• Title/Summary/Keyword: modal superposition

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Parameter identification for nonlinear behavior of RC bridge piers using sequential modified extended Kalman filter

  • Lee, Kyoung Jae;Yun, Chung Bang
    • Smart Structures and Systems
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    • v.4 no.3
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    • pp.319-342
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    • 2008
  • Identification of the nonlinear hysteretic behavior of a reinforced concrete (RC) bridge pier subjected to earthquake loads is carried out based on acceleration measurements of the earthquake motion and bridge responses. The modified Takeda model is used to describe the hysteretic behavior of the RC pier with a small number of parameters, in which the nonlinear behavior is described in logical forms rather than analytical expressions. Hence, the modified extended Kalman filter is employed to construct the state transition matrix using a finite difference scheme. The sequential modified extended Kalman filter algorithm is proposed to identify the unknown parameters and the state vector separately in two steps, so that the size of the problem for each identification procedure may be reduced and possible numerical problems may be avoided. Mode superposition with a modal sorting technique is also proposed to reduce the size of the identification problem for the nonlinear dynamic system with multi-degrees of freedom. Example analysis is carried out for a continuous bridge with a RC pier subjected to earthquake loads in the longitudinal and transverse directions.

Regional Control of Vibration (진동의 영역 제어)

  • Kim, Yang-Hann;Chang, Ji-Ho
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.472-475
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    • 2008
  • Generally, a linear vibration theory regards a vibratory system as the superposition of many degrees of vibratory system. Modal analysis stems, in fact, considers the vibration system as what has input, output, and transfer function that relates the input and output. When we want to control, however, the vibratory system, we define, first, the object function that can be vibration energy of certain vibratory system. Then, we try to find the transfer function that can minimize the object function. We can readily extend this approach to control the distributed vibration system. For example, the vibrations of a vehicle, including ships and trains. In this case, we may want to minimize the vibration of the area we select. For example, minimize the vibration of the passengers' seat, but allowing the vibration of other area; for example engines and wheels. This paper introduces a general theory that can control the vibration of the selected area, which can be called as "regional control of vibration." In fact, this is the extended theory of well known sound control of "bright zone"(Choi and Kim, 2002).]. Several illustrative examples demonstrate the applicability and properties that are not available if we use modal analysis method.

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Parameters affecting the fundamental period of infilled RC frame structures

  • Asteris, Panagiotis G.;Repapis, Constantinos C.;Tsaris, Athanasios K.;Di Trapani, Fabio;Cavaleri, Liborio
    • Earthquakes and Structures
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    • v.9 no.5
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    • pp.999-1028
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    • 2015
  • Despite the fact that the fundamental period appears to be one of the most critical parameters for the seismic design of structures according to the modal superposition method, the so far available in the literature proposals for its estimation are often conflicting with each other making their use uncertain. Furthermore, the majority of these proposals do not take into account the presence of infills walls into the structure despite the fact that infill walls increase the stiffness and mass of structure leading to significant changes in the fundamental period numerical value. Toward this end, this paper presents a detailed and indepth analytical investigation on the parameters that affect the fundamental period of reinforce concrete structure. The calculated values of the fundamental period are compared against those obtained from the seismic code and equations proposed by various researchers in the literature. From the analysis of the results it has been found that the number of storeys, the span length, the stiffness of the infill wall panels, the location of the soft storeys and the soil type are crucial parameters that influence the fundamental period of RC buildings.

Study on Dynamic Characteristics and Safety of Steel Box Railway Bridge (강상형 철도교의 동특성 및 안정성 연구)

  • Choi, Kwon-Young;Yun, Ji-Hong;Kwon, Ku-Sung;Chung, Won-Seok
    • Proceedings of the KSR Conference
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    • 2011.05a
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    • pp.1526-1532
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    • 2011
  • Railway bridges are highly susceptible to resonance due to the equidistant axle load with constant speed of train. Thus, it is necessary to verify dynamic characteristics and quantities against dynamic guidelines. Recently, many newly developed bridge systems have been developed for medium span length between 30m and 40m. However, less variety of bridge systems are available for span length between 45m and 50m. Steel box girder is considered as an alternative for span length between 45m and 50m. This study is to investigate the dynamic properties and safety of steel box railway bridge. Modal properties are extracted and moving load analyses are performed using mode superposition method. The results are then compared to various standards.

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Model Order Reduction for Mid-Frequency Response Analysis (중주파수 응답해석을 위한 축소 기법)

  • Ko, Jin-Hwan
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.135-138
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    • 2009
  • Most of the studies use model order reduction for low frequency (LF) response analysis due to their high computational efficiency. In LF response analysis, one of model order reduction, algebraic substructuring (AS) retains all LF modes when using the modal superposition. However, in mid-frequency (MF) response analysis, the LF modes make very little contribution and also increase the number of retained modes, which leads to loss of computational efficiency. Therefore, MF response analysis should consider low truncated modes to improve the computational efficiency. The current work is focused on improving the computational efficiency using a AS and a frequency sweep algorithm. Finite element simulation for a MEMS resonator array showed that the performance of the presented method is superior to a conventional method.

