• Title/Summary/Keyword: superposition

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Theoretical Calculation of Zero Field Splitting of $Mn^{2+}$ Ion in $LiTaO_3$Crystal

  • Yeom, T.H;Lee, S.H
    • Journal of Magnetics
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    • v.6 no.3
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    • pp.77-79
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    • 2001
  • The semi-empirical superposition model has been applied to calculate the zero field splitting parameters of $Mn^{2+}$ion in $LiTaO_3$ single crystal, assuming that $Mn^{2+}$ion occupies one of two possible sites: $Li^{l+} \;or\; Ta^{5+}$ site, respectively. The 2nd-order axial zero field splitting parameters are $958\times10^{-4}cm^{-1}\; at\; Li^{1+}$ site and $193\times 10^{-4}cm^{-1} \;at\; Ta^{5+}$ site for $Mn^{2+}$ions. The 4th-order zero field splitting parameters at $Li^{l+} \;and\; Ta^{5+}$ sites are also determined. These calculated zero field splitting parameters are very important to determine the substitutional sites of doped impurity ions in $LiTaO_3$ crystal.

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Efficient Dynamic Analysis Using Complex Modal Superposition for Tall Buildings with Viscoelastic Dampers (복소모드중첩법을 이용한 점탄성감쇠기를 가진 고층건물의 효율적인 동적해석)

  • 김진구;홍성일;이경아;이동근
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.4
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    • pp.671-679
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    • 1999
  • 건물의 진동에너지 소산능력을 향상하기 위하여 점탄성감쇠를 설치하게 되면 이른바 비비례 감쇠시스템이 되어 구조물은 복소수형태의 고유모드와 고유치를 가진다. 복소모드중첩법은 이러한 복소모드를 이용하여 중첩함으로써 비비례 감쇠시스템 구조물의 정확한 동적 거동을 얻을 수 있는 방법이다. 그러나 건물이 고층화되면 많은 자유도로 인하여 고유치해석 및 모드중첩과정에서 많은 시간과 노력이 필요하게 된다. 본 논문에서는 효율적인 구조물의 모형화를 위하여 강막가정과 행렬응축기법을 적용하였다. 또한 몇 개의 주요 모드만을 선택하여 중첩하는 방법에 대하여 연구하였으며 구조물의 진동에 영향을 주는 모드의 선택을 위한 복소모드 응답참여계수를 제안하였다. 제안된 해석방법의 정확성과 효율성을 검토하기 위하여 예제 구조물을 대상으로 해석한 결과, 응답의 정확성을 유지하면서 해석에 필요한 시간을 대폭 절감할 수 있었다.

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Dynamic response analysis of generally damped linear system with repeated eigenvalues

  • Yu, Rui-Fang;Zhou, Xi-Yuan;Yuan, Mei-Qiao
    • Structural Engineering and Mechanics
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    • v.42 no.4
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    • pp.449-469
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    • 2012
  • For generally damped linear systems with repeated eigenvalues and defective eigenvectors, this study provides a decomposition method based on residue matrix, which is suitable for engineering applications. Based on this method, a hybrid approach is presented, incorporating the merits of the modal superposition method and the residue matrix decomposition method, which does not need to consider the defective characteristics of the eigenvectors corresponding to repeated eigenvalues. The method derived in this study has clear physical concepts and is easily to be understood and mastered by engineering designers. Furthermore, this study analyzes the applicability of step-by-step methods, including the Newmark beta and Runge-Kutta methods for dynamic response calculation of defective systems. Finally, the implementation procedure of the proposed hybrid approach is illustrated by analyzing numerical examples, and the correctness and the effectiveness of the formula are judged by comparing the results obtained from the different methods.

Numerical Analysis of the Contour Method for Measuring Residual Stresses in Laser Shock Peened Ti-6Al-4V Strips

  • Shin Shang-Hyon
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.3
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    • pp.290-296
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    • 2005
  • The contour method is based on the elastic superposition principle, and relies on deformations that occur when a residually stressed part is cut along a plane. During the cut, the part is constrained at a location along the cut so that deformations are restrained as much as possible. The displacement is applied to an elastic FE model of the half. When plasticity is involved in the relaxation process, the superposition principle is no longer valid, and stress error in the resulting measurement of residual stress would be caused. Residual stress states in a laser peened Ti-6Al-4V strip were taken for the FE simulation.

Dynamic Simulation for High-speed Pantograph and Overhead-line using a Vibration Mode Superposition Method (모드중첩법을 이용한 고속용 팬터그래프와 전차선의 동적 상호작용 시뮬레이션)

  • Cho, Yong-Hyeon;Lee, Ki-Won;Park, Hyun-Jun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.494-497
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    • 2004
  • A dynamic simulation for a high-speed pantograph-overheadline has been performed using mode superposition method to predict contact forces between pantograph and overheadline. We can deal with non-linear dampers of the pantograph and pre-sag of overhead-line for the simulation. But, we can not consider slackness of dropper in the overhead-line. According to the simulation results, the contact forces and displacements are reasonably predicted, compared with other foreign simulation results.

