• 제목/요약/키워드: mode acceleration method

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개선된 Mode Acceleration Method에 의한 해양(海洋) 구조물(構造物)의 동적(動的) 해석(解析) (Dynamic Analysis of Offshore Structures by the Advanced Mode Acceleration Method)

  • 김태남
    • 대한토목학회논문집
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    • 제14권1호
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    • pp.13-20
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    • 1994
  • 동적(動的) 해석(解析)에 널리 사용되는 Mode Superposition Method(MSM)에 있어서 몇개의 모우드를 포함하여 해석(解析) 하느냐 하는 문제는 공학적(工學的) 판단에 의지할 수 밖에 없는 문제이다. 합리적(合理的)이고 알맞은 모우드수를 결정(決定)하기란 어려운 과제이고, 또 대단히 중요(重要)한 문제이다. 이러한 문제점을 보완할 수 있는 한 방법으로 Mode Acceleration Method(MAM)가 발표(發表)되었으나 주파수(周波數) 영역(領域)에서는 그 수식(數式)이 너무 복잡(複雜)하고, 까다로와서 또 다른 단점(短點)이 대두되었다. 본(本) 연구(硏究)에서는 이 단점을 극복할 수 있는 실용적(實用的)으로 간편화된 Advanced Mode Acceleration Method(AMAM)을 유도하였다. 예제(例題) 해석(解析)을 통하여 AMAM이 MSM 및 MAM보다 우수한 해법(解法)이 됨을 입증할 수 있었다.

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비비례 감쇠시스템의 해석을 위한 효율적인 모드 중첩법 (Efficient Mode Superposition Method for Non-Classically Damped Systems)

  • 조상원;조지성;박선규;이인원
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.549-555
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    • 2000
  • The improved mode superposition methods for non-classically damped systems are presented in this paper. Generally, the mode superposition method uses a relatively small subset of the normal modes of structures. The mode acceleration method and the modal truncation augmentation method improve the results of the mode superposition method by considering effects of truncated high modes. For using these methods to analyze non-classically damped systems, the systems are approximated to the classically damped systems and thereby the errors are induced. In this paper, the mode acceleration method and the modal truncation augmentation method are expanded to analyze the non-classically damped systems. The applicability of the expanded methods is verified by closed form solutions and numerical examples. The expanded modal truncation augmentation method is conditionally stable depending on the pattern of the external loading in the non-classically damped systems whereas the expanded mode acceleration method is stable for the all cases of loading. In the stable case, the results are the same with those of the expanded mode acceleration method.

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Effects of diaphragm flexibility on the seismic design acceleration of precast concrete diaphragms

  • Zhang, Dichuan;Fleischman, Robert B.;Lee, Deuckhang
    • Computers and Concrete
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    • 제25권3호
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    • pp.273-282
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    • 2020
  • A new seismic design methodology for precast concrete diaphragms has been developed and incorporated into the current American seismic design code. This design methodology recognizes that diaphragm inertial forces during earthquakes are highly influenced by higher dynamic vibration modes and incorporates the higher mode effect into the diaphragm seismic design acceleration determination using a first mode reduced method, which applies the response modification coefficient only to the first mode response but keeps the higher mode response unreduced. However the first mode reduced method does not consider effects of diaphragm flexibility, which plays an important role on the diaphragm seismic response especially for the precast concrete diaphragm. Therefore this paper investigated the effect of diaphragm flexibility on the diaphragm seismic design acceleration for precast concrete shear wall structures through parametric studies. Several design parameters were considered including number of stories, diaphragm geometries and stiffness. It was found that the diaphragm flexibility can change the structural dynamic properties and amplify the diaphragm acceleration during earthquakes. Design equations for mode contribution factors considering the diaphragm flexibility were first established through modal analyses to modify the first mode reduced method in the current code. The modified first mode reduced method has then been verified through nonlinear time history analyses.

