• 제목/요약/키워드: step method

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Inverse Offset Method for Adaptive Cutter Path Generation from Point-based Surface

  • Kayal, Prasenjit
    • International Journal of CAD/CAM
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    • 제7권1호
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    • pp.21-30
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    • 2007
  • The inverse offset method (IOM) is widely used for generating cutter paths from the point-based surface where the surface is characterised by a set of surface points rather than parametric polynomial surface equations. In the IOM, cutter path planning is carried out by specifying the grid sizes, called the step-forward and step-interval distances respectively in the forward and transverse cutting directions. The step-forward distance causes the chordal deviation and the step-forward distance produces the cusp. The chordal deviation and cusp are also functions of local surface slopes and curvatures. As the slopes and curvatures vary over the surface, different step-forward and step-interval distances are appropriate in different areas for obtaining the machined surface accurately and efficiently. In this paper, the chordal deviation and cusp height are calculated in consideration with the surface slopes and curvatures, and their combined effect is used to estimate the machined surface error. An adaptive grid generation algorithm is proposed, which enables the IOM to generate cutter paths adaptively using different step-forward and step-interval distances in different regions rather than constant step-forward and step-interval distances for entire surface.

HIGH ORDER EMBEDDED RUNGE-KUTTA SCHEME FOR ADAPTIVE STEP-SIZE CONTROL IN THE INTERACTION PICTURE METHOD

  • Balac, Stephane
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제17권4호
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    • pp.238-266
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    • 2013
  • The Interaction Picture (IP) method is a valuable alternative to Split-step methods for solving certain types of partial differential equations such as the nonlinear Schr$\ddot{o}$dinger equation or the Gross-Pitaevskii equation. Although very similar to the Symmetric Split-step (SS) method in its inner computational structure, the IP method results from a change of unknown and therefore do not involve approximation such as the one resulting from the use of a splitting formula. In its standard form the IP method such as the SS method is used in conjunction with the classical 4th order Runge-Kutta (RK) scheme. However it appears to be relevant to look for RK scheme of higher order so as to improve the accuracy of the IP method. In this paper we investigate 5th order Embedded Runge-Kutta schemes suited to be used in conjunction with the IP method and designed to deliver a local error estimation for adaptive step size control.

Tracking Control Method of a Step Motor for a Bilateral Symmetric Trainer

  • Kim, Young-Tae
    • 조명전기설비학회논문지
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    • 제23권11호
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    • pp.94-101
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    • 2009
  • This paper poses tracking control and torque control methods to reduce torque ripple for bilateral symmetric trainers. As opposed to the conventional method, the torque control method for active joint movement is proposed. Using a step motor (PK296-03b, step angle: $1.8^{\circ}$), a simulator for a bilateral symmetric trainer is created, and the effectiveness of the proposed control method is verified through experiment results.

A fast damage detecting technique for indeterminate trusses

  • Naderi, Arash;Sohrabi, Mohammad Reza;Ghasemi, Mohammad Reza;Dizangian, Babak
    • Structural Engineering and Mechanics
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    • 제75권5호
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    • pp.585-594
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    • 2020
  • Detecting the damage of indeterminate trusses is of major importance in the literature. This paper proposes a quick approach in this regard, utilizing a precise mathematical approach based on Finite Element Method. Different to a general two-step method defined in the literature essentially based on optimization approach, this method consists of three steps including Damage-Suspected Element Identification step, Imminent Damaged Element Identification step, and finally, Damage Severity Detection step and does not need any optimizing algorithm. The first step focuses on the identification of damage-suspected elements using an index based on modal residual force vector. In the second step, imminent damage elements are identified among the damage-suspected elements detected in the previous step using a specific technique. Ultimately, in the third step, a novel relation is derived to calculate the damage severity of each imminent damaged element. To show the efficiency and quick function of the proposed method, three examples including a 25-bar planar truss, a 31-bar planar truss, and a 52-bar space truss are studied; results of which indicate that the method is innovatively capable of suitably detecting, for indeterminate trusses, not only damaged elements but also their individual damage severity by carrying out solely one analysis.

Step Length를 이용한 비비례감쇠시스템의 고유치 해석 (Application of Step Length Technique To An Eigensolution Method for Non-proportionally Damped Systems)

  • Thanh X. H;Kim, Byoung-Wan;Jung, Hyung-Jo;Lee, In-Won
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2003년도 춘계 학술발표회논문집
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    • pp.481-490
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    • 2003
  • This paper presents an efficient eigensolution method for non-proportionally damped systems. The proposed method is obtained by applying the accelerated Newton-Raphson technique and the orthonormal condition of the eigenvectors to the linearized form of the quadratic eigenproblem. A step length and a selective scheme are introduced to increase the convergence of the solution. The step length can be evaluated by minimizing the norm of the residual vector using the least square method. While the singularity may occur during factorizing process in other iteration methods such as the inverse iteration method and the subspace iteration method if the shift value is close to an exact eigenvalue, the proposed method guarantees the nonsingularity by introducing the orthonormal condition of the eigenvectors, which can be proved analytically. A numerical example is presented to demonstrate the effectiveness of the proposed method.

