• 제목/요약/키워드: rational finite element method

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3차원 유한요소해석에 의한 Umbrella Arch 공법으로 보강된 터널의 거동 해석 (Three-Dimensional Finite Element Analysis on Tunnel Behaivor Reinforced by Umbrella Arch Method)

  • 유충식;신승우
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1995년도 가을 학술발표회 논문집
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    • pp.211-216
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    • 1995
  • In recent years, Natm has been successfully applied to difficult ground conditions with the use of soil-perservention methods which promote face stability and restrict excessive ground movement. When the tunnle excavation od made through difficult ground like highly weathered rock, the umbrella arch method is often adopted which pre-reinforceas tunnel crown periphery using a stiff shell-shaped structure. The umbrella arch method was originally developed in Itali, and has recently been confirmed its effectiveness in Korea as well. However, no in depth study on the umbrella arch method has been conducted ans as a result no rational analysis/design method is available at present. Therefore this study was undertaken with the aim of identifying the basic reinforcing mechanism and satablishing both qualitative and quantiative relationships between various design parameters and ground movements.

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Hybrid of topological derivative-based level set method and isogeometric analysis for structural topology optimization

  • Roodsarabi, Mehdi;Khatibinia, Mohsen;Sarafrazi, Seyyed R.
    • Steel and Composite Structures
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    • 제21권6호
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    • pp.1389-1410
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    • 2016
  • This paper proposes a hybrid of topological derivative-based level set method (LSM) and isogeometric analysis (IGA) for structural topology optimization. In topology optimization a significant drawback of the conventional LSM is that it cannot create new holes in the design domain. In this study, the topological derivative approach is used to create new holes in appropriate places of the design domain, and alleviate the strong dependency of the optimal topology on the initial design. Furthermore, the values of the gradient vector in Hamilton-Jacobi equation in the conventional LSM are replaced with a Delta function. In the topology optimization procedure IGA based on Non-Uniform Rational B-Spline (NURBS) functions is utilized to overcome the drawbacks in the conventional finite element method (FEM) based topology optimization approaches. Several numerical examples are provided to confirm the computational efficiency and robustness of the proposed method in comparison with derivative-based LSM and FEM.

개선된 가중적분법과 반무한 영역의 해석 (Improved Weighted Integral Method and Application to Analysis of Semi-infinite Domain)

  • 노혁천;최창근
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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    • pp.369-376
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    • 2002
  • The stochastic analysis of semi-infinite domain is presented using the weighted integral method, which is improved to include the higher order terms in expanding the displacement vector. To improve the weighted integral method, the Lagrangian remainder is taken into account in the expansion of the status variable with respect to the mean value of the random variables. In the resulting formulae only the 'proportionality coefficients' are introduced in the resulting equation, therefore no additional computation time and memory requirement is needed. The equations are applied in analyzing the semi-infinite domain. The results obtained by the improved weighted integral method are reasonable and are in good agreement with those of the Monte Carlo simulation. To model the semi-infinite domain, the Bettess's infinite element is adopted, where the theoretical decomposition of the strain-displacement matrix to calculate the deviatoric stiffness of the semi-infinite domains is introduced. The calculated value of mean and the covariance of the displacement are revealed to be larger than those given by the finite domain assumptions which is thought to be rational and should be considered in the design of structures on semi-infinite domains.

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EDF 시스템의 동적 특성 연구를 위한 모델링 개발 (Development of Modeling for Dynamic Response of EDF System)

  • 한규승;박선규;이인원
    • 한국구조물진단유지관리공학회 논문집
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    • 제5권1호
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    • pp.218-227
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    • 2001
  • 논문에서는 여러 면진장치 중의 하나인 EDF(Electricite De France)시스템의 거동 특성에 대해서 연구하였다. 우선, 범용 유한요소 프로그램의 요소인 Nllink element를 사용하여 합리적인 EDF 시스템의 모델링 기법을 제시하였다. 그리고, 조화함수를 외력으로 주었을 때 시스템의 운동방정식의 이론해와 유한요소 프로그램을 통한 수치해를 서로 비교하여 모델링의 타당성을 검증하였다. 또, Newmark-${\beta}$법을 이용하여 실제 지진 가속도를 입력하였을 때의 거동을 비교함으로서 모델링의타당성을 검증하였다. 이렇게 검증된 모델링을 실제 교량이나 다자유도 구조물에 적용할 수 있다.

