• 제목/요약/키워드: Structural equations model

검색결과 741건 처리시간 0.027초

Seismic assessment of steel structures through a cumulative damage

  • Perera, R.;Gomez, S.;Alarcon, E.
    • Steel and Composite Structures
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    • 제1권3호
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    • pp.283-294
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    • 2001
  • In the present work a constitutive model is developed which permits the assessment of the structural performance through a criterion based on cumulative damage. For it, a damage index is defined and is evaluated through the application of the Miner's rule in low-cycle fatigue. However, the damage index is not considered as a posteriori variable since is incorporated explicitly as an internal variable in the constitutive equations which produces a direct coupling between the damage and the structural mechanical behaviour allowing the possibility of considering as a whole different coupled phenomena. For the elaboration of this damage model, the concepts of the mechanics of continuum medium are applied on lumped dissipative models in order to obtain a coupled simplified model. As a result an elastoplastic model coupled with damage and fatigue damage is obtained.

자기장을 받는 복합재료 판의 동적 특성 연구 (Dynamic Characteristics of Composite Plates Subjected to Electromagnetic Field)

  • 김성균;이근우;문제권;최종운;김영준;박상윤;송오섭
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 춘계학술대회 논문집
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    • pp.681-688
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    • 2011
  • Structural model of laminated composite plates based on the first order shear deformable plate theory and subjected to a combination of magnetic and thermal fields is developed. Coupled equations of motion are derived via Hamilton's principle on the basis of electromagnetic equations (Faraday, Ampere, Ohm, and Lorenz equations) and thermal equations which are involved in constitutive equations. In order to obtain the implications of a number of geometrical and physical features of the model, one special case is investigated, that is, free vibration of a composite plate immersed in a transversal magnetic field. Special coupling effects between the magnetic and elastic fields are revealed in this paper.

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Numerical analysis of interference galloping of two identical circular cylinders

  • Blazik-Borowa, E.;Flaga, A.
    • Wind and Structures
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    • 제1권3호
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    • pp.243-253
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    • 1998
  • The paper deals with numerical analysis of interference galloping of two elastically supported circular cylinders of equal diameters. The basis of the analysis is quasi-steady model of this phenomenon. The model assumes that both cylinders participate in process of interference galloping and they have two degrees of freedom. The movement of the cylinders is written as a set of four nonlinear differential equations. On the basis of numerical solutions of this equations the authors evaluate the correctness of this quasi-steady model. Then they estimate the dependence of a critical reduced velocity on the Scruton number, turbulence intensity and arrangements of the cylinders.

고속철도차량(TGV)-교량 상호작용의 단순화된 3차원 해석모델 (A Model for Simplified 3-dimensional Analysis of High-speed Train Vehicle (TGV)-Bridge Interactions)

  • 최창근;송명관;양신추
    • 한국전산구조공학회논문집
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    • 제13권2호
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    • pp.165-178
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    • 2000
  • 본 연구에서는 고속철도차량(TGV)이 교량 상을 통과할 경우 교량의 동적 거동을 해석하기 위한 단순화된 3차원 차량-교량 상호작용해석 모델을 제시한다. 축하중 편심 모델링 방법을 도입하여 교량에 작용하는 축하중에 의한 비틀림력과 교량의 비틀림 회전변위의 영향을 고려하여 보다 정확한 교량의 거동에 대한 해석 결과를 얻는다. 앞기관차, 뒷기관차, 객차들에 대해서 운동에너지, 포텐셜에너지, 감쇠에너지를 차량과 교량의 자유도로 각각 나타내고, Lagrange의 운동방정식을 적용하여 차량과 교량의 운동방정식을 유도한다. 또한, 차량-교량 사이에 상호작용을 고려하여 교량에 작용하게 되는 하중에 관한 식을 유도하며, 이러한 하중을 받는 교량의 운동 방정식이 구성된다. 시간경과에 따라 차량의 위치를 결정하면서 그 위치에 따른 차량-교량 시스템의 질량행렬, 강성행렬, 감쇠행렬, 그리고 하중벡터를 구성할 수 있고, Newmark의 β방법(평균가속도법)을 이용하여 전체 차량-교량 시스템의 거동을 해석한다.

