• Title/Summary/Keyword: discontinuity error

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A Parametric Study of the Hemming Process by Finite Element Analysis (유한요소해석에 의한 헤밍 공정 변수연구)

  • Kim, Hyung-Jong;Choi, Won-Mog;Lim, Jae-Kyu;Park, Chun-Dal;Lee, Woo-Hong;Kim, Heon-Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.2
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    • pp.149-157
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    • 2004
  • Implicit finite element analysis of the flat surface-straight edge hemming process is performed by using a commercial code ABAQUS/Standard. Methods of finite element modeling for springback simulation and contact pair definition are discussed. An optimal mesh system is chosen through the error analysis that is based on the smoothing of discontinuity in the state variables. This study has focused on the investigation of the influence of process parameters in flanging, pre-hemming and main hemming on final hem quality, which can be defined by turn-down, warp and roll-in. The parameters adopted in this parametric study are flange length, flange angle, flanging die corner radius, face angle and insertion angle of pre-hemming punch, and over-stroke of pre-hemming and main hemming punches.

A Remote Measurement Technique for Rock Discontinuity (암반 불연속면의 원격 영상측량 기법)

  • 황상기
    • The Journal of Engineering Geology
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    • v.11 no.2
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    • pp.205-214
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    • 2001
  • A simple automated measuring method for planar or linear features on the rock excavation surface is presented. Attitude of the planar and linear feature is calculated from 3D coordinates of points on the structures. Spatial coordinates are calculated from overlapped stereo images. Factors used in the calculation are (1) local coordinates of the left and right images, (2) the focal length of cameras, and (3) the distance between two cameras. A simple image capturing device and an image treatment routine coded by Visual Basic and GIS components are constructed for the remote measurements, The methodology shows less than 1 cm error when a point is measured from 179 cm in distance. The methodology is tested at the excavation site in PaiChai University. Remotely measured result matches well with the manual measurement within the reasonable error range.

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ResNet-Based Simulations for a Heat-Transfer Model Involving an Imperfect Contact

  • Guangxing, Wang;Gwanghyun, Jo;Seong-Yoon, Shin
    • Journal of information and communication convergence engineering
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    • v.20 no.4
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    • pp.303-308
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    • 2022
  • Simulating the heat transfer in a composite material is an important topic in material science. Difficulties arise from the fact that adjacent materials cannot match perfectly, resulting in discontinuity in the temperature variables. Although there have been several numerical methods for solving the heat-transfer problem in imperfect contact conditions, the methods known so far are complicated to implement, and the computational times are non-negligible. In this study, we developed a ResNet-type deep neural network for simulating a heat transfer model in a composite material. To train the neural network, we generated datasets by numerically solving the heat-transfer equations with Kapitza thermal resistance conditions. Because datasets involve various configurations of composite materials, our neural networks are robust to the shapes of material-material interfaces. Our algorithm can predict the thermal behavior in real time once the networks are trained. The performance of the proposed neural networks is documented, where the root mean square error (RMSE) and mean absolute error (MAE) are below 2.47E-6, and 7.00E-4, respectively.

Calculation of Key Blocks' Safety Ratio based on Discontinuity Analysis (불연속면 분석에 근거한 쐐기블록 안전율 계산)

  • Kim, Eunsung;Noh, Sanghun;Lee, Sang-Soon
    • Journal of the Korean Geotechnical Society
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    • v.40 no.3
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    • pp.101-108
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    • 2024
  • A system with the ability to recognize potential key blocks during tunnel construction by analyzing the rock face was developed in this study. This system predicts the formation of key blocks in advance and evaluates their safety factors. A laser scanner was used to collect a three-dimensional point cloud of the rock face, which was then utilized to model the excavation surface and derive the joint surfaces. Because joint surfaces have specific strikes and dip angles, the key blocks formed by these surfaces are deduced through iterative calculations, and the safety factor of each key block can be calculated accordingly. The model experiments confirmed the accuracy of the system's output in terms of the joint surface characteristics. By inputting the joint surface information, the calculated safety factors were compared with those from the existing commercial software, demonstrating stable calculation results within a 1% error margin.

Continuous and Accurate PCRAM Current-voltage Model

  • Jung, Chul-Moon;Lee, Eun-Sub;Min, Kyeong-Sik
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.11 no.3
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    • pp.162-168
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    • 2011
  • In this paper, we propose a new Verilog-A current-voltage model for multi-level-cell PCRAMs. This model can describe the PCRAM operation not only in full SET and RESET states but also in the partial resistance states. And, 3 PCRAM operating regions of SET-RESET, Negative Differential Resistance, and strong-ON are unified into one equation in this model thereby any discontinuity that may introduce a convergence problem cannot be found in the new PCRAM model. The percentage error between the measured data and this model is as small as 7.4% on average compared to 60.1% of the previous piecewise model. The parameter extraction which is embedded in the Verilog-A code can be done automatically.

Correction of Coordinate Discontinuities Caused by GPS Antenna Replacements

  • Kim, Dusik;Park, Kwan-Dong;Won, Jihye
    • Journal of Positioning, Navigation, and Timing
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    • v.4 no.3
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    • pp.131-140
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    • 2015
  • Antennas at permanent GPS stations operated by the former Ministry of Government Administration and Home Affairs (MOGAHA) in Korea were replaced in years 2008 and 2009, and these changes caused abrupt discontinuities in precise coordinate time series. In this study, an algorithm that eliminates those breaks was developed based on 15-year-long coordinate time series for the purpose of creating clean and continuous coordinate time series. The newly developed algorithm to correct for sudden jumps and dips in the GPS time series due to the antenna change was designed to consider all the linear and annual signals observed before and after the event. The accuracy of the new algorithm was confirmed to be at the Root Mean Square Error (RMSE) level of 2.3-2.6 mm. The new algorithm was also found to be capable of reflect site-specific characteristics at each station.

