• 제목/요약/키워드: Approximation formula

Search Result 125, Processing Time 0.027 seconds

An efficient Reliability Analysis Method Based on The Design of Experiments Augmented by The Response Surface Method (실험계획법과 반응표면법을 이용한 효율적인 신뢰도 기법의 개발)

  • 이상훈;곽병만
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 2004.10a
    • /
    • pp.700-703
    • /
    • 2004
  • A reliability analysis and design procedure based on the design of experiment (DOE) is combined with the response surface method (RSM) for numerical efficiency. The procedure established is based on a 3$^n$ full factorial DOE for numerical quadrature using explicit formula of optimum levels and weights derived for general distributions. The full factorial moment method (FFMM) shows good performance in terms of accuracy and ability to treat non-normally distributed random variables. But, the FFMM becomes very inefficient because the number of function evaluation required increases exponentially as the number of random variables considered increases. To enhance the efficiency, the response surface moment method (RSMM) is proposed. In RSMM, experiments only with high probability are conducted and the rest of data are complemented by a quadratic response surface approximation without mixed terms. The response surface is updated by conducting experiments one by one until the value of failure probability is converged. It is calculated using the Pearson system and the four statistical moments obtained from the experimental data. A measure for checking the relative importance of an experimental point is proposed and named as influence index. During the update of response surface, mixed terms can be added into the formulation.

  • PDF

An Efficient Dynamic Response Optimization Using the Design Sensitivities Approximated Within the Estimate Confidence Radius

  • Park, Dong-Hoon;Kim, Min-Soo
    • Journal of Mechanical Science and Technology
    • /
    • v.15 no.8
    • /
    • pp.1143-1155
    • /
    • 2001
  • In order to reduce the expensive CPU time for design sensitivity analysis in dynamic response optimization, this study introduces the design sensitivities approximated within estimated confidence radius in dynamic response optimization with ALM method. The confidence radius is estimated by the linear approximation with Hessian of quasi-Newton formula and qualifies the approximate gradient to be validly used during optimization process. In this study, if the design changes between consecutive iterations are within the estimated confidence radius, then the approximate gradients are accepted. Otherwise, the exact gradients are used such as analytical or finite differenced gradients. This hybrid design sensitivity analysis method is embedded in an in-house ALM based dynamic response optimizer, which solves three typical dynamic response optimization problems and one practical design problem for a tracked vehicle suspension system. The optimization results are compared with those of the conventional method that uses only exact gradients throughout optimization process. These comparisons show that the hybrid method is more efficient than the conventional method. Especially, in the tracked vehicle suspension system design, the proposed method yields 14 percent reduction of the total CPU time and the number of analyses than the conventional method, while giving similar optimum values.

  • PDF

Effects of Demagnetization Field in Patterned Micro-magnetic Film Elements (패턴 된 미크론 자기박막 소자에서의 자기소거장 효과분석)

  • Kim, Ki-Chul;Suh, Jeong-Dae;;Lee, C.S.;Song, Y.J.
    • Journal of the Korean Magnetics Society
    • /
    • v.13 no.3
    • /
    • pp.103-108
    • /
    • 2003
  • A micromagnetic model and a Stoner-Wohlfarth model are used to analyze the effect of demagnetization field in patterned permalloy films. Permalloy films of 20 $\mu\textrm{m}$${\times}$(40 $\mu\textrm{m}$∼200 $\mu\textrm{m}$) are fabricated by DC magnetron sputtering and photo lithography. Measured magnetoresistance data of patterned permalloy films are compared with simulation results. The micromagnetic model gives a better agreement with the measured MR data than the Stoner-Wohlfarth model. Based on the simulation results, we propose a revised approximation formula for dernagnetization field in Stoner- Wohlfarth model for a few fm patterned magnetic films.

