• 제목/요약/키워드: vector finite element method

검색결과 234건 처리시간 0.022초

Estimation of residual stress in welding of dissimilar metals at nuclear power plants using cascaded support vector regression

  • Koo, Young Do;Yoo, Kwae Hwan;Na, Man Gyun
    • Nuclear Engineering and Technology
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    • 제49권4호
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    • pp.817-824
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    • 2017
  • Residual stress is a critical element in determining the integrity of parts and the lifetime of welded structures. It is necessary to estimate the residual stress of a welding zone because residual stress is a major reason for the generation of primary water stress corrosion cracking in nuclear power plants. That is, it is necessary to estimate the distribution of the residual stress in welding of dissimilar metals under manifold welding conditions. In this study, a cascaded support vector regression (CSVR) model was presented to estimate the residual stress of a welding zone. The CSVR model was serially and consecutively structured in terms of SVR modules. Using numerical data obtained from finite element analysis by a subtractive clustering method, learning data that explained the characteristic behavior of the residual stress of a welding zone were selected to optimize the proposed model. The results suggest that the CSVR model yielded a better estimation performance when compared with a classic SVR model.

Solution of randomly excited stochastic differential equations with stochastic operator using spectral stochastic finite element method (SSFEM)

  • Hussein, A.;El-Tawil, M.;El-Tahan, W.;Mahmoud, A.A.
    • Structural Engineering and Mechanics
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    • 제28권2호
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    • pp.129-152
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    • 2008
  • This paper considers the solution of the stochastic differential equations (SDEs) with random operator and/or random excitation using the spectral SFEM. The random system parameters (involved in the operator) and the random excitations are modeled as second order stochastic processes defined only by their means and covariance functions. All random fields dealt with in this paper are continuous and do not have known explicit forms dependent on the spatial dimension. This fact makes the usage of the finite element (FE) analysis be difficult. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is used to represent these processes to overcome this difficulty. Then, a spectral approximation for the stochastic response (solution) of the SDE is obtained based on the implementation of the concept of generalized inverse defined by the Neumann expansion. This leads to an explicit expression for the solution process as a multivariate polynomial functional of a set of uncorrelated random variables that enables us to compute the statistical moments of the solution vector. To check the validity of this method, two applications are introduced which are, randomly loaded simply supported reinforced concrete beam and reinforced concrete cantilever beam with random bending rigidity. Finally, a more general application, randomly loaded simply supported reinforced concrete beam with random bending rigidity, is presented to illustrate the method.

Identification of dynamic characteristics of structures using vector backward auto-regressive model

  • Hung, Chen-Far;Ko, Wen-Jiunn;Peng, Yen-Tun
    • Structural Engineering and Mechanics
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    • 제15권3호
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    • pp.299-314
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    • 2003
  • This investigation presents an efficient method for identifying modal characteristics from the measured displacement, velocity and acceleration signals of multiple channels on structural systems. A Vector Backward Auto-Regressive model (VBAR) that describes the relationship between the output information in different time steps is used to establish a backward state equation. Generally, the accuracy of the identified dynamic characteristics can be improved by increasing the order of the Auto-Regressive model (AR) in cases of measurement of data under noisy circumstances. However, a higher-order AR model also induces more numerical modes, only some of which are the system modes. The proposed VBAR model provides a clear characteristic boundary to separate the system modes from the spurious modes. A numerical example of a lumped-mass model with three DOFs was established to verify the applicability and effectiveness of the proposed method. Finally, an offshore platform model was experimentally employed as an application case to confirm the proposed VBAR method can be applied to real-world structures.