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Multi-Beams modelling for high-rise buildings subjected to static horizontal loads

  • Sgambi, Luca
    • Structural Engineering and Mechanics
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    • 제75권3호
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    • pp.283-294
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    • 2020
  • In general, the study of a high-rise building's behaviour when subjected to a horizontal load (wind or earthquake) is carried out through numerical modelling with finite elements method. This paper proposes a new, original approach based on the use of a multi-beams model. By redistributing bending and axial stiffness of horizontal elements (beams and slabs) along vertical elements, it becomes possible to produce a system of differential equations able to represent the structural behaviour of the whole building. In this paper this approach is applied to the study of bending behaviour in a 37-storey building (Torre Pontina, Latina, Italy) with a regular reinforced concrete structure. The load considered is the wind, estimated in accordance with Italian national technical rules and regulations. To simplify the explanation of the approach, the wind load was considered uniform on the height of building with a value equal to the average value of the wind load distribution. The system of differential equations' is assessed numerically, using Matlab, and compared with the obtainable solution from a finite elements model along with the obtainable solutions via classical Euler-Bernoulli beam theory. The comparison carried out demonstrates, in the case study examined, an excellent approximation of structural behaviour.

구조 비전형성 및 충격파 간섭효과를 고려한 미사일 날개의 천음속 유체유발 진동특성 (Characteristics of Transonic Flow-Induced Vibration for a Missile Wing Considering Structural Nonlinearity and Shock Inference Effects)

  • 김동현;이인;김승호;김태연
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.914-920
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    • 2002
  • Nonlinear flow-induced vibration characteristics of a generic missile wing (or control surface) are investigated in this study. The wing model has freeplay structural nonlinearity at its pitch axis. Nonlinear aerodynamic flows with unsteady shock waves are considered in the transonic flow region. To practically consider the effects of freeplay structural nonlinearity, the fictitious mass method (FMM) is applied to structural vibration analysis based on a finite element method (FEM). A computational fluid dynamics (CFD) technique is used for computing the nonlinear unsteady aerodynamics of all-movable wings. The aerodynamic analysis is based on the efficient transonic small-disturbance aerodynamic equations of motion using the potential-flow theory. To solve the nonlinear aeroelastic governing equations including the freeplay effect, a modal-based computational structural dynamic (CSD) analysis technique based on fictitious mass method (FMM) is used in time-domain. In addition, CSD and unsteady CFD techniques are simultaneously coupled to give accurate computational results. Various aeroelastic computations have been performed for a generic missile wing model. Linear and nonlinear aeroelastic computations have been conducted and the characteristics of flow-induced vibration are introduced.

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Analysis of thermo-rheologically complex structures with geometrical nonlinearity

  • Mahmoud, Fatin F.;El-Shafei, Ahmed G.;Attia, Mohamed A.
    • Structural Engineering and Mechanics
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    • 제47권1호
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    • pp.27-44
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    • 2013
  • A finite element computational procedure for the accurate analysis of quasistatic thermorheological complex structures response is developed. The geometrical nonlinearity, arising from large displacements and rotations (but small strains), is accounted for by the total Lagrangian description of motion. The Schapery's nonlinear single-integral viscoelastic constitutive model is modified for a time-stress-temperature-dependent behavior. The nonlinear thermo-viscoelastic constitutive equations are incrementalized leading to a recursive relationship and thereby the resulting finite element equations necessitate data storage from the previous time step only, and not the entire deformation history. The Newton-Raphson iterative scheme is employed to obtain a converged solution for the non-linear finite element equations. The developed numerical model is verified with the previously published works and a good agreement with them is found. The applicability of the developed model is demonstrated by analyzing two examples with different thermal/mechanical loading histories.

