• Title/Summary/Keyword: closed-form analysis

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Torsional analysis of heterogeneous magnetic circular cylinder

  • Zenkour, Ashraf M.
    • Steel and Composite Structures
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    • v.17 no.4
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    • pp.535-548
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    • 2014
  • In this paper, the exact closed-form solutions for torsional analysis of heterogeneous magnetostrictive circular cylinder are derived. The cylinder is subjected to the action of a magnetic field produced by a constant longitudinal current density. It is also acted upon by a particular kind of shearing stress at its upper base. The rigidity of the cylinder is graded through its axial direction from one material at the lower base to another material at the upper base. The distributions of circumferential displacement and shear stresses are presented through the radial and axial directions of the cylinder. The influence of the magnetostrictive parameter is discussed. The effects of additional parameters are investigated.

Performance analysis and quality control of serial production lines

  • Han, Man-Soo;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.259-262
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    • 1995
  • In this paper, a model of an asymptotically reliable serial production line with quailty control devices is introduced and analyzed. By an asymptotic technique and Taylor series expansion, its average production rate is approximated in a closed form. The results are applied to a case study of a surface mount system.

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Finite element analysis of welding process in consideration of transformation plasticity in welding (용접에서 발생하는 변태소성을 고려한 용접공정의 유한요소 해석)

  • 임세영
    • Proceedings of the KWS Conference
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    • 2003.05a
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    • pp.210-212
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    • 2003
  • Finite element analysis of welding processes, which entail phase evolution, heat transfer and deformation, is considered in this paper. Attention focuses on numerical implementation of the thermo-elastic-plastic constitutive equation proposed by Leblond et al in consideration of the transformation plasticity. Based upon the multiplicative decomposition of deformation gradient, hyperelastic formulation is employed for efficient numerical integration, and the algorithmic consistent moduli for elastic-plastic deformations including transformation plasticity are obtained in the closed form. The convergence behavior of the present implementation is demonstrated via a couple of numerical example.

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The Analysis and Design of Tree-LDPC codes with EXIT charts (EXIT charts를 이용한 Tree-LDPC 코드의 분석 및 설계)

  • Lee, Sung-Jun;Heo, Jun
    • Proceedings of the IEEK Conference
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    • 2006.06a
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    • pp.1049-1050
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    • 2006
  • In this paper, we present the analysis of Tree-LDPC codes using EXIT(Extrinsic information transfer) charts methods. Two different EXIT charts schemes are compared. One is based on the closed form equation and the other is based on Monte-Carlo simulation. The thresholds by these two schemes match well with the threshold by DE(density evolution) scheme. Simulation performance is also shown with the obtained thresholds.

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Entropy analysis in a cilia transport of nanofluid under the influence of magnetic field

  • Abrar, Muhammad N.;Haq, Rizwan Ul;Awais, Muhammad;Rashid, Irfan
    • Nuclear Engineering and Technology
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    • v.49 no.8
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    • pp.1680-1688
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    • 2017
  • In this study, analysis is performed on entropy generation during cilia transport of water based titanium dioxide nanoparticles in the presence of viscous dissipation. Moreover, thermal heat flux is considered at the surface of a channel with ciliated walls. Mathematical formulation is constructed in the form of nonlinear partial differential equations. Making use of suitable variables, the set of partial differential equations is reduced to coupled nonlinear ordinary differential equations. Closed form exact solutions are obtained for velocity, temperature, and pressure gradient. Graphical illustrations for emerging flow parameters, such as Hartmann number (Ha), Brinkmann number (Br), radiation parameter (Rn), and flow rate, have been prepared in order to capture the physical behavior of these parameters. The main goal (i.e., the minimizing of entropy generation) of the second law of thermodynamics can be achieved by decreasing the magnitude of Br, Ha and ${\Lambda}$ parameters.

Performance Analysis of Space-time Coded MIMO System with Discrete-rate Adaptive Modulation in Ricean Fading Channels

  • Yu, Xiangbin;Rui, Yun;Yin, Xin;Chen, Xiaomin;Li, Mingqi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.6 no.10
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    • pp.2493-2508
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    • 2012
  • The performance of a MIMO system with adaptive modulation (AM) and space-time coding over Ricean fading channels for perfect and imperfect channel state information (CSI) is presented. The fading gain value is partitioned into a number of regions by which the modulation is adapted according to the region the fading gain falls in. Under a target bit error rate (BER) constraint, the switching thresholds for AM are given. Based on these results, we derive the calculation formulae of the theoretical spectrum efficiency (SE) and average BER. As a result, closed-form SE expression and accurate BER expression are respectively obtained. Besides, using the approximation of complementary error function, a tightly closed-form approximation of average BER is also derived to simplify the calculation of accurate theoretical BER. Computer simulation shows that the theoretical SE and BER are in good agreement with the corresponding simulation, and the approximate BER is also close to the accurate one. The results show that the AM scheme in Ricean fading channel provides better SE than that in Rayleigh fading channel due to the direct-path propagation, and has performance degradation in SE and BER for imperfect CSI.

