• 제목/요약/키워드: Step Change in Cross-Section

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Natural Frequencies of Beams with Step Change in Cross-Section

  • Kim, Yong-Cheul;Nam, Alexander-V.
    • 한국해양공학회지
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    • 제18권2호
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    • pp.46-51
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    • 2004
  • Natural frequencies of the transverse vibration of beams with step change in cross-section are obtained by using the asymptotic closed form solution. This closed form solution is found by using WKB method under the assumption of slowly varying properties, such as mass, cross-section, tension etc., along the beam length. However, this solution is found to be still very accurate even in the case of large variation in cross-section and tension. Therefore, this result can be easily applied to many engineering problems.

Natural Frequencies and Mode Shapes of Beams with Step Change in Cross-Section

  • Kim, Yong-C.;Nam, Alexander V.
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2003년도 추계학술대회 논문집
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    • pp.152-157
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    • 2003
  • Natural frequencies of the transνerse vibration of beams with step change in cross-section are obtained by using the asymptotic closed form solution. This closed form solution is found by using WKB method under the assumption of slowly varying properties, such as mass, cross-section, tension etc., along the beam length. However, this solution is found to be still very accurate even in the case of large variation in cross-section and tension. Therefore, this result can be easily applied to many engineering problems.

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저수지 제체 단면 형상 변화에 따른 안전율 및 침투유량 분석 (Analysis for the Safety Factor of Slope and Seepage according to Change Cross-Section in the Reservoir Embankments)

  • 노수각;손영환;봉태호;박재성;최우석
    • 한국농공학회논문집
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    • 제55권6호
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    • pp.37-46
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    • 2013
  • Many factors about the stability for the reservoir embankments is determined when the facility is completed. Therefore the initial design of the embankment is important. Many researchers focused the effect of soil parameters although the cross section greatly affects the stability and can be controlled in design step. The objective of this research is to analysis of the effects for the safety factor of slope and seepage according to change cross-section in embankment. As a result, the quantity of seepage decreased as the gradient of downstream slope decreased and was proportional to the height of embankments. There was a linear relationship between the gradient of slope and the safety factor of slope. However the gradient of slope did not affect other side slope. All in a relationship, regressive equations with a high correlation coefficient were calculated and can be applied the simple estimation method of the stability using the cross-section. As results of analyzing the sensitivity, the friction angle and permeability critically effect for the slope stability and the seepage, respectively. The effect of the slope gradient was similar to major soil properties.

An Asymptotic Solution and the Green's Function for the Transverse Vibration of Beams with Variable Properties

  • 김용철
    • 한국해양공학회지
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    • 제24권1호
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    • pp.34-38
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    • 2010
  • An analytical solution procedure for the dynamic response of beams with variable properties is developed by using an asymptotic solution and the Green's function. This asymptotic closed form solution is derived for the transverse vibration of beams under the assumption of slowly varying properties, such as mass, cross-section, tension etc., along the beam length. However, this solution is still found to be very accurate even in the case of large variation, such as step change in cross-section, mass, and tension. Therefore, this derived asymptotic closed form solution and the Green's function can be easily applied to find dynamic responses for various kind of beam vibration problems.

경인 아라뱃길의 외래식물 분포 현황 (Distribution on the Alien Plants in the Gyeong-in Ara Waterway, Korea)

  • 안지홍;김중현;박환준;김선유;박성애
    • 한국물환경학회지
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    • 제33권3호
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    • pp.291-301
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    • 2017
  • This study was carried out to investigate distribution on the alien plants in the Gyeong-in Ara Waterway. The alien plants were a total of 82 taxa: 17 families, 63 genera, 80 species, and 2 varieties. This number corresponds to 25.5% of alien plants identified in Korea. The proportion of alien plants in every year was increased from upstream to downstream. As the result of the analysis on vegetation stratification, bank of waterside was covered with artificial materials preventing existence of vegetation, and had step-type cross section. Floodplain was composed of waterfront area. An array of vegetation was not typical dispersion, and terrestrial and alien plants were dominated the Gyeong-in Ara Waterway. Evaluation of naturalness based on the vegetation stratification showed grade 3 or 4. In order to solve a problem, method and level of restoration should be decided based on the result of diagnostic assessment. Therefore, we need to restore the step-type cross section as pool type one. From waterside to bank in this waterway, we recommend to introduce natural plants by imitating reference species composition. Since, an invasion of alien plants is expected to be accelerated due to the continuous artificial disturbance, we recommend to quantitative investigation on the invasion of alien plants and monitoring on the change of distribution.