풍하중을 받는 현수교의 진동 해석에 있어서 모우드 중첩법과 모우드 가속도법의 비교 (Comparison of Mode Superposition Method and Mode Acceleration Method in Dynamic Analysis of Suspension Bridges under Wind Loads)

  • 김태남
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 가을 학술발표회 논문집
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    • pp.223-230
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    • 1997
  • A method of stochastic dynamic analysis of suspension bridge subjected to random wind loads has been developed in this paper. Example analyses are carried out by mode superposition method(MSM), mode acceleration method(MAM) and advanced mode acceleration method(AMAM) in frequency domain for the Nam-Hae Bridge. In this study the statistical characterics of random wind loads we assumed to be Gaussian stationary zero mean processes. The considered structural response quanties are displacements, shear forces and bending moments. The mean extreme responses are approximately calculated by three times of standard deviations. The followings are the conclusions from this study. 1. Numerical results which obtained by three methods of computer program developed in this paper agree reasonably well when the numbers of modes increase. 2. AMAM is simple, accurate, economic and reliable method compared with the MSM and the MAM.

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해양구조물(海洋構造物)의 추계학적(推計學的) 한 해법(解法) (A Stochastic Analysis of Offshore Structures)

  • 이용재
    • 대한토목학회논문집
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    • 제5권4호
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    • pp.65-73
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    • 1985
  • Mode-Acceleration Method 를 사용하여 파력을 받는 해양구조물의 추계학적 해석법을 유도하고, 그 이론에 따라 computer program 을 작성하여 예제 구조물을 해석하고, 이미 발표된 Mode-Displacement Method 에 의한 추계학적 해석법과 비교한 결과, 본 논문에서 사용한 방법에 의한 경우 적은 수의 모우드를 사용함으로써 믿을 수 있는 결과를 경제적으로 얻을 수 있어, 이러한 구조물의 해석에 매우 유력한 한가지 방법임이 입증되었다.

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Feasibility study on an acceleration signal-based translational and rotational mode shape estimation approach utilizing the linear transformation matrix

  • Seung-Hun Sung;Gil-Yong Lee;In-Ho Kim
    • Smart Structures and Systems
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    • 제32권1호
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    • pp.1-7
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    • 2023
  • In modal analysis, the mode shape reflects the vibration characteristics of the structure, and thus it is widely performed for finite element model updating and structural health monitoring. Generally, the acceleration-based mode shape is suitable to express the characteristics of structures for the translational vibration; however, it is difficult to represent the rotational mode at boundary conditions. A tilt sensor and gyroscope capable of measuring rotational mode are used to analyze the overall behavior of the structure, but extracting its mode shape is the major challenge under the small vibration always. Herein, we conducted a feasibility study on a multi-mode shape estimating approach utilizing a single physical quantity signal. The basic concept of the proposed method is to receive multi-metric dynamic responses from two sensors and obtain mode shapes through bridge loading test with relatively large deformation. In addition, the linear transformation matrix for estimating two mode shapes is derived, and the mode shape based on the gyro sensor data is obtained by acceleration response using ambient vibration. Because the structure's behavior with respect to translational and rotational mode can be confirmed, the proposed method can obtain the total response of the structure considering boundary conditions. To verify the feasibility of the proposed method, we pre-measured dynamic data acquired from five accelerometers and five gyro sensors in a lab-scale test considering bridge structures, and obtained a linear transformation matrix for estimating the multi-mode shapes. In addition, the mode shapes for two physical quantities could be extracted by using only the acceleration data. Finally, the mode shapes estimated by the proposed method were compared with the mode shapes obtained from the two sensors. This study confirmed the applicability of the multi-mode shape estimation approach for accurate damage assessment using multi-dimensional mode shapes of bridge structures, and can be used to evaluate the behavior of structures under ambient vibration.