Analytical Solution for the Ultimate Strength of Sandwich Panels under In-plane Compression and Lateral Pressure (조합 하중을 받은 샌드위치 패널의 최종강도 설계식 개발)

  • Kim, Bong Ju
    • Journal of Ocean Engineering and Technology
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    • v.33 no.6
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    • pp.535-546
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    • 2019
  • The paper presents a closed-form analytical solution for the ultimate strength of sandwich panels with metal faces and an elastic isotropic core during combined in-plane compression and lateral pressure under clamped boundary condition. By using the principle of minimum potential energy, the stress distribution in the faces during uni-axial edge compression and constant lateral pressure was obtained. Then, the ultimate edge compression was derived on the basis that collapse occurs when yield has spread from the mid-length of the sides of the face plates to the center of the convex face plates. The results were validated by nonlinear finite element analysis. Because the solution is analytical and closed-form, it is rapid and efficient and is well-suited for use in practical structural design methods, including repetitive use in structural optimization. The solution applies for any elastic isotropic core material, but the application that stimulated this study was an elastomer-cored steel sandwich panel that had excellent energy absorbing and protective properties against fire, collisions, ballistic projectiles, and explosions.

Performance Analysis of Amplify-and-Forward Relaying in Cooperative Networks with Partial Relay Selection (부분 중계노드 선택 기반의 협력 네트워크에서 증폭 후 전송 방식에 대한 성능분석)

  • Hwang, Ho-seon;Ahn, Kyung-seung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.40 no.12
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    • pp.2317-2323
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    • 2015
  • In this paper, we analyze the performance of dual-hop amplify-and-forward (AF) relaying in cooperative networks with partial relay selection. An AF relay gain considered in this paper includes channel-noise-assisted relay gain. Leveraging a received signal-to-noise ratio (SNR) model, we derive exact closed-form expressions for the probability density function (pdf) and cumulative distribution function (cdf) of the end-to-end SNR. Moreover, an exact closed-form expression of the ergodic capacity for dual-hop AF relaying with channel-noise-assisted relay gain and partial relay selection is investigated. The analytical results shown in this paper are confirmed by Monte-Carlo simulations.

Massive MIMO TWO-Hop Relay Systems Over Rician Fading Channels

  • Cao, Jian;Yu, Shujuan;Yang, Jie;Zhang, Yun;Zhao, Shengmei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.11
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    • pp.5410-5426
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    • 2019
  • With the advent of the fifth-generation (5G) era, Massive multiple-input multiple-output (MIMO) relay systems have experienced the rapid development. Recently, the performance analysis models of Massive MIMO relay systems have been proposed, which are mostly based on Rayleigh fading channels. In order to create a more suitable model for 5G Internet of Things scenarios, our study is based on the Rician fading channels, where line-of-sight (LOS) path exists in the channels. In this paper, we assume the channel state information (CSI) is perfect. In this case, we use statistical information to derive the analytical exact closed-form expression for the achievable sum rate of the uplink for the Massive MIMO two-hop relay system over Rician fading channels. Moreover, considering the different communication scenarios, we derive the analytical exact closed-form expression for the achievable sum rates of the uplink for other three scenarios. Finally, based on these expressions, we make simulations and analyze the performance under different transmit powers and Rician-factors, which provides a theoretical basis and reference for further research.

An Analytical Model for Deriving The Threshold Voltage Expression of A Short-gate Length SOI MESFET (Short-gate SOI MESFET의 문턱 전압 표현 식 도출을 위한 해석적 모델)

  • Kal, Jin-Ha;Suh, Chung-Ha
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.45 no.7
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    • pp.9-16
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    • 2008
  • In this paper, a simple analytical model for deriving the threshold voltage of a short-gate SOI MESFET is suggested. Using the iteration method, the Poisson equation in the fully depleted silicon channel and the Laplace equation in the buried oxide region are solved two-dimensionally, Obtained potential distributions in each region are expressed in terms of fifth-order of $\chi$, where $\chi$ denotes the coordinate perpendicular to the silicon channel direction. From them, the bottom channel potential is used to describe the threshold voltage in a closed-form. Simulation results show the dependencies of the threshold voltage on the various device geometry parameters and applied bias voltages.