Damage detection of plate-like structures using intelligent surrogate model

  • Torkzadeh, Peyman;Fathnejat, Hamed;Ghiasi, Ramin
    • Smart Structures and Systems
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    • 제18권6호
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    • pp.1233-1250
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    • 2016
  • Cracks in plate-like structures are some of the main reasons for destruction of the entire structure. In this study, a novel two-stage methodology is proposed for damage detection of flexural plates using an optimized artificial neural network. In the first stage, location of damages in plates is investigated using curvature-moment and curvature-moment derivative concepts. After detecting the damaged areas, the equations for damage severity detection are solved via Bat Algorithm (BA). In the second stage, in order to efficiently reduce the computational cost of model updating during the optimization process of damage severity detection, multiple damage location assurance criterion index based on the frequency change vector of structures are evaluated using properly trained cascade feed-forward neural network (CFNN) as a surrogate model. In order to achieve the most generalized neural network as a surrogate model, its structure is optimized using binary version of BA. To validate this proposed solution method, two examples are presented. The results indicate that after determining the damage location based on curvature-moment derivative concept, the proposed solution method for damage severity detection leads to significant reduction of computational time compared with direct finite element method. Furthermore, integrating BA with the efficient approximation mechanism of finite element model, maintains the acceptable accuracy of damage severity detection.

접촉면에서 모든 적합조건을 만족시키는 동적인 접촉현상의 해법 (Dynamic Contact Analysis Satisfying All the Compatibility Conditions on the Contact Surface)

  • 이기수
    • 대한기계학회논문집
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    • 제19권5호
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    • pp.1243-1250
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    • 1995
  • For the numerical solution of frictional dynamic contact problems, correct contact points and displacements are determined by iteratively reducing the displacement error vector monotonically toward zero And spurious oscillations are prevented from the solution by enforcing the velocity and acceleration compatibilities of the contact points with the corresponding error vectors. Numerical simulations are conducted to demonstrate the accuracy of the solution and the necessity of the velocity and acceleration compatibilities on the contact surface.

평면 뼈대 구조물의 객체지향 자유진동해석 (Object-Oriented Free Vibration Analysis of Plane Flamed Structures)

  • 신영식;최희옥;서진극
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1993년도 봄 학술발표회논문집
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    • pp.61-68
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    • 1993
  • A computer program for free vibration analysis of plane framed structures has been developed by object oriented programming technique using C" language. The object oriented programming concepts such as object, class, method and inheritance are represented. The static and free vibration analyses for framed structures were satisfactorily performed by this program which consists of TOP, VECTOR, MATRIX, STRU, GUI and other classes. Numerical test shows the validity and capability of the present study which can be expandable to develop a general purpose object oriented finite element analysis program of structures ,res ,

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유연한 지지 구조와 유체 동압 베어링으로 지지되는 HDD의 회전 유연 디스크-스핀들 시스템에 대한 유한 요소 고유 진동 해석 (Finite Element Modal Analysis of a Spinning Flexible Disk-spindle System Supported by Hydro Dynamic Bearings and Flexible Supporting Structures in a HDD)

  • 한재혁;장건희
    • 한국소음진동공학회논문집
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    • 제15권3호
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    • pp.251-258
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    • 2005
  • The free vibration of a spinning flexible disk-spindle system supported by hydro dynamic bearings (HDB) in an HDD is analyzed by FEM. The spinning flexible disk is described using Kirchhoff plate theory and von Karman non-linear strain, and its rigid body motion is also considered. It is discretized by annular sector element. The rotating spindle which includes the clamp, hub, permanent magnet and yoke, is modeled by Timoshenko beam including the gyroscopic effect. The flexible supporting structure with a complex shape which includes stator core, housing, base plate, sleeve and thrust pad is modeled by using a 4-node tetrahedron element with rotational degrees of freedom to satisfy the geometric compatibility. The dynamic coefficients of HDB are calculated from the HDB analysis program, which solves the perturbed Reynolds equation using FEM. Introducing the virtual nodes and the rigid link constraints defined in the center of HDB, beam elements of the shaft are connected to the solid elements of the sleeve and thrust pad through the spring and damper element. The global matrix equation obtained by assembling the finite element equations of each substructure is transformed to the state-space matrix-vector equation, and the associated eigen value problem is solved by using the restarted Arnoldi iteration method. The validity of this research is verified by comparing the numerical results of the natural frequencies with the experimental ones. Also the effect of supporting structures to the natural modes of the total HDD system is rigorously analyzed.