Displacement estimation of bridge structures using data fusion of acceleration and strain measurement incorporating finite element model

  • Cho, Soojin;Yun, Chung-Bang;Sim, Sung-Han
    • Smart Structures and Systems
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    • 제15권3호
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    • pp.645-663
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    • 2015
  • Recently, an indirect displacement estimation method using data fusion of acceleration and strain (i.e., acceleration-strain-based method) has been developed. Though the method showed good performance on beam-like structures, it has inherent limitation in applying to more general types of bridges that may have complex shapes, because it uses assumed analytical (sinusoidal) mode shapes to map the measured strain into displacement. This paper proposes an improved displacement estimation method that can be applied to more general types of bridges by building the mapping using the finite element model of the structure rather than using the assumed sinusoidal mode shapes. The performance of the proposed method is evaluated by numerical simulations on a deck arch bridge model and a three-span truss bridge model whose mode shapes are difficult to express as analytical functions. The displacements are estimated by acceleration-based method, strain-based method, acceleration-strain-based method, and the improved method. Then the results are compared with the exact displacement. An experimental validation is also carried out on a prestressed concrete girder bridge. The proposed method is found to provide the best estimate for dynamic displacements in the comparison, showing good agreement with the measurements as well.

무부하 급가속 측정 사이클로 운전되는 검사 대상 디젤 차량으로부터 배출되는 매연값 적분에 의한 차량 매연 대표값 특성 연구 (A Study on Evaluating a Representative Smoke Value from an Inspection Vehicle Using Integration Method over a Cycle of Free-Acceleration Test Mode)

  • 이충훈
    • 한국분무공학회지
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    • 제18권3호
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    • pp.132-139
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    • 2013
  • Smoke emissions from light duty diesel vehicles were measured using light extinction method with the free acceleration test mode. The smoke emissions for each measurement cycle of the free acceleration method showed large variations according to driver's pedal pushing pattern. The smoke values for each measurement cycle initially increased and reach a peak value. Integration of the smoke emissions with time for each measurement cycle was performed to get a representative smoke value which was obtained by averaging the integrated results. Two kinds of integration time range were used. One is range over the whole measurement cycle of the free acceleration method. The other is only the acceleration range in the measurement cycle. Overall, variation of the representative smoke values obtained by the integration method was reduced comparing to the traditional representative smoke value which was obtained from a peak smoke value over the measurement cycle. Ten vehicles of the same model with 2.5 liter diesel engines, and seven vehicles of the same model with 2.7 liter diesel engines, were tested using the free acceleration test method.

A simplified method for determining the acceleration amplitudes of long-span floor system under walking/running loads

  • Cao, Liang;Chen, Y. Frank
    • Structural Engineering and Mechanics
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    • 제75권3호
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    • pp.377-387
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    • 2020
  • Modern long-span floor system typically possesses low damping and low natural frequency, presenting a potential vibration sensitivity problem induced by human activities. Field test and numerical analysis methods are available to study this kind of problems, but would be inconvenient for design engineers. This paper proposes a simplified method to determine the acceleration amplitudes of long-span floor system subjected to walking or running load, which can be carried out manually. To theoretically analyze the acceleration response, the floor system is simplified as an anisotropic rectangular plate and the mode decomposition method is used. To facilitate the calculation of acceleration amplitude aP, a coefficient αwmn or αRmn is introduced, with the former depending on the geometry and support condition of floor system and the latter on the contact duration tR and natural frequency. The proposed simplified method is easy for practical use and gives safe structural designs.

DADS 및 MSC/NASTRAN을 이용한 다물체계 유연물체의 동역학 해석

  • 김창부;백윤기
    • 한국정밀공학회지
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    • 제18권2호
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    • pp.63-71
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    • 2001
  • This paper introduces a method for calculation of dynamic stress occurring in flexible bodies of a moving multibody system by using commercial softwares DADS for dynamic analysis and MSC/NASTRAN for finite element analysis. Three methods for model transient response analysis of a flexible body are summarized. Elastic deformation of a flexible body can be described with normal modes and static modes composed of constraint modes and residual attachment modes. The deformation modes divided into fixed-interface modes and free-interface modes can be determined by using MSC/NASTRAN and selected for dynamic analysis. The dynamic results obtained from DADS are utilized to calculate dynamic stress by using mode-displacement method or mode-acceleration method of MSC/NASTRAN. As a numerical example of the analysis, we used a three dimensional slider-crank model with a flexible connecting rod.

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