• Title/Summary/Keyword: Non-linear Effect

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A Study on the Non-linear Analysis of Steel Frame with Semi-rigid Connections (반강접성을 고려한 강뼈대 구조물의 비선형 해석에 관한 연구)

  • 이종석;이상엽;김정훈
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.10a
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    • pp.111-118
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    • 1997
  • Generally, H-section is used for columns and beams in the middle and low building steel structure, But it has a axis and a weak axis. Thus if H-section is used for columns, the structure needs reinforcement on the weak axis. Therefore recently, square hollow section(S.H.S) is used for columns because it is able to cover the vulnerability of H-section. Structural analysis is usually executed under the assumption that connections are either ideally pinned joint or fully joint. Actually all connections are semi-rigid which possess a rotational stiffness. Therefore it can be designed economically as using the property of connections which has a rotational stiffness. This paper presents a prediction model curve which is fitted with Kishi-Chen Power Model about the behavior of connection between H-beam and S.H.S column in the previous experimental paper. It also suggests the new analysis algorithm considering the non-linear of semi-rigid connection and the geometrical non-linear under the effect of axial force.

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Modeling of Non-linear Leaf Spring for Commercial Vehicle (상용차량의 비선형 Hotchkiss 스프링 모델링)

  • 유승환;김영배
    • Korean Journal of Computational Design and Engineering
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    • v.7 no.1
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    • pp.1-8
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    • 2002
  • A Hotchkiss spring has been widely utilized for commercial vehicle. Usually, the Hotchkiss spring has non-linear characteristics, i.e. it has a piecewise spring stiffness as well as hysterisis phenomenon. Therefore, the modeling of the Hotchkiss spring requires many considerations to fulfill satisfactory vehicle kinematic and dynamic relationships. Also, the spring has difficulties in modeling for presenting contact mechanism. In this paper, the modeling technique for the Hotchkiss spring has been descried. The modeling covers non-linear characteristics as well as contact problems for multi-body dynamic simulation. The force-displacement results are compared with experimental and FEM ones. Also, the comparison between three link type leaf spring model and proposed one has been considered in this paper.

Non-linear Correlation Between Hole Edge Condition and Hole Expansion Ratio (구멍 파단면 상태와 구멍확장률 간의 비선형 상관관계 분석)

  • Jeong, B.S.;Cho, W.;Park, S.;Jung, J.;Na, H.;Han, H.N.
    • Transactions of Materials Processing
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    • v.30 no.2
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    • pp.74-82
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    • 2021
  • Stretch-flangeability, which is the ability of sheet steels to be deformed into complex shapes, is a critical formability property in automobile body parts. In this study, the center-hole for hole expansion test, which is normally used to evaluate the stretch-flangeability of sheet steels, was prepared by both punching and electrical discharge machining (EDM) methods. Hole expansion ratio (HER) of punched hole was far lower than the HER of EDM drilled hole because of damage/crack in hole-edge due to punching process. The effect of hole-edge condition on HER was quantified by mechanical, fractographic and geometric factors. Based on these factors, the empirical equation used to determine HER for various sheet steels was derived using non-linear regression.

A Non-linear Model for Dynamic Analysis of Reactor Internals (원자로내부구조물의 동적해석을 위한 비선형모델)

  • Myung-J.Jhun;Sang-G.Chang;Song, Heuy-G.
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.04a
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    • pp.165-172
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    • 1993
  • A non-linear mathematical model has been developed for the dynamic analysis of the reactor internals. The model includes a lumped mass and stiffness with non-linear members such as gap-spring. As hydrodynamic couplings have also been considered in the model, the effect of fluid/structure interaction between internals components due to their immersion in a confining fluid can be studied for the dynamic response analysis. The reactor internals responses for seismic and pipe break excitations have been calculated for the case of with-and without-hydrodynamic couplings.

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A curved shell finite element for the geometrically non-linear analysis of box-girder beams curved in plan

  • Calik-Karakose, Ulku H.;Orakdogen, Engin;Saygun, Ahmet I.;Askes, Harm
    • Structural Engineering and Mechanics
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    • v.52 no.2
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    • pp.221-238
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    • 2014
  • A four-noded curved shell finite element for the geometrically non-linear analysis of beams curved in plan is introduced. The structure is conceived as a sequence of macro-elements (ME) having the form of transversal segments of identical topology where each slice is formed using a number of the curved shell elements which have 7 degrees of freedom (DOF) per node. A curved box-girder beam example is modelled using various meshes and linear analysis results are compared to the solutions of a well-known computer program SAP2000. Linear and non-linear analyses of the beam under increasing uniformly distributed loads are also carried out. In addition to box-girder beams, the proposed element can also be used in modelling open-section beams with curved or straight axes and circular plates under radial compression. Buckling loads of a circular plate example are obtained for coarse and successively refined meshes and results are compared with each other. The advantage of this element is that curved systems can be realistically modelled and satisfactory results can be obtained even by using coarse meshes.

A comparative study of the models to predict aeroelastic vibrations of circular cylinder and chimneys

  • Rahman, Saba;Jain, Arvind K.;Bharti, S.D.;Datta, T.K.
    • Wind and Structures
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    • v.35 no.1
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    • pp.35-54
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    • 2022
  • A comparative study of aeroelastic vibrations of spring-mass cylinder and chimneys, with the help of a few wake oscillator models available in the literature, is presented. The models include those proposed by Facchinetti, Farshidian and Dolatabadi method-I, Farshidian and Dolatabadi method-II, de Langre, Skop and Griffin. Besides, the linear model proposed by Simiu and Scanlan is also incorporated in the study. For chimneys, the first mode oscillation is considered, and the top displacements of the chimneys are evaluated using the considered models. The results of the analytical model are compared with those obtained from the numerical solution of the wake-oscillator coupled equations. The response behavior of the cylinder and three chimneys of different heights are studied and compared with respect to critical parametric variations. The results of the study indicate that the numerical analysis is essential to capture the effect of non-linear aeroelastic phenomena in the solutions, especially for small damping. Further, except for the models proposed by Farshidian and Dolatabadi, other models predict nearly the same responses. The non-linear model predicts a much higher response as compared to the linear model.

