• Title/Summary/Keyword: Single beam method

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On the natural frequencies and mode shapes of a uniform multi-span beam carrying multiple point masses

  • Lin, Hsien-Yuan;Tsai, Ying-Chien
    • Structural Engineering and Mechanics
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    • v.21 no.3
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    • pp.351-367
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    • 2005
  • Multi-span beams carrying multiple point masses are widely used in engineering applications, but the literature for free vibration analysis of such structural systems is much less than that of single-span beams. The complexity of analytical expressions should be one of the main reasons for the last phenomenon. The purpose of this paper is to utilize the numerical assembly method (NAM) to determine the exact natural frequencies and mode shapes of a multi-span uniform beam carrying multiple point masses. First, the coefficient matrices for an intermediate pinned support, an intermediate point mass, left-end support and right-end support of a uniform beam are derived. Next, the overall coefficient matrix for the whole structural system is obtained using the numerical assembly technique of the finite element method. Finally, the natural frequencies and the associated mode shapes of the vibrating system are determined by equating the determinant of the last overall coefficient matrix to zero and substituting the corresponding values of integration constants into the related eigenfunctions respectively. The effects of in-span pinned supports and point masses on the free vibration characteristics of the beam are also studied.

Practical Surface Sculpting Method for the Fabrication of Predefined Curved Structures using Focused Ion Beam

  • Kim, Heung-Bae
    • Applied Science and Convergence Technology
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    • v.25 no.5
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    • pp.92-97
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    • 2016
  • Surface erosion using focused ion beam irradiation is the most promising technology for the realization of micro/nanofabrication. However, accurate fabrication of predefined structures is still challenging. This article introduces a single step surface driving method to fabricated predefined curved structures. The previously reported multi step surface driving method (MSDM) has been modified so that a single ion dose profile can be used instead of multiple ion dose profiles. Experimental realization of the method is presented with the fabrication of predefined curved surfaces as well as reference to surface propagation theory. For the purpose of verification, simulations are performed on the basis of a sound mathematical model.

Crack identification in Timoshenko beam under moving mass using RELM

  • Kourehli, Seyed Sina;Ghadimi, Siamak;Ghadimi, Reza
    • Steel and Composite Structures
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    • v.28 no.3
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    • pp.279-288
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    • 2018
  • In this paper, a new method has been proposed to detect crack in beam structures under moving mass using regularized extreme learning machine. For this purpose, frequencies of beam under moving mass used as input to train machine. This data is acquired by the analysis of cracked structure applying the finite element method (FEM). Also, a validation study used for verification of the FEM. To evaluate performance of the presented method, a fixed simply supported beam and two span continuous beam are considered containing single or multi cracks. The obtained results indicated that this method can provide a reliable tool to accurately identify cracks in beam structures under moving mass.

Sweet Spot Search of Array Antenna Beam (Array 안테나 빔의 스위트 스폿 탐색)

  • Eom, Ki-Hwan;Kang, Seong-Ho;Lee, Chang-Young;NamKung, Wook;Hyun, Kyo-Hwan
    • 한국정보통신설비학회:학술대회논문집
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    • 2005.08a
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    • pp.115-119
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    • 2005
  • In this paper, we propose a method that search the sweet spot of array antenna beam, and keep it for fast speed transmission in millimeter wave on single array antenna link. We use TDD(Time Division Duplex) as transfer method, and it transfers the control data of antenna. The proposed method is the modified genetic algorithm which selects a superior initial group through slave-processing in order to resolve the local solution of genetic algorithm. The efficiency of the proposed method is verified by means of simulations with white Gaussian noise and not on single array antenna link.

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Reduction of the Residual Vibrations of a Flexible Cantilever Beam Subjected to a Transient Translation or Rotation Motion (병진 또는 회전하여 위치 이동하는 유연 외팔보의 잔류진동 저감 방법)

  • Shin, Ki-Hong
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.1
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    • pp.3-10
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    • 2008
  • In this paper, the optimal command input is considered in order to minimize the residual vibrations of a flexible cantilever beam when the beam simply changes its position by translation or rotation. Although a cantilever beam has many modes of vibration, it is shown that the consideration of the first mode is sufficient in this case. Thus, the problem becomes a single-degree-of-freedom system subjected to a ground excitation. Two simple methods are proposed to find the optimal command input based on the shock response spectrum (SRS). The first method is the simplest and can be applied to lightly damped cases, and the second method is applicable to more general problems. The second method gives almost the same results as the input shaping method. However the proposed method gives a easier and clearer control strategy.

A study on the lasing characteristics of diode-pumped, single-mode Nd:YVO4 green laser (다이오드 여기 Nd:YVO4 단일모드 녹색광 레이저의 출력 특성 연구)

  • 이용우;이종훈
    • Korean Journal of Optics and Photonics
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    • v.14 no.3
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    • pp.292-297
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    • 2003
  • A diode-pumped single-mode Nd:YV $O_4$ green laser was developed. Frequency doubling of the laser was achieved by using an intracavity KTP generated green beam (532 nm). By comparing the diode laser spectrum with absorption spectrum of the Nd:YV $O_4$ crystal, we found optimal operating temperature of the diode laser. From output power measured for various mirror curvatures and cavity lengths, we found the optimal matching of TE $M_{00}$ mode with the pump beam gives the best efficiency. When the pump power was 1.9 W, 80 ㎽ of TE $M_{00}$ mode green beam was obtained. We tried to get a single longitudinal mode lasing as the fluctuation of the laser power was caused by the shift of longitudinal modes and the beating between the modes. We tested the intracavity etalon method and birefringent filter method for single mode operation. The etalon method resulted in the best single mode output power of 60 ㎽. The power fluctuation of the single-mode laser was reduced to 1/10 of that of the multi-mode laser.

