• 제목/요약/키워드: Element Stiffness Matrix

검색결과 497건 처리시간 0.025초

탄성 및 비탄성 좌굴 고유치해석을 이용한 강뼈대구조의 유효좌굴길이 (Determination of Effective Buckling Length of Plane Frames using Elastic and Inelastic System Buckling Analysis)

  • 송주영;경용수;김문영
    • 한국전산구조공학회논문집
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    • 제18권2호
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    • pp.169-179
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    • 2005
  • 탄성 및 비탄성좌굴 고유치해석법을 이용하여 강절프레임의 보-기둥부재의 유효좌굴길이를 산정하는 개선된 방법을 제시한다. 이를 위하여 먼저 설계기준에 제시된 압축재의 내하력 곡선식으로부터 접선계수이론(tangent modulus theory)에 근거하여 세장비-접선계수(tangent modulus), 응력-변형률 곡선식을 유도한다. 이때 안정함수를 이용하여 보-기둥요소의 접선강성행렬을 얻고, 비탄성 좌굴 고유치해석법을 제시하며 이를 이용하여 유효좌굴길이를 산정하는 방법을 제시한다. 해석예제를 통하여 강절프레임에 탄성 및 비탄성좌굴해석법에 의한 유효좌굴길이 비교결과를 제시하고, 매개변수 연구 결과를 제시한다.

Effective buckling length of steel column members based on elastic/inelastic system buckling analyses

  • Kyung, Yong-Soo;Kim, Nam-Il;Kim, Ho-Kyung;Kim, Moon-Young
    • Structural Engineering and Mechanics
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    • 제26권6호
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    • pp.651-672
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    • 2007
  • This study presents an improved method that uses the elastic and inelastic system buckling analyses for determining the K-factors of steel column members. The inelastic system buckling analysis is based on the tangent modulus theory for a single column and the application is extended to the frame structural system. The tangent modulus of an inelastic column is first derived as a function of nominal compressive stress from the column strength curve given in the design codes. The tangential stiffness matrix of a beam-column element is then formulated by using the so-called stability function or Hermitian interpolation functions. Two inelastic system buckling analysis procedures are newly proposed by utilizing nonlinear eigenvalue analysis algorithms. Finally, a practical method for determining the K-factors of individual members in a steel frame structure is proposed based on the inelastic and/or elastic system buckling analyses. The K-factors according to the proposed procedure are calculated for numerical examples and compared with other results in available references.

Improving the linear flexibility distribution model to simultaneously account for gravity and lateral loads

  • Habibi, AliReza;Izadpanah, Mehdi
    • Computers and Concrete
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    • 제20권1호
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    • pp.11-22
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    • 2017
  • There are two methods to model the plastification of members comprising lumped and distributed plasticity. When a reinforced concrete member experiences inelastic deformations, cracks tend to spread from the joint interface resulting in a curvature distribution; therefore, the lumped plasticity methods assuming plasticity is concentrated at a zero-length plastic hinge section at the ends of the elements, cannot model the actual behavior of reinforced concrete members. Some spread plasticity models including uniform, linear and recently power have been developed to take extended inelastic zone into account. In the aforementioned models, the extended inelastic zones in proximity of critical sections assumed close to connections are considered. Although the mentioned assumption is proper for the buildings simply imposed lateral loads, it is not appropriate for the gravity load effects. The gravity load effects can influence the inelastic zones in structural elements; therefore, the plasticity models presenting the flexibility distribution along the member merely based on lateral loads apart from the gravity load effects can bring about incorrect stiffness matrix for structure. In this study, the linear flexibility distribution model is improved to account for the distributed plasticity of members subjected to both gravity and lateral load effects. To do so, a new model in which, each member is taken as one structural element into account is proposed. Some numerical examples from previous studies are assessed and outcomes confirm the accuracy of proposed model. Also comparing the results of the proposed model with other spread plasticity models illustrates glaring error produced due to neglecting the gravity load effects.

