• Title/Summary/Keyword: conjugate beam

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Reliability analysis-based conjugate map of beams reinforced by ZnO nanoparticles using sinusoidal shear deformation theory

  • Keshtegar, Behrooz;Kolahchi, Reza
    • Steel and Composite Structures
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    • v.28 no.2
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    • pp.195-207
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    • 2018
  • First-order reliability method (FORM) is enhanced based on the search direction using relaxed conjugate reliability (RCR) approach for the embedded nanocomposite beam under buckling failure mode. The RCR method is formulated using discrete conjugate map with a limited scalar factor. A dynamical relaxed factor is proposed to control instability of proposed RCR, which is adjusted using sufficient descent condition. The characteristic of equivalent materials for nanocomposite beam are obtained by micro-electro-mechanical model. The probabilistic model of nanocomposite beam is simulated using the sinusoidal shear deformation theory (SSDT). The beam is subjected to external applied voltage in thickness direction and the surrounding elastic medium is modeled by Pasternak foundation. The governing equations are derived in terms of energy method and Hamilton's principal. Using exact solution, the implicit buckling limit state function of nanocomposite beam is proposed, which is involved various random variables including thickness of beam, length of beam, spring constant of foundation, shear constant of foundation, applied voltage, and volume fraction of ZnO nanoparticles in polymer. The robustness, accuracy and efficiency of proposed RCR method are evaluated for this engineering structural reliability problem. The results demonstrate that proposed RCR method is more accurate and robust than the excising reliability methods-based FORM. The volume fraction of ZnO nanoparticles and the applied voltage are the sensitive variables on the reliable levels of the nanocomposite beams.

Optical Arithmetic Technique Using Optical Phase Conjugate Wave (위상 공액파를 이용한 광학적 연산 방식)

  • 엄순영
    • Proceedings of the Optical Society of Korea Conference
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    • 1990.02a
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    • pp.95-101
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    • 1990
  • Parallel optical arithmetic techniques have been developed using the correlation property of optical phase conjugate wave generated by degenerated four wave-mixing. In this paper, conventional rectangular-type coded pattern used for optical logic system is replaced by circular one for effective beam coupling in a photorefractive $BaTiO_3$ material. By adequately adjusting the distance between circular-type pixels of the input pattern and grouping the correlated output, optical binary half addition/subtraction, binary multiplication and, matrix-matrix computation are demonstrated.

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A Study on the Optical Digital paralle Processor using Phase Conjugate Mirror (위상 공액경을 이용한 광 디지틀 병렬 연산기에 관한 연구)

  • 은재정;최평석
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.9
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    • pp.135-141
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    • 1995
  • An optical digital parallel processor using Self-Pumped Phase Conjugate Mirror and liquid crystal spatial light modulator is presented and experimentally implemented. To use self-pumped PCM as memory, the mechanism for phase conjugation in two coupled interaction regions with the photorefractive crystal BaTiO$_{3}$ is investigated, especially the temporal behavior and effects of incident beam position. The optical design and implementation of matrix-vector multiplication using LCSLM and PCM memory is presented.

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Complex Conjugate Resolved Retinal Imaging by One-micrometer Spectral Domain Optical Coherence Tomography Using an Electro-optical Phase Modulator

  • Fabritius, Tapio E.J.;Makita, Shuichi;Yamanari, Masahiro;Myllyla, Risto A.;Yasuno, Yoshiaki
    • Journal of the Optical Society of Korea
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    • v.15 no.2
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    • pp.111-117
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    • 2011
  • Full-range spectral domain optical coherence tomography (SD-OCT) with a 1-${\mu}m$ band light source is shown here. The phase of the reference beam is continuously stepped while the probing beam scans the sample laterally (B-scan). The two dimensional spectral interferogram obtained is processed by a Fourier transform method to obtain a complex spectrum leading to a full-range OCT image. A detailed mathematical explanation of the complex conjugate resolving method utilized is provided. The system's measurement speed was 7.96 kHz, the measured axial resolution was $9.6{\mu}m$ in air and the maximum sensitivity 99.4 dB. To demonstrate the effect of mirror image elimination, In vivo human eye pathology was measured.

Classes of exact solutions for several static and dynamic problems of non-uniform beams

  • Li, Q.S.
    • Structural Engineering and Mechanics
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    • v.12 no.1
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    • pp.85-100
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    • 2001
  • In this paper, an analytical procedure for solving several static and dynamic problems of non-uniform beams is proposed. It is shown that the governing differential equations for several stability, free vibration and static problems of non-uniform beams can be written in the from of a unified self-conjugate differential equation of the second-order. There are two functions in the unified equation, unlike most previous researches dealing with this problem, one of the functions is selected as an arbitrary expression in this paper, while the other one is expressed as a functional relation with the arbitrary function. Using appropriate functional transformation, the self-conjugate equation is reduced to Bessel's equation or to other solvable ordinary differential equations for several cases that are important in engineering practice. Thus, classes of exact solutions of the self-conjugate equation for several static and dynamic problems are derived. Numerical examples demonstrate that the results calculated by the proposed method and solutions are in good agreement with the corresponding experimental data, and the proposed procedure is a simple, efficient and exact method.

