• Title/Summary/Keyword: Element inverse

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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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    • v.88 no.5
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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.

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

  • Baek, Seung-Se;Kwon, Il-Hyun;Kim, Hoi-Hyun;Lee, Dong-Hwan;Yang, Sung-Mo;Yu, Hyo-Sun
    • Proceedings of the KSME Conference
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    • 2004.11a
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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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High Efficiency Frequency Tunable Inverse Class-E Amplifier (고효율 주파수 가변 역 E-급 증폭기)

  • Kim, Young
    • Journal of Advanced Navigation Technology
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    • v.14 no.2
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    • pp.176-182
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    • 2010
  • This paper proposes that an inverse class-E amplifier is used a tunable parallel resonator at output port in order to maintain a high power-added efficiency(PAE) and output power with wide frequency ranges. A tunable circuit has a constant Q factor at operating frequency ranges and because of using varactor diode, the inductor and capacitor values of resonator can be changed. Also, the inductance value for zero-current switching (ZCS) is implemented a lumped element and the capacitance value is made a distributed element for phase compensation. The inverse class E amplifier using tunable parallel resonator is obtained to deliver 25dBm output power and achieve maximum power added efficiency(PAE) of 75% at 65-120MHz frequency ranges.

A real-time unmeasured dynamic response prediction for nuclear facility pressure pipeline system

  • Seungin Oh ;Hyunwoo Baek ;Kang-Heon Lee ;Dae-Sic Jang;Jihyun Jun ;Jin-Gyun Kim
    • Nuclear Engineering and Technology
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    • v.55 no.7
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    • pp.2642-2649
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    • 2023
  • A real-time unmeasured dynamic response prediction process for the nuclear power plant pressure pipeline is proposed and its performance is tested in the test-loop system (KAERI). The aim of the process is to predict unmeasurable or unreachable dynamic responses such as acceleration, velocity, and displacement by using a limited amount of directly measured physical responses. It is achieved by combining a well-constructed finite element model and robust inverse force identification algorithm. The pressure pipeline system is described by using the displacement-pressure vibro-acoustic formulation to consider fully filled liquid effect inside the pipeline structure. A robust multiphysics modal projection technique is employed for the real-time sensor synchronized prediction. The inverse force identification method is also derived and employed by using Bathe's time integration method to identify the full-field responses of the target system from the modal domain computation. To validate the performance of the proposed process, an experimental test is extensively performed on the nuclear power plant pressure pipeline test-loop under operation conditions. The results show that the proposed identification process could well estimate the unmeasured acceleration in both frequency and time domain faster than 32,768 samples per sec.

AN ITERATIVE DISTRIBUTED SOURCE METHOD FOR THE DIVERGENCE OF SOURCE CURRENT IN EEG INVERSE PROBLEM

  • Choi, Jong-Ho;Lee, Chnag-Ock;Jung, Hyun-Kyo
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.3
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    • pp.191-199
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    • 2008
  • This paper proposes a new method for the inverse problem of the three-dimensional reconstruction of the electrical activity of the brain from electroencephalography (EEG). Compared to conventional direct methods using additional parameters, the proposed approach solves the EEG inverse problem iteratively without any parameter. We describe the Lagrangian corresponding to the minimization problem and suggest the numerical inverse algorithm. The restriction of influence space and the lead field matrix reduce the computational cost in this approach. The reconstructed divergence of primary current converges to a reasonable distribution for three dimensional sphere head model.

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A Study on the Automatic Fairing and Modeling System of Hull From (선형의 자동순정 및 모델링 시스템에 관한 연구)

  • 김동준
    • Journal of Ocean Engineering and Technology
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    • v.14 no.2
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    • pp.121-127
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    • 2000
  • In this paper a new technique of inverse fairing problem for ship hull is proposed. Recently Lu solved the inverse fairing problem for automobile's body that was made by one surface element. In this system however hull surface is constructed by Gregory's composite surface interpolation method. So reflection line at boundary position is used as a tool of solving inverse problem in surface fairing. But the results are not good. The new concepts of Normal vector line and Constrained reflection line are introduced as an alternative tool. Energy minimization method for Normal Vector Line curve net and the inverse method for Constrained Reflection Line by using optimization technique are examined And the final lines from this proposed surface fairing method shows good fairness.

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The Determination of Initial Blank Shape by Using the One-Step FEM (One-Step FEM을 이용한 초기 블랭크 형상 결정에 관한 연구)

  • Jung, Dong-Won;Lee, Sang-Je
    • Journal of Ocean Engineering and Technology
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    • v.13 no.3 s.33
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    • pp.21-28
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    • 1999
  • In this paper, a finite element method for the determination of initial blank shape in sheet metal forming process will be introduced. The initial blank shape is determined by the only one step from the final to the initial blank. The used finite element inverse method adopted Henky's deformation theory, Hill's anisotropic yield criterion and simplified boundary conditions. Based on this theory. a three-dimensional membrane finite element code was developed. The developed code will be applied to several sheet metal forming examples for the demonstration of its validity.

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Study of Forming Analyzing Auto-body panel by Using One-step Finite Element Method (One-Step 유한요소법을 이용한 차체판넬 성형해석에 관한 연구)

  • Jung, D.W.;Lee, C.H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2006.05a
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    • pp.261-264
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    • 2006
  • Many process parameters have an effect on the auto-body panel forming process. A well-designed blank shape causes the material to flow smoothly, reduces the punch and yields a product with uniform thickness distribution. Therefore, the determination of an initial blank shape plays the important role of saving time and cost in the auto-body panel forming process. For these reasons, some approaches to estimate the initial blank shape have been implemented in this paper, the one-step approach by using a finite element inverse method will be introduced to predict the initial blank shape the developed program is applied to auto-body panel forming.

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

  • Kim, Sun-Kyoung;Hurh, Hoon;Lee, Woo-Il
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.6
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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.

A Study of One-Step Finite element method (One-Step 유한요소법에 관한 연구)

  • Ahn H. G.;Lee C. H.;Moon W. S.;Go C. S.;Jung D. W.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2005.10a
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    • pp.414-417
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    • 2005
  • Many process parameters have an effect on the auto-body panel forming process. A well-designed blank shape causes the material to flow smoothly, reduces the punch and yields a product with uniform thickness distribution. Therefore, the determination of an initial blank shape plays the important role of saving time and cost in the auto-body panel forming process. For these reasons, some approaches to estimate the initial blank shape have been implemented in this paper, the one-step approach by using a finite element inverse method will be introduced to predict the initial blank shape the developed program is applied to auto-body panel forming.

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