• Title/Summary/Keyword: Form error

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A CONSISTENT DISCONTINUOUS BUBBLE SCHEME FOR ELLIPTIC PROBLEMS WITH INTERFACE JUMPS

  • KWONG, IN;JO, WANGHYUN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.24 no.2
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    • pp.143-159
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    • 2020
  • We propose a consistent numerical method for elliptic interface problems with nonhomogeneous jumps. We modify the discontinuous bubble immersed finite element method (DB-IFEM) introduced in (Chang et al. 2011), by adding a consistency term to the bilinear form. We prove optimal error estimates in L2 and energy like norm for this new scheme. One of the important technique in this proof is the Bramble-Hilbert type of interpolation error estimate for discontinuous functions. We believe this is a first time to deal with interpolation error estimate for discontinuous functions. Numerical examples with various interfaces are provided. We observe optimal convergence rates for all the examples, while the performance of early DB-IFEM deteriorates for some examples. Thus, the modification of the bilinear form is meaningful to enhance the performance.

An Exact Closed-Form Expression for Bit Error Rate of Decode-and-Forward Relaying Using Selection Combining over Rayleigh Fading Channels

  • Bao, Vo Nguyen Quoe;Kong, Hyung-Yun
    • Journal of Communications and Networks
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    • v.11 no.5
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    • pp.480-488
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    • 2009
  • Cooperative transmission is an effective solution to improve the performance of wireless communications over fading channels without the need for physical co-located antenna arrays. In this paper, selection combining is used at the destination instead of maximal ratio combing to optimize the structure of destination and to reduce power consumption in selective decode-and-forward relaying networks. For an arbitrary number of relays, an exact and closed-form expression of the bit error rate (BER) is derived for M-PAM, M-QAM, and M-PSK, respectively, in both independent identically distributed and independent but not identically distributed Rayleigh fading channels. A variety of simulations are performed and show that they match exactly with analytic ones. In addition, our results show that the optimum number of relays depend not only on channel conditions (operating SNRs) but also on modulation schemes which to be used.

The effects of scaling factors and quantization in sensors on free motion of teleoperation system

  • Hwang, Dal-Yeon;Cho, SangKyu;Park, Sanguk
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1512-1515
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    • 1997
  • One of the advantages of master-slave teleoperation is scaling concept such as position scaling, force scaling Meanuhile, lots of quantization effects are generated from position and force sensors in the master and slave manipulator. In this paper, to show the output error caused by the quantizaion effects from the position sensor and position scaling factor, simulation is done for free motion without contact in slave side. Transfer functiion model in which the quantization effect is assumed to be a disturbance input to the system is derived. Model shows that Jacobian, scaling factors, and controller affect the output by quantization effects form esnsors. One dof master and slave are used for simulation. In our study, the higher sensor resolution decreases the output error form quantization. Scaling factors can amplify the quantizatiion effects form the sensors in master and slave manipulators.

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Bit Error Probability Analysis for MPSK Modulation in the Suzuki Fading Channel (Suzuki 페이딩 채널에서 MPSK 변조 방식의 비트 오류 확률 분석)

  • 박태준;하구용
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.6
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    • pp.1075-1084
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    • 1994
  • In this paper we derive a closed-form approximate expression for the bit error probability of the MPSK modulation with diversity reception in the Suzuki fading channel which is a mixture of short term and long term fading. We showed that the proposed approximate expression was capable of efficient computation compared to the existing integral-form expression, and gives an quantitative insight how much the channel parameters degrade the system performance. Further more it is shown that an appropriate transmission power control is beneficial to the system through consideration of the approximate expression.

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Form Error Compensation of Aspheric lens considering Thermal Deformation on Glass Molding Press ( I ) (Glass Lens 가압성형의 열 변형에 의한 비구면 Lens 형상보정 ( I ))

  • Lee, Hak-Suk;Lee, Dong-Kil;Park, Jong-Rak;Kim, Hye-Jung;Kim, Jung-Ho
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2008.11a
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    • pp.354-354
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    • 2008
  • Recently, due to the tremendous growth of media technology, demands of the aspheric glass lens which is a high-performance and miniaturized is gradually increasing. Generally, the aspheric glass lens is manufactured by GMP(Grass Molding Press) method using WC(tungsten carbide) mold core. In this study, the thermal deformation which occurs in the cooling step of GMP was considered, and it was compensated the form of mold core. The lens which was molded by compensated mold core was satisfied that can be applied to the actual specifications.

