• Title/Summary/Keyword: Limit Error

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Parallel Generation of NC Tool Paths for Subdivision Surfaces

  • Dai Junfu;Wang Huawei;Qin Kaihuai
    • International Journal of CAD/CAM
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    • v.4 no.1
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    • pp.47-53
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    • 2004
  • The subdivision surface is the limit of recursively refined polyhedral mesh. It is quite intuitive that the multi-resolution feature can be utilized to simplify generation of NC (Numerical Control) tool paths for rough machining. In this paper, a new method of parallel NC tool path generation for subdivision surfaces is presented. The basic idea of the method includes two steps: first, extending G-Buffer to a strip buffer (called S-Buffer) by dividing the working area into strips to generate NC tool paths for objects of large size; second, generating NC tool paths by parallel implementation of S-Buffer based on MPI (Message Passing Interface). Moreover, the recursion depth of the surface can be estimated for a user-specified error tolerance, so we substitute the polyhedral mesh for the limit surface during rough machining. Furthermore, we exploit the locality of S-Buffer and develop a dynamic division and load-balanced strategy to effectively parallelize S-Buffer.

A Study on Response Surface Method Using the Vector Projection Technique (벡터투영법을 이용한 응답면기법에 관한 연구)

  • 김상효;나성원;김우곤
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1994.10a
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    • pp.167-174
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    • 1994
  • In this study, an improved response surface method is proposed. By using gradient projection method, the sampling points for creating response surface are evaluated at the region close to the failure surface. This points are combined with linear response surface function and Rackwitz-Fiessler algorithm. Also, a method controlling the range of selecting sampling points considering the non-linearity of the limit states is proposed to reduce the error produced by approximating the non-linear limit state to linear response surface. With the examples the result of the proposed method is found to be more accurate and efficient than the previous response surface method.

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A Study on Numerical Perforation Analysis of Axisymmetric Bullet by the Particle Method (입자법을 이용한 축대칭 탄자의 관통거동 수치해석 연구)

  • Kim, Yong-Seok;Kim, Yong-Hwan
    • Journal of the Korea Institute of Military Science and Technology
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    • v.11 no.6
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    • pp.164-171
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    • 2008
  • A modified generalized particle algorithm, MGPA, was suggested to improve the computational efficiency of standard SPH method in numerical analysis of high speed impact behavior. This method uses a numerical failure mechanism than material failure models to describe the target penetration. MGPA algorithm was more effective to describe the impact phenomena and new boundaries produced during the calculation process were well recognized and treated in the target penetration problem of a bullet. When bullet perforation problems were analyzed by this method, MGPA algorithm calculation gives the stable numerical solution and stress oscillation or particle penetration phenomena were not shown. The error range in ballistic velocity limit is less than $2{\sim}13%$ for various target thickness.

A study on the robot controller design using a reduced-order observer (축소차수 관측기를 이용한 로보트 제어기 설계에 관한 연구)

  • 김도식;김진걸
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.1-6
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    • 1991
  • This paper is concerned with the design of a robust tracking controller using a state observer on a robotic manipulator under the disturbance. The controller is designed to follow a step or ramp reference input without steady state error in the presence of a disturbance and a system parameter variation. In most cases, since all the state vectors are not measured, unmeasurable state vectors must be estimated or reconstructed. A reduced order observer is proposed to estimate unmeasurable state vectors of the non-linear system. Some problems are caused by the Coulomb friction, the disturbance, and the spring effect of a link between the drive motor and the manipulator arm. The state variables, directly measured and estimated by the reduced order observer, are fed back to the controller. When the robot system exhibits the 'limit cycle, the feedback gains initially obtained by optimal control theory are changed. As a result, the limit cycle is eliminated by the new controller gains,

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Position servo control of a PR type pneumatic manipulator (PR형 공압 머니퓰레이터의 위치서보제어)

  • Lim, Seung-Cheol;Eao, Yun-Beom
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.10
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    • pp.1619-1625
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    • 1997
  • This paper concerns a 2-axis PR type pneumatic manipulator system translating in vertical and rotating in horizontal directions. A simplified linear model is mathematically formulated similar to the pneumatic acturators in dynamic responses in order to devise an appropriate position control scheme. A PD controller preceding the on/off solenoid valve turns out not only economical but also effective in reducing rise time and amplitude of limit cycles, if its control gains are determined on the basis of frequency response. And, additional implementation of symmetric or asymmetric deadband at the PD controller output greatly helps minimize valve opening numbers, positional error, and undesirable direction-dependent property due to the gravitational load. Such a control concept is synthesized through numerical simulations and next applied to the experimental set-up, featuring enhanced positional servo characteristics.

