• 제목/요약/키워드: Mode Superposition Method

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모달해석기법을 이용한 판 구조물의 진동인텐시티 해석 (Structural Intensity Analysis of Plate Structures Using Modal Analysis)

  • 정상민;조대승;김사수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.319-326
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    • 1998
  • Structural intensity of plates experiencing bending vibration is analytically evaluated using the modal analysis based on the assumed mode method. In the analysis, material internal loss and localized damping are considered. The power obtained by structural intensity integration over the circle containing the excitation source is compared with the power injected into plates to verify the accuracy of the presented method and; to evaluate the convergence of mode superposition. The intensity integration is carried out varying the circle radius and the integral step to investigate their effects in case of the power estimation using structural intensities. In addition, the dominant component among internal forces in the energy transfer by the bending vibration of a stiffened plate is investigated.

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VIBRATION ANALYSIS OF FBGA SOLDER JOINTS OF THE MEMORY MODULE SUBJECTED TO HARMONIC EXCITATION

  • ;;장건희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2010년도 춘계학술대회 논문집
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    • pp.572-573
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    • 2010
  • Vibration analysis of Fine-pitch Ball Grid Array (FBGA) packages mounted on a Printed Circuit Board (PCB) subjected to harmonic excitation is performed by using finite element method (FEM). A finite element model of a memory module is composed of three main parts, packages, simplified solder balls and bare PCB. At first, natural frequencies and mode shapes of the developed model were confirmed experimentally. Secondly, the harmonic excitation experiment for the module was carried out at the first natural frequency of the memory module, and it was verified with the simulation by using mode superposition method at a constant acceleration.

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충격시험에 의한 실험모드특성을 이용한 구조물의 지진응답 예측 (Seismic Response Prediction of a Structure Using Experimental Modal Parameters from Impact Tests)

  • 조성국;조양희;소기환
    • 한국지진공학회논문집
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    • 제14권2호
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    • pp.75-84
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    • 2010
  • 원자력발전소에 설치되는 주요 전기기기들의 내부 부품을 내진검증하기 위해서는 캐비닛내부응답스펙트럼이 필요하고, 이는 캐비닛의 각 위치에서 정확한 지진응답을 구한 후에 생성이 가능하다. 반면에 대부분의 전기기기는 질량과 강성 분포가 복잡하기 때문에 해석적 방법에 의해 동적 분석을 수행하는 것이 어렵다. 이러한 여건을 감안하여 이 연구에서는 해석과 시험을 조합하여 기기의 지진응답을 예측하는 간편한 절차를 제안하였다. 제안된 절차는 먼저 충격시험을 통하여 규명된 실험모드특성을 이용하여 독립된 모드방정식을 구성하고, 이로부터 모드응답을 계산한 다음, 각 모드응답을 중첩함으로써 구조물의 지진응답을 예측한다. 제안된 절차의 신뢰성을 검증하기 위해서, 별도로 제작된 단순 강재 프레임 시편에 제안된 절차를 적용하여 지진응답을 예측하고, 이를 실제 진동대시험을 통하여 계측한 결과와 비교하였다. 이 연구를 통하여 충격시험에 의해 얻어진 실험모드특성을 이용하여 구조물의 지진응답을 비교적 정확하게 예측할 수 있음을 확인하였다.

KTX용 2경간 연속교량의 동적거동 및 공진감소 (Dynamic Behavior and Resonance Reduction of Two-Span Continuous Bridges for Korean Train eXpress)

  • 오주원
    • 대한토목학회논문집
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    • 제28권1A호
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    • pp.95-104
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    • 2008
  • 본 연구에서는 경부고속철도상의 대표적인 교량인 2경간 연속보 형태의 고속철도 교량에 대하여 동적거동을 해석하고 공진발생의 감소방안들을 제시하였다. 하중은 한국형 고속철도하중인 총길이 380.15 m의 TGV-K 열차(2P+18T)가 일정한 속도로 이동하는 것으로 하였다. 동적거동을 모사하는 지배방정식은 질량과 강성이 분포된 연속계에서 만들어진 편미분방정식을 이용하여 구하였으며 Duhamel 적분을 이용한 모달계수의 처리를 수반하는 모드중첩법을 이용하여 동적해석을 수행하였다. 열차의 주행속도에 관계없이 동적거동을 급격히 감소시킬 수 있는 지간장이 존재하였으며 지금까지 연구된 단순보 형태의 교량에서 분석된 결과와는 달랐다. 열차의 주행속도에 의존하여 동적응답이 급격히 증가되어 공진현상을 일으키는 경우에도 공진을 감소시킬 수 있는 여러 방안들을 제시하였다.

Accelerated Newton-Raphson 방법에 의한 대형구조물의 자유진동수와 모우드형의 결정 (Determination of the Natural Frequencies and Mode Shapes of Large Structures by Accelerated Newton-Raphson Method)

  • 김만철;이인원
    • 대한토목학회논문집
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    • 제14권5호
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    • pp.1105-1113
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    • 1994
  • 각종 구조물의 설계에 있어서 동적해석은 필수적이다. 이러한 구조물의 동적해석에 모우드 중첩법을 사용할 경우 고유치문제의 해석이 선행되어야 한다. 그러나 동적해석에 있어서 대부분의 노력, 즉 시간은 고유치와 그에 대응하는 고유벡터를 구하기 위하여 사용되기 때문에 보다 효율적인 고유치해법의 개발이 요구된다. 본 논문은 수치적 불안정성을 해소하고 수렴성을 향상시킴으로써 전체 해석시간을 줄이기 위해 Robinson-Lee 방법에 accelerated Newton-Raphson 방법을 적용한 고유치해법을 제시하였다. 제안방법의 효율성은 몇가지의 수치해석을 통해서 증명하였다.

