• 제목/요약/키워드: layered finite element

검색결과 297건 처리시간 0.026초

유전 알고리즘을 활용한 완전파형역산 기법의 층상 반무한 지반 전단파 속도 추정 (Estimation of Shear-Wave Velocities of Layered Half-Space Using Full Waveform Inversion with Genetic Algorithm)

  • 이진호;이세혁
    • 한국전산구조공학회논문집
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    • 제34권4호
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    • pp.221-230
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    • 2021
  • 전역 최적화 문제의 해를 유전 알고리즘을 사용하여 얻어 완전파형역산을 수행하고 층상 반무한체의 물성치를 추정하는 기법을 제안한다. 조화 수직 하중이 작용하는 층상 반무한체의 동적 응답을 측정하고, 이를 추정 물성치를 사용하여 계산된 응답과 비교한다. 응답의 추정치는 mid-point integrated finite element와 perfectly matched discrete layer를 사용하여 구성된 thin-layer model로부터 얻는다. 전역 최적화 문제의 목적 함수는 응답의 관측치와 추정치의 차이에 대한 L2-norm으로 계산된다. 유전 알고리즘을 사용하여 전역 최적화 문제의 해를 구하여 완전파형역산을 수행한다. 제안된 기법을 기본 진동 모드 뿐만이 아니라 고차 진동 모드도 우세한 다양한 층상 반무한 매질에 적용하여, 측정치가 잡음을 포함하지 않는 경우와 포함하는 경우 모두에 대해서 제안된 완전파형역산 기법은 층상 반무한체의 재료 특성을 추정하는데 적합함을 확인할 수 있다.

An approximate spectral element model for the dynamic analysis of an FGM bar in axial vibration

  • Lee, Minsik;Park, Ilwook;Lee, Usik
    • Structural Engineering and Mechanics
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    • 제61권4호
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    • pp.551-561
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    • 2017
  • As FGM (functionally graded material) bars which vibrate in axial or longitudinal direction have great potential for applications in diverse engineering fields, developing a reliable mathematical model that provides very reliable vibration and wave characteristics of a FGM axial bar, especially at high frequencies, has been an important research issue during last decades. Thus, as an extension of the previous works (Hong et al. 2014, Hong and Lee 2015) on three-layered FGM axial bars (hereafter called FGM bars), an enhanced spectral element model is proposed for a FGM bar model in which axial and radial displacements in the radial direction are treated more realistic by representing the inner FGM layer by multiple sub-layers. The accuracy and performance of the proposed enhanced spectral element model is evaluated by comparison with the solutions obtained by using the commercial finite element package ANSYS. The proposed enhanced spectral element model is also evaluated by comparison with the author's previous spectral element model. In addition, the effects of Poisson's ratio on the dynamics and wave characteristics in example FGM bars are numerically investigated.

하중기반 유한요소모델에 의한 FRP 보강 철근콘크리트 기둥의 비선형 해석 (Nonlinear Analysis of FRP Strengthened Reinforced Concrete Columns by Force-Based Finite Element Model)

  • 조창근
    • 콘크리트학회논문집
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    • 제25권5호
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    • pp.529-537
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    • 2013
  • 이 연구의 목적은 하중기반 유한요소 정식화에 의한 FRP 보강된 철근콘크리트 보 또는 기둥 부재의 비선형 층상화의 등매개 골조 유한요소모델을 개발하는데 있다. 단면에서 콘크리트는 3축 응력-변형률 관계로 모델화하고 FRP 피복층은 2차원의 적층복합재료로 모델화하였다. 하중기반 유한요소의 요소강성행렬은 변위형상함수의 가정이 없고 하중보간함수를 갖고 있다. 횡 하중을 받는 GFRP 시트 보강된 철근콘크리트 기둥의 실험에 대해 개발된 하중기반 유한요소모델에 의한 해석을 수행하였다. 기존 강성도법의 유한요소해석과 비교하여 하중기반 유한요소해석은 전체적인 하중-변위 관계 뿐만 아니라 기둥의 소성힌지영역에서의 비선형 변형 및 손상을 보다 정확히 예측해 주었다.