유연한 지지 구조와 유체 동압 베어링으로 지지되는 HDD의 회전 유연 디스크-스핀들 시스템에 대한 유한 요소 고유 진동 해석 (Finite Element Modal Analysis of a Spinning Flexible Disk-Spindle System Supported by Hydro Dynamic Bearings and Flexible Supporting Structures In a HDD)

  • 한재혁;장건희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.572-578
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    • 2003
  • The free vibration of a spinning flexible disk-spindle system supported by hydro dynamic bearings in a HDD is analyzed by FEM. The spinning flexible disk is described using Kirchhoff plate theory and von Karman non-linear strain, and its rigid body motion is also considered. It is discretized by annular sector element. The rotating spindle which includes the clamp, hub, permanent magnet and yoke, is modeled by Timoshenko beam including the gyroscopic effect. The flexible supporting structure with a complex shape which includes stator core, housing, base plate, sleeve and thrust pad is modeled by using a 4-node tetrahedron element with rotational degrees of freedom to satisfy the geometric compatibility. The dynamic coefficients of HDB are calculated from the HDB analysis program, which solves the perturbed Raynolds equation using FEM. Introducing the virtual nodes and the rigid link constraints defined in the center of HDB, beam elements of the shaft are connected to the solid elements of the sleeve and thrust pad through the spring and damper element. The global matrix equation obtained by assembling the finite element equations of each substructure is transformed to the state-space matrix-vector equation, and the associated eigenvalue problem is solved by using the restarted Arnoldi iteration method. The validity of this research is verified by comparing the numerical results of the natural frequencies with the experimental ones. Also the effect of supporting structures to the natural modes of the total HDD system is rigorously analyzed.

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그래프 분할 및 다중 프론탈 기법에 의거한 3차원 전자기장의 병렬 해석 (Parallel Computation on the Three-dimensional Electromagnetic Field by the Graph Partitioning and Multi-frontal Method)

  • 강승훈;송동현;최재원;신상준
    • 한국항공우주학회지
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    • 제50권12호
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    • pp.889-898
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    • 2022
  • 본 논문에서는 3차원 전자기장의 병렬 해석 기법을 제안하였다. 시간 조화 벡터 파동 방정식 및 유한요소 기법에 기반한 전자기장 산란 해석이 수행되었으며, 모서리 기반 요소 및 2차 흡수 경계 조건이 도입되었다. 개발한 알고리즘은 유한요소망을 분할한 뒤 각 프로세서에 할당함으로써 요소별 수치적분 및 행렬 조립 과정의 병렬화를 달성하였다. 이때 부영역 생성을 위해 그래프 분할 라이브러리인 METIS가 도입되었다. 대형 희박행렬 방정식의 계산은 다중 프론탈 기법 기반 병렬 연산 라이브러리인 MUMPS를 통해 수행되었다. 개발된 프로그램의 정확도는 Mie 이론해 및 ANSYS HFSS 결과와의 비교를 통해 검증되었다. 또한 사용된 프로세서 수에 따른 가속 지표를 측정하여 확장성을 확인하였다. 완전 전기 도체 구, 등·이방성 유전체 구 및 유도탄 예제 형상에 대한 전자기장 산란 해석이 수행되었다. 개발된 프로그램의 알고리즘은 추후 유한요소 분할 및 합성법에 활용될 예정이며, 더욱 확장된 병렬 연산 성능을 목표하고자 한다.

Study of Hydrodynamic-Magnetic-Thermal Coupling in a Linear Induction MHD Pump

  • Kadid, Fatima Zohra;Drid, Said;Abdessemed, Rachid
    • Journal of Electrical Engineering and Technology
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    • 제4권2호
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    • pp.249-254
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    • 2009
  • This article deals with the analysis of a coupling between stationary Maxwell's equations, the transient state Navier-Stokes and thermal equations. The resolution of these equations is obtained by introducing the magnetic vector potential A, the vorticity ${\xi}$, the stream function ${\psi}$ and the temperature T. The flux density, the electromagnetic thrust, the electric power density, the velocity, the pressure and the temperature are graphically visualized. Also, the influence of the frequency is presented.