• Title/Summary/Keyword: Zigzag Method

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Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity

  • Hussain, Muzamal;Naeem, Muhammad Nawaz;Tounsi, Abdelouahed;Taj, Muhammad
    • Advances in nano research
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    • v.7 no.6
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    • pp.431-442
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    • 2019
  • Vibration analysis of carbon nanotubes (CNTs) is very essential field owing to their many promising applications in tiny instruments. In current study, the Eringen's nonlocal elasticity theory with clamped-clamped and clamped-free end conditions is utilized for the vibration analysis of armchair and zigzag SWCNTs. The Fourier method is utilized to solve the ordinary differential equation. The motion equation for this system is developed using a novel wave propagation method. Complex exponential functions have been used and the axial model depends on BCs that has been described at the edges of CNTs. The behavior of different nonlocal parameters is considered to find the vibrational frequency of SWCNTs. It is exhibited that the effect of frequencies against aspect ratio by varying the bending rigidity. It has been investigated that by increasing the nonlocal parameter decreases the frequencies and on increasing the aspect ratio increases the frequencies for both the tubes. To generate the fundamental natural frequencies of SWCNTs, computer software MATLAB engaged. The numerical results are validated with existing open text. Since the percentage of error is negligible, the model has been concluded as valid.

Energy equivalent model in analysis of postbuckling of imperfect carbon nanotubes resting on nonlinear elastic foundation

  • Mohamed, Nazira;Eltaher, Mohamed A.;Mohamed, Salwa A.;Seddek, Laila F.
    • Structural Engineering and Mechanics
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    • v.70 no.6
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    • pp.737-750
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    • 2019
  • This paper investigates the static and dynamic behaviors of imperfect single walled carbon nanotube (SWCNT) modeled as a beam structure by using energy-equivalent model (EEM), for the first time. Based on EEM Young's modulus and Poisson's ratio for zigzag (n, 0), and armchair (n, n) carbon nanotubes (CNTs) are presented as functions of orientation and force constants. Nonlinear Euler-Bernoulli assumptions are proposed considering mid-plane stretching to exhibit a large deformation and a small strain. To simulate the interaction of CNTs with the surrounding elastic medium, nonlinear elastic foundation with cubic nonlinearity and shearing layer are employed. The equation governed the motion of curved CNTs is a nonlinear integropartial-differential equation. It is derived in terms of only the lateral displacement. The nonlinear integro-differential equation that governs the buckling of CNT is numerically solved using the differential integral quadrature method (DIQM) and Newton's method. The linear vibration problem around the static configurations is discretized using DIQM and then is solved as a linear eigenvalue problem. Numerical results are depicted to illustrate the influence of chirality angle and imperfection amplitude on static response, buckling load and dynamic behaviors of armchair and zigzag CNTs. Both, clamped-clamped (C-C) and simply supported (SS-SS) boundary conditions are examined. This model is helpful especially in mechanical design of NEMS manufactured from CNTs.

Hybrid Power Filter for the Zero Sequence Harmonics Reduction in Neutral Line (중성선 영상 고조파 전류 저감을 위한 하이브리드 전력 필터)

  • Ji, Young-Hyok;Park, Sang-Hoon;Kim, Jae-Hyung;Won, Chung-Yuen;Song, Sang-Hoon
    • Proceedings of the KIPE Conference
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    • 2008.06a
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    • pp.472-474
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    • 2008
  • According to the development of power switching device technology, the power conversion system is used from the small electric power units to the large industrial instruments. These instruments are operated as harmonic sources in the grid and the harmonics cause zero sequence harmonics in the neutral line. To reduce zero sequence harmonics, the zigzag transformer is used conventionally. But the zigzag transformer can reduce only 60~70% of harmonics. In this paper, hybrid power filter for zero sequence harmonics reduction and the harmonic detection method are proposed.

