• Title/Summary/Keyword: superposition

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Finite Element Analysis of Unbalance Response of a High Speed Flexible Polygon Mirror Scanner Motor with Asymmetric Finite Element Equations (비대칭 유한 요소 방정식으로 표현되는 고속 유연 폴리곤 미러 스캐너 모터의 유한 요소 불평형 응답 해석)

  • Seo, Chan-Hee;Jung, Kyung-Moon;Jang, Gun-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.1022-1027
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    • 2007
  • This paper presents a method to analyze the unbalance response of a high speed polygon mirror scanner motor supported by sintered metal bearing and flexible structures by using the finite element method and the mode superposition method considering the asymmetry of the gyroscopic effect and sintered metal bearing. The eigenvalues and eigenvectors are calculated by solving the eigenvalue problem and the adjoint eigenvalue problem by using the restarted Arnoldi iteration method. The decoupled equations of motion can be obtained from global finite element motion equations by using the orthogonal relation between the right eigenvectors and left eigenvectors. The decoupled equations of motion are used to analyze the unbalance response of a high speed polygon mirror scanner motor. The validity of the proposed method is verified by comparing the simulated unbalance response with the experimental results.

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An Analysis of the Redistribution of Residual Stress Due to Crack Propagation Initially Through Residual Tensile Stress Field by Finite Element Method (인장잔류응력장으로부터 피로균열이 전파하는 경우 잔류응력의 재분포거동에 대한 해석적 검토)

  • 김응준;박응준;유승현
    • Journal of Welding and Joining
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    • v.21 no.7
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    • pp.71-77
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    • 2003
  • In this study, an investigation based on the superposition principle to predict residual stress redistribution caused by crack propagation itself initially through residual tensile stress field was performed by finite element method. The tendency in residual stress redistribution caused by crack propagation recognized both from the analytical results and experimental result was the residual stress concentration consecutively occurred in the vicinity of crack tip even the situation that the crack propagated to the region initially residual compressive stress existed. The software for the analysis is ABAQUS, which is a general purpose finite element package. The analytical method that attempt to take the plastic deformation at the crack tip due to tensile residual stress into the consideration of residual stress redistribution caused by crack propagation was proposed. The plastic zone size at the tip of fatigue crack and redistributed residual stresses were calculated by finite element method on the bases of the concept of Dugdale model. Comparing these analytical results with experimental results, it is verified that the residual stress redistribution caused by crack propagation can be predicted by finite element method with the proposed analytical method.

Implementation of the Electric Cauterizer with the Hole for Acupuncture (유침 구멍이 구비된 전기뜸기의 구현)

  • Jo, Bongkwan;He, Yunsheng
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.18 no.3
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    • pp.217-223
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    • 2014
  • Objectives This study is on the implementation of the electric cauterizer with the hole for acupuncture to achieve the superposition effect of acupuncture-moxibustion therapies. Methods In this paper, we especially made a hole across the heat terminal of the electric cauterizer for acupuncture. Before the cauterization, the doctor treats a patient with needle. And after acupuncture, the heat terminal is to be superposed upon the needle along the hole to add the cauterization. Results There are 2 coupling methods that the heat terminal is to be superposed with the needle; one is the top-coupling and the other is side-coupling. The top-coupling means that the heat terminal is to be superposed upon the needle along the top of the needle, and side-coupling means that the heat terminal is to be superposed to the needle along the side of the needle. Conclusion This study was aimed to implement the electric cauterizer with the hole for acupuncture to achieve the superposition effect of acupuncture-moxibustion therapies. Not electric acupuncture but manual acupuncture is adopted. The electric cauterizer generates the heat $38{\sim}45^{\circ}C$. This heat is safe for skin not to burn. The electric cauterizer constitutes the smokeless moxa- pad which effects the skin DDS.

