• Title/Summary/Keyword: Nonlinear load

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Application of Energy Dissipation Capacity to Earthquake Design (내진 설계를 위한 에너지 소산량 산정법의 활용)

  • 임혜정;박홍근;엄태성
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.6
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    • pp.109-117
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    • 2003
  • Traditional nonlinear static and dynamic analyses do not accurately estimate the energy dissipation capacity of reinforced concrete structure. Recently, simple equations which can accurately calculate the energy dissipation capacity of flexure-dominated RC members, were developed in the companion study. In the present study, nonlinear static and dynamic analytical methods improved using the energy-evaluation method were developed. For nonlinear static analysis, the Capacity Spectrum Method was improved by using the energy-spectrum curve newly developed. For nonlinear dynamic analysis, a simplified energy-based cyclic model of reinforced concrete member was developed. Unlike the existing cyclic models which are the stiffness-based models, the proposed cyclic model can accurately estimate the energy dissipating during complete load-cycles. The procedure of the proposed methods was established and the computer program incorporating the analytical method was developed. The proposed analytical methods can estimate accurately the energy dissipation capacity varying with the design parameters such as shape of cross-section, reinforcement ratio and arrangement, and can address the effect of the energy dissipation capacity on the structural performance under earthquake load.

Simplified Nonlinear Dynamic Progressive Collapse Analysis of Welded Steel Moment Frames Using Collapse Spectrum (붕괴스펙트럼을 활용한 용접철골모멘트골조의 비선형 동적 연쇄붕괴 근사해석)

  • Lee, Cheol Ho;Kim, Seon Woong;Lee, Kyung Koo;Han, Kyu Hong
    • Journal of Korean Society of Steel Construction
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    • v.21 no.3
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    • pp.267-275
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    • 2009
  • This paper presents the behavior of column-removed double-span beams in welded steel moment frames and proposes a simplified nonlinear dynamic analysis method for the preliminary evaluation of progressive collapse potential. The nonlinear finite element analysis and the associated analytical study showed that the column gravity load and the beam span-to-depth ratio govern the maximum dynamic deformation demand of the double-span beams. Based on these results, the concept of a collapse spectrum, which describes the relationship between the gravity load parameter and the maximum chord rotation of the double-span beams, was newly proposed. A procedure for the application of the collapse spectrum to multi-story welded steel moment frames was then suggested. The inelastic dynamic finite element analysis results showed that the proposed method gives satisfactory prediction of the nonlinear progressive collapse behavior of welded steel moment frames.

The Evaluation of Axial Stress in Continuous Welded Rails via Three-Dimensional Bridge-Track Interaction

  • Manovachirasan, Anaphat;Suthasupradit, Songsak;Choi, Jun-Hyeok;Kim, Bum-Joon;Kim, Ki-Du
    • International journal of steel structures
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    • v.18 no.5
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    • pp.1617-1630
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    • 2018
  • The crucial differences between conventional rail with split-type connectors and continuous welded rails are axial stress in the longitudinal direction and stability, as well as other issues generated under the influence of loading effects. Longitudinal stresses generated in continuously welded rails on railway bridges are strongly influenced by the nonlinear behavior of the supporting system comprising sleepers and ballasts. Thus, the track structure interaction cannot be neglected. The rail-support system mentioned above has properties of non-uniform material distribution and uncertainty of construction quality. The linear elastic hypothesis therefore cannot correctly evaluate the stress distribution within the rails. The aim of this study is to apply the nonlinear finite element method using the nonlinear coupling interface between the track and structural model and to illustrate the welded rail behavior under the loading effect and uncertain factors of the ballast. Numerical results of nonlinear finite analysis with a three-dimensional solid and frame element model are presented for a typical track-bridge system. A composite plate girder, modeled by solid and shell elements, is also analyzed to consider the behavior of the welded rail. The analysis result showed buckling under the independent calculations of load cases, including 'temperature change', 'bending of the supporting structure', and 'braking' of the railway vehicle. A parametric study of the load combination method and the loading sequence is also included in this analysis.

