• 제목/요약/키워드: frame finite element

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프레임 구조물의 확률론적 동적 민감도 해석에 관한 연구 (A Study on the Stochastic Sensitivity Analysis in Dynamics of Frame Structure)

  • 부경대학교
    • 수산해양기술연구
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    • 제35권4호
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    • pp.435-447
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    • 1999
  • It is main objective of this approach to present a method to analyse stochastic design sensitivity for problems of structural dynamics with randomness in design parameters. A combination of the adjoint variable approach and the second order perturbation method is used in the finite element approach. An alternative form of the constant functional that holds for all times is introduced to consider the time response of dynamic sensitivity. The terminal problem of the adjoint system is solved using equivalent homogeneous equations excited by initial velocities. The numerical procedures are shown to be much more efficient when based on the fold superposition method: the generalized co-ordinates are normalized and the correlated random variables are transformed to uncorrelated variables, whereas the secularities are eliminated by the fast Fourier transform of complex valued sequences. Numerical algorithms have been worked out and proved to be accurate and efficient : they can be readily adapted to fit into the existing finite element codes whose element derivative matrices can be explicitly generated. The numerical results of two cases -2 dimensional portal frame for the comparison with reference and 3-dimensional frame structure - for the deterministic sensitivity analysis are presented.

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평면 프레임 구조물의 유한요소 비선형 해석을 위한 효율적인 수치해석 방법에 관한 연구 (A study on improving efficiency in computational procedure of finite element nonlinear analysis of plane frame structures)

  • 구정서;이병채;곽병만
    • 대한기계학회논문집
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    • 제12권4호
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    • pp.631-641
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    • 1988
  • 본 연구에서는 선형 탄성 해석의 결과를 이용하여 초기 하중 증분량을 결정하 는 방법을 제안한다. 또 Crisfield의 방법에서 부분적으로 발생하는 수치적 불안정 을 개선하고 수치 해석의 효율을 제고시키기 위하여 하중 증감의 판정 방법과 변위 증 분 길이의 예측 방법을 제안한다.

Interval finite element analysis of masonry-infilled walls

  • Erdolen, Ayse;Doran, Bilge
    • Structural Engineering and Mechanics
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    • 제44권1호
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    • pp.73-84
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    • 2012
  • This paper strongly addresses to the problem of the mechanical systems in which parameters are uncertain and bounded. Interval calculation is used to find sharp bounds of the structural parameters for infilled frame system modeled with finite element method. Infill walls are generally treated as non-structural elements considerably to improve the lateral stiffness, strength and ductility of the structure together with the frame elements. Because of their complex nature, they are often neglected in the analytical model of building structures. However, in seismic design, ignoring the effect of infill wall in a numerical model does not accurately simulate the physical behavior. In this context, there are still some uncertainties in mechanical and also geometrical properties in the analysis and design procedure of infill walls. Structural uncertainties can be studied with a finite element formulation to determine sharp bounds of the structural parameters such as wall thickness and Young's modulus. In order to accomplish this sharp solution as much as possible, interval finite element approach can be considered, too. The structural parameters can be considered as interval variables by using the interval number, thus the structural stiffness matrix may be divided into the product of two parts which correspond to the interval values and the deterministic value.

Modeling of local buckling in tubular steel frames by using plastic hinges with damage

  • Inglessis, Pether;Medina, Samuel;Lopez, Alexis;Febres, Rafael;Florez-Lopez, Julio
    • Steel and Composite Structures
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    • 제2권1호
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    • pp.21-34
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    • 2002
  • A model of the process of local buckling in tubular steel structural elements is presented. It is assumed that this degrading phenomenon can be lumped at plastic hinges. The model is therefore based on the concept of plastic hinge combined with the methods of continuum damage mechanics. The state of this new kind of inelastic hinge is characterized by two internal variables: the plastic rotation and the damage. The model is valid if only one local buckling appears in the plastic hinge region; for instance, in the case of framed structures subjected to monotonic loadings. Based on this damage model, a new finite element that can describe the development of local buckling is proposed. The element is the assemblage of an elastic beamcolumn and two inelastic hinges at its ends. The stiffness matrix, that depends on the level of damage, the yielding function and the damage evolution law of the two hinges define the new finite element. In order to verify model and finite element, several small-scale frames were tested in laboratory under monotonic loading. A lateral load at the top of the frame was applied in a stroke-controlled mode until local buckling appears and develops in several locations of the frame and its ultimate capacity was reached. These tests were simulated with the new finite element and comparison between model and test is presented and discussed.

엄밀한 동적 요소를 이용한 유한 요소 동적 모델의 개선 (Improvement of the finite element dynamic model by using exact dynamic elements)

  • 조용주;김종욱;홍성욱
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.590-595
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    • 2001
  • To improve the modeling accuracy for the finite element method, this paper proposes a method to make a combined use of finite elements and exact dynamic elements. Exact interpolation functions for a Timoshenko beam element are derived and compared with interpolation functions of the finite element method (FEM). The exact interpolation functions are tested with the Laplace variable varied. The exact interpolation functions are used to gain more accurate mode shape functions for the finite element method. This paper also presents a combined use of finite elements and exact dynamic elements in design problems. A Timoshenko frame with tapered sections is tested to demonstrate the design procedure with the proposed method.

