• Title/Summary/Keyword: parametric function

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Interference experiment using entangled photons with wavelengths of 640 nm and 660 nm (파장 640 nm와 660 nm 광자쌍의 간섭)

  • Kim Heonoh;Shin Harim;Kim Wonsik;Kwon Osung;Kim Taesoo
    • Korean Journal of Optics and Photonics
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    • v.15 no.5
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    • pp.399-404
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    • 2004
  • We present a quantum interference experiment with frequency-entangled pairs of photons with wavelength of 640 nm and 660 nm produced in the process of parametric down-conversion. When photon pairs in different angular frequencies $\omega$$_1$and $\omega$$_2$are registered by two detectors the coincidence counts exhibits a two-photon fringe as a function of relative time delay $\delta$$\tau$ of two photons within the coherence time depending on the arrangement of the detector pairs.

Bow hull-form optimization in waves of a 66,000 DWT bulk carrier

  • Yu, Jin-Won;Lee, Cheol-Min;Lee, Inwon;Choi, Jung-Eun
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.9 no.5
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    • pp.499-508
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    • 2017
  • This paper uses optimization techniques to obtain bow hull form of a 66,000 DWT bulk carrier in calm water and in waves. Parametric modification functions of SAC and section shape of DLWL are used for hull form variation. Multi-objective functions are applied to minimize the wave-making resistance in calm water and added resistance in regular head wave of ${\lambda}/L=0.5$. WAVIS version 1.3 is used to obtain wave-making resistance. The modified Fujii and Takahashi's formula is applied to obtain the added resistance in short wave. The PSO algorithm is employed for the optimization technique. The resistance and motion characteristics in calm water and regular and irregular head waves of the three hull forms are compared. It has been shown that the optimal brings 13.2% reduction in the wave-making resistance and 13.8% reduction in the added resistance at ${\lambda}/L=0.5$; and the mean added resistance reduces by 9.5% at sea state 5.

INCORPORATING PRIOR BELIEF IN THE GENERAL PATH MODEL: A COMPARISON OF INFORMATION SOURCES

  • Coble, Jamie;Hines, J. W esley
    • Nuclear Engineering and Technology
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    • v.46 no.6
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    • pp.773-782
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    • 2014
  • The general path model (GPM) is one approach for performing degradation-based, or Type III, prognostics. The GPM fits a parametric function to the collected observations of a prognostic parameter and extrapolates the fit to a failure threshold. This approach has been successfully applied to a variety of systems when a sufficient number of prognostic parameter observations are available. However, the parametric fit can suffer significantly when few data are available or the data are very noisy. In these instances, it is beneficial to include additional information to influence the fit to conform to a prior belief about the evolution of system degradation. Bayesian statistical approaches have been proposed to include prior information in the form of distributions of expected model parameters. This requires a number of run-to-failure cases with tracked prognostic parameters; these data may not be readily available for many systems. Reliability information and stressor-based (Type I and Type II, respectively) prognostic estimates can provide the necessary prior belief for the GPM. This article presents the Bayesian updating framework to include prior information in the GPM and compares the efficacy of including different information sources on two data sets.

Parametric Study of the Vibration Transmissibility for the Rubber Mount of the Seawater-Conveying Pipe in a Ship (선박의 해수 이송 배관용 고무 마운트의 진동 전달률에 대한 파라미터 연구)

  • Han, Hyung-Suk;Jeong, Weui-Bong
    • Journal of the Society of Naval Architects of Korea
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    • v.46 no.3
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    • pp.290-302
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    • 2009
  • Pipe system widely used in a ship is usually attached to the hull of a ship, and its vibration lead to structure-borne noise. Rubber mount is usually used as a vibration isolator of a pipe in a ship. In this paper, the effects of several factors, besides the stiffness and damping of the rubber mount, on vibration-isolating performance are taken into consideration. The parameters considered in this paper are hardness of the rubber material, painting on the rubber and deformation from clamping. Through the results of parametric study, the effective specifications of rubber mount are suggested to improve vibration-isolating performance. The performance under fluid flowing condition is calculated numerically and verified experimentally.

Hull Form Optimization using Parametric Modification Functions and Global Optimization (전역 최적화기법과 파라메트릭 변환함수를 이용한 선형 최적화)

  • Kim, Hee-Jung;Chun, Ho-Hwan;An, Nam-Hyun
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.6
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    • pp.590-600
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    • 2008
  • This paper concerns the development of a designer friendly hull form parameterization and its coupling with advanced global optimization algorithms. As optimization algorithms, we choose the Partial Swarm Optimization(PSO) recently introduced to solve global optimization problems. Most general-purpose optimization softwares used in industrial applications use gradient-based algorithms, mainly due to their convergence properties and computational efficiency when a relatively few number of variables are considered. However, local optimizers have difficulties with local minima and non-connected feasible regions. Because of the increase of computer power and of the development of efficient Global Optimization (GO) methods, in recent years nongradient-based algorithms have attracted much attention. Furthermore, GO methods provide several advantages over local approaches. In the paper, the derivative-based SQP and the GO approach PSO are compared with their relative performances in solving some typical ship design optimization problem focusing on their effectiveness and efficiency.

