A realization of constraint feasibility in a moving least squares response surface based approximate optimization

Song, Chang Yong; Lee, Jong-Soo

doi:10.1007/s10589-009-9312-z

Cited by 6 publications

(4 citation statements)

References 26 publications

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“…여기서 헤시안(Hessian) 행렬의 대각요소 (2,9) 따라서, 이러한 근사 최적설계 결과는 설계성능 제한조건을 만족할 수 없기 때문에 실제 설계에 적용할 수 없는 문제점을 가지고 있다.…”

Section: 순차적 근사 최적화(Sao)unclassified

“…(6,7) 이동 최소 자승법(moving least squares method, MLSM) (8) 을 기반으로 고안된 CF-MLSM 과 Post-MLSM 은 제한조건 가용성 테스트 (constraint feasibility test)를 도입하여 근사 최적화의 수렴단계 혹은 후처리 단계에서 제한조건 가용성 을 보장함으로써 비가용적인 근사 최적해가 산출 되는 것을 방지하는 방법이다. (2,9) 본 연구에서는 범프 및 브레이크 하중조건 하에 서 자동차 넉클의 강도설계에 관한 회귀적인 메타 모델(regressive meta-model) 기반 근사최적화 기법 의 비교 연구를 수행하였다. 비교 연구를 위해 고 려된 근사 최적화 기법은 SAO, STDQAO, CF-MLSM, Post-MLSM 이다.…”

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“…각각 이전 설계점에서의 근사 도함수 오차를 수정하고 근사함수와 실제함수의 오차를 최소화 하기 위해 사용된 계수이다. 2.4 CF-MLSM 과 Post-MLSM CF-MLSM 는 근사최적화 계산과정 중에 비등가 제한조건의 가용성을 보장하기 위하여 고안되었으 며, 다음과 같이 정식화된다 (2,9). minimize…”

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Comparative Study of Approximate Optimization Techniques in CAE-Based Structural Design

Song¹,

Lee²

2010

Transactions of the Korean Society of Mechanical Engineers A

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The comparative study of regression-model-based approximate optimization techniques used in the strength design of an automotive knuckle component that will be under bump and brake loading conditions is carried out. The design problem is formulated such that the cross-sectional sizing variables are determined by minimizing the weight of the knuckle component that is subjected to stresses, deformations, and vibration frequency constraints. The techniques used in the comparative study are sequential approximate optimization (SAO), sequential two-point diagonal quadratic approximate optimization (STDQAO), and approximate optimization based on enhanced moving least squares method (MLSM), such as CF (constraint feasible)-MLSM and Post-MLSM. Commercial process integration and design optimization (PIDO) tools are utilized for the application of SAO and STDQAO. The enhanced MLSM-based approximate optimization techniques are newly developed to ensure constraint feasibility. The results of the approximate optimization techniques are compared with those of actual non-approximate optimization to evaluate their numerical performances.

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Section: 순차적 근사 최적화(Sao)unclassified

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Comparative Study of Approximate Optimization Techniques in CAE-Based Structural Design

Song¹,

Lee²

2010

Transactions of the Korean Society of Mechanical Engineers A

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“…This architecture is the same used in [191], where a quadratic penalty function (QEPF) model is developed with promising results. Finally, in [192], a moving least squares (MLSM) response surfaced based approximate optimization method is studied. On the other hand, [193] studies the inclusion of airworthiness requirements into MDO, while [194] does so with emissions.…”

Section: Multidisciplinary Design Optimizationmentioning

confidence: 99%

RPAS Design : an MDO Approach

Aliaga-Aguilar¹

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Unmanned aircraft and, particularly, RPAS (Remotely Piloted Aircraft Systems) are nowadays experiencing great growth both in the military and civil industries. This is due to the fact that removing the need to be manned has enabled the improvement of their endurance, range, and overall performance while, at the same time, reducing the risk to which human lives were exposed. In addition, RPAS can be made much smaller. This decrease of mass and size increases the variety of missions they can perform. However, the design process to manufacture such aircraft is often long and costly, which prevents small companies from undertaking it. Multidisciplinary Design Optimization (MDO) is an engineering field whose focus is to solve highly complex problems by the means of optimization techniques. It has been used in the design of commercial aircraft for a long time, but integrating the various engineering disciplines that take part in designing an RPAS within an MDO to simplify the design process is a challenge. In addition, there is an ample variety of architectures for MDO projects and, the reasons to choose a particular one, have to be discussed on a case by case basis. During the last years, distributed architectures have become widespread, given that they can take advantage of parallel computing (even with graphical platforms) and reduce computing time. Adapting the formulation of a problem to a particular vii Dissertation Overview Chapter 1: This is the introduction to the thesis. It presents the evolution of RPAS and the current state of the art both in MDO and in RPAS design methodologies. Chapter 2 introduces the Generic Parameter Penalty Architecture (GPPA): a new, flexible MDO architecture, oriented towards the solution of engineering problems that present different levels of complexity. Chapter 3 introduces the RPAS Advanced MDO Platform (RAMP). A new MDO environment aimed at the design of small RPAS. Chapters 4-7 present RAMP's main analysis models: aerodynamics, structure, economy and pricing, propulsion, and performance. Chapter 8 presents an application case of RAMP to a real-world mission. Chapter 8 does so by limiting RAMP's configuration availability to just classical. This provides the opportunity to compare its results to most commercially available RPAS, while Chapter 9 unleashes RAMP's full capabilities to also consider Blended Wing Body (BWB) and Canard configurations. Chapter 9 presents results for the various tests and hypothesis that are presented in the thesis, while Chapter 10 serves to give shape to the conclusions of the thesis and the future lines of research.

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Approximate multi-objective optimization using conservative and feasible moving least squares method: application to automotive knuckle design

Song

Choi

Lee

2013

Struct Multidisc Optim

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A realization of constraint feasibility in a moving least squares response surface based approximate optimization

Abstract: Approximate optimization, Moving least squares method (MLSM), Constraint feasibility, Constraint-feasible MLSM (CF-MLSM),

Cited by 6 publications

References 26 publications

Comparative Study of Approximate Optimization Techniques in CAE-Based Structural Design

Comparative Study of Approximate Optimization Techniques in CAE-Based Structural Design

RPAS Design : an MDO Approach

Approximate multi-objective optimization using conservative and feasible moving least squares method: application to automotive knuckle design

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