• 제목/요약/키워드: square method

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Performance Improvement of a Modified Perturbation Method via a Least Square Approach for Sensor Arrays

  • Chang, Byong-Kun
    • The Journal of the Acoustical Society of Korea
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    • 제18권4E호
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    • pp.37-42
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    • 1999
  • This paper concerns a modified perturbation method and a least square approach to synthesize an optimum beam pattern of a thinned sensor array with respect to element spacing. In the modified perturbation, the antenna spacing is perturbed iteratively such that the sidelobes are equalized via a linear programming approach. The least square approach is proposed to improve the array performance for the thinned array using the fact that the number of sidelobes is more than the number of element spacings. It is demonstrated that the least square approach performs better than the modified perturbation method.

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SIZE OPTIMIATION OF AN ENGINE ROOM MEMBER FOR CRASHWORTHINESS USING RESPONSE SURFACE METHOD

  • Oh, S.;Ye, B.W.;Sin, H.C.
    • International Journal of Automotive Technology
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    • 제8권1호
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    • pp.93-102
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    • 2007
  • The frontal crash optimization of an engine room member using the response surface method was studied. The engine room member is composed of the front side member and the sub-frame. The thicknesses of the panels on the front side member and the sub-frame were selected as the design variables. The purpose of the optimization was to reduce the weight of the structure, under the constraint that the objective quantity of crash energy is absorbed. The response surface method was used to approximate the crash behavior in mathematical form for optimization procedure. To research the effect of the regression method, two different methodologies were used in constructing the response surface model, the least square method and the moving least square method. The optimum with the two methods was verified by the simulation result. The precision of the surrogate model affected the optimal design. The moving least square method showed better approximation than the least square method. In addition to the deterministic optimization, the reliability-based design optimization using the response surface method was executed to examine the effect of uncertainties in design variables. The requirement for reliability made the optimal structure be heavier than the result of the deterministic optimization. Compared with the deterministic optimum, the optimal design using the reliability-based design optimization showed higher crash energy absorption and little probability of failure in achieving the objective.

SQUARE QUADRATIC PROXIMAL METHOD FOR NONLINEAR COMPLIMENTARITY PROBLEMS

  • Bnouhachem, Abdellah;Ou-yassine, Ali
    • 대한수학회논문집
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    • 제34권2호
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    • pp.671-684
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    • 2019
  • In this paper, we propose a new interior point method for solving nonlinear complementarity problems. In this method, we use a new profitable searching direction and instead of using the logarithmic quadratic term, we use a square root quadratic term. We prove the global convergence of the proposed method under the assumption that F is monotone. Some preliminary computational results are given to illustrate the efficiency of the proposed method.

LEAST-SQUARE SWITCHING PROCESS FOR ACCURATE AND EFFICIENT GRADIENT ESTIMATION ON UNSTRUCTURED GRID

  • SEO, SEUNGPYO;LEE, CHANGSOO;KIM, EUNSA;YUNE, KYEOL;KIM, CHONGAM
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제24권1호
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    • pp.1-22
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    • 2020
  • An accurate and efficient gradient estimation method on unstructured grid is presented by proposing a switching process between two Least-Square methods. Diverse test cases show that the gradient estimation by Least-Square methods exhibit better characteristics compared to Green-Gauss approach. Based on the investigation, switching between the two Least-Square methods, whose merit complements each other, is pursued. The condition number of the Least-Square matrix is adopted as the switching criterion, because it shows clear correlation with the gradient error, and it can be easily calculated from the geometric information of the grid. To illustrate switching process on general grid, condition number is analyzed using stencil vectors and trigonometric relations. Then, the threshold of switching criterion is established. Finally, the capability of Switching Weighted Least-Square method is demonstrated through various two- and three-dimensional applications.

완관절(腕關節) 결정종(結節腫)에 대한 배담(排痰)·양자침구치료(揚刺鍼灸治療)의 임상적(臨床的) 관찰(觀察) (Clinical Study on Wrist Ganglion by Newly Transformed Centro-Square Acupuncture·Moxibustion)

  • 김기현
    • Journal of Acupuncture Research
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    • 제17권4호
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    • pp.113-119
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    • 2000
  • Objectives : Wrist ganglion is one of the most common diseases on the wrist joint. So far acupuncture, medication, drainage and local anesthetic excision therapy have been used for this disease, but the development of more effective treatment method is being expected because of frequent recurrence and side effect. Considered that most ganglion is polycystic, on the basis of classic centro-square acupuncture, newly transformed centro-square acupuncture was applied to this report. Methods : All the patients with wrist ganglion was divided into two groups. Newly transformed centro-square acupuncture was app(ied to one group composed of 11 patients and classic centro-square acupuncture to the other group with 19 patients. Classic centro-square acupuncture is made up of slanting and straight insertion. the former is a method that tips of 4 needles are inserted from the outersurface of wrist ganglion oriented to the center of the ganglion, the latter is that tip of one needle is inserted on the center of the ganglion straightly. In the newly transformed centro-square acupuncture, straight insertion of dry needle was taken place of by syringe needle in order to drain phlegm. In this report, classic and newly transformed centro-square acupuncture were used somewhat differently from original ones. Moxibustion was applied after removing all the needles. In newly transformed centro-square acupuncture, moxibustion was also applied after drainage of phlegm and slanting insertion. Results : 1. Wrist ganglion was frequently developed around the acupoint of Tae-Yeon(Tai Yuan, LU9) and Yang-Ji(Yang Chi, TE4) and the difference between occurrence of development on the left and right hand had no significancy. 2. The mean number of treatment for recovery : The newly transformed centro-square acupuncture had fewer treatment than classic one. 3. The newly transformed centro-square acupuncture was more effective than classic one. 4. As a result of following up 6 to 72 months after wrist ganglion had been eliminated, there was no recurrence. Conclusion : In the treatment of wrist ganglion, newly transformed centro-square acupuncture can be regarded as more useful method in the clinical practice, because it has comparatiely shorter duration of treatment and is more effective.

