• Title/Summary/Keyword: Modal Superposition 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.

Nonlinear Response Analysis of Multi-Degree-of-Freedom Building Structures Using Response Spectrum Method (응답스펙트럼법에 의한 고층 건축물의 탄소성 지진응답해석법)

  • Jun, Dae-Han
    • Journal of the Earthquake Engineering Society of Korea
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    • v.1 no.4
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    • pp.1-9
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    • 1997
  • This paper examined various aspects of a linear and a nonlinear response spectrum method in seismic response analysis of multi-story building structures. The response spectrum method that has been widely used in the analysis of linear structures was proposed different mode superposition method by several ivestigators, and the differences between combinations with an elastic modal analysis reviwed closely. It seems, however, that this method is not used to nonlinear seismic analysis. It is the purpose of this paper to propose an alternative method by means of which a nonlinear MDOF structure with long period may be analysed by an extention of response spectrum method. For nonlinear seismic analysis of high-rise building structures using technique proposed in this study, it is intended to serve primarily as a tool in preliminary designs instead of time history analysis.

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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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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.

The influence of different support movements and heights of piers on the dynamic behavior of bridges -Part I: Earthquake acting transversely to the deck

  • Michaltsos, George T.;Raftoyiannis, Ioannis G.
    • Interaction and multiscale mechanics
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    • v.2 no.4
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    • pp.431-454
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    • 2009
  • This paper presents a simple model for studying the dynamic response of multi-span bridges resting on piers with different heights and subjected to earthquake forces acting transversely to the bridge, but varying spatially along its length. The analysis is carried out using the modal superposition technique, while the solution of the resulting integral-differential equations is obtained via the Laplace transformation. It has been found that the piers' height and the quality of the foundation soil can affect significantly the dynamic behavior of such bridges. Typical examples showing the effectiveness of the method are presented with useful results listed.

Calculation of Dynamic Stress-Time History for a Vehicle Using Flexible Body Dynamics Model (유연체 동력학 모델을 이용한 차량의 동응력-시간선도 계산)

  • Park, Chan-Jong;Yim, Hong-Jae;Park, Tae-Won
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.702-707
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    • 2000
  • Under the rapid change of a new vehicle model, it is necessary to develop a durability analysis technique using computer simulation. In order to do this. reliable dynamic stress-time history for the vehicle components must be calculated on various road conditions. In this paper, a full vehicle simulation model which is composed of flexible frame and chassis components is proposed and verified its reliability from the comparison with field test data. Finally, dynamic stress-time history on the rear chassis components is predicted with hybrid and modal superposition method.

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Analysis of a Dynamic Rig Test Model for Truck Chassis Systems (트럭 샤시 시스템의 동적 리그시험모텔 해석)

  • 임재혁;성현수;임세영
    • Transactions of the Korean Society of Automotive Engineers
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    • v.12 no.4
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    • pp.94-100
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    • 2004
  • A dynamic finite element analysis of a rig test model for truck chassis systems is conducted to establish an appropriate model designed to predict the fatigue life. A reference Belgian road input, which has been obtained from a field test, is imposed on the finite element model in the modal finite element analysis, and the resulting strain history is employed for the prediction of the fatigue life. This is compared with the prediction based upon the strain history measured in the field test. The two agree with each other within the limitation of the field data and the input data to the model. The high frequency responses over 50 Hz are confirmed to be negligible as far as their effect on the fatigue life is concerned.

Dynamic response of cable-stayed bridges subjected to sudden failure of stays - the 2D problem

  • Raftoyiannis, I.G.;Konstantakopoulos, T.G.;Michaltsos, G.T.
    • Coupled systems mechanics
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    • v.3 no.4
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    • pp.345-365
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    • 2014
  • A significant problem met in engineering practice when designing cable-stayed bridges is the failure of cables. Many different factors can lead to sudden failure of cables, such as corrosion, continuous friction or abrasion, progressive and extended crevice created by fatigue and finally an explosion caused by sabotage or accident, are some of the causes that can lead to the sudden failure of one or more cables. This paper deals with the sudden failure of cables in a special form of cable-stayed bridges with a single line of cables anchored at the central axis of the deck's cross-section. The analysis is carried out by the modal superposition technique where an analytical method developed by the authors in a previous work has been employed.

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

  • Oh, Juwon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.1A
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    • pp.95-104
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    • 2008
  • Dynamic behaviors of the two-span continuous bridge which is one of prototypes on Gyoung-Bu high-speed railway are analyzed and some methods for reducing the resonance of the bridge are proposed. The bridge is modeled as a two-span continuous beam and the load is a vehicle of TGV-K (2p+18T) with length of 380.15 meter traveling on the railway bridge at some constant velocity. The equations governing the dynamic behaviors of the bridge are partial differential equations produced by using a system with distributed mass and elasticity. The analysis of the governing equations is performed by the mode superposition method which has modal coordinates solved by Duhamel's integral. Without considering the train velocity the dynamic reponses can be greatly reduced at some special lengths of bridge. It is different from the results of simple bridges researched so far. When the dynamic responses increase rapidly to make a resonance phenomenon depending on the train velocities, the several methods are proposed to deduce the resonance.

A multi-resolution analysis based finite element model updating method for damage identification

  • Zhang, Xin;Gao, Danying;Liu, Yang;Du, Xiuli
    • Smart Structures and Systems
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    • v.16 no.1
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    • pp.47-65
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    • 2015
  • A novel finite element (FE) model updating method based on multi-resolution analysis (MRA) is proposed. The true stiffness of the FE model is considered as the superposition of two pieces of stiffness information of different resolutions: the pre-defined stiffness information and updating stiffness information. While the resolution of former is solely decided by the meshing density of the FE model, the resolution of latter is decided by the limited information obtained from the experiment. The latter resolution is considerably lower than the former. Second generation wavelet is adopted to describe the updating stiffness information in the framework of MRA. This updating stiffness in MRA is realized at low level of resolution, therefore, needs less number of updating parameters. The efficiency of the optimization process is thus enhanced. The proposed method is suitable for the identification of multiple irregular cracks and performs well in capturing the global features of the structural damage. After the global features are identified, a refinement process proposed in the paper can be carried out to improve the performance of the MRA of the updating information. The effectiveness of the method is verified by numerical simulations of a box girder and the experiment of a three-span continues pre-stressed concrete bridge. It is shown that the proposed method corresponds well to the global features of the structural damage and is stable against the perturbation of modal parameters and small variations of the damage.