• Title/Summary/Keyword: Newton method

Search Result 1,013, Processing Time 0.025 seconds

Comparison of Parameter Estimation Methods in A Kappa Distribution

  • Park Jeong-Soo;Hwang Young-A
    • Communications for Statistical Applications and Methods
    • /
    • v.12 no.2
    • /
    • pp.285-294
    • /
    • 2005
  • This paper deals with the comparison of parameter estimation methods in a 3-parameter Kappa distribution which is sometimes used in flood frequency analysis. Method of moment estimation(MME), L-moment estimation(L-ME), and maximum likelihood estimation(MLE) are applied to estimate three parameters. The performance of these methods are compared by Monte-carlo simulations. Especially for computing MME and L-ME, three dimensional nonlinear equations are simplified to one dimensional equation which is calculated by the Newton-Raphson iteration under constraint. Based on the criterion of the mean squared error, L-ME (or MME) is recommended to use for small sample size( n$\le$100) while MLE is good for large sample size.

An Analysis of Load Characteristics of Air-Lubricated Herringbone Groove Journal Bearing By Finite Element Method (공기윤활 빗살무늬 저널베어링의 부하특성에 대한 유한요소해석)

  • 박신욱;임윤철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
    • /
    • 2000.11a
    • /
    • pp.353-362
    • /
    • 2000
  • Herringbone groove journal bearing (HGJB) is developed to improve the static and dynamic performances of hydrodynamic journal bearing. In this study, static and dynamic compressible isothermal lubrication problems are analyzed by the finite element method together with the Newton-Raphson iterative procedure. This analysis is introduced for prediction of the static and dynamic characteristics of air lubricated HGJB for various bearing configurations. The bearing load characteristics and dynamic characteristics are dependent on geometric parameters such as asymmetric ratio, groove depth ratio, groove width ratio and groove angle.

  • PDF

Development of Black Shank Resistant Burley Tobacco Germplasm, KB 104 and KB 106, and Their Characteristics (버어리종 역병저항성 계통 KB 104와 KB 106의 육성경과 및 특성)

  • 조천준;김대송;정석훈;최상주;조명조
    • Journal of the Korean Society of Tobacco Science
    • /
    • v.17 no.1
    • /
    • pp.57-61
    • /
    • 1995
  • Black shank(Phytophthora parasitira roar. nicotianae) resistant burley tobacco (Nicotiana tabacum L.) germplasms, KB 104 and KB 106, were developed by Korea Ginseng & Tobacco Research Institute. KB 104 was developed from the single cross of Burley 21$\times$Newton 77, using a modified pedigree method. KB 104 was highly resistant to black shank, and its agronomic characteristics and chemical contents were comparable to those of Burley 21, and value per 10a was slightly higher than Burley 21, KB 106 is a maternally derived doubled haploid made by N. africana method from the single cross of Burley 21$\times$ Va 509. KB 106 was also highly resistant to black shank, had two more harvestable leaves per plant and flowered three days later than Burley 21 did. Total alkaloid and nicotine contents of KB 106 were significantly lower than those of Burley 21. But its nornicotine content was higher than Burley 21 5. Key wads : Burley tobacco germplasm, Black shank resistance.

  • PDF

2 Dimensional Nonlinear Finite Element Analysis for Layered Elastomeric Bearings (비선형 유한요소법에 의한 탄성받침의 이차원 해석)

  • Park, Moon-Ho;Kim, Jin-Kyu;Lee, Seong-Joon
    • Journal of the Korean Society of Industry Convergence
    • /
    • v.3 no.4
    • /
    • pp.329-336
    • /
    • 2000
  • A geometric and material nonlinear finite element analysis is developed for the layered elastomeric bearings. In this study, a mixed variational approach with separate variables is used to describe the displacement and volume change of rubber. To represent finely deformed behavior, Kirchoff stress tensors are used and converted Eulerian stress tensors to describe real physical meanings. Newton's method is utilized to solve the governing nonlinear finite element equations. Numerical test are performed in the case of compression and shear to verify the theory and to illustrate the application of this analysis. And the results of this study were compared to the results of Moore's discrete finite element analysis.

  • PDF

A Novel Algorithm of Underground Cable Fault Location based on the analysis of Distributed Parameter Circuit (분포정수회로 해석 방법을 이용한 지중선로 고장점 추정 알고리즘)

  • Yang Xia;Lee Duck Su;Choi Myeon Song
    • Proceedings of the KIEE Conference
    • /
    • summer
    • /
    • pp.412-414
    • /
    • 2004
  • In this paper, a novel algorithm of underground cable fault location based on the analysis of distributed parameter circuit is proposed. The proposed method makes voltage and current equations about core and sheath, and then establishes a function of the fault distance according to the analysis of fault conditions. Finally gets the solution of this function through Newton-Raphson iteration method. The effectiveness of proposed algorithm has been verified by Matlab program, and the cable parameters such as impedance and admittance are from EMTP simulation.

