• 제목/요약/키워드: probabilistic constraints

검색결과 92건 처리시간 0.02초

컴플라이언트 메커니즘의 신뢰성 기반 위상최적설계 (Reliability Based Topology Optimization of Compliant Mechanisms)

  • 임민규;박재용;한석영
    • 한국생산제조학회지
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    • 제19권6호
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    • pp.826-833
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    • 2010
  • Electric-thermal-structural actuated compliant mechanisms are mechanisms onto which electric voltage drop is applied as input instead of force. This mechanism is based on thermal expansion of material while being heated. Compliant mechanisms are designed subjected to electric charge input using BESO(bi-directional evolutionary structural optimization) method. Reliability-based topology optimization (RBTO) is applied to the topology design of actuators. performance measure approach (PMA), which has probabilistic constraints that are formulated in terms of the reliability index, is adopted to evaluate the probabilistic constraints. In this study, BESO method is used to obtain optimal topology of compliant mechanisms from initial design domain. PMA approach is used to evaluate reliability index. The procedure has been tested in numerical applications and compared with the results obtained by other methods to validate these approaches.

성능치 접근법을 이용한 시스템 신뢰도 기반 최적설계 (System Reliability-Based Design Optimization Using Performance Measure Approach)

  • 강수창;고현무
    • 대한토목학회논문집
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    • 제30권3A호
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    • pp.193-200
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    • 2010
  • 구조물을 설계함에 있어서 작용하중, 재료특성 및 제작오차 등의 불확실성을 고려하여 안전성을 확보함과 동시에 경제적 효율성을 고려해야 한다. 이에 대한 가장 합리적인 해결방안으로서, 불확실성과 경제성을 동시에 고려하는 시스템 신뢰도 기반 최적설계 분야에 대한 관심이 증대되었으며 이를 구조물 설계에 적용하기 위한 많은 시도가 이루어졌다. 기존의 확정론적 최적설계와는 다르게 시스템 신뢰도 기반 최적설계는 요소 확률구속조건 및 시스템 확률구속조건에 대한 평가를 수행해야 한다. 하지만, 요소 신뢰도 지수 및 시스템 신뢰도 지수를 매 확률구속조건을 평가할 때마다 산정해야 하므로 대형구조해석이 필요한 경우에는 과도한 계산시간이 요구된다. 따라서, 대형구조해석을 필요로 하는 경우에 대하여 보다 효율적인 SRBDO 알고리즘 개발이 필요하다고 할 수 있다. 이 연구에서는 성능치 접근법을 이용하여 보다 더 안정적이고 효율적인 시스템 신뢰도 기반 최적설계 알고리즘을 제안하였다. 신뢰도 기반 최적설계에 효과적으로 적용된 성능치 접근법은 직접적으로 신뢰도 지수 및 파괴확률을 산정할 수 없어 시스템 신뢰도 기반 최적설계에는 적용할 수 없는 단점이 있다. 이러한 단점을 극복하기 위해서 시스템 신뢰도 기반 최적설계 알고리즘을 요소 신뢰도 해석만을 수행하는 신뢰도 기반 최적설계 부분과 시스템 신뢰도 해석만을 수행하는 신뢰도 기반 최적설계 부분으로 나누어, 요소 신뢰도 해석만을 수행하는 신뢰도 기반 최적설계에 성능치 접근법을 적용하였다. 시스템 신뢰도 지수가 목표 시스템 신뢰도 지수를 만족할 때까지 각 요소 한계상태에 대한 목표 신뢰도 지수를 변경하면서 신뢰도 기반 최적설계를 수행하였다. 수학적 문제 및 트러스 문제에 대하여 제안된 방법을 적용한 결과, 수렴성 및 효율성 측면에서 우수한 성능을 보여줌을 확인하였다.

최대전력수송능력의 확률론적 평가법 (A Probabilistic Evaluation Method on Maximal Flow of Power Systems)

  • 정민화;유수현;이병준;송길영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 C
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    • pp.911-914
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    • 1998
  • This paper presents an algorithm that evaluates the transfer capability of composite power systems using probabilistic approaches. The reliability indices calculated by using probabilistic method are expected maximal flow, expected transfer capability margin, and expected power not supplied. In this paper, a successive linear programming technique is used to evaluate transfer capability named maximal flow. Physical constraints considered in the maximal flow problem are the limits of toad voltage, line overloading, and real & reactive power generation. Numerical results on IEEE RTS show that the proposed algorithm is effective and useful.

