• Title/Summary/Keyword: state space form

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Formulation of the Neural Network for Implicit Constitutive Model (I) : Application to Implicit Vioscoplastic Model

  • Lee, Joon-Seong;Lee, Ho-Jeong;Furukawa, Tomonari
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.3
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    • pp.191-197
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    • 2009
  • Up to now, a number of models have been proposed and discussed to describe a wide range of inelastic behaviors of materials. The fatal problem of using such models is however the existence of model errors, and the problem remains inevitably as far as a material model is written explicitly. In this paper, the authors define the implicit constitutive model and propose an implicit viscoplastic constitutive model using neural networks. In their modeling, inelastic material behaviors are generalized in a state space representation and the state space form is constructed by a neural network using input-output data sets. A technique to extract the input-output data from experimental data is also described. The proposed model was first generated from pseudo-experimental data created by one of the widely used constitutive models and was found to replace the model well. Then, having been tested with the actual experimental data, the proposed model resulted in a negligible amount of model errors indicating its superiority to all the existing explicit models in accuracy.

Structural Optimization of Cantilever Beam in Conjunction with Dynamic Analysis

  • Zai, Behzad Ahmed;Park, M.K.;Lim, Seung-Chul;Lee, Joong-Won;Sindhu, Rashid Ali
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.397-401
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    • 2008
  • Knowledge of dynamic characteristics of structural elements often can make difference between success and failure in the design of structure due to resonance effect. In this paper an analytical model of a cantilever beam having midpoint load is considered for structural optimization. This involves creating the geometry which allows parametric study of all design variables. For that purpose optimization of cantilever beam is elaborated in order to find the optimum geometry which minimizes its volume eventually for minimum weight using ANSYS. But such geometry could be obtained by different combinations of width and height, so that it may have the same cross sectional area yet different dynamic behavior. So for optimum safe design, besides minimum volume it should have minimum vibration as well. In order to predict vibration different dynamic analyses are performed simultaneously to solve the eigenvalues problem assuming no damping initially through MATLAB simulations using state space form for modal analysis, which identifies the resonant frequencies and mode shapes belonging to the lowest three modes of vibration. And next by introducing damping effects tip displacement, bending stress and the vertical reaction force at the fixed end is evaluated under some dynamic load of varying frequency, and finally it is discussed how resonance can be avoided for particular design. Investigation of results clearly shows that only structural analysis is not enough to predict the optimum values of dimension for safe design. Potentially this technique will meet maintenance and cost goals of many organizations particularly for the application where dynamic loading is invertible and helps a lot ensuring that the proposed design will be safe for both static and dynamic conditions.

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Realization and Canonical Representation of Linear Systems through I/O Maps

  • Fadali, M. Sami;Oloomi, Hossein M.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1593-1598
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    • 2004
  • In this paper, we use the input and output maps and develop simple procedures to obtain realizations for linear continuous-time systems. The procedures developed are numerically efficient and yield explicit formulae for the state space matrices of the realization in terms of the system parameters, notably the system modes. Both cases of the systems with distinct modes and repeated modes are treated. We also present a procedure for converting a realization obtained through the input or output map into the Jordan canonical form. The transformation matrices required to bring the realization into the Jordan canonical form are specified entirely in terms of the system modes.

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Model Reference Adaptive Control of a Flexible Structure

  • Yang, Kyung-Jinn;Hong, Keum-Shik;Rhee, Eun-Jun;Yoo, Wan-Suk
    • Journal of Mechanical Science and Technology
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    • v.15 no.10
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    • pp.1356-1368
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    • 2001
  • In this paper, the model reference adaptive control (MRAC) of a flexible structure is investigated. Any mechanically flexible structure is inherently distributed parameter in nature, so that its dynamics are described by a partial, rather than ordinary, differential equation. The MRAC problem is formulated as an initial value problem of coupled partial and ordinary differential equations in weak form. The well-posedness of the initial value problem is proved. The control law is derived by using the Lyapunov redesign method on an infinite dimensional filbert space. Uniform asymptotic stability of the closed loop system is established, and asymptotic tracking, i. e., convergence of the state-error to zero, is obtained. With an additional persistence of excitation condition for the reference model, parameter-error convergence to zero is also shown. Numerical simulations are provided.

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A Study On the Concept of Lightness in Fashion of the Early 1990's (90년대초 복식에 나타난 가벼움에 관한 고찰)

  • 최윤미
    • Journal of the Korean Society of Clothing and Textiles
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    • v.18 no.5
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    • pp.727-738
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    • 1994
  • It has been representing the delicate changes which express new sentiments through the floating, fluid, free look with the transparent, sheer material in fashion during the early 1990's. The concept of lightness is selected to describe the phenomenon of recent fashion. The purpose of this study is to identify the distinctive characteristics of lightness as external forms and internal meaning in fashion of the early 1990's. The data were collected from fashion magazines such as American Vogue, Italian Vogue from 1987 to 1994. The characteristics of lightness of fashion in the early 1990's are as follows; The external forms are consisted of the material such as the transparent, sheer, soft material, of slim and bell silhouette which occupying the more space in bottom, of the drapery, pleats to shape the unfitted look and is identified as the open, whole, indeterminate and planar intergration form according to the category of clothing form suggested by Belong. It is also the reflection of the social changes which is getting out of the modernity. It is the results of the dominant social state which are diffused the sensual pleasures, transitoriness.

