quasi-stationary conditions. But the result of the calculation under two dimensional(plane strain) assumption was not satisfied as compared with experimental result. This paper proposed a technique for analysing the welding angular distortion by using a constraint boundary condition on the two dimensional finite element model. The simulation results revealed that the constraint boundary model could more reasonably describe the welding distortion than the plane strain model did.

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INVEXITY AS NECESSARY OPTIMALITY CONDITION IN NONSMOOTH PROGRAMS

  • Sach, Pham-Huu;Kim, Do-Sang;Lee, Gue-Myung
    • Journal of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.241-258
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    • 2006
  • This paper gives conditions under which necessary optimality conditions in a locally Lipschitz program can be expressed as the invexity of the active constraint functions or the type I invexity of the objective function and the constraint functions on the feasible set of the program. The results are nonsmooth extensions of those of Hanson and Mond obtained earlier in differentiable case.

An LMI Approach for Designing Sliding Mode Observers (슬라이딩 모드 관측기 설계를 위한 선형행렬부등식 접근법)

  • Choi Han Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.1
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    • pp.9-12
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    • 2005
  • This paper presents an LMI-based method to design sliding mode observers for a class of uncertain systems. Using LIs we derive an existence condition of a sliding mode observer guaranteeing a stable sliding motion. And we give explicit formulas of the observer gain matrices. We also consider sliding mode observer design problems under an α-stability constraint or an LQ performance bound constraint. Finally, we give a numerical design example.

Motion Planning of Manipulators Using Kinematic Redundancy and ZMP Constraint Condition (기구학적 여유도와 ZMP 구속 조건을 이용한 매니퓰레이터의 동작 계획)

  • Choi, Jae-Yeon;Yoon, Hyun-Soo;Yi, Byung-Ju
    • The Journal of Korea Robotics Society
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    • v.6 no.4
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    • pp.308-316
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    • 2011
  • This work deals with development of effective redundancy resolution algorithms for the motion control of manipulator. Differently from the typical kinematically redundant robots that are attached to the fixed ground, the ZMP condition should be taken into account in the manipulator motion in order to guarantee the system stability. In this paper, a new motion planning algorithm for redundant manipulator not fixed to the ground is introduced. A sequential redundancy resolution algorithm is proposed, which ensures the ZMP (Zero Moment Point) stability, the planned operational motion, and additional sub-criteria such as joint limit index. A geometric constraint equation derived by reshaping the existing ZMP equation enables one to employ the sequential redundancy algorithm. The feasibility of the proposed algorithm is verified by simulating a redundant manipulator model.

Nonlinear Dynamic Analysis of Deep Water Riser by the Utilization on the Kinematic Constraint Condition (운동학적 제약조건을 이용한 심해저 라이저의 비선형 동적해석)

  • 홍남식
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.495-508
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    • 1999
  • 변형된 라이저의 단위 접선벡터상의 운동학적 제약조건을 적용하여 심해저 라이저의 비선형 동적해석을 행한다. 이 조건의 적용으로 자유도수를 감소시킬 수 있으며 심한 비선형성으로 인한 해의 발산 가능성을 제거할 수 있다. 라이저의 거대변형으로 인한 기하학적 비선형성과 비선형 경계조건이 고려된다. 또한, 비선형성이 포함되는 수동학적 하중이 조류와 파랑에 의해 발생하여 내부에 정상류가 흐르는 라이저관의 외벽에 작용하게 된다. 이 외에도라이저 자체의 축방향 변형조건을 고려한다. Galerkin의 유한요소 근사화와 시간증분자를 적용하여 유한요소에 대한 평형 메트릭스 방정식을 유도하고, 수치해석을 위한 알고리즘을 제안하며 API 보고서의 결과와 비교함으로써 제안된 모델이 검증된다. 또한, 기하학적 비선형성으로 인한 영향을 조사하였다.

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High-Temperature Structural Analysis on the Small-Scale PHE Prototype under the Test Condition of Small-Scale Gas Loop (소형가스루프 시험조건에서 소형 공정열교환기 시제품의 고온구조해석)

  • Song, Kee-nam;Hong, S-D;Park, H-Y
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.8 no.1
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    • pp.1-7
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    • 2012
  • A PHE (Process Heat Exchanger) is a key component required to transfer heat energy of $950^{\circ}C$ generated in a VHTR (Very High Temperature Reactor) to the chemical reaction that yields a large quantity of hydrogen. A small-scale PHE prototype made of Hastelloy-X is being tested in a small-scale gas loop at Korea Atomic Energy Research Institute. In order to properly evaluate the high-temperature structural integrity of the small-scale PHE prototype, it is very important to impose a proper constraint condition on its structural analysis model. For this effort, we tried to impose several constraint conditions on the structural analysis model and consequently fixed a proper and effective displacement constraints.