SPMTool: A computer application for analysis of reinforced concrete structures by the Stringer-Panel Method - Validation of nonlinear models

  • Andre Felipe Aparecido de Mello;Leandro Mouta Trautwein;Luiz Carlos de Almeida;Rafael Alves de Souza
    • Computers and Concrete
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    • v.34 no.1
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    • pp.1-14
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    • 2024
  • The design of disturbed regions in reinforced concrete structures usually applies the well known Strut and Tie Method (STM). As an alternative, the Stringer-Panel Method (SPM), an intermediate model between STM and the Finite Element Method (FEM), consists in dividing a structure into two distinct elements: the stringers (which carry axial forces) and panels (which carry shear forces). SPM has already showed good applicability in manual calculations and computer implementations, and its most known application was SPanCAD, an AutoCAD plugin for linear and nonlinear analysis by SPM. Unfortunately, SPanCAD was discontinued by the developers, and it's not compatible with the most recent versions of AutoCAD. So, this paper aims to present a computer program that was developed as an upgrade to the latter: the Stringer Panel Modelling Tool (SPMTool), which is intended to be an auxiliary design tool and it presents improvements, in comparison to SPanCAD. It is possible to execute linear and nonlinear analysis by three distinct formulations: Modified Compression Field Theory (MCFT), Disturbed Stress Field Model (DSFM) and Softened Membrane Model (SMM). The nonlinear results were compared to experimental data of reinforced concrete elements that were not designed by SPM; these elements were also analyzed in SPanCAD. On overall, SPMTool made more realistic predictions to the behavior of the analyzed structures than SPanCAD. Except for DSFM predictions for corbels (1.24), in overall average, the ultimate load predictions were conservative (0.85 to 0.98), which is a good aspect for a design tool. On the other hand, the cracking load predictions presented overestimations (1.06 to 1.47) and higher variations (25.59% to 34.25%) and the post-cracking behavior could not be accurately predicted; for this use case, a more robust finite element software is recommended.

A Simplified Bridge-vessel Collision Model Considering with the Rotational Motions of the Vessel (선체의 회전을 고려한 선박과 교량의 간이충돌모델)

  • Lee, GyeHee
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.2A
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    • pp.43-49
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    • 2011
  • In this study, to analyze the collision behaviors of the bridge super-structure and the vessel which the collision point is located far from its rotation center such as bridge of a vessel and equipments on a barge, the simplified collision model was proposed. The model was configured to denote the mass, stiffness and the nonlinear behaviors of the bridge and the vessel. The nonlinear equation of motions of the proposed model were numerically solved by 4th order Runge-Kutta method. The parametric studies were performed for various collision conditions by the standardized Korean barge vessel in term of barge width, and its effects to the maximum collision load of bridge were analyzed.

Comprehensive evaluation of structural geometrical nonlinear solution techniques Part I: Formulation and characteristics of the methods

  • Rezaiee-Pajand, M.;Ghalishooyan, M.;Salehi-Ahmadabad, M.
    • Structural Engineering and Mechanics
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    • v.48 no.6
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    • pp.849-878
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    • 2013
  • This paper consists of two parts, which broadly examines solution techniques abilities for the structures with geometrical nonlinear behavior. In part I of the article, formulations of several well-known approaches will be presented. These solution strategies include different groups, such as: residual load minimization, normal plane, updated normal plane, cylindrical arc length, work control, residual displacement minimization, generalized displacement control, modified normal flow, and three-parameter ellipsoidal, hyperbolic, and polynomial schemes. For better understanding and easier application of the solution techniques, a consistent mathematical notation is employed in all formulations for correction and predictor steps. Moreover, other features of these approaches and their algorithms will be investigated. Common methods of determining the amount and sign of load factor increment in the predictor step and choosing the correct root in predictor and corrector step will be reviewed. The way that these features are determined is very important for tracing of the structural equilibrium path. In the second part of article, robustness and efficiency of the solution schemes will be comprehensively evaluated by performing numerical analyses.