Differential transform method and numerical assembly technique for free vibration analysis of the axial-loaded Timoshenko multiple-step beam carrying a number of intermediate lumped masses and rotary inertias

  • Yesilce, Yusuf
    • Structural Engineering and Mechanics
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    • 제53권3호
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    • pp.537-573
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    • 2015
  • Multiple-step beams carrying intermediate lumped masses with/without rotary inertias are widely used in engineering applications, but in the literature for free vibration analysis of such structural systems; Bernoulli-Euler Beam Theory (BEBT) without axial force effect is used. The literature regarding the free vibration analysis of Bernoulli-Euler single-span beams carrying a number of spring-mass systems, Bernoulli-Euler multiple-step and multi-span beams carrying multiple spring-mass systems and multiple point masses are plenty, but that of Timoshenko multiple-step beams carrying intermediate lumped masses and/or rotary inertias with axial force effect is fewer. The purpose of this paper is to utilize Numerical Assembly Technique (NAT) and Differential Transform Method (DTM) to determine the exact natural frequencies and mode shapes of the axial-loaded Timoshenko multiple-step beam carrying a number of intermediate lumped masses and/or rotary inertias. The model allows analyzing the influence of the shear and axial force effects, intermediate lumped masses and rotary inertias on the free vibration analysis of the multiple-step beams by using Timoshenko Beam Theory (TBT). At first, the coefficient matrices for the intermediate lumped mass with rotary inertia, the step change in cross-section, left-end support and right-end support of the multiple-step Timoshenko beam are derived from the analytical solution. After the derivation of the coefficient matrices, NAT is used to establish the overall coefficient matrix for the whole vibrating system. Finally, equating the overall coefficient matrix to zero one determines the natural frequencies of the vibrating system and substituting the corresponding values of integration constants into the related eigenfunctions one determines the associated mode shapes. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the differential equations of the motion. The calculated natural frequencies of Timoshenko multiple-step beam carrying intermediate lumped masses and/or rotary inertias for the different values of axial force are given in tables. The first five mode shapes are presented in graphs. The effects of axial force, intermediate lumped masses and rotary inertias on the free vibration analysis of Timoshenko multiple-step beam are investigated.

개수로에서의 상류-사류 천이영역에 대한 부정류 해석 (Unsteady Flow Analysis through the Subcritical-Supercritical Transition Region)

  • 한건연;박재홍;이종태
    • 물과 미래
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    • 제27권2호
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    • pp.85-96
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    • 1994
  • 자연하천의 부정류에 Preissmann 기법을 적용시 나타나는 수치 불안정성의 원인을 규명하고 불안정성을 극복하기 위한 적절한 대책을 제시하였다. 주된 불안정성의 원인으로는 천이류, 하도단면의 급격한 변화, 부적절한 조도계수, 계산시간 및 거리간격, 급격하게 증가하는 유입수문곡선, 그리고 마른 하상 등이다. 이런 불안정성의 주된 원인은 천이류의 발생과 관계가 있으며 상류-사류가 공존하는 자연 하도에서 천이류를 해석할 수 있는 모형을 제안하였다. 가상하도를 통하여 모의 수치실험을 수행한 결과 전하도구간에 대하여 안정성있게 수렴하고 있었으며, 일관성있는 유량, 수위자료를 얻을 수 있었다. 본 연구의 모형은 앞으로 실제 하천자료를 통해 적용성의 검증이 이루어진다면 천이류로 발생하는 수치계산의 어려움의 해결에 기여할 수 있다고 판단된다.

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수종의 Engine driven NiTi file과 stainless steel K-file을 이용한 근관형성 후 근관의 조직형태학적 변화에 관한 연구 (A STUDY OF HISTOMORPHOLOGICAL CHANGE OF CURVED ROOT CANAL PREPARATION USING GT ROTARY FILE, PROFILE AND STAINLESS STEEL K-FILE)

