• Title/Summary/Keyword: 수정 형상 함수

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A study on Corrective Polishing (형상수정 폴리싱에 관한 연구)

  • 김의중;신근하
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.950-955
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    • 2001
  • For the development of an ultra-precision CNC polishing system including on-machine measurement system, we study a corrective polishing algorithm. We analyze and test the unit removal profiles for a ball type polishing tool. Using these results we calculate dwell time distributions and residual errors for a target removal shape. We use the polishing simulation method and feed rate calculation method for the dwell time calculation. We test corrective polishing algorithm with an optical glass. The target removal shape is a sine wave that has amplitude 0.3 micro meters. We find this polishing process has a machining resolution of nanometer order and is effective for sub-micrometer order machining. This result will be used for the software development of the CNC polishing system.

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Basic Studies on Corrective Polishing (형상수정 폴리싱에 관한 기초연구)

  • 김의종;김경일;김호상
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.783-786
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    • 2000
  • For the development of a ultra-precision CMC polishing system including on-machine measurement system, we study a corrective polishing algorithm. We calculated unit removal profiles for various polishing tools and polishing tool positions. Using these results we simulate the corrective polishing process based on dwell time control. We calculate dwell time distributions and residual error of the polishing simulation method and the FFT calculation method. We got good dwell time distributions and small residual when we used the FFT calculation method. This results will be used for the optimization of corrective polishing process.

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The Selective p-Distribution for Adaptive Refinement of L-Shaped Plates Subiected to Bending (휨을 받는 L-형 평판의 적응적 세분화를 위한 선택적 p-분배)

  • Woo, Kwang-Sung;Jo, Jun-Hyung;Lee, Seung-Joon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.5
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    • pp.533-541
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    • 2007
  • The Zienkiewicz-Zhu(Z/Z) error estimate is slightly modified for the hierarchical p-refinement, and is then applied to L-shaped plates subjected to bending to demonstrate its effectiveness. An adaptive procedure in finite element analysis is presented by p-refinement of meshes in conjunction with a posteriori error estimator that is based on the superconvergent patch recovery(SPR) technique. The modified Z/Z error estimate p-refinement is different from the conventional approach because the high order shape functions based on integrals of Legendre polynomials are used to interpolate displacements within an element, on the other hand, the same order of basis function based on Pascal's triangle tree is also used to interpolate recovered stresses. The least-square method is used to fit a polynomial to the stresses computed at the sampling points. The strategy of finding a nearly optimal distribution of polynomial degrees on a fixed finite element mesh is discussed such that a particular element has to be refined automatically to obtain an acceptable level of accuracy by increasing p-levels non-uniformly or selectively. It is noted that the error decreases rapidly with an increase in the number of degrees of freedom and the sequences of p-distributions obtained by the proposed error indicator closely follow the optimal trajectory.

Multi-Objective based Updating of Finite Element Model of Bridge Using Modal Properties (교량의 모드 특성을 이용한 다중 목적함수 기반 유한요소 모델의 개선)

  • Jin, Seung-Seop;Lee, Jong-Jae;Lee, Chang-Geun;Yun, Chung-Bang;Jung, Hyung-Jo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.27-31
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    • 2011
  • 차량의 대형화 및 고속화, 그리고 기존 교량의 노후화를 고려하였을 때, 교량의 건전성 평가는 매우 중요해지고 있다. 거동을 예측하는데 사용되는 유한요소 모델의 신뢰도는 이상적인 가정과 모델링 오차, 교량의 노후화 등에 의해 실제 거동을 반영하지 못하는 경우가 많다. 유한요소 모델의 신뢰도를 높이기 위해, 실제 교량의 거동을 계측하여, 이를 기반으로 물리적 의미를 가지는 변수들과 지점의 조건을 수정하는 모델의 개선이 주로 행해진다. 이러한 모델 개선은 최적화 기법을 통해 수행된다. 본 연구에서는 목적함수간 가중치에 의한 모델 개선 결과의 영향과 다중 목적 함수 최적화 기법을 통해, 가중치의 영향을 줄이고, 다양한 개선 모델들을 구하는데 적용하였다. 팔곡 3교의 실제 계측 데이터를 이용하여 단일 다중 목적 함수 기반의 모델 개선을 수행하였다. 단일 목적 함수의 경우, 정의되는 목적함수는 주로 고유진동수와 모드 형상에 관한 차이의 가중치 합으로 표현되어 지며, 이러한 가중치에 따라, 모델 개선의 결과에 영향을 가함을 확인하였다. 다중 목적 함수 기반의 모델 개선을 통해, 구해진 모델 개선 결과를 단일 목적 함수 기반 모델 개선의 결과들과 비교하였으며, 모델 개선에 대한 다중 목적 함수 최적화 적용을 분석하였다.