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Buckling analysis of nanocomposite cut out plate using domain decomposition method and orthogonal polynomials

  • Jamali, M.;Shojaee, T.;Kolahchi, R.;Mohammadi, B.
    • Steel and Composite Structures
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    • 제22권3호
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    • pp.691-712
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    • 2016
  • In this editorial, buckling analytical investigation of the nanocomposite plate with square cut out reinforced by carbon nanotubes (CNTs) surrounded by Pasternak foundation is considered. The plate is presumed has square cut out in center and resting on Pasternak foundation. CNTs are used as amplifier in plate for diverse distribution, such as uniform distribution (UD) and three patterns of functionally graded (FG) distribution types of CNTs (FG-X, FG-A and FG-O). Moreover, the effective mechanical properties of nanocomposite plate are calculated from the rule of mixture. Domain decomposition method and orthogonal polynomials are applied in order to define the shape function of nanocomposite plate with square cut out. Finally, Rayleigh-Ritz energy method is used to obtain critical buckling load of system. A detailed parametric study is conducted to explicit the effects of the dimensions of plate, length of square cut out, different distribution of CNTs, elastic medium and volume fraction of CNTs. It is found from results that increase the dimensions of plate and length of square cut out have negative impact on buckling behavior of system but considering CNTs in plate has positive influence.

Optimization of Thinned Antenna Arrays using a Least Square Method

  • Chang Byong Kun;Dae Jeon Chang
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 1999년도 학술발표대회 논문집 제18권 2호
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    • pp.165-168
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    • 1999
  • This paper concerns a least square approach to optimizing a thinned antenna array with respect to antenna spacing to improve the sidelobe performance. A least square method based on a modified version of the modified perturbation method is proposed to efficiently synthesize an optimum pattern in a thinned array. It is demonstrated that the array performance improves with the proposed method, compared with the conventional method.

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IV 방법을 이용한 잡음이 포함된 베어링 실험 장치의 동특성 파라미터 추출 (An Application of the Instrumental Variable Method(IVM) to a Parameter Identification of a Noise Contaminated Bearing Test Rig)

  • 이용복;김창호;최동훈
    • 소음진동
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    • 제6권5호
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    • pp.679-684
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    • 1996
  • The Instrumental Variable Method(IVM), modified from least square algorithm, is applied to parameter identification of a noise contaminated bearing test rig. The signal to noise ratio included in Frequency Response Function(FRF) can cause significant errors in parameter identification. Therefore, among several candidates of parameter identification method, results of the applied IVM were compared with noise-contaminated least square method. This study shows that the noise-contaminated least square method can have indonsistent accuracy depending on the degree of noise level, while the IVM has robuster performance to signal to noise ratio than least square method.

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Sensorless Control of IPMSM with a Simplified High-Frequency Square Wave Injection Method

  • Alaei, Ahmadreza;Lee, Dong-Hee;Ahn, Jin-Woo;Saghaeian Nejad, Sayed Morteza
    • Journal of Electrical Engineering and Technology
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    • 제13권4호
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    • pp.1515-1527
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    • 2018
  • This paper presents a sensorless speed control of IPMSM (Interior Permanent Magnet Synchronous Motor) using the high-frequency (HF) square wave injection method. In the proposed HF pulsating square wave injection method, injection voltage is applied into the estimated d-axis of rotor and high-frequency induced q-axis current is considered to estimate the rotor position. Conventional square wave injection methods may need complex demodulation process to find rotor position, while in the proposed method, an easy demodulation process based on the rising-falling edge of the injected voltage and carrier induced q-axis current is implemented, which needs less processing time and improves control bandwidth. Unlike some saliency-based sensorless methods, the proposed method uses maximum torque per ampere (MTPA) strategy, instead of zero d-axis command current strategy, to improve control performance. Furthermore, this paper directly uses resultant d-axis current to detect the magnet polarity and eliminates the need to add an extra pulse injection for magnet polarity detection. As experimental results show, the proposed method can quickly find initial rotor position and MTPA strategy helps to improve the control performance. The effectiveness of the proposed method and all theoretical concepts are verified by mathematical equations, simulation, and experimental tests.

RLS(Recursive Least Square)를 이용한 전압안정도 지수 평가 (Estimation of Voltage Instability Index Using RLS(Recursive Least Square))

  • 전웅재;이병준
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 추계학술대회 논문집 전력기술부문
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    • pp.279-281
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    • 2006
  • A Voltage Instability Predictor(VIP) estimates the proximity of a power system to voltage collapse in real time. Voltage Instability Index(Z-index) from VIP algorithm is estimated using LS(Least Square) method. But this method has oscillations and noise of result due to the system's changing conditions. To suppress oscillations, a larger data window needs to be used. In this paper. I propose the new other method which improves that weakness. It uses RLS(Recursive Least Square) to estimate voltage instability index without a large moving data window so this method is suitable for on-line monitor and control in real time. In order to verify effectiveness of the algorithm using RLS method, the method is tested on HydroQuebec system in real time digital simulator(HYPERSIM).

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