• 제목/요약/키워드: second order approximation

검색결과 171건 처리시간 0.022초

A Robust Optimization Using the Statistics Based on Kriging Metamodel

  • Lee Kwon-Hee;Kang Dong-Heon
    • Journal of Mechanical Science and Technology
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    • 제20권8호
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    • pp.1169-1182
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    • 2006
  • Robust design technology has been applied to versatile engineering problems to ensure consistency in product performance. Since 1980s, the concept of robust design has been introduced to numerical optimization field, which is called the robust optimization. The robustness in the robust optimization is determined by a measure of insensitiveness with respect to the variation of a response. However, there are significant difficulties associated with the calculation of variations represented as its mean and variance. To overcome the current limitation, this research presents an implementation of the approximate statistical moment method based on kriging metamodel. Two sampling methods are simultaneously utilized to obtain the sequential surrogate model of a response. The statistics such as mean and variance are obtained based on the reliable kriging model and the second-order statistical approximation method. Then, the simulated annealing algorithm of global optimization methods is adopted to find the global robust optimum. The mathematical problem and the two-bar design problem are investigated to show the validity of the proposed method.

응답량 재사용을 통한 순차 근사최적설계 (A Sequential Approximate Optimization Technique Using the Previous Response Values)

  • 황태경;최은호;임오강
    • 대한기계학회논문집A
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    • 제29권1호
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    • pp.45-52
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    • 2005
  • A general approximate optimization technique by sequential design domain(SDD) did not save response values for getting an approximate function in each step. It has a disadvantage at aspect of an expense. In this paper, previous response values are recycled for constructing an approximate function. For this reason, approximation function is more accurate. Accordingly, even if we did not determine move limit, a system is converged to the optimal design. Size and shape optimization using approximate optimization technique is carried out with SDD. Algorithm executing Pro/Engineer and ANSYS are automatically adopted in the approximate optimization program by SDD. Convergence criterion is defined such that optimal point must be located within SDD during the three steps. The PLBA(Pshenichny-Lim-Belegundu-Arora) algorithm is used to solve approximate optimization problems. This algorithm uses the second-order information in the direction finding problem and uses the active set strategy.

A Far Field Solution of the Slowly Varying Drift Force on an Offshore Structure in Bichromatic Waves - Two Dimensional Problems

  • 이상무
    • 한국해양공학회지
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    • 제22권2호
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    • pp.7-12
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    • 2008
  • A far field solution of the slowly varying force on an offshore structure by gravity ocean waves was shown as a function of the reflection and transmission of the body disturbed waves. The solution was obtained from the conservation of the momentum flux, which simply describes various wave forces, while making it unnecessary to compute complicated integration over a control surface. The solution was based on the assumption that the frequency difference of the bichromatic incident waves is small and its second order term is negligible. The final solution is expressed in term of the reflection and transmission waves, i.e. their amplitudes and phase angles. Consequently, it shows that not only the amplitudes but also the phase differences make critical contributions to the slowly varying force. In a limiting case, the slowly varying force solution gives the one of the mean drift force, which is only dependent on the reflection wave amplitude. An approximation is also suggested in a case where only the mean drift force information is available.

Inverse method to obtain reactivity in nuclear reactors with P1 point reactor kinetics model using matrix formulation

  • Suescun-Diaz, Daniel;Espinosa-Paredes, Gilberto;Escobar, Freddy Humberto
    • Nuclear Engineering and Technology
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    • 제53권2호
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    • pp.414-422
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    • 2021
  • The aim of this work considers a second order point reactor kinetics model based on the P1 approximation of transport theory, called in this work as P1 point reactor model. The P1 point reactor model implicitly considers the time derivative of the neutron source which has not been thus considered previously. The inverse method to calculate the reactivity in nuclear reactors -chosen because its high accuracy- Matrix Formulation. The numerical results shown that the Matrix Formulation for the reactivity estimation constitutes a method with insignificant calculation errors.

