• Title/Summary/Keyword: impulsive equation

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An Application of Linear Singular System Theory To Electric Circuits (선형 Singular 시스템 이론의 전기 회로에의 적용)

  • Hoon Kang
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.12
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    • pp.1625-1632
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    • 1988
  • This paper aims not only to introduce the concept of linear singular systems, geometric structure, and feedback but also to provide applications of the multivariable linear singular system theories to electric circuits which may appear in some electronic equipments. The impulsive or discontinuous behavior which is not desirable can be removed by the set of admissible initial conditions. The output-nulling supremal (A,E,B) invariant subspace and the singular system structure algorithm are applied to this double-input double-output electric circuit. The Weierstrass form of the pencil (s E-A) is related to the output-nulling supremal (A,E,B) invariant subspace from which the time domain solutions of the finite and the infinite subsystems are found. The generalized Lyapunov equation for this application with feedback is studied and finally, the use of orthogonal functions in singular systems is discussed.

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Vibration Control of Flexible Robot Manipulator (유연한 로보트 팔의 진동제어)

  • Park, Young-Pil;Ha, Young-Kyun
    • Journal of the Korean Society for Precision Engineering
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    • v.3 no.2
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    • pp.28-38
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    • 1986
  • An analytical and experimental investigation is made to the dynamic responese of a cantilever with a tip mass that models some of the basic phenomena involved in the response of a flexible manipulator with a tip mass on its free end under the given rotating motion. The system equation is derived from the Hamilton's principle on the basis of the Euler-Bernoulli hypothesis and an approximate solution is obtained from model analysis using Galerkin's method for the vibation response of the system subjected to a sudden stop after an impulsive rotation. Experiment was performed to verify the validity of the theoretical analysis. Results are given for the vibration amplitude of the free end with respect to tip mass ratio, non-dimensionalized rotating velocity, rotating angle and non- dimensionalized hub length. The rotating condition to minimize the vibration amplitude of the free end can be determined for the given basic paramenters.

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OSCILLATION OF ONE ORDER NEUTRAL DIFFERENTIAL EQUATION WITH IMPULSES

  • Cheng, Jinfa;Chu, Yuming
    • Communications of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.197-205
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    • 2011
  • Explicit sufficient conditions are established for the oscillation of the one order neutral differential equations with impulsive $(x(t)+{\sum\limits^n_{i=1}}c_ix(t-{\sigma}_i))'+px(t-{\tau})=0$, $t{\neq}t_{\kappa}$, ${\Delta}(x(t_{\kappa})+{\sum\limits^n_{i=1}}c_ix(t_{\kappa}-{\sigma}_i))+p_0x(t_{\kappa}-{\tau})=0$, $c_i{\geq}0$, $i=1,2,{\ldots}n$, $p{\tau}$>0, $p_0{\tau}$>0, ${\Delta}(x_{\kappa})=x(t^+_{\kappa})-x(t_{\kappa})$. Explicit sufficient and necessary condition are established when $c_i$ = 0, i = 1, 2, ${\ldots}$, n.

Earthquake Analaysis of Cylindrical Liquid Storage tanks Considering Effects of Soil-Structure Interaction (지반-구조물 상호작용을 고려한 원통형 유체저장탱크의 지진해석)

  • 김재민
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1999.10a
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    • pp.83-90
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    • 1999
  • This paper presents a method of seismic analysis for a cylindrical liquid storage structure on horizontally layered half-space considering the effects of the interior fluid and exterior soil medium in the frequency domain. the horizontal and rocking motions of the structures are included in this study. The fluid motion is expressed in terms of analytical velocity potential function which can be obtained by solving the boundary value problem including the sloshing behavior of the fluid as well as deformed configuration of the structure. The effect of the fluid is included in the equation of motion as the impulsive added mass and a frequency-dependent convective added mass along the nodes on the wetted boundary with structure. The soil medium is presented using the 3-D axisymmetric finite elements and dynamic infinite elements. The present method can be applied to the structures embedded in ground as well as on ground since it models the soil medium directly as well as the structure. For the purpose of vertification dynamci characteristics of a tank on homogeneous half-space is analyzed. Comparison of the present results with those by others shows good agreement.

