• Title/Summary/Keyword: fundamental domain

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Dynamic analysis of water storage tank with rigid block at bottom

  • Adhikary, Ranjan;Mandal, Kalyan Kumar
    • Ocean Systems Engineering
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    • v.8 no.1
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    • pp.57-77
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    • 2018
  • The present paper deals with the finite element analysis of water tanks with rigid baffle. Fluid is discretized by two dimensional eight-node isoparametric elements and the governing equation is simulated by pressure based formulation to reduce the degrees of freedom in the domain. Both free vibration and force vibration analysis are carried out for different sizes and positions of block at tank bottom. The fundamental frequency depends on block height and it reduces with the increase of block height. The variation of hydrodynamic pressure on tank walls not only depends of the exciting frequency but also on the size and position of rigid block at tank bottom. The hydrodynamic pressure has higher value when the exciting frequency is equal and lower than the fundamental frequency of the water in the tank. Similarly, the hydrodynamic pressure increases with the increase of width of the block for all exciting frequencies when the block is at the centre of tank. The left and right walls of tank have experienced different hydrodynamic pressure when the block is placed at off-centre. However, the increase in hydrodynamic pressure on nearest tank wall becomes insignificant after a certain value of the distance between the wall and the rigid block.

Low Frequency Current Reduction using a Quasi-Notch Filter operated in Two-Stage DC-DC-AC Grid-Connected Systems (Quasi-Notch Filter를 이용한 DC-DC-AC 계통연계형 단상 인버터에서의 저주파 전류 감소 기법)

  • Jung, Hong-Ju;Kim, Rae-Young
    • The Transactions of the Korean Institute of Power Electronics
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    • v.19 no.3
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    • pp.276-282
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    • 2014
  • In a single-phase grid-connected power system consisting of a dc-dc converter and a dc-ac converter, the current drawn from renewable energy sources has a tendency to be pulsated and contains double-fundamental frequency ripple components, which results in several drawback such as a power harvesting loss and a shortening of the energy source's life. This paper presents a new double-fundamental current reduction-scheme with a fast dc-link voltage loop for two-stage dc-dc-ac grid connected systems. In the frequency domain, an adequate control design is performed based on the small-signal transfer function of a two-stage dc-dc-ac converter. To verify the effectiveness of proposed control algorithm, a 1 kW hardware prototype has been built and experimental results are presented.

Application of Semi-infinite Boundary Element Method for Tunnel Vibration Analysis (터널 진동해석을 위한 반무한 경계요소법의 적용)

  • 김문겸;이종우;전제성
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1994.04a
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    • pp.128-136
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    • 1994
  • In this study, dynamic boundary element method using mass matrix is derived, using fundamental solutions for the semi-infinite domain. In constituting boundary integral equations for the dynamic equilibrium condition, inertia term in the form of domain integral is transformed into boundary integral form. Corresponding system equations are derived, and a boundary element program is developed. In addition, equations for free vibration is formulated, and eigenvalue analysis is performed. The results from the dynamic boundary element analysis for a tunnel problem are compared with those from the finite element analysis. According to the comparison, boundary element method using mass matrix is consistent with the results of finite element method. Consequently, in tunnel vibration problems, it results in reasonable solution compared with other methods where relatively higher degree of freedoms are employed.

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Acoustic Diagnosis of a Pump by Using Neural Network

  • Lee, Sin-Young
    • Journal of Mechanical Science and Technology
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    • v.20 no.12
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    • pp.2079-2086
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    • 2006
  • A fundamental study for developing a fault diagnosis system of a pump is performed by using neural network. Acoustic signals were obtained and converted to frequency domain for normal products and artificially deformed products. The neural network model used in this study was 3-layer type composed of input, hidden, and output layer. The normalized amplitudes at the multiples of real driving frequency were chosen as units of input layer. And the codes of pump malfunctions were selected as units of output layer. Various sets of teach signals made from original data by eliminating some random cases were used in the training. The average errors were approximately proportional to the number of untaught data. Neural network trained by acoustic signals can detect malfunction or diagnose fault of a given machine from the results.

SOME RESULTS ON D-ADMISSIBLE (Є, Є Vq)-Fuzzy SUBGROUPS

  • Kim, Dae-Sig
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.4
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    • pp.723-730
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    • 2004
  • The definition of a D-admissible fuzzy subset for an operator domain D on a group G is modified to obtain new kinds of (${\in},\;{\in}\;{\vee}q$)-fuzzy subgroups such as an (${\in},\;{\in}\;{\vee}q$)-fuzzy normal subgroup, an (<${\in},\;{\in}\;{\vee}q$)-fuzzy characteristic subgroup, an (<${\in},\;{\in}\;{\vee}q$)-fuzzy fully invariant subgroup which are invariant under D. As results, some of the fundamental properties of such (${\in},\;{\in}\;{\vee}q$)-fuzzy subgroups are obtained.

