• Title/Summary/Keyword: Generalized Modeling

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The use of generalized functions modeling the concentrated loads on Timoshenko beams

  • Falsone, Giovanni
    • Structural Engineering and Mechanics
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    • v.67 no.4
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    • pp.385-390
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    • 2018
  • An incongruity is underlined about the analysis of Timoshenko beams subjected to concentrated loads modelled through the use of generalized functions. While for Euler-Bernoulli beams this modeling always leads to effective results, on the contrary, the contemporary assumptions of concentrated external moment, interpreted as a generalized function (doublet), and of shear deformation determine inconsistent discontinuities in the deflection laws. A physical/theoretical explanation of this not-neglecting incongruity is given in the text.

Kinematic Modeling of Mobile Robots by Transfer Method of Generalized Coordinates (좌표계 전환기법을 활용한 모바일 로봇의 기구학 모델링)

  • 김도형;김희국;이병주
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.44-44
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    • 2000
  • Firstly, kinematic model of various type of wheels which includesskidding and skidding friction are presented. Tend, the transfer method of generalized coordinates which is useful to model the parallel mechanisms, can be applied to mobile robot by including such friction terms. Particularly, by appling the modeling method to mobile robot consisting of two conventional wheels and one caster wheel, forword/reverse kinematic modeling could be obtained without using pseudoinverse solutions.

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Modeling Approaches for Dynamic Robust Design Experiment

  • Bae, Suk-Joo
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.11a
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    • pp.373-376
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    • 2006
  • In general, there are three kinds of methods in analyzing dynamic robust design experiment: loss model approach, response function approach, and response model approach. In this talk, we review the three modeling approaches in terms of several criteria in comparison. This talk also generalizes the response model approach based on a generalized linear model. We develop a generalized two-step optimization procedure to substantially reduce the process variance by dampening the effect of both explicit and hidden noise variables. The proposed method provides more reliable results through iterative modeling of the residuals from the fitted response model. The method is compared with three existing approaches in practical examples.

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Enhanced generalized modeling method for compliant mechanisms: Multi-Compliant-Body matrix method

  • Lim, Hyunho;Choi, Young-Man
    • Structural Engineering and Mechanics
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    • v.82 no.4
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    • pp.503-515
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    • 2022
  • The multi-rigid-body matrix method (MRBMM) is a generalized modeling method for obtaining the displacements, forces, and dynamic characteristics of a compliant mechanism without performing inner-force analysis. The method discretizes a compliant mechanism of any type into flexure hinges and rigid bodies by implementing a multi-body mass-spring model using coordinate transformations in a matrix form. However, in this method, the deformations of bodies that are assumed to be rigid are inherently omitted. Consequently, it may yield erroneous results in certain mechanisms. In this paper, we present a multi-compliant-body matrix-method (MCBMM) that considers a rigid body as a compliant element, while retaining the generalized framework of the MRBMM. In the MCBMM, a rigid body in the MRBMM is segmented into a certain number of body nodes and flexure hinges. The proposed method was verified using two examples: the first (an XY positioning stage) demonstrated that the MCBMM outperforms the MRBMM in estimating the static deformation and dynamic mode. In the second example (a bridge-type displacement amplification mechanism), the MCBMM estimated the displacement amplification ratio more accurately than several previously proposed modeling methods.

Volumetric NURBS Representation of Multidimensional and Heterogeneous Objects: Concepts and Formation (VNURBS기반의 다차원 불균질 볼륨 객체의 표현: 개념 및 형성)

  • Park S. K.
    • Korean Journal of Computational Design and Engineering
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    • v.10 no.5
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    • pp.303-313
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    • 2005
  • This paper proposes a generalized NURBS model, called Volumetric NURBS or VNURBS for representing volumetric objects with multiple attributes embedded in multidimensional space. This model provides a mathematical framework for modeling complex structure of heterogeneous objects and analyzing inside of objects to discover features that are directly inaccessible, for deeper understanding of complex field configurations. The defining procedure of VNURBS, which explains two directional extensions of NURBS, shows VNURBS is a generalized volume function not depending on the domain and its range dimensionality. And the recursive a1gorithm for VNURBS derivatives is described as a computational basis for efficient and robust volume modeling. In addition, the specialized versions of VNURBS demonstrate that VNURBS is applicable to various applications such as geometric modeling, volume rendering, and physical field modeling.