Bandgap capability of hybrid Kirigami inspired cellular structures

  • Del Broccolo, S.;Ouisse, M.;Foltete, E.;Scarpa, F.
    • Advances in aircraft and spacecraft science
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    • 제6권6호
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    • pp.479-495
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    • 2019
  • Periodic cellular core structures included in sandwich panels possess good stiffness while saving weight and only lately their potential to act as passive vibration filters is increasingly being studied. Classical homogeneous honeycombs show poor vibracoustic performance and only by varying certain geometrical features, a shift and/or variation in bandgap frequency range occurs. This work aims to investigate the vibration filtering properties of the AUXHEX "hybrid" core, which is a cellular structure containing cells of different shapes. Numerical simulations are carried out using two different approaches. The first technique used is the harmonic analysis with commercially available software, and the second one, which has been proved to be computationally more efficient, consists in the Wave Finite Element Method (WFEM), which still makes use of finite elements (FEM) packages, but instead of working with large models, it exploits the periodicity of the structure by analysing only the unit cell, thanks to the Floquet-Bloch theorem. Both techniques allow to produce graphs such as frequency response plots (FRF's) and dispersion curves, which are powerful tools used to identify the spectral bandgap signature of the considered structure. The hybrid cellular core pattern AUXHEX is analysed and results are discussed, focusing the investigation on the possible spectral bandgap signature heritage that a hybrid core experiences from their "parents" homogeneous cell cores.

단계적 파괴 모델에 의한 적층 복합재료의 충격거동 해석 (Impact Behavior of Laminated Composite using Progressive Failure Model)

  • 강문수;이경우;강태진
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2000년도 추계학술발표대회 논문집
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    • pp.102-105
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    • 2000
  • Recently, applications of integrated large composite structures have been attempted to many structures of vehicles. To improve the cost performance and reliability of the integrated composite structures, it is necessary to judge structural integrity of the composite structures. For the judgement, we need fracture simulation techniques for composite structures. Many researches oil the fracture simulation method using FEM have been reported by now. Most of the researches carried out simulations considering only matrix cracking and fiber breaking as fracture modes, and did not consider delamination. Several papers have reported the delamination simulation, but all these reports require three-dimensional elements or quasi three- dimensional elements for FEM analysis. Among fracture mechanisms of composite laminates, delamination is the most important factor because it causes stiffness degradation in composite structures. It is known that onset and propagation of delamination are dominated by the strain energy release rate and interfacial moment. In this study, laminated composite has been described by using 3 dimensional finite elements. Then impact behavior of the laminated composite is simulated using FEM(ABAQUS/Explicit) with progressive failure mechanism. These results are compared with experimental results.

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A Numerical and Experimental Study on Dynamics of A Towed Low-Tension Cable

  • 정동호;박한일
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 추계학술대회 논문집
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    • pp.191-196
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    • 2002
  • The paper presents a numerical and experimental investigation on dynamic behaviors of a towed low tension cable. In the numerical study, an implicit finite difference algorithm is employed for three-dimensional cable equations. Fluid and geometric non-linearity and bending stiffness are considered and solved by Newton-Raphson iteration. Block tri-diagonal matrix method is applied for the fast calculation of the huge size of matrices. In order to verify the numerical results and to see real physical phenomena, an experiment is carried out for a 6m cable in a deep and long towing tank. The cable is towed in two different ways; one is towed at a constant speed and the other is towed at a constant speed with top end horizontal oscillations. Cable tension and shear forces are measured at the top end. Numerical and experimental results are compared with good agreements in most cases but with some differences in a few cases. The differences are due to drag coefficients caused by vortex shedding. In the numerical modeling, non-uniform element length needs to be employed to cope with the sharp variation of tension and shear forces at near top end.

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Evaluating the spread plasticity model of IDARC for inelastic analysis of reinforced concrete frames

  • Izadpanaha, Mehdi;Habibi, AliReza
    • Structural Engineering and Mechanics
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    • 제56권2호
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    • pp.169-188
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    • 2015
  • There are two types of nonlinear analysis methods for building frameworks depending on the method of modeling the plastification of members including lumped plasticity and distributed plasticity. The lumped plasticity method assumes that plasticity is concentrated at a zero-length plastic hinge section at the ends of the elements. The distributed plasticity method discretizes the structural members into many line segments, and further subdivides the cross-section of each segment into a number of finite elements. When a reinforced concrete member experiences inelastic deformations, cracks tend to spread form the joint interface resulting in a curvature distribution. The program IDARC includes a spread plasticity formulation to capture the variation of the section flexibility, and combine them to determine the element stiffness matrix. In this formulation, the flexibility distribution in the structural elements is assumed to be the linear. The main objective of this study is to evaluate the accuracy of linear flexibility distribution assumed in the spread inelasticity model. For this purpose, nonlinear analysis of two reinforced concrete frames is carried out and the linear flexibility models used in the elements are compared with the real ones. It is shown that the linear flexibility distribution is incorrect assumption in cases of significant gravity load effects and can be lead to incorrect nonlinear responses in some situations.