Theoretical study on incoherent triangular holography without bias and conjugate image (바이어스와 공액영상이 제거된 인코히어런트 삼각 홀로그래피에 대한 이론적 연구)

  • Kim, Soo-Gil;Kim, Eun-Soo;Lee, Hyuk;Lee, Byoung-Ho
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.10
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    • pp.144-151
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    • 1996
  • In this paper, the theoretical analysis and the computer simulation of a new modified cochran's triangular interferometer as an incoherent holography, which can eliminate bias and conjugate image problems of the conventional cochran's triangular interferometer, are spresented. In other words, it is theoretically derived by using jones matrix operation that bias and conjugate image can be removed by adding simple optical components including a polarizing beam splitter, wave plates, and linear polarizers to the conventional with a point source, we demonstrated the validity of the suggested method by comparing the modified cocharan's triangular interferometer with the conventional one.

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Dependence of Optical Phase Conjugation on Incident Beam Position and Intensity (입사빔의 위치 및 세기에 따른 자기펌핑 위상공액파의 특성)

  • 손동환;전병욱;이임걸;손정영;임동건
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.30A no.3
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    • pp.43-51
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    • 1993
  • Effects of incident beam position and intensity on self-pumped optical phase conjugation are presented using barium titanate as an optical phase conjugator. Depending on the position of incident beam, the crystal used consists of four major operating regions: irregular pulsing, regular pulsing, stable phase conjugation, and unstable oscillating regions. In the second region, the pulsing frequency and amplitude of phase conjugate beam are proportional to I$_{in}$ and I$_{in}^{0.85}$, respectively, where I$_{in}$ is the incident beam intensity. In the fouth region, the rising time and intensity of the first-generated pulse are proportional to I$_{in}^{0.92}$ and I$_{in}^{0.81}$, respectively. A frequency shift by beam fanning is also discussed by observing interference pattern from an interferometer.

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Performance of a Rectangular Smart Antenna in CDMA Basestation (CDMA 기지국에 설치된 평면 스마트 안테나의 성능 고찰)

  • Hong, Young-Jin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.3C
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    • pp.323-330
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    • 2007
  • Performance indicators such as output SNR, SIR, SINR for rectangular smart antennas in CDMA basestations have been derived. Simulations have been carried out to find the rectangular smart antenna performance while varying the input SNR, number of antenna elements, and the interferers' spatial distributions. Simplified Conjugate Gradient Method was chosen as the underlying beam forming algorithm. It has been shown that the performance of a rectangular smart antenna is similar to that of the linear one having the same number of elements when the interferers are randomly distributed over the whole azimuth angle range.

Integrity Estimation of The RC Members Damaged by Corrosion of Main Rebar (철근이 부식된 철근콘크리트 구조물의 건전도 평가기술)

  • Kwon, Dae Hong;Yoo, Suk Hyeong;Noh, Sam Young
    • KIEAE Journal
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    • v.7 no.4
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    • pp.141-146
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    • 2007
  • It is necessary to guarantee the safety, serviceability and durability of reinforced concrete structures over their service life. However, concrete structures represent a decrease in their durability due to the effects of external environments according to the passage of time, and such degradation in durability can cause structural degradation in materials. In concrete structures, some degradations in durability increase the corrosion of embedded rebars and also decrease the structural performance of materials. Thus, the structural condition assessment of RC materials damaged by corrosion of rebars becomes an important factor that judges needs to apply restoration. In order to detect the damage of reinforced concrete structures, a visual inspection, a nondestructive evaluation method(NDE) and a specific loading test have been employed. However, obscurities for visual inspection and inaccessible members raise difficulty in evaluating structure condition. For these reasons, detection of location and quantification of the damage in structures via structural response have been one of the very important topics in system identification research. The main objective of this project is to develope a methodologies for the damage identification via static responses of the members damaged by durability. Six reinforced concrete beams with variables of corrosion position and corrosion width were fabricated and the damage detections of corroded RC beams were performed by the optimization and the conjugate beam methods using static deflection. In results it is proved that the conjugate beam method could predict the damage of RC members practically.

A Damage Assessment Technique for Bridges Using Conjugate Beam Theory (공액보 방법을 이용한 교량 손상도 평가기법)

  • Choi, Il Yoon;Choi, Eunsoo;Lee, Jun Suk;Cho, Hyo Nam
    • Journal of Korean Society of Steel Construction
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    • v.15 no.6 s.67
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    • pp.603-610
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    • 2003
  • A damage identification technique using static displacement data is developed to asses s the structural integrity of bridge structures.As such, the relationship between static displacement and stiffness is derived, and the optimization technique utilized.Comparisons with numerical and experimental tests are performed to investigate the practical applicability of the proposed method.Various damage scenarios are considered by varying damage-width as well as damage-degree. The influence of noise in identifying the damage is also numerically investigated.Finally, the applicability and limitation of the proposed method are discussed.