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Probabilistic Load Flow for Power Systems with Wind Power Considering the Multi-time Scale Dispatching Strategy

  • Qin, Chao;Yu, Yixin;Zeng, Yuan
    • Journal of Electrical Engineering and Technology
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    • 제13권4호
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    • pp.1494-1503
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    • 2018
  • This paper proposes a novel probabilistic load flow model for power systems integrated with large-scale wind power, which considers the multi-time scale dispatching features. The ramp limitations of the units and the steady-state security constraints of the network have been comprehensively considered for the entire duration of the study period; thus, the coupling of the system operation states at different time sections has been taken into account. For each time section, the automatic generation control (AGC) strategy is considered, and all variations associated with the wind power and loads are compensated by all AGC units. Cumulants and the Gram-Charlier expansion are used to solve the proposed model. The effectiveness of the proposed method is validated using the modified IEEE RTS 24-bus system and the modified IEEE 118-bus system.

Probability-based structural response of steel beams and frames with uncertain semi-rigid connections

  • Domenico, Dario De;Falsone, Giovanni;Laudani, Rossella
    • Structural Engineering and Mechanics
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    • 제67권5호
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    • pp.439-455
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    • 2018
  • Within a probabilistic framework, this paper addresses the determination of the static structural response of beams and frames with partially restrained (semi-rigid) connections. The flexibility of the nodal connections is incorporated via an idealized linear-elastic behavior of the beam constraints through the use of rotational springs, which are here considered uncertain for taking into account the largely scattered results observed in experimental findings. The analysis is conducted via the Probabilistic Transformation Method, by modelling the spring stiffness terms (or equivalently, the fixity factors of the beam) as uniformly distributed random variables. The limit values of the Eurocode 3 fixity factors for steel semi-rigid connections are assumed. The exact probability density function of a few indicators of the structural response is derived and discussed in order to identify to what extent the uncertainty of the beam constraints affects the resulting beam response. Some design considerations arise which point out the paramount importance of probability-based approaches whenever a comprehensive experimental background regarding the stiffness of the beam connection is lacking, for example in steel frames with semi-rigid connections or in precast reinforced concrete framed structures. Indeed, it is demonstrated that resorting to deterministic approaches may lead to misleading (and in some cases non-conservative) outcomes from a design viewpoint.

민감도가 고려된 알고리듬을 이용한 최적화 방법에 관한 연구 (A Study on the Optimization Method using the Genetic Algorithm with Sensitivity Analysis)

  • 이재관;신효철
    • 대한기계학회논문집A
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    • 제24권6호
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    • pp.1529-1539
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    • 2000
  • A newly developed optimization method which uses the genetic algorithm combined with the sensitivity analysis is presented in this paper. The genetic algorithm is a probabilistic method, searching the optimum at several points simultaneously, requiring only the values of the object and constraint functions. It has therefore more chances to find global solution and can be applied various problems. Nevertheless, it has such shortcomings that even it approaches the optimum rapidly in the early stage, it slows down afterward and it can't consider the constraints explicitly. It is only because it can't search the local area near the current points. The traditional method, on the other hand, using sensitivity analysis is of great advantage in searching the near optimum. Thus the combination of the two techniques makes use of the individual advantages, that is, the superiority both in global searching by the genetic algorithm and in local searching by the sensitivity analysis. Application of the method to the several test functions verifies that the method suggested is very efficient and powerful to find the global solutions, and that the constraints can be considered properly.

철도차량 현수장치의 식스시그마 강건 설계 (Six Sigma Robust Design for Railway Vehicle Suspension)

  • 이광기;박찬경;한승호
    • 대한기계학회논문집A
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    • 제33권10호
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    • pp.1132-1138
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    • 2009
  • The spring constants of primary suspensions for a railway vehicle are optimized by a robust design process, in which the response surface models(RSMs) of their dynamic responses are constructed via the design of experiment(DOE). The robust design process requires an intensive computation to evaluate exactly a probabilistic feasibility for the robustness of dynamic responses with their probabilistic variances for the railway vehicle. In order to overcome the computational process, the process capability index $C_{pk}$ is introduced which enables not only to show the mean value and the scattering of the product quality to a certain extent, but also to normalize the objective functions irrespective of various different dimensions. This robust design, consequently, becomes to optimize the $C_{pk}$ subjected to constraints, i.e. 2, satisfying six sigma. The proposed method shows not only an improvement of some $C_{pk}$ violating the constraints obtained by the conventional optimization, but also a significant decrease of the variance of the $C_{pk}$.