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Closed Form Expression of Cutting Forces and Tool Deflection in End Milling Using Fourier Series (푸리에 급수를 이용한 엔드밀링 절삭력 및 공구변형 표현)

  • Ryu, Shi-Hyoung
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.9 s.186
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    • pp.76-83
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    • 2006
  • Machining accuracy is closely related with tool deflection induced by cutting forces. In this research, cutting forces and tool deflection in end milling are expressed as a closed form of tool rotational angle and cutting conditions. The discrete cutting fores caused by periodic tool entry and exit are represented as a continuous function using the Fourier series expansion. Tool deflection is predicted by direct integration of the distributed loads on cutting edges. Cutting conditions, tool geometry, run-outs and the stiffness of tool clamping part are considered together far cutting forces and tool deflection estimation. Compared with numerical methods, the presented method has advantages in prediction time reduction and the effects of feeding and run-outs on cutting forces and tool deflection can be analyzed quantitatively. This research can be effectively used in real time machining error estimation and cutting condition selection for error minimization since the form accuracy is easily predicted from tool deflection curve.

A New Form of Nondestructive Strength-Estimating Statistical Models Accounting for Uncertainty of Model and Aging Effect of Concrete

  • Hong, Kee-Jeung;Kim, Jee-Sang
    • Journal of the Korean Society for Nondestructive Testing
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    • v.29 no.3
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    • pp.230-234
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    • 2009
  • As concrete ages, the surrounding environment is expected to have growing influences on the concrete. As all the impacts of the environment cannot be considered in the strength-estimating model of a nondestructive concrete test, the increase in concrete age leads to growing uncertainty in the strength-estimating model. Therefore, the variation of the model error increases. It is necessary to include those impacts in the probability model of concrete strength attained from the nondestructive tests so as to build a more accurate reliability model for structural performance evaluation. This paper reviews and categorizes the existing strength-estimating statistical models of nondestructive concrete test, and suggests a new form of the strength-estimating statistical models to properly reflect the model uncertainty due to aging of the concrete. This new form of the statistical models will lay foundation for more accurate structural performance evaluation.

Hybrid Linear Closed-Form Solution in Wireless Localization

  • Cho, Seong Yun
    • ETRI Journal
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    • v.37 no.3
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    • pp.533-540
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    • 2015
  • In wireless localization, several linear closed-form solution (LCS) methods have been investigated as a direct result of the drawbacks that plague the existing iterative methods, such as the local minimum problem and heavy computational burden. Among the known LCS methods, both the direct solution method and the difference of squared range measurements method are considered in this paper. These LCS methods do not have any of the aforementioned problems that occur in the existing iterative methods. However, each LCS method does have its own individual error property. In this paper, a hybrid LCS method is presented to reduce these errors. The hybrid LCS method integrates the two aforementioned LCS methods by using two check points that give important information on the probability of occurrence of each LCS's individual error. The results of several Monte Carlo simulations show that the proposed method has a good performance. The solutions provided by the proposed method are accurate and reliable. The solutions do not have serious errors such as those that occur in the conventional standalone LCS and iterative methods.

A Study on the Effect of the Sensor Gain Error in the Precision Measurement of Straightness Error Using Mixed Sequential Two-Probe Method (혼합축차이점법을 이용한 진직도 정밀측정에 있어서 센서 게인오차의 영향에 관한 연구)

  • Jeong, Ji Hun;Oh, Jeong Seok;Kihm, Gyungho;Park, Chun Hong
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.6
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    • pp.607-614
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    • 2013
  • In this study, effect of the sensor gain error is theoretically analyzed and simulated when mixed sequential two-prove method(MTPM) is applied for the precision measurement of straightness error of a linear motion table. According to the theoretical analysis, difference of the gain errors between two displacement sensors increases measurement error dramatically and alignment error of the straightedge is also amplified by the sensor gain difference. On the other hand, if the gain errors of the two sensors are identical, most of error terms are cancelled out and the alignment error doesn't give any influence on the measurement error. Also the measurement error of the straightness error is minimized compared with that of the straightedge's form error owing to close relationship between straightness error and angular motion error of the table in the error terms.

A Research of Mock-up evaluation of Permanent Form in site (비탈형 영구거푸집의 시공성능 평가에 관한 연구)

  • 김형남;김우재;김성식;김영희;정상진
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10b
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    • pp.906-911
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    • 1998
  • This study is about an application of permanent form to the field. The present problem of this country's building market in the face of 3D, in addition to construction cost increase, materials lack problems and opening a building market to foreign countries, is trying to find out the efficient ways of overcoming these problems. So the efficacy of form work to technical improvement will contribute a practical permanent form in field through scientific test of the design and construction of permanent form. According to the result of these experiments, they seemed to be a permissible error range of Permanent form ± 5mm and steel reinforcing of Permanent form seemed to be ±5mm. a modification of Permanent form is superior to any wooden form.

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