Investigating the effects of span arrangements on DDBD-designed RC buildings under the skew seismic attack

  • Alimohammadi, Dariush;Abadi, Esmaeel Izadi Zaman
    • Structural Engineering and Mechanics
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    • v.77 no.1
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    • pp.115-135
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    • 2021
  • This paper focuses on examining the effects of span arrangements on displacement responses of plan-symmetric RC frame buildings designed using the direct displacement-based design (DDBD) method by employing non-linear analyses and the skew seismic attack. In order to show the desired performance of DDBD design approach, the force-based design approach is also used to examine the seismic performance of the selected structures. To realize this objective, 8-story buildings with different plans are selected. In addition, the dynamic behavior of the structures is evaluated by selecting 3, 7, and 12-story buildings. In order to perform non-linear analyses, OpenSees software is used for modeling buildings. Results of an experimental model are used to validate the analytical model implemented in OpenSees. The results of non-linear static and non-linear dynamic analyses indicate that changing span arrangements does not affect estimating the responses of structures designed using the DDBD approach, and the results are more or less the same. Next, in order to apply the earthquake in non-principle directions, DDBD structures, designed for one-way performance, are designed again for two-way performance. Time history analyses are performed under a set of artificial acceleration pairs, applied to structures at different angles. It is found that the mean maximum responses of earthquakes at all angles have very good agreement with the design-acceptable limits, while the response of buildings along the height direction has a relatively acceptable and uniform distribution. Meanwhile, changes in the span arrangements did not have a significant effect on displacement responses.

THE EFFECT OF VISCOSITY, SPECIMEN GEOMETRY AND ADHESION ON THE LINEAR POLYMERIZATION SHRINKAGE MEASUREMENT OF LIGHT CURED COMPOSITES (점도, 시편형태 그리고 접착의 유무가 광중합 복합레진의 선형중합수축의 측정에 미치는 영향)

  • Lee, In-Bog;Son, Ho-Hyun;Kwon, Hyuk-Chun;Um, Chung-Moon;Cho, Byeong-Hoon
    • Restorative Dentistry and Endodontics
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    • v.28 no.6
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    • pp.457-466
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    • 2003
  • The aim of study was to investigate the effect of flow, specimen geometry and adhesion on the measurement of linear polymerization shrinkage of light cured composite resins using linear shrinkage measuring device. Four commercially available composites - an anterior posterior hybrid composite Z100, a posterior packable composite P60 and two flowable composites, Filtek flow and Tetric flow-were studied. The linear polymerization shrinkage of composites was determined using 'bonded disc method' and 'non-bond-ed' free shrinkage method at varying C-factor in the range of 1∼8 by changing specimen geometry. These measured linear shrinkage values were compared with free volumetric shrinkage values. The viscosity and flow of composites were determined and compared by measuring the dropping speed of metal rod under constant load. In non-bonded method, the linear shrinkage approximated one third of true volumetric shrink-age by isotropic contraction. However, in bonded disc method, as the bonded surface increased the linear shrinkage increased up to volumetric shrinkage value by anisotropic contraction. The linear shrinkage value increased with increasing C-factor and approximated true volumetric shrinkage and reached plateau at about C-factor 5∼6. The more flow the composite was, reduced linear shrinkage was measured by compensation radial flow.

Earthquake Response Analysis at Port Island during the 1995 Hyogoken-nanbu Earthquake(Japan) (일본 한신 대지진에 있어서의 포트 아일랜드의 지진응답해석)

  • 황성춘
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2000.04a
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    • pp.477-484
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    • 2000
  • Earthquake response analyses are conducted for the investigation of the ground shaking during the 1995 Hyogoken-nambu earthquake. Port Island a man made island with about 8{{{{ KAPPA m^2 }} area is chosen for this purpose Because earthquake measurement with vertical array was conducted there. Strain dependent characteristics of soil can be modeled well into Hardin-Drnevich Model. Four analyses are conducted : total stress analysis by equivalent linear method non-linear method. and two effective stress analyses. All analyses except equivalent linear analysis show fairy good agreement with observed record mainly because the non-linear behavior of Holocene clay layer has predominant effect on the behavior of fill, However detailed investigation show that effective stress analyses give much better prediction than total stress analyses.

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Second order integral sliding mode observer and controller for a nuclear reactor

  • Surjagade, Piyush V.;Shimjith, S.R.;Tiwari, A.P.
    • Nuclear Engineering and Technology
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    • v.52 no.3
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    • pp.552-559
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    • 2020
  • This paper presents an observer-based chattering free robust optimal control scheme to regulate the total power of a nuclear reactor. The non-linear model of nuclear reactor is linearized around a steady state operating point to obtain a linear model for which an optimal second order integral sliding mode controller is designed. A second order integral sliding mode observer is also designed to estimate the unmeasurable states. In order to avoid the chattering effect, the discontinuous input of both observer and controller are designed using the super-twisting algorithm. The proposed controller is realized by combining an optimal linear tracking controller with a second order integral sliding mode controller to ensure minimum control effort and robustness of the closed-loop system in the presence of uncertainties. The condition for the selection of gains of discontinuous control based on the super-twisting algorithm is derived using a strict Lyapunov function. Performance of the proposed observer based control scheme is demonstrated through non-linear simulation studies.