Dynamic analysis of porous functionally graded layered deep beams with viscoelastic core

  • Assie, Amr;Akbas, Seref D.;Kabeel, Abdallah M.;Abdelrahman, Alaa A.;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제43권1호
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    • pp.79-90
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    • 2022
  • In this study, the dynamic behavior of functionally graded layered deep beams with viscoelastic core is investigated including the porosity effect. The material properties of functionally graded layers are assumed to vary continuously through thickness direction according to the power-law function. To investigate porosity effect in functionally graded layers, three different distribution models are considered. The viscoelastically cored deep beam is exposed to harmonic sinusoidal load. The composite beam is modeled based on plane stress assumption. The dynamic equations of motion of the composite beam are derived based on the Hamilton principle. Within the framework of the finite element method (FEM), 2D twelve -node plane element is exploited to discretize the space domain. The discretized finite element model is solved using the Newmark average acceleration technique. The validity of the developed procedure is demonstrated by comparing the obtained results and good agreement is detected. Parametric studies are conducted to demonstrate the applicability of the developed methodology to study and analyze the dynamic response of viscoelastically cored porous functionally graded deep beams. Effects of viscoelastic parameter, porosity parameter, graduation index on the dynamic behavior of porous functionally graded deep beams with viscoelastic core are investigated and discussed. Material damping and porosity have a significant effect on the forced vibration response under harmonic excitation force. Increasing the material viscosity parameters results in decreasing the vibrational amplitudes and increasing the vibration time period due to increasing damping effect. Obtained results are supportive for the design and manufacturing of such type of composite beam structures.

복합재료 지능구조물의 제어를 위한 압전소자를 이용한 변형형상예측 (Shape Estimation for the Control of Composite Smart Sstructure Using Piezoceramics)

  • 하성규;조영수
    • 대한기계학회논문집A
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    • 제20권4호
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    • pp.1133-1145
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    • 1996
  • A method is proposed to predict the deformed shape of the structure subjected to the unknown external loads using the signal from the piezoceramic sensors. Such a shape estimation is based on the linear relationship between the deformation of structure and the signal from sensor, which is calculated using finite element method. The deformed shape is, then calculated using the linear matrix and the signals from the piezoceramic sensors attached to the structures. For the purpose, a structural analysis program is developed using a multi-layerd finite element of 8 nodes with 3 displacement and one voltage degrees of freedom at each node. The multiple layers with the different material properties can be layered within the element. The incompatible mode with the element is found to be crucial to catch the bending behavior accurately. The accuracy of the program is, then, verified by being compared with the experimental results performed by Crawley. The proposed shape estimation method is also verified for the different loads and sensor size. It is shown that the results of shape estimation method using the linear matrix well predicts the deflections compared with those of finite element method.

유한 요소 모형을 이용한 어린이의 머리 충격 부상에 관한 연구 (An analysis of the Child Head Impact Injury with Finite Element Model)

  • 김영은;남대훈;왕규창
    • 한국안전학회지
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    • 제12권4호
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    • pp.169-179
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    • 1997
  • The dynamic response of the human brain to direct impact was studied by three-dimensional finite element modeling. The model includes a layered shell closely representing the cranial bones with the interior contents occupied by an incompressible continuum to simulate the brain. Falx and tentorium modeled with 4 node membrane element were also incorporated. The computed pressure-time histories at 4 locations within the brain element compared quite favorably with previously published experimental data from cadaver experiments. Therefore, the purpose of this study was to determine the effects of the impact direction on the dynamic response of the brain in children. A parametric study was subsequently conducted to identify the model response when the age and impact site were varied.

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인간 뇌의 충격 부상에 대한 유한요소모델 개발에 관한 연구 (Development of Finite Element Model for impact Human Brain Injury)

  • 김영은;남대훈;왕규창
    • 한국자동차공학회논문집
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    • 제4권4호
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    • pp.97-106
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    • 1996
  • The impact response of the human brain has been determined by three-dimensional finite element modeling. The model includes a layered shell closely representing the cranial bones with the interior contents occupied by an incompressible contimuum to simulate the brain. Flax and tentorium modeled with 4 node membrane element were also incorporated. The computed pressure-time histories at 4 locations within the brain element compared quite favorably with previously published experimental data from cadaver experiments. A parametric study was subsequently conducted to identify the model response when the impact were varied.

