• 제목/요약/키워드: Finite Element Inverse Analysis

검색결과 139건 처리시간 0.024초

대형 LPG 엔진 피스톤의 온도 분포 해석을 위한 열전도 역문제에 관한 연구 (Research on the Inverse Heat Conduction Problem for Thermal Analysis of a Large LPG Engine Piston)

  • 이부윤;박철우;최경호
    • 한국정밀공학회지
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    • 제19권11호
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    • pp.146-159
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    • 2002
  • An efficient method to predict the convection heat transfer coefficients on the top surface of the engine piston is proposed. The method is based on the inverse method of the thermal conduction problem and uses a numerical optimization technique. In the method, the heat transfer coefficients are numerically obtained so that the difference between analyzed temperatures from the finite element method and measured temperatures is minimized. The method can be effectively used to analyze the temperature distribution of engine pistons in case when application of prescribed-temperature boundary condition is not reasonable because of insufficient number of measured temperatures. A hollow sphere problem with an analytic solution is taken as a simple example and accuracy and efficiency is demonstrated. The method is applied to a practical large liquid petroleum gas(LPG) engine piston and the heat transfer coefficients on the top surface of the piston is successfully calculated. Resulting analyzed temperature favorably coincides with measured temperature.

상단 등온조건을 갖는 이차원 슬랩에서의 경계위치 역추정을 위한 유한요소 정식화 (A Finite Element Formulation for the Inverse Estimation of an Isothermal Boundary in Two-Dimensional Slab)

  • 김선경;허훈;이우일
    • 대한기계학회논문집B
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    • 제25권6호
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    • pp.829-836
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    • 2001
  • A dependable boundary reconstruction technique is proposed. The finite element method is used for the analysis of the direct heat conduction problem to realize the deformable grid system. An appropriate strategy for grid update is suggested. A complete sensitivity analysis is performed to obtain the derivatives required for restoration of the optimal boundary. With the result of the sensitivity analysis, the unknown boundary is sought using the sequential quadratic programming. The method is applied to reconstruction of boundaries with sinusoidal, step, and cavity form. The overall performance of the proposed method is examined by comparison between the estimated the exact boundaries.

역해석과 소형펀치 시험에 의한 발전설비 용접부의 소성유동특성 평가 (An Evaluation of Plastic Flow Characteristic for local structure of Weldment in Power Plant using SP test and Inverse FEA)

  • 백승세;권일현;김회현;이동환;양성모;유호선
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.308-313
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    • 2004
  • SP test has been confirmed the availability, however the application of SP test is hampered because the relation of stress-strain and load-displacement is not determined definitely. This study suggested an evaluation technique of plastic flow characteristic for X20CrMoV121 steel weldment through inverse analysis using SP test and finite element analysis(FEA). From the result, good agreement was found in load-displacement curves obtained from SP test and FEA. Also, The behavior of load-displacement curve from FEA show a rule that load is increase with increasing K(strength coefficient) and displacement is increase with increasing n(work hardening index). From the inverse analysis, true stress-strain curve could be obtained for each local structure of weldment. And the CGHAZ and WM, which showed lower load- displacement behavior, have smaller work hardening index, while FGHAZ have the largest index.

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Shape sensing with inverse finite element method for slender structures

  • Savino, Pierclaudio;Gherlone, Marco;Tondolo, Francesco
    • Structural Engineering and Mechanics
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    • 제72권2호
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    • pp.217-227
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    • 2019
  • The methodology known as "shape sensing" allows the reconstruction of the displacement field of a structure starting from strain measurements, with considerable implications for structural monitoring, as well as for the control and implementation of smart structures. An approach to shape sensing is based on the inverse Finite Element Method (iFEM) that uses a variational principle enforcing a least-squares compatibility between measured and analytical strain measures. The structural response is reconstructed without the knowledge of the mechanical properties and load conditions but based only on the relationship between displacements and strains. In order to efficiently apply iFEM to the most common structural typologies of civil engineering, its formulation according to the kinematical assumptions of the Bernoulli-Euler theory is presented. Two beam inverse finite elements are formulated for different loading conditions. Depending on the type of element, the relationship between the minimum number of required measurement stations and the interpolation order is defined. Several examples representing common applications of civil engineering and involving beams and frames are presented. To simulate the experimental strain data at the station points and to verify the accuracy of the displacements obtained with the iFEM shape sensing procedure, a direct FEM analysis of the considered structures is performed using the LUSAS software.

The structured multiparameter eigenvalue problems in finite element model updating problems

  • Zhijun Wang;Bo Dong;Yan Yu;Xinzhu Zhao;Yizhou Fang
    • Structural Engineering and Mechanics
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    • 제88권5호
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    • pp.493-500
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    • 2023
  • The multiparameter eigenvalue method can be used to solve the damped finite element model updating problems. This method transforms the original problems into multiparameter eigenvalue problems. Comparing with the numerical methods based on various optimization methods, a big advantage of this method is that it can provide all possible choices of physical parameters. However, when solving the transformed singular multiparameter eigenvalue problem, the proposed method based on the generalised inverse of a singular matrix has some computational challenges and may fail. In this paper, more details on the transformation from the dynamic model updating problem to the multiparameter eigenvalue problem are presented and the structure of the transformed problem is also exposed. Based on this structure, the rigorous mathematical deduction gives the upper bound of the number of possible choices of the physical parameters, which confirms the singularity of the transformed multiparameter eigenvalue problem. More importantly, we present a row and column compression method to overcome the defect of the proposed numerical method based on the generalised inverse of a singular matrix. Also, two numerical experiments are presented to validate the feasibility and effectiveness of our method.

