• Title/Summary/Keyword: differential correction

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Single variable shear deformation model for bending analysis of thick beams

  • Abdelbari, Salima;Amar, Lemya Hanifi Hachemi;Kaci, Abdelhakim;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.67 no.3
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    • pp.291-300
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    • 2018
  • In this work, a new trigonometry theory of shear deformation is developed for the static analysis of thick isotropic beams. The number of variables used in this theory is identical to that required in the theory of Euler-Bernoulli, sine function is used in the displacement field in terms of the coordinates of the thickness to represent the effects of shear deformation. The advantage of this theory is that shear stresses can be obtained directly from the relationships constitute, while respecting the boundary conditions at the free surface level of the beam. Therefore, this theory avoids the use of shear correction coefficients. The differential equilibrium equations are obtained using the principle of virtual works. A thick isotropic beam is considered, whose numerical study to show the effectiveness of this theory.

Ultra-precision High Numerical Aperture Plastic Objective Lens for Blu-ray Disc Pick-up (블루레이 디스크 픽업용 초정밀 고개구율 플라스틱 대물렌즈)

  • Kim, Boo-Tae;Hyun, Dong-Hoon;Yoo, Kyung-Sun
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.20 no.6
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    • pp.811-816
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    • 2011
  • We develop a plastic object lens for blu-ray disc playing pick-up module as morethan 0.85 numerical aperture in this research. We design plastic object lens for blu-ray disc playing pick-up module's each factor's in balanced and made our designed lens by injection molding. Furthermore, by correction designing in mold-core, we optimization our lens efficiency as world grade; wave front aberration $0.028{\lambda}$. RMS, light axis differential 0.3967arcmin. We can manufacture localized blu-ray disc's pick-up lens's component and by this fact we obtain international competitiveness. The result of this research will be very helpful to develop a single objective lens for 3 different wavelength of laser diodes in playing and recording pick-up module.

Scale-dependent thermal vibration analysis of FG beams having porosities based on DQM

  • Fenjan, Raad M.;Moustafa, Nader M.;Faleh, Nadhim M.
    • Advances in nano research
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    • v.8 no.4
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    • pp.283-292
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    • 2020
  • In the present research, differential quadrature (DQ) method has been utilized for investigating free vibrations of porous functionally graded (FG) micro/nano beams in thermal environments. The exact location of neutral axis in FG material has been assumed where the material properties are described via porosity-dependent power-law functions. A scale factor related to couple stresses has been employed for describing size effect. The formulation of scale-dependent beam has been presented based upon a refined beam theory needless of shear correction factors. The governing equations and the associated boundary conditions have been established via Hamilton's rule and then they are solved implementing DQ method. Several graphs are provided which emphasis on the role of porosity dispersion type, porosity volume, temperature variation, scale factor and FG material index on free vibrational behavior of small scale beams.

A Formulation of the Differential Equation on the Equations of Motion and Dynamic Analysis for the Constrained Multibody Systems (구속된 다물체 시스템에 대한 운동 방정식의 미분 방정식화 및 동역학 해석)

  • 이동찬;이상호;한창수
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.1
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    • pp.154-161
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    • 1997
  • This paper presents the method to eliminate the constraint reaction in the Lagrange multiplier form equation of motion by using a generalized coordinate driveder from the velocity constraint equation. This method introduces a matrix method by considering the m dimensional space spanned by the rows of the constraint jacobian matrix. The orthogonal vectors defining the constraint manifold are projected to null vectors by the tangential vectors defined on the constraint manifold. Therefore the orthogonal projection matrix is defined by the tangential vectors. For correcting the generalized position coordinate, the optimization problem is formulated. And this correction process is analyzed by the quasi Newton method. Finally this method is verified through 3 dimensional vehicle model.

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Realization of DGPS using Mobile Phone and Internet (이동전화와 인터넷을 이용한 DGPS 보정항법 시스템)

  • Ko, Sun-Jun;Won, Jong-Hoon;Park, Hun-Joon;Lee, Ja-Sung
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2359-2361
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    • 2000
  • This paper presents a practical method of realizing Differential GPS(DGPS) using an effective communication link. The DGPS technique is used to correct user's pseudorange measurements with trasmintted correction data from the reference station. An effective communication system is the key element for successful application of the DGPS. In this paper, a practical method for efficient data communication link for DGPS using mobile phone and TCP/IP protocol is presented. Its performance is verified via field test.