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Seismic response of steel reinforced concrete frame-bent plant of CAP1400 nuclear power plant considering the high-mode vibration

  • Biao Liu;Zhengzhong Wang;Bo Zhang;Ningjun Du;Mingxia Gao;Guoliang Bai
    • Steel and Composite Structures
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    • 제46권2호
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    • pp.221-236
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    • 2023
  • In order to study the seismic response of the main plant of steel reinforced concrete (SRC) structure of the CAP1400 nuclear power plant under the influence of different high-mode vibration, the 1/7 model structure was manufactured and its dynamic characteristics was tested. Secondly, the finite element model of SRC frame-bent structure was established, the seismic response was analyzed by mode-superposition response spectrum method. Taking the combination result of the 500 vibration modes as the standard, the error of the base reactions, inter-story drift, bending moment and shear of different modes were calculated. Then, based on the results, the influence of high-mode vibration on the seismic response of the SRC frame-bent structure of the main plant was analyzed. The results show that when the 34 vibration modes were intercepted, the mass participation coefficient of the vertical and horizontal vibration mode was above 90%, which can meet the requirements of design code. There is a large error between the seismic response calculated by the 34 and 500 vibration modes, and the error decreases as the number of modes increases. When 60 modes were selected, the error can be reduced to about 1%. The error of the maximum bottom moment of the bottom column appeared in the position of the bent column. Finally, according to the characteristics of the seismic influence coefficient αj of each mode, the mode contribution coefficient γj•Xji was defined to reflect the contribution of each mode to the seismic action.

상용 유한요소해석 프로그램을 이용한 축류송풍기의 내진해석 (Seismic Analysis of an Axial Blower Using a Commercial FEM Code)

  • 정진태;임형빈;김강성;허진욱
    • 한국소음진동공학회논문집
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    • 제12권3호
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    • pp.181-186
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    • 2002
  • A seismic analysis is one of crucial design procedures of an axial blower used in nuclear power Plants. The blower should be operated even in ar emergency such as an earthquake. The blower should be designed in order to stand against an earthquake. For the seismic analysis, Ive perform the modal analysis and then evaluate the required response spectrum (PRS) from the given floor response spectrum (FRS). A finite element model of the blower is established by using a commercial FEM code of ANSYS. After the finite element modeling. the natural frequencies. the mode shapes and the participation factors are obtained from the modal analysis. The PRS is acquired by a numerical approach on the basis of the principle of mode superposition. We verify the structura safety of the axial blower and confirm the validity of the present seismic analysis results.

교류전기철도 급전시스템의 전차선 전압해석 (Analysis for Catenary Voltage of The ATs-Fed AC Electric Railroad System)

  • 이승혁;정현수;김진오
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2002년도 추계학술대회 논문집(I)
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    • pp.490-496
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    • 2002
  • This paper presents exact Autotransformers(ATs)-fed AC electric Railroad system modeling using constant current mode far locomotives. An AC electric railroad system is rapidly changing single-phase load, and at a feeding substation, 3-phase electric power is transferred to paired directional single-phase electric power. As the train moves along a section of line between two adjacent ATs. The proposed AC electric railroad system modeling method considers the line self-impedances and mutual-impedances. The constant current mode model objectives are to calculate the catenary and rail voltages with the loop equation. When there are more than one train in the AC electric railroad system, the principle of superposition applies and the only difference between the system analyses for one train. Finally, this paper shows the general equation of an AC electric railroad system, and that equation has no relation with trains number, trains position, and feeding distance.

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단권변압기 교류전기철도 급전시스템의 전차선 전압해석 (Analysis for Catenary Voltage of The ATs-Fed AC Electric Railroad System)

  • 정현수;이승혁;김진오
    • 대한전기학회논문지:전력기술부문A
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    • 제52권9호
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    • pp.493-499
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    • 2003
  • This paper presents exact Autotransformers(ATs)-fed AC electric Railroad system modeling using constant current mode for locomotives. An AC electric railroad system is rapidly changing single-phase load, and at a feeding substation, 3-phase electric power is transferred to paired directional single-phase electric power. As the train moves along a section of line between two adjacent ATs. The proposed AC electric railroad system modeling method considers the line self-impedances and mutual-impedances. The constant current mode model objectives are to calculate the catenary and rail voltages with the loop equation. When there are more than one train in the AC electric railroad system, the principle of superposition applies and the only difference between the system analyses for one train. Filially, this paper shows the general equation of an AC electric railroad system, and that equation has no relation with trains number, trains position, and feeding distance.

Estimation of floor response spectra induced by artificial and real earthquake ground motions

  • Pu, Wuchuan;Xu, Xi
    • Structural Engineering and Mechanics
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    • 제71권4호
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    • pp.377-390
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    • 2019
  • A method for estimating the floor response spectra (FRS) of elastic structures under earthquake excitations is proposed. The method is established based on a previously proposed direct estimation method for single degree of freedom systems, which generally overestimates the FRS of a structure, particularly in the resonance period range. A modification factor is introduced to modify the original method; the modification factor is expressed as a function of the period ratio and is determined through regression analysis on time history analysis results. Both real and artificial ground motions are considered in the analysis, and it is found that the modification factors obtained from the real and artificial ground motions are significantly different. This suggests that the effect of ground motion should be considered in the estimation of FRS. The modified FRS estimation method is further applied to a 10-story building structure, and it is verified that the proposed method can lead to a good estimation of FRS of multi-story buildings.