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SURFACES OF REVOLUTION SATISFYING ΔIIG = f(G + C)

  • Baba-Hamed, Chahrazede;Bekkar, Mohammed
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.4
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    • pp.1061-1067
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    • 2013
  • In this paper, we study surfaces of revolution without parabolic points in 3-Euclidean space $\mathbb{R}^3$, satisfying the condition ${\Delta}^{II}G=f(G+C)$, where ${\Delta}^{II}$ is the Laplace operator with respect to the second fundamental form, $f$ is a smooth function on the surface and C is a constant vector. Our main results state that surfaces of revolution without parabolic points in $\mathbb{R}^3$ which satisfy the condition ${\Delta}^{II}G=fG$, coincide with surfaces of revolution with non-zero constant Gaussian curvature.

Nonlinear Characteristics of Fuzzy Scatter Partition-Based Fuzzy Inference System

  • Park, Keon-Jun;Huang, Wei;Yu, C.;Kim, Yong K.
    • International journal of advanced smart convergence
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    • v.2 no.1
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    • pp.12-17
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    • 2013
  • This paper introduces the fuzzy scatter partition-based fuzzy inference system to construct the model for nonlinear process to analyze nonlinear characteristics. The fuzzy rules of fuzzy inference systems are generated by partitioning the input space in the scatter form using Fuzzy C-Means (FCM) clustering algorithm. The premise parameters of the rules are determined by membership matrix by means of FCM clustering algorithm. The consequence part of the rules is represented in the form of polynomial functions and the parameters of the consequence part are estimated by least square errors. The proposed model is evaluated with the performance using the data widely used in nonlinear process. Finally, this paper shows that the proposed model has the good result for high-dimension nonlinear process.

System Identification for Active Vibration control (능동 진동제어를 위한 시스템 동정)

  • 송철기;황진권;최종호;이장무
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.397-401
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    • 1994
  • This paper proposes an identification method for a thin plate where multiple actuators and sensors are bonded. Since a thin plate has small damping ratios of all modes, each mode can be identified seperately with a bandpass filter for each modal signal. With the bandpass filter and the characteristics of the plate, the Multi-Input Multi-Output (MIMO) model of the plate can be converted to several Multi-Input Single-Output(MISO) models of second order linear difference equations of the modes. Parameters for each mode are obtained by using the Least Square method. Form there MISO models, the MIMO model is obtained in the form of the state space. Experiments were performed for an all-clamped plate with two pairs of piezoelectric actuators and sensors. The outputs of the identified model and the experimental data match well.

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Sensitivity-based reliability analysis of earth slopes using finite element method

  • Ji, Jian;Liao, Hong-Jian
    • Geomechanics and Engineering
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    • v.6 no.6
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    • pp.545-560
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    • 2014
  • For slope stability analysis, an alternative to the classical limit equilibrium method (LEM) of slices is the shear strength reduction method (SRM), which can be integrated into finite element analysis or finite difference analysis. Recently, probabilistic analysis of earth slopes has been very attractive because it is capable to take the soil uncertainty into account. However, the SRM is less commonly extended to probabilistic framework compared to a variety of probabilistic LEM analysis of earth slopes. To overcome some limitations that hinder the development of probabilistic SRM stability analysis, a new procedure based on recursive algorithm FORM with sensitivity analysis in the space of original variables is proposed. It can be used to deal with correlated non-normal variables subjected to implicit limit state surface. Using the proposed approach, a probabilistic finite element analysis of the stability of an existing earth dam is carried out in this paper.

Analytic Linearization of Symbolic Nonlinear Equations (기호 비선형 방정식의 해석적 선형화)

  • Song, Sung-Jae;Moon, Hong-Ki
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.6
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    • pp.145-151
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    • 1995
  • The first-order Taylor series expansion can be evaluated analytically from the formulated symbolic nonlinear dynamic equations. A closed-form linear dynamic euation is derived about a nominal trajectory. The state space representation of the linearized dynamics can be derived easily from the closed-form linear dynamic equations. But manual symbolic expansion of dynamic equations and linearization is tedious, time-consuming and error-prone. So it is desirable to manipulate the procedures using a computer. In this paper, the analytic linearization is performed using the symbolic language MATHEMATICA. Two examples are given to illustrate the approach anbd to compare nonlinear model with linear model.

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