• Title/Summary/Keyword: spectrum and point spectrum

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CONTROLLABILITY FOR SEMILINEAR CONTROL SYSTEMS WITH ISOLATED SPECTRUM POINTS

  • JEONG JIN-MUN
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.557-567
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    • 2006
  • This paper proves the invariability of reachable sets for the linear control system with positive isolated spectrum points in case where the principal operator generates $C_0-semigroup$ and derives the approximate controllability for the semilinear control system by using spectral operators with respect to isolated spectrum points.

Fatigue life estimation using the multi-axial multi-point Load Counting method under Variable Amplitude Loading (가변진폭하중에서 다축-다점 하중 Counting method를 이용한 피로수명평가)

  • 이원석;이현우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.913-920
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    • 1996
  • In this study, the counting method for multi-axial and multi-point load states was proposed. Using this counting method, the load spectrum is generated from the service load history which is measured for boom structure of excavator. Loading state for loading points of boom structure is described as a multi-dimensional state space. From this load spectrum, the stress spectrum was generated by FEM analysis using the superposition of the unit load. The cumulated damage at the severe damage point of In nm structure by the failure example is calculated by Palmgren-Miner's rule. As a result of this study, the fatigue life estimation using the multi-axial and multi-point load counting method is useful.

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Isolation and Characterization of Alliin From Garlic Bulbs (마늘중 Alliin의 분리 및 그 특성규명에 관한 연구)

  • Han, In-Ja;Lee, Mie-Soon;Chung, Ki-Yong
    • Applied Biological Chemistry
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    • v.16 no.1
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    • pp.12-17
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    • 1973
  • Alliin was isolated from deep-frozen garlic bulbs and purified into crystalline form. Purity of isolated alliin was assured by melting point determination and thin-layer chromatography. Sulfoxide bond and functional groups of amino acid were confirmed with IR spectrum, and vinyl bond with NMR spectrum. Molecular weight, allyl and other bonds were confirmed with MS spectrum.

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A study on Optimization of Reference Spectrum for Improvement of Fixture Performance in Random Vibration Control (랜덤진동제어에서 치구성능향상을 위한 기준스펙트럼의 최적화에 대한 연구)

  • 김준엽;정의봉
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.1
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    • pp.284-291
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    • 1995
  • This paper proposes a method for determination of optimal reference spectrum in random vibration control. The least square method is used to minimize the spectrum deviation between the specified reference spectrum and spectra at the specimen-mounted points. This method needs only the measured FRF's at the control point and specimen-mounted points in pre-vibration test. Using the proposed method as reference spectrum, it is possible to easily predict spectra at the specimen-mounted points, and also to reduce overtest resulting from dynamic characteristics of shaker and fixture. This method is shown through theoretical and experimental results to be an effective method.

Propose of Capacity Spectrum Method by Nonlinear Earthquake Response Analysis (질점계 비선형 지진응답해석에 의한 구조물의 역량스펙트럼 제안)

  • You, Jin-Sun;Yang, Won-Jik;Yi, Waon-Ho;Kim, Hyoung-Joon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.6
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    • pp.501-508
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    • 2014
  • In this paper, a method on deducing the capacity spectrum based on nonlinear earthquake response analysis will be introduced. Damage assessment of general building draws the capacity spectrum through the Push-over analysis and the intersection point of capacity spectrum and demand spectrum is seen as performance point. Push-over analysis is the way to perform static analysis by using the equivalent static load changed from the effect of earthquake and predict the behavior of structures by earthquake. But, this method can not be taken into account in the effects of higher mode and the dynamic characteristic. Therefore, in order to calculate the capacity spectrum under dynamic properties of building. A capacity spectrum from going ahead with the nonlinear earthquake response analysis is suggested.

Development of Stochastic Seismic Performance Evaluation Method for Structural Performance Point Based on Capacity Spectrum Method (역량스펙트럼법을 통한 구조물 성능점의 확률적 기반 내진성능평가기법 개발)

  • Choi, Insub;Jang, Jisang;Kim, JunHee
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.30 no.6
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    • pp.523-530
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    • 2017
  • In this study, a method of probabilistic evaluation of the performance point of the structure obtained by capacity spectrum method (CSM) is presented. The performance point of the 4-story and 1-bay steel structure was determined by using CSM according to ATC-40. In order to analyze whether the demand spectrums exceed the performance limit of the structure, the limit displacements are derived for the performance limit of the structure defined from the plastic deformation angle of the structural member. In addition, by selecting a total of 30 artificial seismic wave having the response spectrum similar to the design response spectrum, the fragility curves were derived by examining whether the response spectrum obtained from the artificial seismic wave were exceeded each performance limit according to the spectral acceleration. The maximum likelihood method was used to derive the fragility curve using observed excess probabilities. It has been confirmed that there exists a probability that the response acceleration value of the design response spectrum corresponding to each performance limit exceeds the performance limit. This method has a merit that the stochastic evaluation can be performed considering the uncertainty of the seismic waves with respect to the performance point of the structure, and the analysis time can be shortened because the incremental dynamic analysis (IDA) is not necessary.

