• Title/Summary/Keyword: differential combining

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Semi-analytical elastostatic analysis of two-dimensional domains with similar boundaries

  • Deeks, Andrew J.
    • Structural Engineering and Mechanics
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    • v.14 no.1
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    • pp.99-118
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    • 2002
  • The scaled-boundary finite element method is a novel semi-analytical technique, combining the advantages of the finite element and the boundary element methods with unique properties of its own. The method works by weakening the governing differential equations in one coordinate direction through the introduction of shape functions, then solving the weakened equations analytically in the other (radial) coordinate direction. These coordinate directions are defined by the geometry of the domain and a scaling centre. This paper presents a general development of the scaled boundary finite-element method for two-dimensional problems where two boundaries of the solution domain are similar. Unlike three-dimensional and axisymmetric problems of the same type, the use of logarithmic solutions of the weakened differential equations is found to be necessary. The accuracy and efficiency of the procedure is demonstrated through two examples. The first of these examples uses the standard finite element method to provide a comparable solution, while the second combines both solution techniques in a single analysis. One significant application of the new technique is the generation of transition super-elements requiring few degrees of freedom that can connect two regions of vastly different levels of discretisation.

Direct kinematic method for exactly constructing influence lines of forces of statically indeterminate structures

  • Yang, Dixiong;Chen, Guohai;Du, Zongliang
    • Structural Engineering and Mechanics
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    • v.54 no.4
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    • pp.793-807
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    • 2015
  • Constructing the influence lines of forces of statically indeterminate structures is a traditional issue in structural engineering and mechanics. However, the existing kinematic method for establishing these force influence lines is an indirect or mixed approach by combining the force method with the theorem of reciprocal displacements, which is yet inconsistent with the kinematic method for statically determinate structure. This paper proposes the direct kinematic method in conjunction with the load-displacement differential relation for exactly constructing influence lines of reaction and internal forces of indeterminate structures. Firstly, through applying the principle of virtual displacement, the formula for influence lines of reaction and internal forces of indeterminate structure via direct kinematic method is derived based on the released structure. Then, a computational approach with a clear concept and unified procedure as well as wide applicability based on the load-displacement differential relation of beam is suggested to achieve conveniently the closed-form expression of force influence lines, and exactly draw them. Finally, three representative examples for constructing force influence lines of statically indeterminate beams and frame illustrate the superiority of the proposed method.

Adaptive Timing Synchronization Algorithm for WiBro Uplink (WiBro 상향링크를 위한 적응적 시간동기 추정 알고리즘)

  • Kim, Jeong-Been;Jin, Young-Hwan;Kim, Kyung-Soo;Ahn, Jae-Min
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.11A
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    • pp.1068-1075
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    • 2006
  • An adaptive ranging technique for Orthogonal Frequency Division Multiple Access(OFDMA) uplink transmission is proposed for timing synchronization of multiple mobile stations located different distances from a base station. By combining the Timing Phase Compensated Frequency Domain Cross-correlation(TPCFDC) and Frequency Domain Differential Cross-correlation(FDDC), the proposed scheme reduces the number of correlators used in ordinary TPCFDC. Repeated initial ranging attempt with the FDDC in the proposed scheme greatly reduces the hardware implementation complexity. Simulation results for ranging success probability and average ranging attempts count show that the proposed algorithm performs similarly with the ordinary TPCFDC even with the 10 times reduced complexity.

Single Frequency GPS Relative Navigation for Autonomous Rendezvous and Docking Mission of Low-Earth Orbit Cube-Satellites

  • Shim, Hanjoon;Kim, O-Jong;Yu, Sunkyoung;Kee, Changdon;Cho, Dong-Hyun;Kim, Hae-Dong
    • Journal of Positioning, Navigation, and Timing
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    • v.9 no.4
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    • pp.357-366
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    • 2020
  • This paper addressed a relative navigation method for autonomous rendezvous and docking of cube-satellites using single frequency Differential GPS (DGPS) under the intermittent communication between satellites. Since the ionospheric error of GPS measurement is variable depending on the visible satellites, a few meters error of relative navigation is occurred in the Low-Earth Orbit (LEO) environment. Therefore, it is essential to remove the ionospheric error to perform relative navigation. Besides, an intermittent communication period for receiving GPS measurements of the target satellite is limited for getting information every sampling time. To solve this problem, a method combining range domain DGPS and orbit propagation is proposed in this paper. The proposed method improves the performance of DGPS by using Hatch filter and solves an intermittent communication problem by estimating the relative position and velocity using Hill-Clohessy-Wiltshire Equation. Through the simulation, it is verified that the suggested algorithm provides the relative position error within RMS 0.5 m and the relative velocity error within RMS 3 cm/s. Furthermore, it has the advantage that it is suitable for real-time implementation using single-frequency GPS measurements and is computationally efficient.

Performance of Cooperative Networks with Differential Distributed Modulation using Mixed Signaling Scheme (혼합된 신호 방식을 적용한 차등 분산 변조 협력 네트워크의 성능)

  • Cho, Woong
    • The Journal of the Korea institute of electronic communication sciences
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    • v.14 no.6
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    • pp.1061-1068
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    • 2019
  • Cooperative networks transmit signals form the source node to the destination node via several relay node where the combining and demodulation of relay aided signals provide the benefit of performance enhancement and data rate increment. In general, a repetitive manner transmission scheme in which the received signal from the source node is amplified/re-generated and forward to the destination node is widely used. In this paper, we analyzed the performance of cooperative networks using the mixed transmission scheme. The conventional modulation scheme is used in the source-relay links, and space-time code is applied in the relay-destination links. To reduce the complexity of the overall system, we adopt differential modulation which bypasses channel state information. We analyze bit error rate (BER) of the proposed system by considering the number of relay nodes, and the performances depending on the strength of transmission signal in the source-relays and rely-destination links are compared. In addition, we also discuss the system performance with the signal strength and the number of relay nodes simultaneously.