Probing Gamma-ray Emission of Geminga and Vela with Non-stationary Models

  • Chai, Yating;Cheng, Kwong-Sang;Takata, Jumpei
    • Journal of Astronomy and Space Sciences
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    • v.33 no.2
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    • pp.75-92
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    • 2016
  • It is generally believed that the high energy emissions from isolated pulsars are emitted from relativistic electrons/positrons accelerated in outer magnetospheric accelerators (outergaps) via a curvature radiation mechanism, which has a simple exponential cut-off spectrum. However, many gamma-ray pulsars detected by the Fermi LAT (Large Area Telescope) cannot be fitted by simple exponential cut-off spectrum, and instead a sub-exponential is more appropriate. It is proposed that the realistic outergaps are non-stationary, and that the observed spectrum is a superposition of different stationary states that are controlled by the currents injected from the inner and outer boundaries. The Vela and Geminga pulsars have the largest fluxes among all targets observed, which allows us to carry out very detailed phase-resolved spectral analysis. We have divided the Vela and Geminga pulsars into 19 (the off pulse of Vela was not included) and 33 phase bins, respectively. We find that most phase resolved spectra still cannot be fitted by a simple exponential spectrum: in fact, a sub-exponential spectrum is necessary. We conclude that non-stationary states exist even down to the very fine phase bins.

Prediction of Ground Blasting Vibration using Superposition Modeling Data of Single Hole Blasting Waveform (단일공 발파파형 중첩모델링 자료를 이용한 지반 진동의 예측)

  • Kim, Jong-In;Kang, Choo-Won
    • Tunnel and Underground Space
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    • v.17 no.6
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    • pp.484-492
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    • 2007
  • The blasting vibration prediction in the country is mainly carried out by using the scaled distance method. But, this method needs a real-scale test blasting. The blasting vibration prediction has been performed using the data measured at borehole blasting for the purpose of a geological investigation before beginning a construction of a tunnel. In this prediction method, it is difficult to reflect the propagation characteristics of ground vibration generated from a real-scale blasting. propagation. This paper presents a new method for estimating blasting vibration by using superposed data of single hole blasting waveform with a delay time.

Frequency response of rectangular plates with free-edge openings and carlings subjected to point excitation force and enforced displacement at boundaries

  • Cho, Dae Seung;Kim, Byung Hee;Kim, Jin-Hyeong;Vladimir, Nikola;Choi, Tae Muk
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.2
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    • pp.117-126
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    • 2016
  • In this paper, a numerical procedure for the natural vibration analysis of plates with openings and carlings based on the assumed mode method is extended to assess their forced response. Firstly, natural response of plates with openings and carlings is calculated from the eigenvalue equation derived by using Lagrange's equation of motion. Secondly, the mode superposition method is applied to determine frequency response. Mindlin theory is adopted for plate modelling and the effect of openings is taken into account by subtracting their potential and kinetic energies from the corresponding plate energies. Natural and frequency response of plates with openings and carlings subjected to point excitation force and enforced acceleration at boundaries, respectively, is analysed by using developed in-house code. For the validation of the developed method and the code, extensive numerical results, related to plates with different opening shape, carlings and boundary conditions, are compared with numerical data from the relevant literature and with finite element solutions obtained by general finite element tool.

Extension of Direct Displacement-Based Design to Include Higher-Mode Effects in Planar Reinforced Concrete Frame Buildings

  • Abebe, Beka Hailu;Lee, Jong Seh
    • Journal of the Earthquake Engineering Society of Korea
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    • v.22 no.5
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    • pp.299-309
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    • 2018
  • Now that problems with force-based seismic design have been clearly identified, design is inclined toward displacement-based methods. One such widely used method is Direct-Displacement-Based Design (DDBD). Yet, one of the shortcomings of DDBD is considering higher-mode amplification of story shear, moments, and displacements using equations obtained from limited parametric studies of regular planar frames. In this paper, a different approach to account for higher-mode effects is proposed. This approach determines the lateral secant stiffness of the building frames that fulfill the allowable inter-story drift without exceeding the desired story displacements. Using the stiffness, an elastic response spectrum analysis is carried out to determine elastic higher-mode force effects. These force effects are then combined with DDBD-obtained first-mode force effects using the appropriate modal superposition method so that design can be performed. The proposed design procedure is verified using Nonlinear Time History Analysis (NTHA) of twelve planar frames in four categories accounting for mass and stiffness irregularity along the height. In general, the NTHA response outputs compared well with the allowable limits of the performance objective. Thus, it fulfills the aim of minimizing the use of NTHA for planar frame buildings, thereby saving computational resources and effort.