Vibration analysis of a multi-span beam subjected to a moving point force using spectral element method

  • Jeong, Boseop;Kim, Taehyun;Lee, Usik
    • Structural Engineering and Mechanics
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    • v.65 no.3
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    • pp.263-274
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    • 2018
  • In this study, we propose a frequency domain spectral element method (SEM) for the vibration analysis of a multi-span beam subjected to a moving point force. This study is an extension of the authors' previous study for a single-span beam subjected to a moving point force, where the two-element model-based SEM was applied. In this study, each span of a multi-span beam is represented by the Timoshenko beam model and the moving point force is transformed into the frequency domain as a series of each stationary point force distributed on the multi-span beam. The span at which a stationary point force is located is represented by two-element model, but all other spans are represented by one-element models. The vibration responses to a moving point force are obtained by superposing all individual vibration responses generated by each stationary point force. The high accuracy and computational efficiency of the proposed SEM are verified by comparing the solutions by SEM with exact analytical solutions by the integral transform method (ITM) as well as the solutions by the finite element method (FEM).

Purification and Single Crystal Growth of Molybdenum by Electron Beam Floating Zone Melting (Electron Beam Floating Zone Melting에 의한 몰리브덴의 정련 및 단결정 성장에 관한 연구)

  • 최용삼;지응준
    • Korean Journal of Crystallography
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    • v.3 no.2
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    • pp.85-97
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    • 1992
  • EBFZM( Electron Beam Floating Zone Melting) 법을 이용하여 몰리브덴에서의 금속계 불순물과 침입형 불순물의 정련기구 및 단결정 성장기구를 연구하 였다. Fe, Cr, Co등의 금속계 불순물은 몰리브덴과의 평형증기압의 차이에 따른 불순물의 선택적 증발에 의하여 우수한 정련효과를 나타내며, 몰리브덴보다 응점이 높은 Ta, W는 잘 제거되지 않았다. 한편 대역 정제에 의한 정련효과는 미약함을 확인하였다. EBF ZM은 C,0,N등의 침입형 불순물의 정련에도 효과적 이었다. 본 연구의 모든 조건에서 몰리브덴은 단결정으로 성장하였으며 2차 재결정 epitaxy에 의한 단결 정 성장기구가 제시되었다. 몰리브덴 단결정 내의 전 위밀도는 strain-anneal법에 의한 단결정의 경우보다 높았으며,본 실험의 열처리 조건에서는 변화하지 않았다. The purification and single crystal growth mechanisms of molybdenum were analysed in EBFZM ( electron beam floating zone melting). Metallic impurities of Fe, Cr, Co were purified efficiently but Ta and W were not removed well in this study. It was due to a preferential evaporation of the elements caused by the difference in equillibrium vapor pressure between the elements and molybdenum. The pu- rification effect by zone refining was not significant. The EBFZM also refined the interstitial impurities of C, 0 and N, effectively. The single crystals of molybdenum were grown regardless of the experimental conditions and the secondary recrystallization epitaxy was surge sled as a growth mechanism. The dislocation density in single crystal was higher than that by strain-anneal method, and was not reduced by heat treatments.

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Wave Models and Experimental Studies of Beam-plate-beam Coupled Systems for a Mid-frequency Analysis (중주파수 대역 해석을 위한 Beam-plate-beam 연성 구조물의 웨이브 모형 연구와 시험적 규명)

  • Yoo, Ji-Woo;Thompson, D.J.;Ferguson, N.S.
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.2 s.119
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    • pp.121-129
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    • 2007
  • There has been much effort to find suitable methods for structural analysis in the mid-frequency region where traditional low frequency methods have increasing uncertainties whilst statistical energy analysis is not strictly applicable. Systems consisting of relatively stiff beams coupled to flexible plates have a particularly broad mid-frequency region where the beams support only a few modes whilst the plate has a high modal density and modal overlap. A system of two parallel beams coupled to a plate is investigated based on the wave method, which is an approximate method. Muller's method is utilised for obtaining complex roots of a dispersion wave equation, which does not converge in the conventional wave method based on a simple iteration. The wave model is extended from a single-beam-plate system, to a plate with two identical beams which is modelled using a symmetric-antisymmetric technique. The important hypothesis that the coupled beam wavenumber is sufficiently smaller than the plate free wavenumber is experimentally verified. Finally, experimental results such as powers and energy ratios show the validity of the analytical wave models.

Nonlinear vibration analysis of a type of tapered cantilever beams by using an analytical approximate method

  • Sun, Weipeng;Sun, Youhong;Yu, Yongping;Zheng, Shaopeng
    • Structural Engineering and Mechanics
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    • v.59 no.1
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    • pp.1-14
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    • 2016
  • In this paper, an alternative analytical method is presented to evaluate the nonlinear vibration behavior of single and double tapered cantilever beams. The admissible lateral displacement function satisfying the geometric boundary conditions of a single or double tapered cantilever beam is derived by using Rayleigh-Ritz method. Based on the Lagrange method and the Newton Harmonic Balance (NHB) method, analytical approximate solutions in closed and explicit form are obtained. These approximate solutions show excellent agreement with those of numeric method for small as well as large amplitude. Moreover, due to brevity of expressions, the present analytical approximate solutions are convenient to investigate effects of various parameters on the large amplitude vibration response of tapered beams.