신뢰성 해석을 이용한 차량 후드 보강재의 위상최적화 (Topology Optimization of the Inner Reinforcement of a Vehicle's Hood using Reliability Analysis)

  • 박재용;임민규;오영규;박재용;한석영
    • 한국생산제조학회지
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    • 제19권5호
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    • pp.691-697
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    • 2010
  • Reliability-based topology optimization (RBTO) is to get an optimal topology satisfying uncertainties of design variables. In this study, reliability-based topology optimization method is applied to the inner reinforcement of vehicle's hood based on BESO. A multi-objective topology optimization technique was implemented to obtain optimal topology of the inner reinforcement of the hood. considering the static stiffness of bending and torsion as well as natural frequency. Performance measure approach (PMA), which has probabilistic constraints that are formulated in terms of the reliability index, is adopted to evaluate the probabilistic constraints. To evaluate the obtained optimal topology by RBTO, it is compared with that of DTO of the inner reinforcement of the hood. It is found that the more suitable topology is obtained through RBTO than DTO even though the final volume of RBTO is a little bit larger than that of DTO. From the result, multiobjective optimization technique based on the BESO can be applied very effectively in topology optimization for vehicle's hood reinforcement considering the static stiffness of bending and torsion as well as natural frequency.

확률적인 시간 제약 조건을 갖는 실시간 시스템을 위한 과실행 제어 및 합성 기법 (An Overrun Control Method and its Synthesis Method for Real-Time Systems with Probabilistic Timing Constraints)

  • 김강희;황호영
    • 한국정보과학회논문지:시스템및이론
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    • 제32권5호
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    • pp.243-254
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    • 2005
  • 멀티미디어와 같은 연성 실시간 응용들은 서비스 품질을 위해 각 태스크들이 마감시간 전에실행을 마칠 수 있다는 확률적 보장을 요구한다. 시스템 설계자는 태스크들의 확률적 시간 제약 조건을 만족시키는 범위내에서 각 태스크에게 최악 처리기 요구량 보다는 적은 처리기 시간을 할당함으로써 시스템 이용률 향상을 추구할 수 있다. 그러나 각 태스크에게 주어진 처리기 할당량이 최악 요구량보다 적은 경우에는 필연적으로 할당량을 초과하는 요구량을 가진 태스크 작업들, 즉 과실행 작업들이 발생하게 되므로 과실행 작업에 대한 제어 기법이 필요하다. 본 논문에서는 연성 실시간 시스템에서의 확률적인 과실행 제어 기법 및 합성 기법을 제안한다. 제안하는 기법은 우선순위 스케줄링의 기반 위에서 각 태스크가 주어진 확률적 시간 제약 조건을 만족할 수 있도록 과실행을 억제함과 동시에, 태스크 실행시간의 가변성으로 인한 여분의 처리기 시간을 일부 과실행 태스크에 유연하게 할당함으로써 시스템 이용률을 향상 시킬수 있다. 본 논문에서는 시스템 모델의 제시와 실험 결과의 분석을 통하여 제안하는 과실행 제어 기법이 마감시간 위반율 측면에서 기존의 기법들보다 우수함을 보이며, 또한 임의의 확률적 시간 제약 조건이 주어질 때 이를 만족시키는 과실행 제어 기법의 매개 변수들을 합성할 수 있음을 보인다.

기계 구조의 강건 설계를 위한 최적화 기법의 개발 (Development of an Optimization Technique for Robust Design of Mechanical Structures)

  • 정도현;이병채
    • 대한기계학회논문집A
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    • 제24권1호
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    • pp.215-224
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    • 2000
  • In order to reduce the variation effects of uncertainties in the engineering environments, new robust optimization method, which considers the uncertainties in design process, is proposed. Both design variables and system parameters are considered as random variables about their nominal values. To ensure the robustness of performance function, a new objective is set to minimize the variance of that function. Constraint variations are handled by introducing probability constraints. Probability constraints are solved by the advanced first order second moment (AFOSM) method based on the reliability theory. The proposed robust optimization method has an advantage that the second derivatives of the constraints are not required. The suggested method is examined by solving three examples and the results are compared with those for deterministic case and those available in literature.