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새로운 step wedge의 Bootstrap법에 의한 X선 sensitometry (X-ray Sensitometry by Bootstrap Method Using New Step Wedge)

  • 안봉선;허준
    • 대한방사선기술학회지:방사선기술과학
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    • 제14권1호
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    • pp.45-48
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    • 1991
  • Recently developed new step wedge has a small size as $10{\times}10\;cm^2$. It can use central beam, and is affected little by scattered rays emmitted from the neighboring step wedges. It's characteristics are same as the intensity scale method, and are excellent compared with conventional boot strap methods. Moreover, the method using new step wedge is simple in operation, and the characteristics are excellent. Now, the above method using new step wedge can supercede the distance method.

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MP 병렬컴퓨터에서 효과적인 과학계산의 수행 (Efficient Scientific Computation on WP Parallel Computer)

  • 김선경
    • 한국산업정보학회논문지
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    • 제8권4호
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    • pp.26-30
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    • 2003
  • 대칭이고 큰 희소 행렬(Large Sparse Matrices)에 대한 가장 작거나 또는 가장 큰 고유치(Eigenvalues)들을 구하기 위해서 Lanczos 방법이 많이 이용된다. MP(Message Passing) 병렬 컴퓨터에서 global communications은 계산 속도를 떨어뜨린다. 본 논문에서는 s-step Lanczos 알고리즘을 소개하였으며 이 s-step 방법은 기존의 Lanczos 알고리즘에 의해 생성된 행렬에 유사한 축소 행렬을 생성하며 s-step Lanczos 알고리즘에서 한번의 반복은 기존의 Lanczos 알고리즘의 s 번 반복에 해당한다. s-step 방법은 global communications을 최소화하였으며 기존의 알고리즘에 비해 뛰어난 병렬 성질을 가진다. 알고리즘들은 Cray T3E에서 수행되었으며 그 결과를 볼 수 있다.

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STEP 데이터의 활용 방안에 대한 연구 (A Study on the Practical Usage of STEP data)

  • 예도경;박정선
    • 한국전자거래학회지
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    • 제1권2호
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    • pp.133-160
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    • 1996
  • It is accomplished on the practical usage for STEP in enterprise. But they has feeble grasp of STEP, therfore it is hard to apply. That is due to take a negative policy with the lack of advertising and understanding, most of studies are going on a studentlike attitude rather than the practical usage or implementation, so they don't know exactly what is STEP, and how can they apply to their own enterprise. This paper aimed to present more detail understanding of STEP usage and practical usage of STEP data in enterprise. We describe EXPRESS that is description method of STEP, four ways of implementation method, and introduce to using ST-Developer and ST-Oracle by STEP Tools Inc. for more detail understand of STEP. Thereafter we propose practical usage of STEP with CAD systems and PDM systems on the knowledge of previous study, and propose total system implementation image on STEP data in enterprise, finally discuss conclusion and luther study issues.

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Estimation of Spatial Dependence with GEE

  • Lee, Yoon-Dong;Choi, Hye-Mi
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2003년도 춘계 학술발표회 논문집
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    • pp.269-273
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    • 2003
  • We consider an efficient parametric estimation method of spatial dependence in weak stationary processes. Spatial dependence is modeled through variogram and correlogram. Most of parametric estimation methods of correlogram use two step method; nonparametric estimation and parametric integration. We bind these two steps into one step by using GEE method instead of least squares type optimization. Our one step method is more efficient statistically and gives a clear interpretation of related concepts used in traditional two step methods.

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A novel two sub-stepping implicit time integration algorithm for structural dynamics

  • Yasamani, K.;Mohammadzadeh, S.
    • Earthquakes and Structures
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    • 제13권3호
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    • pp.279-288
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    • 2017
  • Having the ability to keep on yielding stable solutions in problems involving high potential of instability, composite time integration methods have become very popular among scientists. These methods try to split a time step into multiple sub-steps so that each sub-step can be solved using different time integration methods with different behaviors. This paper proposes a new composite time integration in which a time step is divided into two sub-steps; the first sub-step is solved using the well-known Newmark method and the second sub-step is solved using Simpson's Rule of integration. An unconditional stability region is determined for the constant parameters to be chosen from. Also accuracy analysis is perform on the proposed method and proved that minor period elongation as well as a reasonable amount of numerical dissipation is produced in the responses obtained by the proposed method. Finally, in order to provide a practical assessment of the method, several benchmark problems are solved using the proposed method.