Moir'e fringes generated by the superposition of elongated circular grating and Talbot image and their applications (Elongated Circular Grating의 Talbot 결상을 이용한 무아레 무늬 발생과 응용)

  • Lee, Sang-Il;Jo, jae-Heung;Chang, Soo;Rim, Cheon-Seog
    • Korean Journal of Optics and Photonics
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    • v.12 no.1
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    • pp.25-31
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    • 2001
  • The Talbot effect of an elongated circular (EC) grating composed of a line grating and two semicircular gratings with well matched pitches is experimentally presented. As the relative positions between the fixed EC grating and the moving Talbot image of another EC grating or a self Talbot image are one-dimensionally deformed, we can visually observe moire fringes generated by their superposition. Two examples of their applications, that is, the measurement of the wedged angle of a wedged prism and of the fine rotational angle of a mirror are described.cribed.

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An Analysis of the Fatigue Crack Opening Behaviour in the Welding Residual Stress Field by the Finite Element Method (압축잔류응력장을 전파하는 피로균열의 개구거동의 유한요소법을 이용한 해석적 검토)

  • 박응준;김응준;유승현
    • Journal of Welding and Joining
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    • v.21 no.6
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    • pp.77-83
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    • 2003
  • The finite element analysis was performed for the cracks existing in residual stress fields in order to investigate the effects of configuration of residual stress distribution to the fatigue crack opening behaviour. And the variation of stress distributions adjacent to the crack caused by uploading was examined. The finite element model with contact elements for the crack plane and plane stress elements for the base material and the analytical method based on the superposition principle to estimate crack opening behaviour and the stress distribution adjacent to the crack subjected to uploading were used. The results of the analysis showed that crack opening behaviors and variations of stress distribution caused by uploading were changed depending on the configuration of residual stress distribution. When the crack existed in the region of compressive residual stress and the configuration of compressive residual stress distribution were inclined, a partial crack opening just behind of a crack tip occurred during uploading. Based on the above results, it was clarified that the crack opening behaviour in the residual stress field could be predicted accurately by the finite element analysis using these analytical method and model.

A Proposal of an Analytical Method for Estimating the Opening Behaviour of Tip-Closed Crack in Compressive Residual Stress by Finite Element Method (압축잔류응력에 의하여 선단부가 닫힌 균열의 개구거동에 대한 유한요소법에 의한 해석방법의 제안)

  • 김응준;박응준;유승현
    • Journal of Welding and Joining
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    • v.21 no.6
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    • pp.71-76
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    • 2003
  • For the purpose of clarifying the influence of welding residual stress to the fatigue crack propagations behaviour, an analytical investigation based on finite element method is performed to examine the opening behaviour of tip-closed crack in the compressive residual stress. A finite element model comprised of contact elements for the crack plane and plane stress elements for the base material is used to evaluate crack opening stress of the crack existing in the residual stress field. Also an analytical method based on the superposition principle to estimate the length of opened part of tip closed crack and the stress distribution adjacent to the crack during uploading is applied to the finite element model. The software for the analysis is ABAQUS, which is a general purpose finite element package. The results show that stresses distributed on the crack surfaces are reduced and approached to zero as the applied stresses are increased up to crack tip opening stress and no mechanical discontinuity is found at the boundary of contact elements and plane stress elements. It is verified that the opening behavior of the fatigue crack in the residual stress can be predicted by finite element method with the proposed analytical method.