OFDM 통신시스템에서 위상 잡음분석 (Phase Noise Analysis in the OFDM Communication System)

  • 이영선;유흥균;정영호;함영권
    • 한국전자파학회논문지
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    • 제15권11호
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    • pp.1043-1050
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    • 2004
  • 본 연구에서는 위상 잡음이 OFDM통신 시스템 성능에 미치는 영향에 대해 연구하였다. OFDM통신 시스템의 정확한 분석을 위해 위상 잡음의 2차항을 고려한 비선형 근사 방법을 이용하여 위상 잡음으로 인해 나타나는 현상들을 보다 정확하게 분석하고 정량화 하였다. 분석결과 QPSK-OFDM통신 시스템에서 PLL주파수 합성기의 루프 대역을 5.0 kHz, 1.0 Hlz와 0.5 KHz로 각각 설정했을 때 위상 잡음으로 인해 발생하는 성능 저하 수치를 위상 잡음이 없는 이상적인 경우 AWGN 환경에서의 BER성능과 비교해 보면 BER=$10^{-4}$를 만족하기 위해 약0.6 dB, 1.0 dB와 1.7 dB 정도의 SNR손실이 발생한다. 16QAM 변조방식을 사용한 경우에는 루프 대역이 각각 5 kHz, 1.0 kHz, 그리고 0.5 kHz일 때에 약 1.9dB, 3.2dB, 그리고 6.7dB의 SNR 손실이 발생하게 된다. 기존 선형 근사화 기법과 본 연구에서 QPSK 변조방식을 사용하였을 경우 분산의 크기가 0.02까지는 두 곡선이 거의 비슷한 성능을 보이지만, 0.02 이상 분산 간이 더 커지게 되면 기존 연구와 본 연구 사이에 차이가 발생하게 된다. 또한 해석적 방법에 의한 BER성능 분석결과와 QPSK와 16QAM 변조를 사용하는 OFDM통신 시스템의 시뮬레이션 결과가 동일함을 보인다. 아울러 QPSK-OFDM 통신 시스템 에서 위상 잡음 분산이 0.03 이상이 되면 에러 floor가 생겨서 BER 성능이 악화된다.

Damage detection of plate-like structures using intelligent surrogate model

  • Torkzadeh, Peyman;Fathnejat, Hamed;Ghiasi, Ramin
    • Smart Structures and Systems
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    • 제18권6호
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    • pp.1233-1250
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    • 2016
  • Cracks in plate-like structures are some of the main reasons for destruction of the entire structure. In this study, a novel two-stage methodology is proposed for damage detection of flexural plates using an optimized artificial neural network. In the first stage, location of damages in plates is investigated using curvature-moment and curvature-moment derivative concepts. After detecting the damaged areas, the equations for damage severity detection are solved via Bat Algorithm (BA). In the second stage, in order to efficiently reduce the computational cost of model updating during the optimization process of damage severity detection, multiple damage location assurance criterion index based on the frequency change vector of structures are evaluated using properly trained cascade feed-forward neural network (CFNN) as a surrogate model. In order to achieve the most generalized neural network as a surrogate model, its structure is optimized using binary version of BA. To validate this proposed solution method, two examples are presented. The results indicate that after determining the damage location based on curvature-moment derivative concept, the proposed solution method for damage severity detection leads to significant reduction of computational time compared with direct finite element method. Furthermore, integrating BA with the efficient approximation mechanism of finite element model, maintains the acceptable accuracy of damage severity detection.

The nonlinear galloping of iced transmission conductor under uniform and turbulence wind

  • Liu, Zhonghua;Ding, Chenhui;Qin, Jian;Lei, Ying
    • Structural Engineering and Mechanics
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    • 제75권4호
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    • pp.465-475
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    • 2020
  • The analytical approach for stability and response of iced conductor under uniform wind or turbulent wind is presented in this study. A nonlinear dynamic model is established to describe the motion of iced conductor galloping. In the case of uniform wind, the stability condition is derived by analyzing the eigenvalue associated with linearized matrix; The first order and second order approximation of galloping amplitude are obtained using multi-scale method. However, real wind has random characteristics essentially. To accurately evaluate the performance of the galloping iced conductor, turbulence wind should be described by random processes. In the case of turbulence wind, the Lyapunov exponent is conducted to judge the stability condition; The probability density of displacement is obtained by using the path integral method to predict galloping amplitude. An example is proposed to verify the effectiveness of the previous methods. It is shown that the fluctuating component of wind has little influence on the stability of iced conductor, but it can increase galloping amplitude. The analytical results on stability and response are also verified by numerical time stepping method.

