• Title/Summary/Keyword: General linear model

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The linear-elastic stiffness matrix model analysis of pre-twisted Euler-Bernoulli beam

  • Huang, Ying;Zou, Haoran;Chen, Changhong;Bai, Songlin;Yao, Yao;Keer, Leon M.
    • Structural Engineering and Mechanics
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    • v.72 no.5
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    • pp.617-629
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    • 2019
  • Based on the finite element method of traditional straight Euler-Bernoulli beams and the coupled relations between linear displacement and angular displacement of a pre-twisted Euler-Bernoulli beam, the shape functions and stiffness matrix are deduced. Firstly, the stiffness of pre-twisted Euler-Bernoulli beam is developed based on the traditional straight Euler-Bernoulli beam. Then, a new finite element model is proposed based on the displacement general solution of a pre-twisted Euler-Bernoulli beam. Finally, comparison analyses are made among the proposed Euler-Bernoulli model, the new numerical model based on displacement general solution and the ANSYS solution by Beam188 element based on infinite approach. The results show that developed numerical models are available for the pre-twisted Euler-Bernoulli beam, and which provide more accurate finite element model for the numerical analysis. The effects of pre-twisted angle and flexural stiffness ratio on the mechanical property are investigated.

Stability Analysis of a Multi-Link TCP Vegas Model

  • Park, Poo-Gyeon;Choi, Doo-Jin;Choi, Yoon-Jong;Ko, Jeong-Wan
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1072-1077
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    • 2004
  • This paper provides a new approach to analyze the stability of a general multi-link TCP Vegas, which is a kind of feedback-based congestion algorithm. Whereas the conventional approaches use the approximately linearized model of the TCP Vegas along equilibrium pints, this approach models a multi-link TCP Vegas network in the form of a piecewise linear multiple time-delay system. And then, based on the exactly characterized dynamic model, this paper presents a new stability criterion via a piecewise and multiple delay-dependent Lyapunov-Krasovskii function. Especially, the resulting stability criterion is formulated in terms of linear matrix inequalities (LMIs).

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Poisson linear mixed models with ARMA random effects covariance matrix

  • Choi, Jiin;Lee, Keunbaik
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.4
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    • pp.927-936
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    • 2017
  • To analyze longitudinal count data, Poisson linear mixed models are commonly used. In the models the random effects covariance matrix explains both within-subject variation and serial correlation of repeated count outcomes. When the random effects covariance matrix is assumed to be misspecified, the estimates of covariates effects can be biased. Therefore, we propose reasonable and flexible structures of the covariance matrix using autoregressive and moving average Cholesky decomposition (ARMACD). The ARMACD factors the covariance matrix into generalized autoregressive parameters (GARPs), generalized moving average parameters (GMAPs) and innovation variances (IVs). Positive IVs guarantee the positive-definiteness of the covariance matrix. In this paper, we use the ARMACD to model the random effects covariance matrix in Poisson loglinear mixed models. We analyze epileptic seizure data using our proposed model.

A Fuzzy Allocation Model and Its Application to Attacker Assignment Problem (FUZZY 할당모형 및 공격항공기의 표적 할당 문제에 대한 응용)

  • Yun Seok-Jun;Go Sun-Ju
    • Journal of the military operations research society of Korea
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    • v.18 no.1
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    • pp.47-60
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    • 1992
  • A class of allocation problems can be modeled in a linear programming formulation. But in reality, the coefficient of both the cost and constraint equations can not be generally determined by crisp numbers due to the imprecision or fuzziness in the related parameters. To account for this. a fuzzy version is considered and solved by transforming to a conventional non-linear programming model. This gives a solution as well as the degree that the solution satisfies the objective and constraints simultaneously and hence will be very useful to a decision maker. An attacker assignment problem for multiple fired targets has been modeled by a linear programming formulation by Lemus and David. in which the objective is to minimize the cost that might occur on attacker's losses during the mission. A fuzzy version of the model is formulated and solved by transforming it to a conventional nonlinear programming formulation following the Tanaka's approach. It is also expected that the fuzzy approach will have wide applicability in general allocation problems

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Dynamic and Linear Simulation for the Open Cycle Liquid Rocket Engine (개방형 액체로켓엔진의 동특성 전산모사)

  • Jung Young-Suk;Lee Han-Ju;Lim Seok-Hee;Cho Kie-Joo;Cho Gyu-Sik;Oh Seung-Hyub
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2004.10a
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    • pp.239-242
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    • 2004
  • In this paper, the general mathematical model of LRE(Liquid Rocket Engine) is presented. For the analysis about the trend of dynamics and the stability of open type LRE, it is transformed to linear model by Laplace transform and synthesized to the linear complex model of LRE with Matlab/Simulink.