  • 고현정;백승호
    • Restorative Dentistry and Endodontics
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    • 제27권6호
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    • pp.612-621
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    • 2002
  • The purpose of this study was to compare the histomorphological change of curved root canal preparation using GT rotary File, Profile .04 taper and stainless steel K-file. 45 mesial canals(over 20 degree) of extracted human mandibular first molars were mounted in resin using a modified Bramante muffle system and divided into three groups. The roots were cross-sectioned at 2.5mm 5mm and 8mm levels from apical foramen. Tracings of the canals were made from preinstrumentation pictures of the cross section. The canals were prepared using a step-back technique with stainless steel K file(group 1), Profile .04 taper rotary file(group 2) and GT rotary file(group 3). Tracings of the prepared canals were made from postinstrumentation picture. Canal centring ratio. amount of transportation, area of dentin removed and shape of canal were measured and statistically were evaluated with Student-Newman-Keuls test using Sigma Stat(Jandel Scientific Software, USA). The results were as followings : 1 Amount of transportation of group 2 was the lowest at apical part, but there was no statistical difference. The direction of transportation was the outside of curvature at apical part. 2. Centering ratio at the apical part of group 1 was the highest, and there was statistical differences between apical and middle part, apical and coronal part(p<0.05). Centering ratio at the middle part of group 3 was the lowest, and there was statistical difference between apical and middle part(p<0.05). Centering ratio of group 2 was the lowest at apical part, but there was no statistical difference. 3. Amount of dentin removed of group 1 was the highest at coronal, middle and apical part among three groups, and there was statistical difference(p<0.05). 4. The majority of the cross-sectioned canal shape after instrumentation were irregular at coronal, middle and apical part. But there are more number of round shaped canals at group 3 than other group.

고유진동수의 간이 추정식을 이용한 보강판 구조물의 동특성의 최적변경에 관한 연구 (A Study on Optimum Modification of Dynamic Characteristics of Stiffened Plate Using Simplified Equation of Natural Frequency)

  • 박성현;남정길
    • Journal of Advanced Marine Engineering and Technology
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    • 제26권1호
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    • pp.48-58
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    • 2002
  • There is a purpose of this study for the proposal of the optimum technique utilized for the vibration design initial step. The stiffened plate structure for the ship hull is made for analysis model. To begin with, dynamic characteristics of stiffened plate structure is analysed using FEM. Main vibrational mode of the structure is decided in the analytical result of FEM. The simplified equation on the natural frequency of the main vibrational mode is induced. Next, sensitivity analysis is carried out using the simplified equation, and rate of change of dynamic characteristics is calculated. Then, amount of design variable is calculated using this sensitivity value and optimum structural modification method. The change of natural frequency is made to be an objective function. Thickness of panel, cross section moment of stiffener and girder become a design variable. The validity of the optimization method using simplified equation is examined. It is shown that the result effective in the optimum modification for natural frequency of the stiffened plate structure.

바이오 상변화 Template 위한 전극기판 개발 (Developing the Electrode Board for Bio Phase Change Template)

  • 리학철;윤중림;이동복;김수경;김기범;박영준
    • Korean Chemical Engineering Research
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    • 제47권6호
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    • pp.715-719
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    • 2009
  • 본 연구에서는 DNA 정보를 상변화 물질의 전기저항 변화특성으로 검출할 수 있는 상변화 전극 기판을 개발하였다. 이를 위해 반도체 공정에서 사용하는 Al을 사용하여 전극 기판을 제작하였다. 하지만 주사전자현미경을 이용하여 Al 전극의 단면 상태를 확인해 본 결과 PETEOS(plasma enhanced tetraethyoxysilane) 내에서 보이드(void)가 발생하여 후속공정인 에치백과 세정공정 분위기에 과도하게 노출되어 심하게 손상되어 전극과 PETEOS 사이에 홀(hole)로 변형된다. 이 문제점을 해결하기 위하여 에치백 및 세정 공정을 진행하지 않으면서 $Ge_2Sb_2Te_5$(GST) 박막의 단차피복성(stepcoverage)을 좋게 할 수 있고, 열역학적으로 GST 박막과의 반응성을 고려했을 때 안정적이면서 비저항이 낮은 TiN 재료를 사용하여 상변화 전극 기판을 제작하였다. 주사전자현미경을 통하여 전극의 단면의 상태를 관찰하였으며 TiN 전극과 GST 박막이 정상적으로 연결되어 있는 것을 확인하였다. 또한 저항측정 장비를 사용하여 TiN 상변화 전극 기판 위에 증착된 GST의 비정질과 결정질의 저항을 측정하였고, GST의 비정질과 결정질저항의 차이는 약 1,000배 정도로 신호를 검출하는데 충분함을 확인하였다.