운용중 모드해석 방법과 신경망을 이용한 온라인 유한요소모델 업데이트 (On-line Finite Element Model Updating Using Operational Modal Analysis and Neural Networks)

  • 박원석
    • 한국전산구조공학회논문집
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    • 제34권1호
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    • pp.35-42
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    • 2021
  • 이 논문에서는 공용중인 구조물의 상시 계측 자료를 사용한 온라인 유한요소 모델 업데이트 방법을 제안한다. 일반적인 최적화 방법에 기반한 기존의 방법은 최적해를 찾기까지 반복적으로 고유치 해석을 수행해야 하므로 상시 업데이트에 사용하기에는 효과적이지 못하다. 제안하는 방법은 별도의 오프라인 작업이나 사용자의 개입이 없이 자동화된 과정으로 계측과 동시에 온라인 유한요소모델 업데이트를 수행할 수 있는 새로운 방법이다. 자동화된 Cov-SSI 알고리즘을 통해 구조물의 진동 계측 신호로부터 고유진동수 및 모드 형상을 식별하고, 이를 다시 역 고유치 신경망에 입력하여 최종적으로 업데이트된 유한요소 모델의 파라미터를 추정한다. 풍하중을 받는 20층 전단 빌딩 구조 모형에 대한 수치예제를 통해 제시한 방법이 자동으로 연속적인 유한요소모델 업데이트를 할 수 있었음을 확인하였다. 또한, 계측 도중 구조물의 특성이 변화하는 시나리오에 대한 예제에서 구조물의 변화가 일어나는 시점과 변화 후 변동된 구조 모델 파라미터 값을 성공적으로 추정할 수 있음을 확인하였다.

유한요소해석을 이용한 탄소강의 담금질 공정에 대한 상변태 및 기계적 성질 예측 (Prediction of Phase Transformation and Mechanical Property of Carbon Steel in Quenching based on Finite Element Analysis)

  • 김동규;정경환;강성훈;임용택
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2009년도 추계학술대회 논문집
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    • pp.173-176
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    • 2009
  • A great emphasis has been placed on the design of heat treatment process to achieve desired microstructure and mechanical property of final product. In this study, finite element analysis was carried out to predict temperature, microstructure and hardness of eutectoid steel after water quenching. Convective heat transfer coefficients were determined by inverse analysis using surface temperatures measured with three different installation methods of thermocouples. Finally, the effect of convective heat transfer coefficients on the prediction of temperature history and hardness was analyzed by comparing experimental and simulation results.

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역해석을 이용한 지반 강성 산정 및 굴착 지지벽체의 변형 평가 (Evaluation of Soil Stiffness and Excavation Support Wall Deformation at Deep Excavation Site Using Inverse Analysis)

  • 김태식;정영훈
    • 한국지반환경공학회 논문집
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    • 제21권12호
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    • pp.5-10
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    • 2020
  • 인천에 위치한 OO 깊은 굴착 현장을 대상으로 굴착에 따른 지반 물성값의 변화를 역해석을 통해 분석하였다. 굴착 단계별로 유한 요소 해석을 통해 예측한 굴착 지지 벽체의 수평방향 변위와 현장에서 지중경사계를 이용하여 계측한 값을 비교하여 지반의 강성을 업데이트하였다. 업데이트한 지반의 강성을 다음 굴착 단계에서 굴착 지지 벽체의 거동 예측에 사용하였다. Hardening Soil 모델을 이용한 유한요소해석 기법을 사용하였으며, 굴착 지지 벽체가 위치하는 지층을 역해석 대상 지층으로 선정하였고, 그 지층의 강성값을 역해석 대상으로 선정하였다. 굴착 초기 단계의 지반의 강성값은 당초 설계에서 사용한 강성값에 비해 큰 것으로 나타났다. 굴착이 진행됨에 따라 재역해석을 통해 산정한 지반의 강성값은 초기에 역해석으로 도출한 값에 비해 감소한 것으로 나타났다. 따라서, 굴착 단계에 따라 적절한 지반의 강성값을 입력해야 유한 요소 해석을 통해 정확한 굴착 지지 벽체의 변형을 산정할 수 있을 것으로 판단한다.

고유치 해석을 이용한 보의 크랙 탐색 (Detection of a Crack in Beams by Eigen Value Analysis)

  • 이희수;이기훈;최재훈
    • EDISON SW 활용 경진대회 논문집
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    • 제5회(2016년)
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    • pp.195-202
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    • 2016
  • In this paper, crack detection method using eigen value analysis is presented. Three methods are used: theoretical analysis, finite element method with the cracked beam elements and finite element method with three dimensional continuum elements. Finite element formulation of the cracked beam element is introduced. Additional term about stress intensity factor based on fracture mechanics theory is added to flexibility matrix of original beam to model the crack. As using calculated stiffness matrix of cracked beam element and mass matrix, natural frequencies are calculated by eigen value analysis. In the case of using continuum elements, the natural frequencies could be calculated by using EDISON CASAD solver. Several cases of crack are simulated to obtain natural frequencies corresponding the crack. The surface of natural frequency is plotted as changing with crack location and depth. Inverse analysis method is used to find crack location and depth from the natural frequencies of experimental data, which are referred by another papers. Predicted results are similar with the true crack location and depth.

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역문제에 의한 스파이얼 베벨기어의 해석 (Analysis of Spiral Bevel Gear by Inverse Problem)

  • 박성완
    • 한국공작기계학회논문집
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    • 제10권5호
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    • pp.85-95
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    • 2001
  • This study proposed a technique for inverse problem, linear approximation of contact position and loading in single and double meshing of spiral bevel gear , using 2-dimension model considered near the tooth by root stress. Determine root stress is carried out far the gear tooth by finite element method and boundary element method. Boundary element discretization near contact point is carefully performed to keep high computational accuracy. And from those estimated results, the comparing estimate value with boundary element method value was discussed.

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