3D Automatic Mesh Generation Scheme for the Boundary Element Method (경계요소법을 위한 3차원 자동요소분할)

  • Lee, H.B.;Lee, S.H.;Kim, H.S.;Lee, K.S.;Hahn, S.Y.
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.935-937
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    • 1993
  • This paper presents a three dimensional automatic mesh generation scheme for the boundary element method, and this scheme can be applicable to practical problems of complex shape. The geometry of the problem is expressed as an assemblage of linear Coon's surfaces, and each surface is made up of four edge curves which are defined in the form of a parametric function. Curves are automatically segmented according to their characteristics. With these segments of curves, interior points and triangular mesh elements are generated in the parametric plane using Lindholm's method, and then their projection on the real surface forms the initial mesh. The refinement of initial mesh is performed so that the discrete triangular planes are close to the real continuous surfaces. The bisection method is used for the refinement. Finally, interior points in the refined mesh are rearranged so as to make each element be close with an equilateral triangle. An attempt has been made to apply the proposed method to a DY(Deflection Yoke) model.

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A Study on the Skirt Size Selection of a Composite Pressure Vessel using Optimum Analysis Technique (최적화 해석 기법을 이용한 복합재 압력용기의 스커트 치수 선정에 관한 연구)

  • Kim, Jun-Hwan;Jeon, Kwang-Woo;Shin, Kwang-Bok;Hwang, Tae-Kyung
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2012.05a
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    • pp.403-407
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    • 2012
  • The purpose of this study is to find the optimum skirt size for a composite pressure vessel using optimum analysis technique. The size optimization for skirt shape of a composite pressure vessel was conducted using sub-problem approximation method and batch processing codes programmed by APDL(ANSYS Parametric Design Language). The thickness and length of skirt part were selected as design variables for the optimum analysis. The objective function and constraints were chosen as weight and displacement of skirt part, respectively. The numerical results showed that the weight of skirt of a composite pressure vessel would be saved by maximum 4.38% through the size optimization analysis for the skirt shape.

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Mesh distortion, locking and the use of metric trial functions for displacement type finite elements

  • Kumar, Surendra;Prathap, G.
    • Structural Engineering and Mechanics
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    • v.29 no.3
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    • pp.289-300
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    • 2008
  • The use of metric trial functions to represent the real stress field in what is called the unsymmetric finite element formulation is an effective way to improve predictions from distorted finite elements. This approach works surprisingly well because the use of parametric functions for the test functions satisfies the continuity conditions while the use of metric (Cartesian) shape functions for the trial functions attempts to ensure that the stress representation during finite element computation can retrieve in a best-fit manner, the actual variation of stress in the metric space. However, the issue of how to handle situations where there is locking along with mesh distortion has never been addressed. In this paper, we show that the use of a consistent definition of the constrained strain field in the metric space can ensure a lock-free solution even when there is mesh distortion. The three-noded Timoshenko beam element is used to illustrate the principles. Some significant conclusions are drawn regarding the optimal strategy for finite element modelling where distortion effects and field-consistency requirements have to be reconciled simultaneously.

Generating censored data from Cox proportional hazards models (Cox 비례위험모형을 따르는 중도절단자료 생성)

  • Kim, Ji-Hyun;Kim, Bongseong
    • The Korean Journal of Applied Statistics
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    • v.31 no.6
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    • pp.761-769
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    • 2018
  • Simulations are important for survival analyses that deal with censored data. Cox models are widely used in survival analyses, therefore, we investigate how to generate censored data that can simulate the Cox model. Bender et al. (Statistics in Medicine, 24, 1713-1723, 2005) provided a parametric method for generating survival times, but we need to generate censoring times as well as survival times to simulate the censored data. In addition to the parametric method for generating censored data, a nonparametric method is also proposed and applied to a real data set.

Nonlinear finite element model of the beam-to-column connection for precast concrete frames with high ratio of the continuity tie bars

  • Sergio A. Coelho;Sergio A. Coelho
    • Computers and Concrete
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    • v.31 no.1
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    • pp.53-69
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    • 2023
  • The rotational stiffness of a semi-rigid beam-to-column connection plays an important role in the reduction of the second-order effects in the precast concrete skeletal frames. The aim of this study is to present a detailed nonlinear finite element study to reproduce the experimental response of a semi-rigid precast beam-to-column connection composed by corbel, dowel bar and continuity tie bars available in the literature. A parametric study was carried using four arrangements of the reinforcing tie bars in the connection, including high ratio of the continuity tie bars passing around the column in the cast-in-place concrete. The results from the parametric study were compared to analytical equations proposed to evaluate the secant rotational stiffness of beam-to-column connections. The good agreement with the experimental results was obtained, demonstrating that the finite element model can accurately predict the structural behaviour of the beam-to-column connection despite its complex geometric configuration. The secant rotational stiffness of the connection was good evaluated by the analytical model available in the literature for ratio of the continuity tie bars of up to 0.69%. Precast beam-to-column connection with a ratio of the continuity tie bars higher than 1.4% had the secant stiffness overestimated. Therefore, an adjustment coefficient for the effective depth of the crack at the end of the beam was proposed for the analytical model, which is a function of the ratio of the continuity tie bars.