RESEARCH OF PROMOTION JUDGE SYSTEM USING AN IMAGE IN AGRICULTURE

  • Aoki, Kousuke;Kawajiri, Hiroshi;Nishihara, Isao;Nakano, Shizuo;Sugimori, Fumio
    • Proceedings of the Korean Society of Broadcast Engineers Conference
    • /
    • 2009.01a
    • /
    • pp.504-507
    • /
    • 2009
  • Color chart area is automatically extracted in image that captured a crop such as fruits with the color chart, and an approximation formula is obtained for the change in feature value of the color indexes. Comparison is made with the color value of the crop area, and the growing degree is assessed according to the correlation. Using a compact PC equipped with the program, image of fruits is captured, and the output value obtained by the system is compared to the rating by expert. In the automatic recognition of the color chart out of doors, the complete color indexes is correctly acquired in 22 of 29 images. And indoors, they are correctly acquired in all of 34 images. In the color value judgment of the Japanese pear, indoors, 32 of 34 images is within 1.0 of the judgment error (compared the value read off by experts), the average error is about 0.5. These results indicate a practicable value.

  • PDF

First-principles Study on the Half-metallicity and Magnetism of a Full Heusler Alloy, Co2HfSi, in Bulk State and at its (001) Surfaces

  • Jin, Ying-Jiu;Lee, Jae-Il
    • Journal of Magnetics
    • /
    • v.13 no.4
    • /
    • pp.115-119
    • /
    • 2008
  • The authors predicted that $Co_2HfSi$, a $Co_2$-based full Heusler alloy, is being a half-metallic ferromagnet by first-principles calculations using the all electron full-potential linearized augmented plane wave method which adopts the generalized gradient approximation. The integer value of the calculated total magnetic moment of 2.00 ${\mu}_B$ per formula unit and a spin gap of 0.69 eV in spin down state confirmed the half-metallicity of bulk $Co_2HfSi$. For the $Co_2HfSi$(001) surface, we considered two possible surface terminations, namely, Co terminated and HfSi terminated surfaces. It was found that half-metallicity was retained at the HfSi-terminated surface but not at the Co-terminated surface. The magnetic moment of surface Co atoms in the Co-terminated surface was slightly lower than that of Co atoms in deep inner-layers, whereas the magnetic moments of Hf and Si atoms at the HfSi-terminated surface were almost same as those in deep inner-layers.

The Optimal Base-Stock Level in Assembly lines (조립 생산 시스템에서 최적 Base-Stock 수준)

  • Ko, Sung-Seok;Seo, Dong-Won
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.30 no.3
    • /
    • pp.89-93
    • /
    • 2007
  • In this study, we consider an assembly line operated under a base-stock policy. A product consists of two parts, and a finished product transfers to a warehouse in which demands are satisfied. Assume that demands arrive according to a Poisson process and processing times at each production line are exponentially distributed. Whenever a demand arrives, it is satisfied immediately from an inventory in the warehouse if available; otherwise, it is backlogged and satisfied later by the next product exiting from production lines. In either case, an arriving demand automatically triggers the production of a part at both production lines. These two parts will be assembled into a product that eventually transfers to the warehouse. We obtain a closed form formula of approximation for delay time or lead time distribution of a demand when a base- stock level is s. Moreover, it can be applied to the optimal base-stock level which minimizes the total inventory cost. Numerical examples are presented to show our optimal base-stock level's quality.

Economic Generation Allocation with Power Equation Constraints (모선 전력방정식을 제약조건으로 하는 경제적 발전력 연산방법)

  • Eom, Jae-Seon;Kim, Geon-Jung;Lee, Sang-Jung;Choe, Jang-Heum
    • The Transactions of the Korean Institute of Electrical Engineers A
    • /
    • v.51 no.8
    • /
    • pp.398-402
    • /
    • 2002
  • The ELD computation has been based upon the so-called B-coefficient which uses a quadratic approximation of system loss as a function of generation output. Direct derivation of system loss sensitivity based on the Jacobian-based method was developed in early 1970s', which could eliminate the dependence upon the approximate loss formula. However, both the B-coefficient and the Jacobian-based method require a complicated Procedure for calculating the system loss sensitivity included in the constraints of the optimization problem. In this paper, an ELD formulation in which only the bus power equations are defined as the constraints has been introduced. Derivation of the partial derivatives of the system loss with respect to the generator output and calculation of the penalty factors for individual generators are not required anymore in proposed method. A comprehensive solution procedure including calculation of the Jacobians and Hessians of the formulation has been presented in detail. Proposed ELD formulation has been tested on a sample system and the simulation indicated a satisfactory result.