A study on determination of target displacement of RC frames using PSV spectrum and energy-balance concept

  • Ucar, Taner;Merter, Onur;Duzgun, Mustafa
    • Structural Engineering and Mechanics
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    • v.41 no.6
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    • pp.759-773
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    • 2012
  • The objective of this paper is to present an energy-based method for calculating target displacement of RC structures. The method, which uses the Newmark-Hall pseudo-velocity spectrum, is called the "Pseudo-velocity Spectrum (PSVS) Method". The method is based on the energy balance concept that uses the equality of energy demand and energy capacity of the structure. First, nonlinear static analyses are performed for five, eight and ten-story RC frame structures and pushover curves are obtained. Then the pushover curves are converted to energy capacity diagrams. Seven strong ground motions that were recorded at different soil sites in Turkey are used to obtain the pseudo-acceleration and the pseudo-velocity response spectra. Later, the response spectra are idealised with the Newmark-Hall approximation. Afterwards, energy demands for the RC structures are calculated using the idealised pseudo-velocity spectrum. The displacements, obtained from the energy capacity diagrams that fit to the energy demand values of the RC structures, are accepted as the energy-based performance point of the structures. Consequently, the target displacement values determined from the PSVS Method are checked using the displacement-based successive approach in the Turkish Seismic Design Code. The results show that the target displacements of RC frame structures obtained from the PSVS Method are very close to the values calculated by the approach given in the Turkish Seismic Design Code.

A Study on Mathematical Creativity Task (수학적 창의성 과제에 대한 고찰)

  • Kim, Boo-Yoon;Lee, Ji-Sung
    • The Mathematical Education
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    • v.48 no.4
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    • pp.443-454
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    • 2009
  • This study reviewed the notion and strategies of mathematical creativity from two point of view, mathematics and creativity. By these reviews, the spectrum was presented as frame of mathematical creativity task. Creativity and mathematics were seen as polar opposites and mathematical creativity task fit clearly at various points in this spectrum. Some focused on the quantity of ideas and originality from creative point of view. On the other hand, some focused on reasoning, insight, and generalization from mathematical point of view. The tasks on the spectrum were served as the vehicle of mathematical creativity and mathematics classroom. Therefore, there were some specific suggestions that mathematics classroom could be made a place where students and teachers would be able to foster their mathematical creativity.

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A Study on the Pitch Alteration Technique by Subband Scaling in Speech Signal (서브밴드 스케일링에 의한 음성신호의 피치변경법에 관한 연구)

  • Kim, Young-Kyu;Bae, Myung-Jin
    • Speech Sciences
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    • v.10 no.4
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    • pp.137-147
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    • 2003
  • Speech synthesis can classify by synthesis way, that is waveform coding, source coding and mixture coding. Specially, waveform coding is suitable for high quality synthesis. However, it is not desirable by synthesis techniques of syllable or phoneme unit because it do not separate and handles excitation and formant part. Therefore, there is a need for pitch alteration method applied in synthesis by the rule in waveform coding. This study propose about pitch alteration method that use spectrum scaling after do to flatten spectra by subband linear approximation to minimize spectrum distortion. This paper show evaluation whether show excellency of some measure compared with LPC, Cepstrum, lifter function and method that propose. estimation method seeks distribution of each flattened signal and measured degree of flattened spectra Signal flattened is normalized, So that highest point amounts to zero, and distribution of signal ,whose average is zero, is calculated. this show result that measure the spectrum distortion rate to estimate performance of method that propose. The average spectrum distortion rate was kept below the average 2.12%, so the method that propose is superiors than existent method.

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Modeling of the Spatial Structures for Dynamic Analysis and Evaluation of Performance Point Based on Capacity Spectrum Method (동적해석을 위한 대공간 구조물의 모델링 및 능력스펙트럼법에 의한 성능점 산정)

  • Kan, Eun-Young;Lee, Sang-Ju;Han, Sang-Eul
    • Proceeding of KASS Symposium
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    • 2006.05a
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    • pp.49-57
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    • 2006
  • Performance based seismic design is a very efficient method in evaluating the seismic capacity of building. In this study, the method estimating the performance point of the spatial structures based on capacity spectrum method(CSM) is proposed. And for efficient evaluation for the performance point of the spatial structures, the algorithm to convert spatial structural system to ESDOF system is proposed. Its efficiency is confirmed by comparing with time history analysis of full model. And dynamic behaviors of spatial structures are examined by using this method. At last, evaluation of structural performance according to variation of stiffness after plastic deformation is carried out.

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