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A Study on the Correction of the Warping Functions of Composite Thin-Walled Beams with a Chord wise Asymmetric Closed Cross-Section (시위 방향으로 비대칭 폐단면을 가지는 복합재료 얇은 벽 보의 와핑 함수 보정에 관한 연구)

  • Kim, Keun-Taek
    • Journal of Aerospace System Engineering
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    • v.12 no.4
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    • pp.9-17
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    • 2018
  • With an aim of considering the warping restraint effect, the results of the comparative study for several cases on the correction of the warping functions for the theoretical analysis of composite thin-walled beams with chord wise asymmetric closed cross-sections are presented in this study. To solve this problem, it is necessary to correct the warping function so as to satisfy the warping equilibrium condition like 1) without moving the position of the pole, 2) with only modifying the shape function using the existing pole, and 3) with moving the position of the pole. The cross-sectional characteristics of the cases were compared with each other. Finally, the cases were compared in order to correct the warping functions. The case 2) was observed to be more speedy and simple in computation compared to others.

An Improved Mesh-free Crack Analysis Technique Using a Singular Basis Function (특이기저함수를 이용하여 개선한 Mesh-free 균열해석기법)

  • 이상호;윤영철
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.3
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    • pp.381-390
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    • 2001
  • In this paper, a new improved crack analysis technique by Element-Free Galerkin(EFG) method is proposed, in which the singularity and the discontinuity of the crack successfully described by adding enrichment terms containing a singular basis function to the standard EFG approximation and a discontinuity function implemented in constructing the shape function across the crack surface. The standard EFG method requires considerable addition of nodes or modification of the model. In addition, the proposed method significantly decreases the size of system of equation compared to the previous enriched EFG method by using localized enrichment region near the crack tip. Numerical example show the improvement and th effectiveness of the previous method.

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A Study on Hull-Form Design for Ships Operated at Two Speeds (두 가지 속도에서 운항하는 선박의 형상설계에 관한 연구)

  • Kim, Tae Hoon;Choi, Hee Jong
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.24 no.4
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    • pp.467-474
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    • 2018
  • The purpose of this study is related to automatic hull-form design for ships operating at two speeds. Research was conducted using a series 60 ($C_B=0.6$) ship as a target, which has the most basic ship hull-form. Hull-form development was pursued from the viewpoint of improving resistance performance. In particular, automatic hull-form design for a ship was performed to improve wave resistance, which is closely related to hull-forms. For this purpose, we developed automatic hull-form design software for ships by combining an optimization technique, resistance prediction technique and hull-form modification technique, appling the software developed to a target ship. A sequential quadratic programming method was used for optimization, and a potential-based panel method was used to predict resistance performance. A Gaussian-type modification function was developed and applied to change the ship hull-form. The software developed was used to design a target ship operating at two different speeds, and the performance of the resulting optimized hull was compared with the results of the original hull. In order to verify the validity of the program developed, experimental results obtained in model tests were compared with calculated values by numerical analysis.

A Study on the Hull Form Design System on the Basis of the Associative Geometry Objects (연관성 형상객체에 기초한 선형설계 전산시스템에 관한 연구)

  • Young-Bok Choi;Kyu-Yeul Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.4
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    • pp.105-115
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    • 1999
  • To develope the best optimized hull form, it has been generalized to evaluate the preliminary hull forms with the CFD tools in the initial stage of development and for this process it is needed to prepare various competent hull forms with high degree of fairness. In this paper, a modified shape variation method was developed to maintain the shape and fairness of parent hull form and the automatic update procedure was implemented on the basis of the association concept. It was shown that the hull form of the high quality in fairness and shape inherited from the parent hull form can be archived.

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Shape Function Modification for the Imposition of EFGM Essential Boundary Conditions (EFGM에서 필수경계조건 처리를 위한 형상함수 수정법)

  • Seok, Byeong-Ho;Song, Tae-Han;Im, Jang-Geun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.3 s.174
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    • pp.803-809
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    • 2000
  • For the effective analysis of an engineering problem, meshless methods which require only positioning finite points without the element meshing recently have been proposed and being studied extensively. Meshless methods have difficulty in imposing essential boundary conditions directly, because non-interpolate shape functions originated from an approximation process are used. So some techniques, which are Lagrange multiplier method, modified variational principles and coupling with finite elements and so on, were introduced in order to impose essential boundary conditions. In spite of these methods, imposition of essential boundary conditions have still many problems like as non-positive definiteness, inaccuracy and negation of meshless characteristics. In this paper, we propose a new method which modifies shape function. Through numerical tests, convergence, accuracy and validity of this method are compared with the standard EFGM which uses Lagrange multiplier method or modified variational principles. According to this study, the proposed method shows the comparable accuracy and efficiency.

Application of Modified Ramberg-Osgood Model for Master Curve of Asphalt Concrete (아스팔트 콘크리트 메스터 극선에 대한 수정 Ramberg-Osgood 모델 적용)

  • Kweon, Gi-Chul
    • International Journal of Highway Engineering
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    • v.10 no.4
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    • pp.31-40
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    • 2008
  • The dynamic moduli of asphalt concrete are very important for the analysis and the design of asphalt pavement systems. The dynamic modulus master curve is usually represented by a sigmoidal function. The Ramberg-Osgood model was widely used for fitting of normalized modulus reduction curves with strain of soils in soil dynamic fields. The master curves were obtained by both sigmoidal functions and modified Ramberg-Osgood model for the same dynamic modulus data set, the fitting abilities of both methods were excellent. The coefficients in sigmoidal function are coupled. Therefore, it is not possible to separate the characteristics of the master curve with absolute value and shape. However, the each fitting coefficient in the Ramberg-Osgood model has a unique effect on the master curve, and the coefficients are not coupled with each other.

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