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The Effect of Childhood Trauma on Anger Behavior through Cognitive Response of Anger among Prisoners (수형자들의 아동기 외상이 분노유발사건에 대한 행동적 반응에 미치는 영향과 인지적 매개효과)

  • Hwang, Da-Yeon;Lee, Kyoung-Soon;Jang, Eun-Young
    • Anxiety and mood
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    • v.10 no.2
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    • pp.95-102
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    • 2014
  • Objective : Previous research showed that childhood trauma or domestic violence resulted in difficulties in controlling emotion and problem solving and vulnerability to psychiatric disorders. To understand the long term effect of childhood trauma, this study investigated their influences on cognitive processing of anger-evoking event and anger behavior among prisoners. Methods : All data were collected from 198 prisoners off our districts in Korea. After they consented to participate, prison officer distributed a questionnaire that included scales to demographic measure, childhood abuse (emotional abuse, physical abuse, and neglect), cognitive response of anger (attentional focus, suspicion, rumination, and hostile attitude) and behavior of anger (impulsive reaction, verbal aggression, physical confrontation, and indirect expression). For statistical analyses, SPSS 18.0 were used and path coefficients were evaluated from the structural equational modeling using LISREL 8.52. Results : Almost 50% of prisoners of our sample experienced one or more trauma during childhood. Then we tested the long term effect of childhood trauma on anger response by structural equation modeling. As expected, childhood trauma was associated with cognitive processing of anger-evoking event and anger behavior. More specifically, emotional abuse (${\beta}$=0.21, p<0.01) predicted suspicion which in turn associated with impulsive reaction (${\beta}$=0.73, p<0.001) and verbal aggression (${\beta}$=0.87, p<0.001). Emotional abuse (${\beta}$=0.24, p<0.01) also predicted hostile attitude which associated with physical confrontation (${\beta}$=0.80, p<0.001) and indirect expression (${\beta}$=0.80, p<0.001). Interestingly, physical abuse associated directly with impulsive reaction (${\beta}$=0.23, p<0.01) and indirect expression (${\beta}$=0.17, p<0.05). Neglect predicted rumination (${\beta}$=0.15, p <0.05) which associated with indirect expression marginally (${\beta}$=0.11, P<0.10). Conclusion : The results of this study, suggest longitudinal and harmful effect of childhood trauma on difficulties in controlling anger. Especially, it was revealed that childhood abuse related with processing anger evoking events more suspicious and hostile and then various anger-expressing behaviors.

Nonlinear Anisotropic Diffusion Using Adaptive Weighted Median Filters (적응 가중 미디언 필터를 이용한 영상 확산 알고리즘)

  • Hwang, In-Ho;Lee, Kyung-Hoon;Kim, Woong-Hee
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.5C
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    • pp.542-549
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    • 2007
  • Recently, many research activities in the image processing area are concentrated on developing new algorithms by finding the solution of the 'diffusion equation'. The diffusion algorithms are expected to be utilized in numerous applications including noise removal and image restoration, edge detection, segmentation, etc. In this paper, at first, it will be shown that the anisotropic diffusion algorithms have the similar structure with the adaptive FIR filters with cross-shaped 5-tap kernel, and this relatively small-sized kernel causes many iterating procedure for satisfactory filtering effects. Moreover, it will also be shown that lots of modifications which are adopted to the conventional Gaussian diffusion method in order to weaken the edge blurring nature of the linear filtering process increases another computational burden. We propose a new Median diffusion scheme by replacing the adaptive linear filters in the diffusion process with the AWM (Adaptive Weighted Median) filters. A diffusion-equation-based adaptation scheme is also proposed. With the proposed scheme, the size of the diffusion kernel can be increased, and thus diffusion speed greatly increases. Simulation results shows that the proposed Median diffusion scheme outperforms in noise removal (especially impulsive noise), and edge preservation.

Evaluation of Impact Damage Behavior of a Reinforced Concrete Wall Strengthened with Advanced Composite Materials (복합신소재로 보강된 철근 콘크리트 구조물의 충돌손상거동 평가)

  • Noh, Myung-Hyun;Lee, Sang-Youl
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.1 no.3
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    • pp.41-48
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    • 2010
  • In this paper, the analysis of impact damage behavior of a reinforced concrete structure that undergoes both a shock impulsive loading and an impact loading due to the air blast induced from an explosion is performed. Firstly, a pair of multiple loadings are selected from the scenario that an imaginary explosion accident is assumed. The RC structures strengthened with advanced composite materials (ACM) are considered as a scheme for retrofitting RC wall structures subjected to multiple explosive loadings and then the evaluation of the resistant performance against them is presented in comparison with the result of the evaluation of a RC structure without a retrofit. Also, in order to derive the result of the analysis similar to that of real explosion experiments, which require the vast investment and expense for facilities, the constitutive equation and the equation of state (EOS) which can describe the real impact and shock phenomena accurately are included with them. In addition, the numerical simulations of two concrete structures are achieved using AUTODYN-3D, an explicit analysis program, in order to prove the retrofit performance of a ACM-strengthened RC wall structure.