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Stability and vibration analysis of composite plates using spline finite strips with higher-order shear deformation

  • Akhras, G.;Li, W.
    • Structural Engineering and Mechanics
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    • v.27 no.1
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    • pp.1-16
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    • 2007
  • In the present study, a spline finite strip with higher-order shear deformation is formulated for the stability and free vibration analysis of composite plates. The analysis is conducted based on Reddy's third-order shear deformation theory, Touratier's "Sine" model, Afaq's exponential model and Cho's higher-order zigzag laminate theory. Consequently, the shear correction coefficients are not required in the analysis, and an improved accuracy for thick laminates is achieved. The numerical results, based on different shear deformation theories, are presented in comparison with the three-dimensional elasticity solutions. The effects of length-to-thickness ratio, fibre orientation, and boundary conditions on the critical buckling loads and natural frequencies are investigated through numerical examples.

Harmonic Reduction of Diode Rectifiers by a New Zero-Sequence Current Injection Method (새로운 영상전류 주입법에 의한 다이오드 정류기의 고조파 저감)

  • 김현정;장민수;최세완;원충연;김규식
    • The Transactions of the Korean Institute of Power Electronics
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    • v.7 no.6
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    • pp.596-603
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    • 2002
  • In this paper a new harmonic reduction method of three-phase diode rectifiers is proposed to improve input current performance using the zero-sequence harmonics injection technique. The proposed mothed, based on the third-harmonic injection, employs two half-bridge inverters and two single-phase transformers to independently shape the positive and negative dc rail currents of the diode rectifier. The actively shaped zero-sequence harmonic currents are t]ten circulated through the ac side of the rectifier using a zigzag transformer This results in pure sinusoidal input currents in the three-phase diode rectifier. Experimental results on a 1.5kVA prototype are provided to validate the proposed technique.

The maneuvering characteristics of the research vessel NARA equipped with the azimuth thruster system (Azimuth thruster 시스템을 장착한 나라호의 조종성)

  • KIM, Jung-Chang;KANG, Il-Kwon;LEE, Jun-Ho;HAM, Sang-Jun;PARK, Chi-Wan;KIM, Su-Hyeng
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.53 no.3
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    • pp.276-285
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    • 2017
  • The research vessel NARA equipped with an azimuth thruster system was built in 2015. There are few vessels with this propulsion system in Korea. This vessel has two modes such as the normal for maneuvering and the power for investigation, and the other two modes as one axis and two axes on the operating. This type of vessels does not seem to have a clear grasp of the maneuvering character in comparison with the vessel with a conventional propulsion system. So the authors carried out the sea test for the turning, the zigzag and the inclination, and the results are as follows. In turning test, the case of using the two axes mode is much better than the case of using the one axis mode for the elements of turning, such as advance, transfer, tactical diameter and final diameter, but turning hard over the rudder in full speed is very vulnerable to capsize in both modes. In zigzag test, the yaw quicking responsibility index, T is very large excessively, which means a bad counter maneuvering ability, so an operator has to keep in mind that in turning operation. If necessary to avoid collision at head on situation, it may be a more effective method to use the crash astern stop than the turning according to the conditions and circumstances for the shortest stopping distance is very short.

Design of acoustic meta-material silencer based on coiled up space (지그재그 구조 메타물질을 이용한 음향 소음기 설계)

  • Shim, Ki-Hwoon;Jang, Jun-Young;Kwon, Ho-Jin;Song, Kyungjun
    • The Journal of the Acoustical Society of Korea
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    • v.40 no.1
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    • pp.31-37
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    • 2021
  • In this paper, we design an acoustic meta-material silencer that operates at low frequency to reduce noise in duct. A high refractive index meta-material silencer is demonstrated with a combination of zigzag structured thin waveguide and helmholtz resonator, which reduces the speed of sound. Finite Element Method (FEM) analysis via thermo-viscous acoustic mesh is performed in order to calculate thermo-viscous dissipation in sub-wavelength waveguide. Sound power reflection, transmission and absorption coefficients are obtained utilizing 4-Microphone Method. The results show that cut-off frequency and transmission loss can be controlled through adjusting intervals of the zigzag structures. A wide-band acoustic silencer is also suggested by connecting meta-materials in series or parallel.