Design of a Phase Splitter(2.4[GHz]) using Differential Amplifier (자동증폭기를 이용한 위상분상기(Phase Splitter) 설계)

  • Roh, Hee-Jung;Seo, Choon-Weon
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.22 no.6
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    • pp.14-17
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    • 2008
  • This paper describes the simulation of a phase splitter for the design of Chireix Outphasing power amplifier. Phase splitter separate the input signal with $0[^{\circ}]$ into the signal with $+90[^{\circ}]$ and $-90[^{\circ}]$ Chireix Outphasing power amplifier get a linearized output from the signal amplifying and combining the separated signal with the phase of $+90[^{\circ}]$ and $-90[^{\circ}]$ of the phase splitter. phase splitter is the core device when designing Chireix Outphasing power amplifier. It is very difficult to design phase splitter with the difference of $90[^{\circ}]$. This phase splitter is used to design the difference of $180[^{\circ}]((90[^{\circ}]+{\alpha}),\;-(90[^{\circ}])+{\alpha}))$ using simulation tool and a differential amplifier.

Analytical approximate solution for Initial post-buckling behavior of pipes in oil and gas wells

  • Yu, Yongping;Sun, Youhong;Han, Yucen
    • Coupled systems mechanics
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    • v.1 no.2
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    • pp.155-163
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    • 2012
  • This paper presents analytical approximate solutions for the initial post-buckling deformation of the pipes in oil and gas wells. The governing differential equation with sinusoidal nonlinearity can be reduced to form a third-order-polynomial nonlinear equation, by coupling of the well-known Maclaurin series expansion and orthogonal Chebyshev polynomials. Analytical approximations to the resulting boundary condition problem are established by combining the Newton's method with the method of harmonic balance. The linearization is performed prior to proceeding with harmonic balancing thus resulting in a set of linear algebraic equations instead of one of non-linear algebraic equations, unlike the classical method of harmonic balance. We are hence able to establish analytical approximate solutions. The approximate formulae for load along axis, and periodic solution are established for derivative of the helix angle at the end of the pipe. Illustrative examples are selected and compared to "reference" solution obtained by the shooting method to substantiate the accuracy and correctness of the approximate analytical approach.

Cytologic Features of Intracranial Germ Cell Tumors in Crush Preparation (두개내 악성 생식세포종양의 압착도말 세포학적 소견)

  • Yim, Hyun-Ee;Kim, Jung-Sun;Shim, Chul
    • The Korean Journal of Cytopathology
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    • v.7 no.2
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    • pp.177-184
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    • 1996
  • Intraoperative cytologic examination of intracranial tumors using crush preparation provides useful information in operative decision making. The diminutive nature of many biopsy specimens, particularly those obtained by stereotactic neurosurgical procedures emphasizes the importance of combining the cytologic smear method with conventional frozen section interpretation. The great advantage of the cytologic smear method resides in its suitability for the study of minute fragments of tissue, allowing retention of the majority of the specimen for optimal processing. We present the cytologic features of 3 cases of intracranial germ cell tumors(2 germinomas and 1 endodermal sinus tumor), using crush preparation during intraoperative diagnosis and compare them with histologic findings. The cytologic features of the germ cell tumors were similar to those of the respective gonadal counterparts. The cytologic differential diagnosis of both types of germ cell tumors is described.

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A HYBRID SCHEME USING LU DECOMPOSITION AND PROJECTION MATRIX FOR DYNAMIC ANALYSIS OF CONSTRAINED MULTIBODY SYSTEMS

  • Yoo, W.S.;Kim, S.H.;Kim, O.J.
    • International Journal of Automotive Technology
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    • v.2 no.3
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    • pp.117-122
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    • 2001
  • For a dynamic analysis of a constrained multibody system, it is necessary to have a routine for satisfying kinematic constraints. LU decomposition scheme, which is used to divide coordinates into dependent and independent coordinates, is efficient but has great difficulty near the singular configuration. Other method such as the projection matrix, which is more stable near a singular configuration, takes longer simulation time due to the large amount of calculation for decomposition. In this paper, the row space and the null space of the Jacobian matrix are proposed by using the pseudo-inverse method and the projection matrix. The equations of the motion of a system are replaced with independent acceleration components using the null space of the Jacobian matrix. Also a new hybrid method is proposed, combining the LU decomposition and the projection matrix. The proposed hybrid method has following advantages. (1) The simulation efficiency is preserved by the LU method during the simulation. (2) The accuracy of the solution is also achieved by the projection method near the singular configuration.

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Kinetic Study of the Lipase-Catalyzed Interesterification of Triolein and Stearic Acid in Nonpolar Media

  • Chi, Young-Min
    • BMB Reports
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    • v.30 no.1
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    • pp.7-12
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    • 1997
  • The kinetics of the interesterification of triolein and stearic acid catalyzed by immobilized Rhizopus delemar lipase were studied in a batch operation. In order to clarify the mechanisms of this reaction, three models are discussed under various conditions in terms of the ratio of triolein and stearic acid. The rate constants involved in the proposed model were determined by combining the numerical Gauss-elemination method, and the trial-and-error method so as to fit the calculated results with the experimental data. The accuracy of the obtained rate constants was confirmed after they were substituted for simultaneous differential equations and the equations simulated using an adaptive step-size Runge-Kutta method. Finally, the model which agrees with the calculated results and the experimental data was selected.

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