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Dynamic Interaction Analysis of Maglev and 3 Span Continuous Guideway Based on 3 D Multibody Dynamic Simulation (3차원 다물체동역학 시뮬레이션 기반 자기부상열차와 3경간 연속교 동적상호작용 해석)

  • Han, Jong-Boo;Kim, Ki-Jung
    • Korean Journal of Computational Design and Engineering
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    • v.21 no.4
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    • pp.409-416
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    • 2016
  • This study aims to investigate dynamic interaction characteristics between Maglev train and 3 span continuous guideway. The integrated model including a 3D full vehicle model based on multibody dynamics, flexible guideway by a modal superposition method, and levitation electromagnets with the feedback controller is proposed. The proposed model was applied to the Incheon Airport Maglev Railway to analyze the dynamic response of the vehicle and guideway from the numerical simulation. Using field test data of air gap and guideway deflections, obtained from the Incheon Airport Maglev Railway, the analysis method is verified. From the results, it is confirmed that Maglev railway system are designed and constructed safely according to the design criteria.

Vibration Characteristic Analysis Of Gimbal Structure in Collection Equipment of Image Information (영상정보 수집 장치용 짐발 구조물의 진동특성해석)

  • Lee, Sang-Eun;Lee, Tac-Won
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.2
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    • pp.20-25
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    • 2010
  • A camera module is supported by a gimbal structure in collection equipment of image information. During flight, the gimbal system undergoes serious accelerations with wide frequencies. To get the correct images, the camera module must be stably vibrated under these conditions. If natural frequency unfortunately exists in a exciting frequency range, resonance occurs there. Hence, harmonic responses analysis is needed to know correct vibration characteristic of the gimbal system. Finite element analysis was performed to get an acceleration of the gimbal system by mode superposition after extracting mode shapes and natural frequencies. Considering damping ratio of 2%, the reponses of gimbal structure were calculated from excitations with a design frequency band. As results, a maximum acceleration transmissibility, which is the ratio of response to excitation, was obtained and it can be used to design the gimbal structure effectively.

Analysis of Non-uniform Tension Effect on Dynamic Characteristics of Spinning Circular Plates in the Wafer Cutting Machine (웨이퍼 가공기에서 회전 원판의 동특성에 미치는 불균일 장력의 영향 분석)

  • 임경화
    • Journal of KSNVE
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    • v.8 no.2
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    • pp.324-330
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    • 1998
  • The forced vibration analysis of the outer-clamped spinnig annular disk with arbitrary in-plane is formulated to investigate the influence of non-uniform tension on the cutting accuracy of wafer cutting machine. The arbitrary in-plan force along the outer edge of an annular plate is expressed as a Fourier series. Galerkin method and modal superposition method are employed to obtain the forced responses under the static force and the impulse force in astationary coordinate. Through qualitative and quantitative analyses, it can be found that forced and impulse responses are sensitive to the non-uniformity of in-plane force, which can bring a bad effect to the accuracy of wafer cutting process. Also, in case of a spinning disk with non-uniform in-plane force, critical speed is required to define in a different way, compared with conventional definition in axi-symmetrical spinning disk.

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Active vibration control of smart composite structures in hygrothermal environment

  • Mahato, P.K.;Maiti, D.K.
    • Structural Engineering and Mechanics
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    • v.44 no.2
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    • pp.127-138
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    • 2012
  • The composite materials may be exposed to environmental (thermal or hygral or both) condition during their service life. The effect of environmental condition is usually adverse from the point of view of design of composite structures. In the present research study the effect of hygrothermal condition on the design of laminated composite structures is investigated. The active fiber composite (AFC) which may be utilized as actuator or sensor is considered in the present analysis. The sensor layer is used to sense the level of response of the composite structures. The sensed voltage is fed back to the actuator through the controller. In this study both displacement and velocity feedback controllers are employed to reduce the response of the composite laminate within acceptable limit. The Newmark direct time integration scheme is employed along with modal superposition method to improve the computational efficiency. It is observed from the numerical study that the laminated composite structures become weak in the presence of hygrothermal load. The response of the structure can be brought to the acceptable level once the AFC layer is activated through the feedback loop.

Seismic vulnerability evaluation of a 32-story reinforced concrete building

  • Memari, A.M.;Motlagh, A.R. Yazdani;Akhtari, M.;Scanlon, A.;Ashtiany, M. Ghafory
    • Structural Engineering and Mechanics
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    • v.7 no.1
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    • pp.1-18
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    • 1999
  • Seismic evaluation of a 32-story reinforced concrete framed tube building is performed by checking damageability, safety, and toughness limit states. The evaluation is based on Standard 2800 (Iranian seismic code) which recommends equivalent lateral static force, modal superposition, or time history dynamic analysis methods to be applied. A three dimensional linearly elastic model checked by ambient vibration test results is used for the evaluation. Accelerograms of three earthquakes as well as linearly elastic design response spectra are used for dynamic analysis. Damageability is checked by considering story drift ratios. Safety is evaluated by comparing demands and capacities at the story and element force levels. Finally, toughness is studied in terms of curvature ductility of members. The paper explains the methodology selected and various aspects in detail.