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Analysis of impact damage behavior of GFRP-strengthened RC wall structures subjected to multiple explosive loadings (복합 폭발하중을 받는 GFRP 보강 RC 벽체 구조물의 비선형 충격 손상거동 해석)

  • Noh, Myung-Hyun;Lee, Sang-Youl;Park, Tae-Hyo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.04a
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    • pp.1033-1036
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    • 2008
  • In this paper, the analysis of impact damage behavior of a reinforced concrete structure that undergoes both a shock impulsive loading and an impact loading due to the air blast induced from an explosion is performed. Firstly, a pair of multiple loadings are selected from the scenario that an imaginary explosion accident is assumed. The RC structures strengthened with glass fiber reinforced polymer (GFRP) composites are considered as a scheme for retrofitting RC wall structures subjected to multiple explosive loadings and then the evaluation of the resistant performance against them is presented in comparison with the result of the evaluation of a RC structure without a retrofit. Also, in order to derive the result of the analysis similar to that of real explosion experiments, which require the vast investment and expense for facilities, the constitutive equation and the equation of state (EOS) which can describe the real impact and shock phenomena accurately are included with them. In addition, the numerical simulations of two concrete structures are achieved using AUTODYN-3D, an explicit analysis program, in order to prove the retrofit performance of a GFRP-strengthened RC wall structure.

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Quantification of nonlinear seismic response of rectangular liquid tank

  • Nayak, Santosh Kumar;Biswal, Kishore Chandra
    • Structural Engineering and Mechanics
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    • v.47 no.5
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    • pp.599-622
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    • 2013
  • Seismic response of two dimensional liquid tanks is numerically simulated using fully nonlinear velocity potential theory. Galerkin-weighted-residual based finite element method is used for solving the governing Laplace equation with fully nonlinear free surface boundary conditions and also for velocity recovery. Based on mixed Eulerian-Lagrangian (MEL) method, fourth order explicit Runge-Kutta scheme is used for time integration of free surface boundary conditions. A cubic-spline fitted regridding technique is used at every time step to eliminate possible numerical instabilities on account of Lagrangian node induced mesh distortion. An artificial surface damping term is used which mimics the viscosity induced damping and brings in numerical stability. Four earthquake motions have been suitably selected to study the effect of frequency content on the dynamic response of tank-liquid system. The nonlinear seismic response vis-a-vis linear response of rectangular liquid tank has been studied. The impulsive and convective components of hydrodynamic forces, e.g., base shear, overturning base moment and pressure distribution on tank-wall are quantified. It is observed that the convective response of tank-liquid system is very much sensitive to the frequency content of the ground motion. Such sensitivity is more pronounced in shallow tanks.

Wave load resistance of high strength concrete slender column subjected to eccentric compression

  • Jayakumar, M.;Rangan, B.V.
    • Structural Engineering and Mechanics
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    • v.50 no.3
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    • pp.287-304
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    • 2014
  • A computer based iterative numerical procedure has been developed to analyse reinforced high strength concrete columns subjected to horizontal wave loads and eccentric vertical load by taking the material, geometrical and wave load non-linearity into account. The behaviour of the column has been assumed, to be represented by Moment-Thrust-Curvature relationship of the column cross-section. The formulated computer program predicts horizontal load versus deflection behaviour of a column up to failure. The developed numerical model has been applied to analyse several column specimens of various slenderness, structural properties and axial load ratios, tested by other researchers. The predicted values are having a better agreement with experimental results. A simplified user friendly hydrodynamic load model has been developed based on Morison equation supplemented with a wave slap term to predict the high frequency non-linear impulsive hydrodynamic loads arising from steep waves, known as ringing loads. A computer program has been formulated based on the model to obtain the wave loads and non-dimensional wave load coefficients for all discretised nodes, along the length of column from instantaneous free water surface to bottom of the column at mud level. The columns of same size and material properties but having different slenderness ratio are analysed by the developed numerical procedure for the simulated wave loads under various vertical thrust. This paper discusses the results obtained in detail and effect of slenderness in resisting wave loads under various vertical thrust.