Harmonic differential quadrature (HDQ) for axisymmetric bending analysis of thin isotropic circular plates

  • Civalek, Omer;Ulker, Mehmet
    • Structural Engineering and Mechanics
    • /
    • v.17 no.1
    • /
    • pp.1-14
    • /
    • 2004
  • Numerical solution to linear bending analysis of circular plates is obtained by the method of harmonic differential quadrature (HDQ). In the method of differential quadrature (DQ), partial space derivatives of a function appearing in a differential equation are approximated by means of a polynomial expressed as the weighted linear sum of the function values at a preselected grid of discrete points. The method of HDQ that was used in the paper proposes a very simple algebraic formula to determine the weighting coefficients required by differential quadrature approximation without restricting the choice of mesh grids. Applying this concept to the governing differential equation of circular plate gives a set of linear simultaneous equations. Bending moments, stresses values in radial and tangential directions and vertical deflections are found for two different types of load. In the present study, the axisymmetric bending behavior is considered. Both the clamped and the simply supported edges are considered as boundary conditions. The obtained results are compared with existing solutions available from analytical and other numerical results such as finite elements and finite differences methods. A comparison between the HDQ results and the finite difference solutions for one example plate problem is also made. The method presented gives accurate results and is computationally efficient.

Discharge Evaluation Program Development of Anti-surge Valve for FPSO Fuel Gas Compressor System (FPSO 연료가스 압축 시스템용 부정류 방지 밸브의 유량 평가 프로그램 개발)

  • Park, Hyung-Wook;Lee, Seung-Min;Cho, Jong-Rae
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.28 no.12
    • /
    • pp.1411-1418
    • /
    • 2011
  • In this study, to avoid surging in the system as a way to ensure the proper discharge requires the design of the valve capacity rating objective is to develop a program. Approximation algorithm for the capacity evaluation is suggested. Loss coefficients obtained by the algorithm is calculated put in the governing equation for the valve flow coefficient and capacity. Calculated values were compared with numerical analysis results for the verifying their validity. The proven formula is created using Excel and it can be easily available the valve design engineers. Creation of analysis models were using a version of Unigraphics NX 4.0, numerical analysis were using a flow analysis commercial program ANSYS CFX 12.0 version. Equations were referenced 'Handbook of Hydraulic Resistance - 3rd Edition'.

Low-complexity de-mapping algorithms for 64-APSK signals

  • Bao, Junwei;Xu, Dazhuan;Zhang, Xiaofei;Luo, Hao
    • ETRI Journal
    • /
    • v.41 no.3
    • /
    • pp.308-315
    • /
    • 2019
  • Due to its high spectrum efficiency, 64-amplitude phase-shift keying (64-APSK) is one of the primary technologies used in deep space communications and digital video broadcasting through satellite-second generation. However, 64-APSK suffers from considerable computational complexity because of the de-mapping method that it employs. In this study, a low-complexity de-mapping method for (4 + 12 + 20 + 28) 64-APSK is proposed in which we take full advantage of the symmetric characteristics of each symbol mapping. Moreover, we map the detected symbol to the first quadrant and then divide the region in this first quadrant into several partitions to simplify the formula. Theoretical analysis shows that the proposed method requires no operation of exponents and logarithms and involves only multiplication, addition, subtraction, and judgment. Simulation results validate that the time consumption is dramatically decreased with limited degradation of bit error rate performance.