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Assessment of Reynolds Stress Turbulence Closures for Separated Flow over Backward-Facing Step (후향계단을 지나는 박리류에 대한 레이놀즈응력 모델의 성능 평가)

  • ;;Oh, Myung-Taek
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.11
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    • pp.3014-3021
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    • 1995
  • This study is carried out in order to evaluate the performances of the Reynolds stress turbulence models such as SSG and GL models in the calculation of separated flow over backward-facing stepp.In addition, two slow return-to-isotropy models, YA and Rotta models combined with rapid part of SSG model are also tested. The finite volume method is used to discretize the governing differential equations, and the power-law scheme is used to approximate the convection terms. The SIMPLE algorithm is used for pressure correction in the governing equations. The results show that SSG model gives the better prediction near the reattachment point than GL model. In cases that the rapid term of SSG model is combined with Rotta and YA slow models, the results show the better predictions of stress components in recirculation zone, but indicate inaccuracy in the predictions of mean velocity.

Average Correction for Differential Column Shortening (평균을 이용한 고층건물의 부등 축소량 보정기법)

  • Park, Sung-Woo;Choi, Se-Woon;Park, Hyo-Sun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.588-591
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    • 2010
  • 건물의 수직부재는 시공 후 시간이 지남에 따라 수축하게 된다. 이러한 현상을 기둥축소 현상이라고 부르며 원인으로는 탄성, 비탄성, 환경적 요인 등 여러 가지가 있다. 각 수직 부재에 걸리는 하중의 종류와 크기, 그리고 처한 환경 등이 다르므로 부재별로 축소량에 차이가 있게 된다. 이로 인하여 건물은 여러 가지 피해를 입게 된다. 이에 따라 수직부재인 기둥과 전단벽의 축소량을 예측하는 연구가 활발히 진행되고 있다. 그러나 예측된 축소량을 보정하는 기법에 관한 연구는 그리 많지 않다. 따라서 본 논문에서는 선행 연구되었던 기존의 부등 축소량 보정 기법의 한계에 대하여 지적하고 새로운 보정기법인 평균을 이용한 부등축소량 보정기법을 제시하였다. 본 논문에서 제시한 보정기법의 효용성을 입증하기 위하여 같은 예제에 대하여 기존의 방법과 본 논문에서 제시한 방법을 이용한 결과들을 비교, 정리하였다.

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AN EFFICIENT SECOND-ORDER NON-ITERATIVE FINITE DIFFERENCE SCHEME FOR HYPERBOLIC TELEGRAPH EQUATIONS

  • Jun, Young-Bae;Hwang, Hong-Taek
    • The Pure and Applied Mathematics
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    • v.17 no.4
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    • pp.289-298
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    • 2010
  • In this paper, we propose a second-order prediction/correction (SPC) domain decomposition method for solving one dimensional linear hyperbolic partial differential equation $u_{tt}+a(x,t)u_t+b(x,t)u=c(x,t)u_{xx}+{\int}(x,t)$. The method can be applied to variable coefficients problems and singular problems. Unconditional stability and error analysis of the method have been carried out. Numerical results support stability and efficiency of the method.

THE PRICING OF VULNERABLE FOREIGN EXCHANGE OPTIONS UNDER A MULTISCALE STOCHASTIC VOLATILITY MODEL

  • MIJIN HA;DONGHYUN KIM;JI-HUN YOON
    • Journal of applied mathematics & informatics
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    • v.41 no.1
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    • pp.33-50
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    • 2023
  • Foreign exchange options are derivative financial instruments that can exchange one currency for another at a prescribed exchange rate on a specified date. In this study, we examine the analytic formulas for vulnerable foreign exchange options based on multi-scale stochastic volatility driven by two diffusion processes: a fast mean-reverting process and a slow mean-reverting process. In particular, we take advantage of the asymptotic analysis and the technique of the Mellin transform on the partial differential equation (PDE) with respect to the option price, to derive approximated prices that are combined with a leading order price and two correction term prices. To verify the price accuracy of the approximated solutions, we utilize the Monte Carlo method. Furthermore, in the numerical experiments, we investigate the behaviors of the vulnerable foreign exchange options prices in terms of model parameters and the sensitivities of the stochastic volatility factors to the option price.

Pulmonary Arteriovenous Malformation and Its Vascular Mimickers

  • Hyoung Nam Lee;Dongho Hyun
    • Korean Journal of Radiology
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    • v.23 no.2
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    • pp.202-217
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    • 2022
  • Pulmonary arteriovenous malformation (AVM) is a congenital vascular disease in which interventional radiologists can play both diagnostic and therapeutic roles in patient management. The diagnosis of pulmonary AVM is simple and can usually be made based on CT images. Endovascular treatment, that is, selective embolization of the pulmonary artery feeding the nidus of the pulmonary AVM, and/or selectively either the nidus or draining vein, has become a first-line treatment with advances in interventional devices. However, some vascular diseases can simulate pulmonary AVMs on CT and pulmonary angiography. This subset can confuse interventional radiologists and referring physicians. Vascular mimickers of pulmonary AVM have not been widely known and described in detail in the literature, although some of these require surgical correction, while others require regular follow-up. This article reviews the clinical and radiologic features of pulmonary AVMs and their mimickers.