The effect of small forward speed on prediction of wave loads in restricted water depth

  • Guha, Amitava;Falzarano, Jeffrey
    • Ocean Systems Engineering
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    • 제6권4호
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    • pp.305-324
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    • 2016
  • Wave load prediction at zero forward speed using finite depth Green function is a well-established method regularly used in the offshore and marine industry. The forward speed approximation in deep water condition, although with limitations, is also found to be quite useful for engineering applications. However, analysis of vessels with forward speed in finite water depth still requires efficient computing methods. In this paper, a method for analysis of wave induced forces and corresponding motion on freely floating three-dimensional bodies with low to moderate forward speed is presented. A finite depth Green function is developed and incorporated in a 3D frequency domain potential flow based tool to allow consideration of finite (or shallow) water depth conditions. First order forces and moments and mean second order forces and moments in six degree of freedom are obtained. The effect of hull flare angle in predicting added resistance is incorporated. This implementation provides the unique capability of predicting added resistance in finite water depth with flare angle effect using a Green function approach. The results are validated using a half immersed sphere and S-175 ship. Finally, the effect of finite depth on a tanker with forward speed is presented.

New Target Transfer Functions with No Overshoot

  • Yang, Dae--Jeong;Kim, Young-Chol
    • Journal of KIEE
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    • 제11권1호
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    • pp.14-20
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    • 2001
  • To design a controller based on the pole placement method, it is necessary to obtain either a target transfer function or a desired characteristic equation which results in the closed-loop response. Specially, a step response in which no overshoot occurs in highly desirable in many applications. In this paper, we present two new present two new prototypes of Type I target transfer functions whose step responses have an overshoot of less than 0.1%. One prototype is obtained by Taylor's approximation of a Gaussian function. It is, however, observed that the response delays increase with increasing order, while the rise times are nearly constant. The other prototype is a modification of the first prototype, so that their transfer function coefficients have particular values in terms of specific parameters ${\gamma}$i and $\tau$ (see section 2). The second prototype gives very useful properties in which step responses are almost the same shape, irrespective of the order. It, also, has no overshoot. Some other properties of the prototypes and an application example are given.

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Non-grey Radiative Transfer in the Solar Surface Convection

  • 박기훈;김용철
    • 천문학회보
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    • 제36권1호
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    • pp.34.1-34.1
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    • 2011
  • Combining a detailed non-grey radiative transfer computation with the three dimensional hydrodynamics, we investigate a reliable numerical scheme for turbulent convection in the solar surface. The solar photosphere is the extremely turbulent region composed of partly ionized compressible gases in high temperature. Especially, the super adiabatic layer (SAL) near the solar photosphere is the shallow transition region where the energy transport varies steeply from convection to radiation. In order to describe physical processes accurately, a detailed treatment of radiative transfer should be considered as well as the high resolution computation of fluid dynamics. For a direct computation of radiation fields, the Accelerated Lambda Iteration (ALI) methods have been applied to hydrodynamical medium, incorporating the Opacity Distribution Function (ODF) as a realistic schemes for non-grey problems. Computational domain is the rectangular box of dimensions $42{\times}3Mn$ with the resolution of $1202{\times}190$ meshed grids, which covers several granules horizontally and 8 ~ 9 pressure scale heights vertically. During several convective turn-over times, the 3-D snapshots have been compiled with a second order accuracy. In addition, our radiation-hydrodynamical computation has been compared with the classical approximations such as grey atmospheres and Eddington approximation.

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