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전달행렬과 강성행렬에 의한 탄성지반상의 원형탱크해석 (An Analysis of Cylindrical Tank of Elastic Foundation by Transfer Matrix and Stiffness Matrix)

  • 남문희;하대환;이관희;장홍득
    • 전산구조공학
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    • 제10권1호
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    • pp.193-200
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    • 1997
  • 탄성지반상의 원형탱크해석에는 여러방법이 있지만 최근에 널리 사용되는 방법은 유한요소법이다. 그러나 이 방법은 탄성지반상의 탱크해석시 많은 절점수가 필요하게 된다. 이것은 곧 많은 계산기 기억용량 및 계산시간 뿐만 아니라 노력이 필요하게 된다. 본 연구에서는 유사탄성지반보(Analogy of Beam on Elastic Foundation) 및 지반강성행렬(Foundation Stiffness Matrix)을 이용하여 축대칭하중을 받는 축대칭탱크를 뼈대 구조화 할 수 있었다. 또한 이 뼈대 구조를 유한요소로 분할하고, 각 요소 강성행렬(Stiffness Matrix)을 전달행렬(Transfer Matrix)로 전환하여 전달행렬법으로 원형탱크를 해석 할 수 있었다. 유한요소법과 전달행렬법을 탄성지반상의 원형탱크 해석에 적용한 결과 두 해석결과의 차이는 없고, 전달행렬법을 적용한 경우 최종 연립방정식수가 4개로 간략화 되었다.

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Nonlinear interaction analysis of infilled frame-foundation beam-homogeneous soil system

  • Hora, M.S.
    • Coupled systems mechanics
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    • 제3권3호
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    • pp.267-289
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    • 2014
  • A proper physical modeling of infilled building frame-foundation beam-soil mass interaction system is needed to predict more realistic and accurate structural behavior under static vertical loading. This is achieved via finite element method considering the superstructure, foundation and soil mass as a single integral compatible structural unit. The physical modelling is achieved via use of finite element method, which requires the use of variety of isoparametric elements with different degrees of freedom. The unbounded domain of the soil mass has been discretized with coupled finite-infinite elements to achieve computational economy. The nonlinearity of soil mass plays an important role in the redistribution of forces in the superstructure. The nonlinear behaviour of the soil mass is modeled using hyperbolic model. The incremental-iterative nonlinear solution algorithm has been adopted for carrying out the nonlinear elastic interaction analysis of a two-bay two-storey infilled building frame. The frame and the infill have been considered to behave in linear elastic manner, whereas the subsoil in nonlinear elastic manner. In this paper, the computational methodology adopted for nonlinear soil-structure interaction analysis of infilled frame-foundation-soil system has been presented.

Failure analysis of reinforced concrete frames with short column effect

  • Caglar, Naci;Mutlu, Mahir
    • Computers and Concrete
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    • 제6권5호
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    • pp.403-419
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    • 2009
  • Short column effect is cause to failure of columns which may result in severe damages or even collapse during earthquakes. The scope of the study is mainly to reveal the effect of short column on the holistic behaviour of the buildings. The nonlinear analysis of 31 different frame buildings containing short column problem are carried out using finite element method. The finite element models were selected by 2 bays and 3 stories. Since the short columns are generally seen in the first storey of the buildings, in the study, they are only constructed in the same storey. The adverse effect of the short column on the response of buildings was shown in terms of the total load factor and displacement capacity of building. The response of buildings in terms of ground storey displacements is presented in figures and discussed. It is revealed that if the window openings are constructed along the bays, the total load capacity is decreased 85% compared with reference model in which all of bays are filled with infill walls.

유한요소해석을 활용한 전자관(CRT)의 마이크로포닉 현상 개선에 관한 연구 (Reduction of Microphonic Phenomenon in Cathode Ray Tube(CRT) by Finite Element Analysis)

  • 김성대;서장원;김석관;정봉교
    • 소음진동
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    • 제6권4호
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    • pp.493-497
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    • 1996
  • TVs or computer monitors with speakers often have a phenomenon called microphonic which shows fringe-like dark pattern on their screens. The major source of this phenomenon is vibration of the shadow mask inside of the Cathode RAY Tube(CRT) which is caused by the sound generated from the speakers. Reducing phenomenon microphonic by modifying the structure of the shadow mask frame in CRT has been examined in this study. A 15" for computer monitor were chosen. Using finite element analysis for vibration and impact, shape of the shadow mask frame was found to reduce microphonic phenomeon. Improved 15" monitors showed good results.d results.

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Simplified finite element modelling of non uniform tall building structures comprising wall and frame assemblies including P-Δ effects

  • Belhadj, Abdesselem Hichem;Meftah, Sid Ahmed
    • Earthquakes and Structures
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    • 제8권1호
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    • pp.253-273
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    • 2015
  • The current investigation has been conducted to examine the effect of gravity loads on the seismic responses of the doubly asymmetric, three-dimensional structures comprising walls and frames. The proposed model includes the P-${\Delta}$ effects induced by the building weight. Based on the variational approach, a 3D finite element with two nodes and six DOF per node including P-${\Delta}$ effects is formulated. Dynamic and static governing equations are derived for dynamic and buckling analyzes of buildings braced by wall-frame systems. The influences of P-${\Delta}$ effects and height of the building on tip displacements under Hachinohe earthquake record are investigated through many structural examples.