높은 세장비를 가진 복합재 날개 구조의 효율적인 고기능 설계를 위한 구조해석 해석 라이브러리 개발 (Structural Analysis Library Development for Efficient High-Fidelity Composite Rotor Blade and Wing Design with High Aspect Ratio)

  • 박제홍;장준환
    • 한국군사과학기술학회지
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    • 제22권4호
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    • pp.460-466
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    • 2019
  • It takes a lot of time and human resources to build a detailed three-dimensional finite element analysis model that is almost similar to the actual structure for sophisticated analysis, and a lot of experience and know-how is required to form a reliable analytical model. In this paper, the one-dimensional beam model connected by stiffness matrix through blade analysis library was compared with the results of three-dimensional analysis with the stress calculated through the process of dimensional restoration analysis based on the principle of virtual work. By comparing the stress calculated through dimensional restoration analysis with the three-dimensional analytical model, We will introduce the development status and application case of the blade analysis library by comparing efficiency and accuracy.

동적 거동을 받는 철근 콘크리트 뼈대 구조의 최적화 (Optimization of Reinforced Concrete Frames Subjected to Dynamic Loads)

  • 박문호;김상진
    • 대한토목학회논문집
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    • 제14권3호
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    • pp.439-452
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    • 1994
  • 본 논문에서는 동적하중을 받는 철근 콘크리트 뼈대구조의 경비 최적설계방법과 한계상태 설계 최적화 알고리즘을 제시하였다. 뼈대구조의 동적반응은 모드 중첩법을 이용하여 해석하였으며 뼈대구조의 각 부재를 두 개 이상의 요소로 구성하여 각 요소의 절점에서는 축방향, 횡방향 및 휨방향의 거동을 규명할 수 있도록 3 d.o.f(자유도)로 구성된 강성 매트릭스와 질량 매트릭스를 사용하였다. 철근과 콘크리트의 주 재료 경비로 유도한 목적함수는 한계 상태 설계 규정에 따라 철근 콘크리트 뼈대구조의 역학적 거동의 문제와 사용성 제약조건을 만족하면서 최적화를 이루도록 하였다. 목적함수와 제약조건은 단면의 유효깊이, 보의 폭, 인장과 압축 철근의 단면적, 기둥의 전단 철근 단면적들의 설계변수로 유도하였으며 최적화 문제를 형성하였다. 몇가지 예제를 통하여 동적거동을 고려한 철근 콘크리트 뼈대구조의 자동화된 최적 설계 알고리즘의 가능성, 타당성 및 효율성을 검토하였다.

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복합재료 샌드위치 엔드플레이트의 연료전지 냉시동성 향상에 미치는 효과 (Effect of Composite Sandwich Endplates on the Improvement of Cold Start Characteristics for PEMFC)

  • 서정도;고재준;안병기;유하나;이대길
    • 한국수소및신에너지학회논문집
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    • 제22권6호
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    • pp.859-867
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    • 2011
  • The cold start problem is one of major obstacles to overcome for the commercialization of fuel cell vehicles. However, the cold start characteristics of fuel cell systems are very complicated since various phenomena, i.e. ice-blocking, electro-chemical reactions, heat transfer, and defrosting of BOP components, are involved in them. This paper presents a framework to approach the problem at a full stack scale using Axiomatic Design (AD). It was characterized in terms of Functional Requirements (FRs) and Design Parameters (DPs) while their relations were established in a design matrix. Considering the design matrix, the endplates should have low thermal conductivity and capacity without increase in weight or decrease in structural stiffness. Consequently, composite sandwich endplates were proposed and examined both through finite element analyses and experiments simulating cold start conditions. From the examinations, it was found that the composite sandwich endplates significantly contributed to improving the cold start characteristics of PEMFC.