  • PDF

Nonlinear thermoelastic response of laminated composite conical panels

  • Joshi, R.M.;Patel, B.P.
    • Structural Engineering and Mechanics
    • /
    • v.34 no.1
    • /
    • pp.97-107
    • /
    • 2010
  • Nonlinear thermoelastic static response characteristics of laminated composite conical panels are studied employing finite element approach based on first-order shear deformation theory and field consistency principle. The nonlinear governing equations, considering moderately large deformation, are solved using Newton-Raphson iterative technique coupled with the adaptive displacement control method to efficiently trace the equilibrium path. The validation of the formulation for mechanical and thermal loading cases is carried out. The present results are found to be in good agreement with those available in the literature. The adaptive displacement control method is found to be capable of handling problems with multiple snapping responses. Detailed parametric study is carried out to highlight the influence of semicone angle, boundary conditions, radius-to-thickness ratio and lamination scheme on the nonlinear thremoelastic response of laminated cylindrical and conical panels.

Nonlinear behavior of fiber reinforced cracked composite beams

  • Akbas, Seref D.
    • Steel and Composite Structures
    • /
    • v.30 no.4
    • /
    • pp.327-336
    • /
    • 2019
  • This paper presents geometrically nonlinear behavior of cracked fiber reinforced composite beams by using finite element method with and the first shear beam theory. Total Lagrangian approach is used in the nonlinear kinematic relations. The crack model is considered as the rotational spring which separate into two parts of beams. In the nonlinear solution, the Newton-Raphson is used with incremental displacement. The effects of fibre orientation angles, the volume fraction, the crack depth and locations of the cracks on the geometrically nonlinear deflections of fiber reinforced composite are examined and discussed in numerical results. Also, the difference between geometrically linear and nonlinear solutions for the cracked fiber reinforced composite beams.

Bayesian Estimation of Three-parameter Bathtub Shaped Lifetime Distribution Based on Progressive Type-II Censoring with Binomial Removal

  • Chung, Younshik
    • Journal of the Korean Data Analysis Society
    • /
    • v.20 no.6
    • /
    • pp.2747-2757
    • /
    • 2018
  • We consider the MLE (maximum likelihood estimate) and Bayesian estimates of three-parameter bathtub-shaped lifetime distribution based on the progressive type II censoring with binomial removal. Jung, Chung (2018) proposed the three-parameter bathtub-shaped distribution which is the extension of the two-parameter bathtub-shaped distribution given by Zhang (2004). Jung, Chung (2018) investigated its properties and estimations. The maximum likelihood estimates are computed using Newton-Raphson algorithm. Also, Bayesian estimates are obtained under the balanced loss function using MCMC (Markov chain Monte Carlo) method. In particular, BSEL (balanced squared error loss) function is considered as a special form of balanced loss function given by Zellner (1994). For comparing theirs MLEs with the corresponding Bayes estimates, some simulations are performed. It shows that Bayes estimates is better than MLEs in terms of risks. Finally, concluding remarks are mentioned.

Combined effects of end-shortening strain, lateral pressure load and initial imperfection on ultimate strength of laminates: nonlinear plate theory

  • Ghannadpour, S.A.M.;Barvaj, A. Kurkaani
    • Steel and Composite Structures
    • /
    • v.33 no.2
    • /
    • pp.245-259
    • /
    • 2019
  • The present study aims to investigate the ultimate strength and geometric nonlinear behavior of composite plates containing initial imperfection subjected to combined end-shortening strain and lateral pressure loading by using a semi-analytical method. In this study, the first order shear deformation plate theory is considered with the assumption of large deflections. Regarding in-plane boundary conditions, two adjacent edges of the laminates are completely held while the two others can move straightly. The formulations are based on the concept of the principle of minimum potential energy and Newton-Raphson technique is employed to solve the nonlinear set of algebraic equations. In addition, Hashin failure criteria are selected to predict the failures. Further, two distinct models are assumed to reduce the mechanical properties of the failure location, complete ply degradation model, and ply region degradation model. Degrading the material properties is assumed to be instantaneous. Finally, laminates having a wide range of thicknesses and initial geometric imperfections with different intensities of pressure load are analyzed and discuss how the ultimate strength of the plates changes.

Damage detection using finite element model updating with an improved optimization algorithm

  • Xu, Yalan;Qian, Yu;Song, Gangbing;Guo, Kongming
    • Steel and Composite Structures
    • /
    • v.19 no.1
    • /
    • pp.191-208
    • /
    • 2015
  • The sensitivity-based finite element model updating method has received increasing attention in damage detection of structures based on measured modal parameters. Finding an optimization technique with high efficiency and fast convergence is one of the key issues for model updating-based damage detection. A new simple and computationally efficient optimization algorithm is proposed and applied to damage detection by using finite element model updating. The proposed method combines the Gauss-Newton method with region truncation of each iterative step, in which not only the constraints are introduced instead of penalty functions, but also the searching steps are restricted in a controlled region. The developed algorithm is illustrated by a numerically simulated 25-bar truss structure, and the results have been compared and verified with those obtained from the trust region method. In order to investigate the reliability of the proposed method in damage detection of structures, the influence of the uncertainties coming from measured modal parameters on the statistical characteristics of detection result is investigated by Monte-Carlo simulation, and the probability of damage detection is estimated using the probabilistic method.