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BAYESIAN ESTIMATION PROCEDURES IN MULTIPROCESS DISCOUNT NORMAL MODEL

  • Sohn, Joong-Kweon;Kang, Sang-Gil;Kim, Heon-Joo
    • Journal of the Korean Data and Information Science Society
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    • v.6 no.2
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    • pp.29-39
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    • 1995
  • A model used in the past may be altered at will in modeling for the future. For this situation, the multiprocess dynamic model provides a general framework. In this paper we consider the multiprocess discount normal model with parameters having a time dependent non-linear structure. This model has nice properties such as insensitivity to outliers and quick reaction to abrupt changes of pattern.

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Finite Element of Composite Shells Based on General Curvilinear Coordinates (일반적인 곡선좌표계에 기초한 복합재료 적층쉘의 유한요소 해석)

  • 노희열;조맹효
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.11a
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    • pp.173-176
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    • 2000
  • Finite element model based on the Naghdi's shell theory in the general tensor-based form is formulated in the present study. Partial mixed variational functional for assumed strain is formulated in order to avoid the severe locking troubles known as transverse shear and membrane locking. The proposed assumed strain element in general tensor Naghdi's shell model provides very accurate solutions for thin shells in benchmark problems. In additions, linear elastic constitutive equations are given in the general curvilinear coordinate system including anisotropic layered structures. Thus laminated composited shell structures are easily analyzed in the present formulation.

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A total strain-based hysteretic material model for reinforced concrete structures: theory and verifications

  • Yun, Gun-Jin;Harmon, Thomas G.;Dyke, Shirley J.;So, Migeum
    • Computers and Concrete
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    • v.5 no.3
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    • pp.217-241
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    • 2008
  • In this paper, a total strain-based hysteretic material model based on MCFT is proposed for non-linear finite element analysis of reinforced concrete structures. Although many concrete models have been proposed for simulating behavior of structures under cyclic loading conditions, accurate simulations remain challenging due to uncertainties in materials, pitfalls of crude assumptions of existing models, and limited understanding of failure mechanisms. The proposed model is equipped with a fully generalized hysteresis rule and is formulated for 2D plane stress non-linear finite element analysis. The proposed model has been formulated in a tangent stiffness-based finite element scheme so that it can be used for most general finite element analysis packages. Moreover, it eliminates the need to check that tensile stresses can be transmitted across a crack. The tension stiffening model is a function of the bar orientation and any orientation can be accommodated. The proposed model has been verified with a series of experimental results of 2D RC planar panels. This study also demonstrates how parameters of the proposed model associated with cyclic damage modeling influences the pinched cyclic shear behavior.

A Study on Transient Analysis of Linear Induction Motor with Ununiform Airgap for Shallow-depth Underground Train (저심도철도용 선형유도전동기의 공극 불균일 과도특성 분석 연구)

  • Lee, Hyung-Woo;Park, Chan-Bae;Won, Sunghong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.5
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    • pp.723-729
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    • 2013
  • This paper presents an parallel type Linear Induction Motor with ununiform airgap for a shallow-depth underground train with 100‰ grade and 15 m curvature. This parallel type LIM has enough gradability but has inherently ununiform airgap between center and end parts. Consequently, performance when the train passes curved section should be considered with transient analysis. Moreover, general parallel operation, 1C2M which is usually used for train operation, deteriorates LIM performance because of different line velocity between inner and outer LIMs. Transient analysis has many problems such as huge model, lots of meshes, very long calculation time, truncation error and so on. This paper has presented a novel technique using equivalent linear rotating model in order to solve these problems and has analyzed parallel type LIM by using the proposed technique. Finally, LIM performance according to independent operating control has been investigated.