Parametric Study on an Improved Mesh-Free Crack Analysis Technique Using Singular Basis Function (특이기저함수를 사용한 개선된 Mesh-Free 균열해석기법에 대한 파라메타 연구)

  • 이상호;윤영철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.19-26
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    • 2001
  • Previously, an improved crack analysis technique based on Element-Free Galerkin Method (EFGM) which includes a discontinuity function and a singular basis function was presented. The technique needs neither addition of nodes nor modification of the model, but it shows some dependency on the formulation and modeling parameters such as the class of weight function, the size of compact support, dilation parameter and the range controlled by the singular basis function. For those parameters, a parametric study was performed on the calculation of a discrete error and then, a guideline for the choice of adequate parameters in the technique was proposed.

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An FNN based Adaptive Speed Controller for Servo Motor System

  • Lee, Tae-Gyoo;Lee, Je-Hie;Huh, Uk-Youl
    • Journal of Electrical Engineering and information Science
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    • v.2 no.6
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    • pp.82-89
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    • 1997
  • In this paper, an adaptive speed controller with an FNN(Feedforward Neural Network) is proposed for servo motor drives. Generally, the motor system has nonlinearities in friction, load disturbance and magnetic saturation. It is necessary to treat the nonlinearities for improving performance in servo control. The FNN can be applied to control and identify a nonlinear dynamical system by learning capability. In this study, at first, a robust speed controller is developed by Lyapunov stability theory. However, the control input has discontinuity which generates an inherent chattering. To solve the problem and to improve the performances, the FNN is introduced to convert the discontinuous input to continuous one in error boundary. The FNN is applied to identify the inverse dynamics of the motor and to control the motor using coordination of feedforward control combined with inverse motor dynamics identification. The proposed controller is developed for an SR motor which has highly nonlinear characteristics and it is compared with an MRAC(Model Reference Adaptive Controller). Experiments on an SR motor illustrate te validity of the proposed controller.

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Measurement of the Axial Displacement Error of a Segmented Mirror Using a Fizeau Interferometer (피조 간섭계를 이용한 단일 조각거울 광축방향 변위 오차 측정)

  • Ha-Lim, Jang;Jae-Hyuck, Choi;Jae-Bong, Song;Hagyong, Kihm
    • Korean Journal of Optics and Photonics
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    • v.34 no.1
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    • pp.22-30
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    • 2023
  • The use of segmented mirrors is one of the ways to make the primary mirror of a spaceborne satellite larger, where several small mirrors are combined into a large monolithic mirror. To align multiple segmented mirrors as one large mirror, there must be no discontinuity in the x, y-axis (tilt) and axial alignment error (piston) between adjacent mirrors. When the tilt and piston are removed, we can collect the light in one direction and get an expected clear image. Therefore, we need a precise wavefront sensor that can measure the alignment error of the segmented mirrors in nm scale. The tilt error can be easily detected by the point spread image of the segmented mirrors, while the piston error is hard to detect because of the absence of apparent features, but makes a downgraded image. In this paper we used an optical testing interferometer such as a Fizeau interferometer, which has various advantages when aligning the segmented mirror on the ground, and focused on measuring the axial displacement error of a segmented mirror as the basic research of measuring the piston errors between adjacent mirrors. First, we calculated the relationship between the axial displacement error of the segmented mirror and the surface defocus error of the interferometer and verified the calculated formula through experiments. Using the experimental results, we analyzed the measurement uncertainty and obtained the limitation of the Fizeau interferometer in detecting axial displacement errors.

A chord error conforming tool path B-spline fitting method for NC machining based on energy minimization and LSPIA

  • He, Shanshan;Ou, Daojiang;Yan, Changya;Lee, Chen-Han
    • Journal of Computational Design and Engineering
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    • v.2 no.4
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    • pp.218-232
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    • 2015
  • Piecewise linear (G01-based) tool paths generated by CAM systems lack $G_1$ and $G_2$ continuity. The discontinuity causes vibration and unnecessary hesitation during machining. To ensure efficient high-speed machining, a method to improve the continuity of the tool paths is required, such as B-spline fitting that approximates G01 paths with B-spline curves. Conventional B-spline fitting approaches cannot be directly used for tool path B-spline fitting, because they have shortages such as numerical instability, lack of chord error constraint, and lack of assurance of a usable result. Progressive and Iterative Approximation for Least Squares (LSPIA) is an efficient method for data fitting that solves the numerical instability problem. However, it does not consider chord errors and needs more work to ensure ironclad results for commercial applications. In this paper, we use LSPIA method incorporating Energy term (ELSPIA) to avoid the numerical instability, and lower chord errors by using stretching energy term. We implement several algorithm improvements, including (1) an improved technique for initial control point determination over Dominant Point Method, (2) an algorithm that updates foot point parameters as needed, (3) analysis of the degrees of freedom of control points to insert new control points only when needed, (4) chord error refinement using a similar ELSPIA method with the above enhancements. The proposed approach can generate a shape-preserving B-spline curve. Experiments with data analysis and machining tests are presented for verification of quality and efficiency. Comparisons with other known solutions are included to evaluate the worthiness of the proposed solution.