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Influence of explosives distribution on coal fragmentation in top-coal caving mining

  • Liu, Fei;Silva, Jhon;Yang, Shengli;Lv, Huayong;Zhang, Jinwang
    • Geomechanics and Engineering
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    • v.18 no.2
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    • pp.111-119
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    • 2019
  • Due to certain geological characteristics (high thickness, rocky properties), some underground coal mines require the use of explosives. This paper explores the effects of fragmentation of different decks detonated simultaneously in a single borehole with the use of numerical analysis. ANSYS/LS-DYNA code was used for the implementation of the models. The models include an erosion criterion to simulate the cracks generated by the explosion. As expected, the near-borehole area was damaged by compression stresses, while far zones and the free surface of the boundary were subjected to tensile damage. With the increase of the number of decks in the borehole, different changes in the fracture pattern were observed, and the superposition effects of the stress wave became evident, affecting the fragmentation results. The superposition effect is more evident in close distances to the borehole, and its effect attenuates when the distance to the borehole increase.

Acoustic Properties of Rubber Compound for Anechoic Coating

  • Bae, Jong Woo;Kim, Won Ho;Ahn, Byung Hyun
    • Elastomers and Composites
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    • v.53 no.4
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    • pp.195-201
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    • 2018
  • Three kinds of rubber compounds were prepared, and their underwater acoustical properties were investigated for anechoic coating. Dynamic mechanical properties of the rubber compounds were measured using a dynamic mechanical analyzer and extended to 100 kHz using time-temperature superposition. The sound speed, reflection coefficient, and attenuation constant were calculated. Silicone rubber showed the lowest reflection coefficient, and nitrile rubber showed the highest attenuation constant. The acoustic properties of nitrile rubber compounds with various compositions were investigated. The sound speed, reflection coefficient, and transmission coefficient of the nitrile rubber in the frequency range of 200-1000 kHz were measured in a water-filled tank.

Impacts of Non-Uniform Source on BER for SSC NOMA (Part I): Optimal MAP Receiver's Perspective

  • Chung, Kyuhyuk
    • International Journal of Internet, Broadcasting and Communication
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    • v.13 no.4
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    • pp.39-47
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    • 2021
  • Lempel-Ziv coding is one of the most famous source coding schemes. The output of this source coding is usually a non-uniform code, which requires additional source coding, such as arithmetic coding, to reduce a redundancy. However, this additional source code increases complexity and decoding latency. Thus, this paper proposes the optimal maximum a-posteriori (MAP) receiver for non-uniform source non-orthogonal multiple access (NOMA) with symmetric superposition coding (SSC). First, we derive an analytical expression of the bit-error rate (BER) for non-uniform source NOMA with SSC. Then, Monte Carlo simulations demonstrate that the BER of the optimal MAP receiver for the non-uniform source improves slightly, compared to that of the conventional receiver for the uniform source. Moreover, we also show that the BER of an approximate analytical expression is in a good agreement with the BER of Monte Carlo simulation. As a result, the proposed optimal MAP receiver for non-uniform source could be a promising scheme for NOMA with SSC, to reduce complexity and decoding latency due to additional source coding.

Impacts of Non-Uniform Source on BER for SSC NOMA (Part II): Improved BER Performance Analysis

  • Chung, Kyuhyuk
    • International Journal of Internet, Broadcasting and Communication
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    • v.13 no.4
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    • pp.48-54
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    • 2021
  • In most existing researches on non-orthogonal multiple access (NOMA) with symmetric superposition coding (SSC), uniform sources have been usually considered. For the first part in this two-part paper, for the strongest channel gain user, we showed that the bit-error rate (BER) for the optimal maximum a-posteriori (MAP) receiver for the non-uniform source improves slightly, compared to that of the conventional receiver for the uniform sources. We demonstrate that in communication scenarios of the non-uniform source NOMA schemes, for the weakest channel gain user, the BER performance of the optimal MAP receiver for a non-uniform source improves greatly, compared to that of the conventional receiver for uniform sources. We first derive an analytical expression of the BER for non-uniform source NOMA with SSC. Then, simulations demonstrate that the BER of the optimal MAP receiver for the non-uniform source improves, compared with that of the conventional maximum likelihood (ML) receiver for the uniform sources. In result, the proposed optimal MAP receiver for the non-uniform source could be a promising scheme for SSC NOMA, with improved BER performances.

Life-Time Prediction of HNBR Diaphragm in Oil Reservoir (유압구동장치 동력원용 고무 다이아프램 저유기의 수명 예측 연구)

  • Kim, Sol A
    • Journal of Drive and Control
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    • v.18 no.2
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    • pp.32-37
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    • 2021
  • The piston reservoir is mainly used in hydraulic blow-down system for aerospace engineering. The reservoir is heavy due to both hydraulic cylinder and piston in pressurization. The positive expulsion tank with rubber diaphragm has been mostly applied propellant and fuel tank at low pressure to satellites. To reduce weight, the reservoir that can be used at high pressure with rubber diaphragm was developed. In this research, the prediction of life-time for the rubber diaphragm was implemented through an accelerated life test, as a part of development of new reservoir. Also, the diaphragm was stored in an temperature chamber at the same condition as and operation with hydraulic oil. As a result, the life-time for a rubber diaphragm was successfully evaluated via Arrhenius law and Time-Temperature Superposition based on failure times over temperatures in the accelerated test.