Load-Displacement Formulations of Low-rise Unbounded RC Shear Walls with or without Openings

  • Lou, K. Y.;Cheng, F. Y.;Sheu, M. S.;Zhang, X. Z.
    • Computational Structural Engineering : An International Journal
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    • v.1 no.2
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    • pp.117-130
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    • 2001
  • Investigations of low-rice unbounded reinforced concrete shear walls with or without openings are performed with comparison of analytical and experimental results. Theoretical analysis is based on nonlinear finite element algorithm, which incorporates concrete failure criterion and nonlinear constitutive relationships. Studios focus on the effects of height-to-length ratio of shear walls, opening ratio, horizontal and vertical reinforcement radios, and diagonal reinforcement. Analytical solutions conform well with experimental results. Equations for cracking, yielding and ultimate loads with corresponding lateral displacements are derived by regression using analytical results and experimental data. Also, failure modes of low-rise unbounded shear walls are theoretically investigated. An explanation of change in failure mode is ascertained by comparing analytical results and ACI code equations. Shear-flexural failure can be obtained with additional flexural reinforcement to increase a wall's capacity. This concept leads to a design method of reducing flexural reinforcement in low-rise bounded solid shear wall's. Avoidance of shear failure as well as less reinforcement congestion leer these walls is expected.

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Speed Control of IPMSM Using Nonlinear and Adaptive Back-Stepping Controller Including Integral Gain (적분 이득의 비선형 적응 백스텝핑 제어 기법을 적용한 IPMSM의 속도 제어)

  • Jung, Seung-Hwan;Choy, Ick;Jeon, Yong-Ho
    • The Journal of the Korea institute of electronic communication sciences
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    • v.8 no.6
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    • pp.881-889
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    • 2013
  • In this paper, a nonlinear and adaptive back-stepping control technique is proposed for a speed control of IPMSM(Interior Permanent Magnet Synchronous Motor). The gain of back-stepping controller(including integral value of the states error) is designed for stability of the system. In order to adapting fast in variation of load torque, the controller is including load torque estimator. The simulation is completed by using PSIM software. The simulation results show that the designed back-stepping controller make the system stable in the constant torque region, and has better tracking performance than a controller without the integral gain.

The stability of semi-rigid skeletal structures accounting for shear deformations

  • Gorgun, Halil
    • Structural Engineering and Mechanics
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    • v.57 no.6
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    • pp.1065-1084
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    • 2016
  • The analysis and design of skeletal structures is greatly influenced by the behaviour of beam-to-column connections, where patented designs have led to a wide range of types with differing structural quantities. The behaviour of beam-to-column connections plays an important role in the analysis and design of framed structures. This paper presents an overview of the influence of connection behaviour on structural stability, in the in-plane (bending) mode of sway. A computer-based method is presented for geometrically nonlinear plane frames with semi-rigid connections accounting for shear deformations. The analytical procedure employs transcendental modified stability functions to model the effect of axial force on the stiffness of members. The member stiffness matrix were found. The critical load has been searched as a suitable load parameter for the loss of stability of the system. Several examples are presented to demonstrate the validity of the analysis procedure. The method is readily implemented on a computer using matrix structural analysis techniques and is applicable for the efficient nonlinear analysis of frameworks. Combined with a parametric column effective length study, connection and frame stiffness are used to propose a method for the analysis of semi-rigid frames where column effective lengths are greatly reduced and second order (deflection induced) bending moments in the column may be distributed via the connectors to the beams, leading to significant economies.

Seismic Performance Evaluation of Existing Low-rise RC Frames with Non-seismic Detail (비내진상세를 가지는 기존 저층 철근콘크리트 골조의 내진거동평가)

  • Kim, Kyung Min;Lee, Sang Ho;Oh, Sang Hoon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.17 no.3
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    • pp.97-105
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    • 2013
  • In this paper, the a static experiment of on two reinforced concrete (RC) frame sub-assemblages was conducted to evaluate the seismic behaviors of existing RC frames that were not designed to support a seismic load. The specimens were a one span and actual-sized. One of them had two columns with the same stiffness, but the other had two columns with different stiffness values. As Regarding the test results, lots of many cracks occurred on the surfaces of the columns and beam-column joints for the two specimens, but the cover concrete splitting hardly occurred was minimal until the test ends. In the case of the specimen with the same stiffness offor the two columns, the flexural collapse of the left-side column occurred. However, in the case of the specimen with different stiffness values for of the two columns, the beam-column joint finally collapsed, even though the shear strength of the joint was designed to be strong enough to support the lateral collapse load. The nonlinear Nonlinear static analysis of the two specimens was also conducted using the uniaxial spring model, and the analytical results successfully simulated the nonlinear behaviour of the specimens in accordance with the test results.