Interference loads of two cylinders in a side-by-side arrangement

  • Blazik-Borowa, Ewa
    • Wind and Structures
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    • 제9권1호
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    • pp.75-93
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    • 2006
  • This paper presents a quasi-steady model of vibrations of two cylinders in a side-by-side arrangement. The cylinders have flexible support and equal diameters. The model assumes that both cylinders participate in the process of vibration, each of them having two degrees of freedom. The movement of cylinders is described by a set of four non-linear differential equations. These equations are evaluated on the basis of a numerical simulation and experimental data. Moreover many features of cylinder vibrations are found from numerical results and are described in this paper.

Development of the educational management model for dynamic instability analysis in nanocomposite sandwich beam

  • Wenxi Tang;Chunhui Zhou;Maryam Shokravi;X. Kelaxich
    • Advances in nano research
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    • 제17권1호
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    • pp.9-18
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    • 2024
  • This paper presents the development of an educational management model for analyzing the dynamic instability of nanocomposite sandwich beams. The model aims to provide a comprehensive framework for understanding the behavior of sandwich micro beams with foam cores, featuring top and bottom layers made of smart and porous functionally graded materials (FGM) nanocomposites. The bottom layer is influenced by an external electric field, and the entire beam is supported by a visco-Pasternak foundation, accounting for spring, shear, and damping constants. Using the Kelvin-Voigt theory to model structural damping and incorporating size effects based on strain gradient theory, the model employs the parabolic shear deformation beam theory (PSDBT) to derive motion equations through Hamilton's principle. The differential quadrature method (DQM) is applied to solve these equations, accurately identifying the improvement in student understanding (ISU) of the beams. The impact of various parameters, including FGM properties, external voltage, geometric constants, and structural damping, on the DIR is thoroughly examined. The educational model is validated by comparing its outcomes with existing studies, highlighting the increase in ISU with the application of negative external voltage to the smart layer. This model serves as a valuable educational tool for engineering students and researchers studying the dynamic stability of advanced nanocomposite structures.

구조방정식모형을 이용한 고속도로 교통사고 심각도 분석 (Analysis of Traffic Accident Severity for Korean Highway Using Structural Equations Model)

  • 이주연;정진혁;손봉수
    • 대한교통학회지
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    • 제26권2호
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    • pp.17-24
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    • 2008
  • 교통사고를 감소시키고 안전성을 향상시키기 위해, 사고에 영향을 미치는 요인들을 분석하여 교통사고를 예측하는 모형은 지속적으로 개발되어 왔다. 우리나라의 고속국도 총연장은 약 3,000km에 이르며, 이는 전 세계에서 10위 안에 드는 수치이다. 그러나 고속국도 1km당 사고 건수는 다른 나라들에 비하여 현격히 높은 실정인데, 1980년대 이래로 빠르게 증가한 교통수요와 교통관련 인프라의 규모가 이러한 높은 사고율에 영향을 미친 것으로 보인다. 사고율과 함께 중요하게 인식되는 지표는 사고의 심각도이며, 사고 심각도는 도로의 기하구조나 운전자 행태, 차종, 날씨 등 많은 요인들에 의해 직 간접적인 영향을 받을 것으로 판단된다. 이 밖에도 여러 요인들이 복합적으로 작용하여 사고를 일으키고, 사고의 심각도에 영향을 미칠 것으로 보인다. 구조방정식(Structural Equations Model)은 이처럼 여러 가지 변수들 간의 복잡한 관계를 규명하는데 적합한 모형으로, 본 연구에서는 사고 심각도에 영향을 미치는 요인들을 크게 '도로 요인' 및 '운전자 요인', '환경 요인' 등으로 구분하고, 총 2,880개의 사고데이터를 이용하여 구조방정식 모형을 구축, 각각의 변수들이 사고 심각도에 미치는 영향을 분석하였다. 분석 결과, 도로 및 환경 요인은 통계적으로 유의한 수준에서 사고심각도와 강한 관계를 가지는 것으로 나타났다.