Numerical Simulation of Tensile Strength Test by Ring-type Specimen (링 시험편에 의한 인장강도시험의 수치해석)

  • 진연호;양형식;박철환
    • Proceedings of the Korean Society for Rock Mechanics Conference
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    • 2000.09a
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    • pp.63-66
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    • 2000
  • Stress variation due to size variation and the eccentricity of ring type tensile specimen was analyzed by FLAC program. To get the stable tensile strength the ratio of inner to outer ring diameter should be within a certain range. Diameter ratio of 0.3 was suggested to be adequate. It seemed to be difficult to determine the tensile strength because of stress distortion if eccentricity exceeded home limit. To limit the error in 10%, lateral and axial eccentricity was analyzed to be in the limits of 3% and 10%, respectively.

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Numerical Simulation of Tensile Strength Test by Ring-type Specimen (링 시험편에 의한 인장강도시험의 수치해석)

  • 진연호;양형식;박철환
    • Tunnel and Underground Space
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    • v.10 no.3
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    • pp.316-319
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    • 2000
  • Stress variation due to size variation and the eccentricity of ring type tensile specimen was analyzed by FLAC program. To get the stable tensile strength the ratio of inner to outer ring diameter should be within a certain range. Diameter ratio of 0.3 was suggested to be adequate. It seemed to be difficult to determine the tensile strength because of stress distortion if eccentricity exceeded some limit. To limit the error in 10%, lateral and axial eccentricity was analyzed to be in the limits of 3% and 10%, respectively.

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Some Improvements of Gamma-ray Measurement for the Determination of the Boron Content (붕소 함량결정을 위한 즉발 감마선 계측법의 개선)

  • Nak Bae Kim;Hae-Ill Bak
    • Nuclear Engineering and Technology
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    • v.16 no.1
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    • pp.18-20
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    • 1984
  • The detection limit of boron has been lowered further in the capture gamma-ray measurement after preconcentration of boron by placing natural lithium brick in front of Ge(Li) detector. The experimental detection limit is found to be 0.30ppm, 0.18ppm, 0.045ppm and 0.090ppm for the samples of aluminum, steel, uranium dioxide and graphite, respectively. An alternate counting technique kas been also used for neglecting the error caused by the fluctuation of neutron flux during counting.

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Asymptotic Characteristics of MSE-Optimal Scalar Quantizers for Generalized Gamma Sources

  • Rhee, Ja-Gan;Na, Sang-Sin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37 no.5A
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    • pp.279-289
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    • 2012
  • Characteristics, such as the support limit and distortions, of minimum mean-squared error (MSE) N-level uniform and nonuniform scalar quantizers are studied for the family of the generalized gamma density functions as N increases. For the study, MSE-optimal scalar quantizers are designed at integer rates from 1 to 16 bits/sample, and their characteristics are compared with corresponding asymptotic formulas. The results show that the support limit formulas are generally accurate. They also show that the distortion of nonuniform quantizers is observed to converge to the Panter-Dite asymptotic constant, whereas the distortion of uniform quantizers exhibits slow or even stagnant convergence to its corresponding Hui-Neuhoff asymptotic constant at the studied rate range, though it may stay at a close proximity to the asymptotic constant for the Rayleigh and Laplacian pdfs. Additional terms in the asymptote result in quite considerable accuracy improvement, making the formulas useful especially when rate is 8 or greater.

$\mu$-Controller Design for Servo Systems Containing Resonance Effects and Coulomb Frictions (공진 효과 및 쿨롱 마찰이 있는 서보 시스템에 대한 $\mu$-제어기 설계)

  • Hwang, In-Hui;Lim, Dong-Jin
    • Proceedings of the KIEE Conference
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    • 1996.11a
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    • pp.46-48
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    • 1996
  • In almost all the servo systems, especially for the robot manipulators and numerical control systems, there are resonance effects and nonlinear frictions which should be considered in designing servo controllers. In this paper to compensate friction and track the step-input without steady-state error, the original system is augmented with an integrator and employes $\mu$-Controller design method $\mu$-Controller design method enables to meet not only performance requirements but robust stabilities simultaneously. And there may exist a limit cycles due to interaction between integrator and nonlinear friction. With describing function method, the possibility of limit cycle is checked.

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