ON SURJECTIVITY OF m-ACCRETIVE OPERATORS IN BANACH SPACES

  • Han, Song-Ho;Kim, Myeong-Hwan;Park, Jong An.
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.203-209
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    • 1989
  • Recently many authors [2,3,5,6] proved the existence of zeros of accretive operators and estimated the range of m-accretive operators or compact perturbations of m-accretive operators more sharply. Their results could be obtained from differential equations in Banach spaces or iteration methods or Leray-Schauder degree theory. On the other hand Kirk and Schonberg [9] used the domain invariance theorem of Deimling [3] to prove some general minimum principles for continuous accretive operators. Kirk and Schonberg [10] also obtained the range of m-accretive operators (multi-valued and without any continuity assumption) and the implications of an equivalent boundary conditions. Their fundamental tool of proofs is based on a precise analysis of the orbit of resolvents of m-accretive operator at a specified point in its domain. In this paper we obtain a sufficient condition for m-accretive operators to have a zero. From this we derive Theorem 1 of Kirk and Schonberg [10] and some results of Morales [12, 13] and Torrejon[15]. And we further generalize Theorem 5 of Browder [1] by using Theorem 3 of Kirk and Schonberg [10].

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Enhanced least square complex frequency method for operational modal analysis of noisy data

  • Akrami, V.;Zamani, S. Majid
    • Earthquakes and Structures
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    • v.15 no.3
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    • pp.263-273
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    • 2018
  • Operational modal analysis is being widely used in aerospace, mechanical and civil engineering. Common research fields include optimal design and rehabilitation under dynamic loads, structural health monitoring, modification and control of dynamic response and analytical model updating. In many practical cases, influence of noise contamination in the recorded data makes it difficult to identify the modal parameters accurately. In this paper, an improved frequency domain method called Enhanced Least Square Complex Frequency (eLSCF) is developed to extract modal parameters from noisy recorded data. The proposed method makes the use of pre-defined approximate mode shape vectors to refine the cross-power spectral density matrix and extract fundamental frequency for the mode of interest. The efficiency of the proposed method is illustrated using an example five story shear frame loaded by random excitation and different noise signals.

Dynamic Analysis of 3-D Rigid Foundations by Boundary Elements (강성기초의 3차원 동적 경계요소해석)

  • Lee, Chan Woo;Kim, Moon Kyum;Hwang, Hak Joo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.5
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    • pp.53-65
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    • 1993
  • In this work the dynamic response of 3-D arbitrarily shaped rigid massless foundation is numerically obtained using boundary element under non-relaxed boundary condition. The problem is formulated in time domain by the boundary element method. The fundamental solutions used in this work are the Stokes solutions of the three dimensional elastodynamics. This method has advantages over frequency domain techniques in that it provides in a natural and direct way the time history of the response and forms the basis for elct:ension to nonlinear problems. This work is verified and can be used for practical purpose.

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Vertical Vibration Analysis of Single Pile-Soil Interaction System Considering the Interface Spring (접합면 스프링요소를 고려한 단말뚝-지반 상호작용계의 수직진동해석)

  • 김민규;김문겸;이종세
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.09a
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    • pp.106-113
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    • 2002
  • In this study, a numerical analysis method for soil-pile interaction in frequency domain problem is presented. The total soil-pile interaction system is divided into two parts so called near field and far field. In the near field, beam elements are used for a pile and plain strain finite elements for soil. In the far field, dynamic fundamental solution for multi-layered half planes based on boundary element formulation is adopted for soil. These two fields are coupled using FE-BE coupling technique In order to verify the proposed soil-pile interaction analysis, the dynamic responses of pile on multi-layered half planes are simulated and the results are compared with the experimental results. Also, the dynamic response analyses of interface spring elements are performed. As a result, less spring stiffness makes the natural frequency decrease and the resonant amplitude increase.

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Active noise control algorithm for quasi-periodic noise (준주기적인 소음을 저감하기 위한 능동 소음제어 알고리즘)

  • Lee, Nokhaeng;Park, Youngjin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.710-711
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    • 2014
  • In many cases, periodic noise occurs because most applications include motors, compressors and so on which have reciprocating motion. The noise usually contains tones at the fundamental frequency and at several higher harmonic frequencies in practice. For this type of noise, we developed a frequency-domain active noise control algorithm and determined that it's effective. However, the performance deteriorated for quasi-periodic noise. In this paper, we develop compensated frequency-domain active noise control algorithm for quasi-periodicity. And then, we implement computer simulation and compare the performance.

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