Inverse Hysteresis Modeling for Piezoelectric Stack Actuators with Inverse Generalized Prandtl-Ishlinskii Model (Inverse Generalized Prandtl-Ishlinskii Model를 이용한 압전 스택 액추에이터의 역 히스테리시스 모델링)

  • Ko, Young-Rae;Kim, Tae-Hyoung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.24 no.2
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    • pp.193-200
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    • 2014
  • Piezoelectric actuators have been widely used in various applications because they have many advantages such as fast response time, repeatable nanometer motion, and high resolution. However Piezoelectric actuators have the strong hysteresis effect. The hysteresis effect can degrade the performance of the system using piezoelectric actuators. In past study, the parameters of the inverse hysteresis model are computed from the identified parameters using the Generalized Prandtl-Ishlinskii(GPI) model to cancel the hysteresis effect, however according to the identified parameters there exist the cases that can't form the inverse hysteresis loop. Thus in this paper the inverse hysteresis modeling mothod is proposed using the Inverse Generalized Prandtl-Ishlinskii(IGPI) model to handle that problem. The modeling results are verified by experimental results using various input signals.

Kinematic Modeling of Mobile Robots by Transfer Method of Augmented Generalized Coordinates (확장된 좌표계 전환기법에 의한 모바일 로봇의 기구학 모델링)

  • Kim, Wheekuk;Kim, Do-Hyung;Yi, Byung-Ju
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.3
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    • pp.233-242
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    • 2002
  • A kinematic modeling method is proposed which models the sliding and skidding at the wheels as pseudo joints and utilizes those pseudo joint variables as augmented variables. Kinematic models of various type of wheels are derived based on this modeling method. Then, the transfer method of augmented generalized coordinates is applied to obtain inverse and forward kinematic models of mobile robots. The kinematic models of five different types of planar mobile robots are derided to show the effectiveness of the proposed modeling method.

Validation of Generalized State Space Averaging Method for Modeling and Simulation of Power Electronic Converters for Renewable Energy Systems

  • Rimmalapudi, Sita R.;Williamson, Sheldon S.;Nasiri, Adel;Emadi, Ali
    • Journal of Electrical Engineering and Technology
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    • v.2 no.2
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    • pp.231-240
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    • 2007
  • This paper presents an advanced modeling and simulation technique applied to DC/DC power electronic converters fed through renewable energy power sources. The distributed generation (DG) system at the Illinois Institute of Technology, which employs a phase-l system consisting of a photovoltaic-based power system and a phase-2 system consisting of a fuel cell based primary power source, is studied. The modeling and simulation of the DG system is done using the generalized state space averaging (GSSA) method. Furthermore, the paper compares the results achieved upon simulation of the specific GSSA models with those of popular computer aided design software simulations performed on the same system. Finally, the GSSA and CAD software simulation results are accompanied with test results achieved via experimentation on both, the PV-based phase-l system and the fuel cell based phase-2 power system.

A SKEWED GENERALIZED t DISTRIBUTION

  • NADARAJAH SARALEES
    • Journal of the Korean Statistical Society
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    • v.34 no.4
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    • pp.311-329
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    • 2005
  • Skewed t distributions have attracted significant attention in the last few years. In this paper, a generalization - referred to as the skewed generalized t distribution - with the pdf f(x) = 2g(x)G(${\lambda}x$) is introduced, where g(${\cdot}$) and G (${\cdot}$) are taken, respectively, to be the pdf and the cdf of the generalized t distribution due to McDonald and Newey (1984, 1988). Several particular cases of this distribution are identified and various representations for its moments derived. An application is provided to rainfall data from Orlando, Florida.

Weak forms of generalized governing equations in theory of elasticity

  • Shi, G.;Tang, L.
    • Interaction and multiscale mechanics
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    • v.1 no.3
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    • pp.329-337
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    • 2008
  • This paper presents the derivation of the generalized governing equations in theory of elasticity, their weak forms and the some applications in the numerical analysis of structural mechanics. Unlike the differential equations in classical elasticity theory, the generalized equations of the equilibrium and compatibility equations presented here take the form of integral equations, and the generalized equilibrium equations contain the classical differential equations and the boundary conditions in a single equation. By using appropriate test functions, the weak forms of these generalized governing equations can be established. It can be shown that various variational principles in structural analysis are merely the special cases of these weak forms of generalized governing equations in elasticity. The present weak forms of elasticity equations extend greatly the choices of the trial functions for approximate solutions in the numerical analysis of various engineering problems. Therefore, the weak forms of generalized governing equations in elasticity provide a powerful modeling tool in the computational structural mechanics.