Immediate Constituent and Technics of Lingerie in the late20C - Focused on Slip, Knickers, Cami-Knicker - (20세기 후기 란제리의 구성 및 제작기법 - 슬립, 니커, 캐미 니커를 중심으로 -)

  • Kim Jee-Yeon;Chun Hei-Jung
    • Journal of the Korean Society of Costume
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    • v.55 no.6 s.96
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    • pp.109-124
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    • 2005
  • The object of this study was to identify the production technique and immediate constituent of lingerie by examining the materials and the sewing techniques. Various papers are referenced for theoretical study and the elements and techniques of lingerie are analyzed based on photographical materials. From the late 20C century to the present time was the research time period. This paper concludes as follows: 1 Decorative method: Lace, Ribbons, piping, elastic bands were some of the decorative materials attached to the garments by zigzag stitch. 2. Flat pattern making: Lingerie patterns were drafted in smaller size than the patterns of outer garments. Bias cut would be applied for the noll-stretchable fabrics. 3. Draping: Bias grain would be applied for the non-stretch fabric. When draping stretch fabrics, follow the grain line of the fabrics and pull the fabric so that it could fit onto the body. 4. Production technique: Straight stitch would be applied for non-stretch fabrics. Zigzag stitch would be applied for stretch fabrics.

A Numerical Study on the Maneuverability of a Twin-Screw LNG Carrier under Single Propeller Failure (쌍축 추진 LNG선의 단독 추진기 고장 상태에서의 조종성능에 대한 수치적 연구)

  • You, Youngjun;Choi, Jinwoo
    • Journal of the Society of Naval Architects of Korea
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    • v.54 no.3
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    • pp.204-214
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    • 2017
  • Recently, ship owners have been requiring the assessment of the maneuverability of a twin-screw ship under machinery failures. In this paper, we are only focused on the propulsion failure among propulsion failure, power supply failure, steering system failure etc. First of all, the mathematical model for the twin-screw 174K LNGC is verified by comparing the simulated results for $35^{\circ}$ turning test, $10^{\circ}/10^{\circ}$ zigzag test and $20^{\circ}/20^{\circ}$ zigzag test under normal operating condition and those obtained from free running model tests. And, sea trial results of 216K LNGC under single propeller failure are compared with those of 174K LNGC under identical condition to verify the proposed method to predict maneuverability under single propeller failure. After the straight line maneuver is simulated under the single propeller failure, the speed and equilibrated heading and rudder deflection angles at steady state are predicted. After the IMO maneuvering tests are simulated under the single propeller failure, the results are reviewed to investigate the maneuvering characteristics due to the failure.

Buckling and free vibration analysis of FG-CNTRC-micro sandwich plate

  • Kolahdouzan, Farzad;Arani, Ali Ghorbanpour;Abdollahian, Mohammad
    • Steel and Composite Structures
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    • v.26 no.3
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    • pp.273-287
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    • 2018
  • Buckling and free vibration analysis of sandwich micro plate (SMP) integrated with piezoelectric layers embedded in orthotropic Pasternak are investigated in this paper. The refined Zigzag theory (RZT) is taken into consideration to model the SMP. Four different types of functionally graded (FG) distribution through the thickness of the SMP core layer which is reinforced with single-wall carbon nanotubes (SWCNTs) are considered. The modified couple stress theory (MCST) is employed to capture the effects of small scale effects. The sandwich structure is exposed to a two dimensional magnetic field and also, piezoelectric layers are subjected to external applied voltages. In order to obtain governing equation, energy method as well as Hamilton's principle is applied. Based on an analytical solution the critical buckling loads and natural frequency are obtained. The effects of volume fraction of carbon nanotubes (CNTs), different distributions of CNTs, foundation stiffness parameters, magnetic and electric fields, small scale parameter and the thickness of piezoelectric layers on the both critical buckling loads and natural frequency of the SMP are examined. The obtained results demonstrate that the effects of volume fraction of CNTs play an important role in analyzing buckling and free vibration behavior of the SMP. Furthermore, the effects of magnetic and electric fields are remarkable on the mechanical responses of the system and cannot be neglected.