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복합체에 대한 연속체 방정식 및 유한요소 프로그램의 개발 (Development of Continuum Equations and Finite Element Method Program for Composite Systems)

  • 임종균;박문호
    • 대한토목학회논문집
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    • 제8권2호
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    • pp.155-166
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    • 1988
  • 본 연구는 복합체의 단부영향을 고려한 등각균등질, 이방성의 모델개발과 이에따른 유한요소해석 프로그램 개발에 중점을 두었다. 복합체는 2차원의 수평층을 가지며 선형, 탄성, 작은변형에 제한을 두었다. 본 연구에서 개발된 등가 균등질의 이론은 복합체의 전반적인 거동을 포함시킴은 물론 층과 수직인 경계면과 그 부근에 형성되는 단부의 영향과 층의 경계면에 생기는 응력집중 현상을 나타낼 수 있게 하였다. 이론개발에 있어 1차변수는 $C_0$연속의 유한요소 근사치를 가지도록 하였으며 이를위해 최고 1차의 미분치가 변형에너지에 나타나도록 변수를 택하였다. 결과적으로 유한요소해석은 매우 간단하고 경제적이었으며 이들의 정당성과 정확도를 입증하기위하여 여러하중 조건하의 복합체를 풀이하였다.

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접지평면상의 공간에 위치한 마이크로스트립 페치 단일 안테나와 배열 안테나에 의한 산란과 복 사에 관한 혼합유한요소법 해석 (An Analysis of the Hybrid Finite Element Method for Scattering and Radiation by Microstrip Patch Antennas and Arrays Residing in a Cavity in a Ground Plane)

  • 안중수;박동희;권희훈
    • 한국통신학회논문지
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    • 제19권12호
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    • pp.2468-2478
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    • 1994
  • 혼합유한요소법은 접지평면내의 구멍에 존재하는 마이크로스트립 패치 단일 및 병렬안테나의 전자파 산란과 복사성질의 특성화에 대해 제시되었다. 해석방법은 개구부상에서 전자장과 자유공간에서 R.C.S(Radar Cross Section)와 산란 전자장의 해에 대한 계통적 수식화를 위해 유한요소법과 경제적분법을 혼합한다. 제시된 방법은 유한요소법의 특성에 따라 손실 및 무손실 유전체 기판상에 존재하거나 박힌 단일 및 병렬 패치안테나에 적용할 수 있고, 또한 여러형태의 여기구조를 다룰 수 있다. 여러 수치적 결과들을 제시된 방법의 타당성, 효율성 그리고 가능성을 입증하기 위해 제시되었다

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Time-domain analyses of the layered soil by the modified scaled boundary finite element method

  • Lu, Shan;Liu, Jun;Lin, Gao;Wang, Wenyuan
    • Structural Engineering and Mechanics
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    • 제55권5호
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    • pp.1055-1086
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    • 2015
  • The dynamic response of two-dimensional unbounded domain on the rigid bedrock in the time domain is numerically obtained. It is realized by the modified scaled boundary finite element method (SBFEM) in which the original scaling center is replaced by a scaling line. The formulation bases on expanding dynamic stiffness by using the continued fraction approach. The solution converges rapidly over the whole time range along with the order of the continued fraction increases. In addition, the method is suitable for large scale systems. The numerical method is employed which is a combination of the time domain SBFEM for far field and the finite element method used for near field. By using the continued fraction solution and introducing auxiliary variables, the equation of motion of unbounded domain is built. Applying the spectral shifting technique, the virtual modes of motion equation are eliminated. Standard procedure in structural dynamic is directly applicable for time domain problem. Since the coefficient matrixes of equation are banded and symmetric, the equation can be solved efficiently by using the direct time domain integration method. Numerical examples demonstrate the increased robustness, accuracy and superiority of the proposed method. The suitability of proposed method for time domain simulations of complex systems is also demonstrated.