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Estimation for Primary Tunnel Lining Loads

  • 김학준
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1998년도 터널.암반역학위원회 박사학위 논문집
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    • pp.153-204
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    • 1998
  • Prediction of lining loads due to tunnelling is one of the major issues to be addressed in the design of a tunnel. The objective of this study is to investigate rational and realistic design loads on tunnel linings. factors influencing the lining load are summarized and discussed. The instruments for measuring the lining loads are reviewed and discussed because field measurements are often necessary to verify the design methods. Tunnel construction in the City of Edmonton has been very active for storm and sanitary purposes. Since the early 1970's, the city has also been developing an underground Light Rail Transit system. The load measurements obtained from these tunnels are compared with the results from the existing design methods. However, none of the existing methods are totally satisfactory, Therefore, there is some room for improvement in the prediction of lining loads. The convergence-confinement method is reviewed and applied to a case history of a tunnel in Edmonton. The convergence curves are obtained from 2-D finite element analyses using three different material models and theoretical equations. The limitation of the convergence-confinement method is discussed by comparing these curves with the field measurements. Three-dimensional finite element analyses are performed to gain a better understanding of stress and displacement behaviour near the tunnel face. An improved design method is proposed based on the review of existing design methods and the performance of numerical analyses. A specific method or combination of two different methods is suggested for the estimation of lining loads for different conditions of tunnelling. A method to determine the stress reduction factor is described. Typical values of dimensionless load factors nD/H for tunnels in Edmonton are obtained from parametric analyses. Finally, the loads calculated using the proposed method are compared with field measurements collected from various tunnels in terms of soil types and construction methods to verify the method. The proposed method gives a reasonable approximation of the lining loads. The proposed method is recommended as an approximate guideline for the design of tunnels, but the results should be confirmed by field measurements due to the uncertainties of the ground and lining properties and the construction procedures, This is the reason that in-situ monitoring should be an integral part of the design procedure.

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Full-scale tests and finite element analysis of arched corrugated steel roof under static loads

  • Wang, X.P.;Jiang, C.R.;Li, G.Q.;Wang, S.Y.
    • Steel and Composite Structures
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    • 제7권4호
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    • pp.339-354
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    • 2007
  • Arched Corrugated Steel Roof (ACSR) is a kind of thin-walled steel shell, composing of arched panels with transverse small corrugations. Four full-scale W666 ACSR samples with 18m and 30m span were tested under full and half span static vertical uniform loads. Displacement, bearing capacities and failure modes of the four samples were measured. The web and bottom flange in ACSR with transverse small corrugations are simplified to anisotropic curved plates, and the equivalent tensile modulus, shear modulus and Poisson's ratio of 18m span ACSR were measured. Two 18 m-span W666 ACSR samples were analyzed with the Finite Element Analysis program ABAQUS. Base on the tests, the limit bearing capacity of ACSR is low, and for half span loading, it is 74-75% compared with the full span loading. When the testing load approached to the limit value, the bottom flange at the sample's bulge place locally buckled first, and then the whole arched roof collapsed suddenly. If the vertical loads apply along the full span, the deformation shape is symmetric, but the overall failure mode is asymmetric. For half span vertical loading, the deformation shape and the overall failure mode of the structure are asymmetric. The ACSR displacement under the vertical loads is large and the structural stiffness is low. There is a little difference between the FEM analysis results and testing data, showing the simplify method of small corrugations in ACSR and the building techniques of FEM models are rational and useful.

골수술용 압전형 초음파 의료기기 개발을 위한 유한요소해석 및 이의 실험적 검증 (Finite Element Analysis for the Development of Bone Surgery Piezoelectric Ultrasonic Medical Device and its Experimental Verification)

  • 송태하;이중호;최종균;이희원
    • 대한의용생체공학회:의공학회지
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    • 제43권5호
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    • pp.319-330
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    • 2022
  • In this study, the optimal driving frequency was derived through finite element analysis (FEA) to optimize the developed piezoelectric ultrasonic medical devices(PUMD) for bone surgery. The core of the PUMD is the piezoelectric ceramic (PZT), which is a vibrator that generates vibration energy. The piezoelectric ceramic shows the maximum current value with respect to the input voltage at the resonance frequency, which generates the maximum mechanical vibration. In the past, various studies have been conducted related to the analysis of PUMD, but most of the research so far has been limited to free vibration analysis. However, in order to derive the accurate resonant frequency, the initial stress generated by bolt tightening in the bolt-clamped Langevin type transducer (BLT) must be considered. In this study, after designing a PUMD, the driving performance according to the bolt tightening value was analyzed through FEA, and this was experimentally verified. First, the resonance mode and frequency response were confirmed through modal and harmonic analysis at 20-40 kHz, which is known as the optimal driving frequency band of PUMD for bone surgery. In addition, the design of the PUMD was confirmed by checking the mechanical behavior of the tip and the piezoelectric ceramic at the resonant frequency. Consequentially, the characteristic evaluation was performed, and it was confirmed that the resonant frequency result derived through the FEA was reasonable. Through this study, we presented a more rational FEA method than before for BLT transducers. We expect that this will shorten the time and cost of developing a PUMD, and will enable the development of more stable and high-quality products.

Seismic behavior and design method of socket self-centering bridge pier with hybrid energy dissipation system

  • Guo, Mengqiang;Men, Jinjie;Fan, Dongxin;Shen, Yanli
    • Earthquakes and Structures
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    • 제23권3호
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    • pp.271-282
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    • 2022
  • Seismic resisting self-centering bridge piers with high energy dissipation and negligible residual displacement after an earthquake event are focus topics of current structural engineering. The energy dissipation components of typical bridge piers are often relatively single; and exhibit a certain level of damage under earthquakes, leading to large residual displacements and low cumulative energy dissipation. In this paper, a novel socket self-centering bridge pier with a hybrid energy dissipation system is proposed. The seismic resilience of bridge piers can be improved through the rational design of annular grooves and rubber cushions. The seismic response was evaluated through the finite element method. The effects of rubber cushion thickness, annular groove depth, axial compression ratio, and lateral strength contribution ratio of rubber cushion on the seismic behavior of bridge piers are systematically studied. The results show that the annular groove depth has the greatest influence on the seismic performance of the bridge pier. Especially, the lateral strength contribution ratio of the rubber cushion mainly depends on the depth of the annular groove. The axial compression ratio has a significant effect on the ultimate bearing capacity. Finally, the seismic design method is proposed according to the influence of the above research parameters on the seismic performance of bridge piers, and the method is validated by an example. It is suggested that the range of lateral strength contribution ratio of rubber cushion is 0.028 ~ 0.053.

잔류응력 및 변형을 고려한 용접평판부재의 최종강도 해석 (The Ultimate Strength Analysis of the Welded Plate Elements having Resiual Stresses and Strains)

  • 김병일
    • 한국항만학회지
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    • 제14권3호
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    • pp.331-340
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    • 2000
  • For the rational and economic design of the structural elements of ships which is built using welding, the ultimate strength analyses of the plates having initial imperfections, such as welding residual stresses and strains, are needful. The welding deformation usually relied on approximative equations or based on expert's experience. But in this paper, for the thermal elasto-plastic analysis of plates, the finite element analysis was performed, based on initial strain method. In formulating the incremental analysis, unbalanced force terns were included. In the plastic domain during the incremental process, the 2nd order terns stress increment and yield stress increment were considered, so that time increment could be controlled for a more stable solution. The ultimate strength analysis program of the plates having initial imperfections was made. The ultimate strength analysis was carried out based on the results of the welding deformations of this paper. In the ultimate strength analysis the Rayleigh-Ritz method based on the minimum potential theory was used.

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거대한 평판형 격자구조물의 연속체 모델링에 관한 연구 (A Study on Continuum Modeling of Large Platelike Lattice Structures)

  • 이우식;신현재
    • 전산구조공학
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    • 제3권4호
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    • pp.105-112
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    • 1990
  • 거대한 평판형 격자구조물을 연속체 평판으로 모델링하기 위한 보다 용이한 기법을 에너지동등 개념에 근거하여 제시하였다. 단위격자가 갖는 탄성변형에너지와 운동에너지를 구할때 기존의 유한요소행렬을 이용하였다. 연속체 평판의 등가물성치는 연속체평판과 격자평판에 해당하는 축소된 강성 및 질량행렬들을 직접 비교하여 구하였다. 본 연구에서 제안된 모델링기법이 기존의 잘 알려진 기법들에 못지 않는 좋은 결과를 보여주고 있음을 예제해석을 통해 확인하였다.

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