• Title/Summary/Keyword: Damped Systems

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State-Space Approach to Modeling Dynamics of Gene Regulation in Networks

  • Xiong, Momiao;Jin, Li
    • Proceedings of the Korean Society for Bioinformatics Conference
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    • 2005.09a
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    • pp.191-196
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    • 2005
  • Genetic networks are a key to unraveling dynamic properties of biological processes and regulation of genes plays an essential role in dynamic behavior of the genetic networks. A popular characterization of regulation of the gene is a kinetic model. However, many kinetic parameters in the genetic regulation have not been available. To overcome this difficulty, in this report, state-space approach to modeling gene regulation is presented. Second-order systems are used to characterize gene regulation. Interpretation of coefficients in the second order systems as resistance, capacitance and inductance is studied. The mathematical methods for transient response analysis of gene regulation to external perturbation are investigated. Criterion for classifying gene into three categories: underdamped, overdamped and critical damped is discussed. The proposed models are applied to yeast cell cycle gene expression data.

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Vibration Analysis of Frame Structural Systems by the Receptance Method

  • Han, S.Y.;Kim, K.C.
    • Selected Papers of The Society of Naval Architects of Korea
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    • v.1 no.1
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    • pp.52-64
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    • 1993
  • There exist many frame structural systems having some attachments reducible to damped spring-mass systems, concentracted masses and spring supports. For free and forced vibration analyses of such a system an analytical method based on the receptance method is presented. A framed structure having attachments is considered as a combined system composed of various Timoshenko beam and bar elements and the attachments. So, the vibration characteristics of the system are calculated by synthesizing receptances and Support Displacement Transfer Ratio (SDTR) of beam and bar elements In spectral and/or closed forms, and receptances of the attachments. In forced vibration analysis, arbitrary excitation forces at a point on the structure and displacement excitations at boundaries are considered. Numerical investigations are carried out for verification of the presented method, and the results show good accuracy and very high computational efficiency.

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Krylov subspace-based model order reduction for Campbell diagram analysis of large-scale rotordynamic systems

  • Han, Jeong Sam
    • Structural Engineering and Mechanics
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    • v.50 no.1
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    • pp.19-36
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    • 2014
  • This paper focuses on a model order reduction (MOR) for large-scale rotordynamic systems by using finite element discretization. Typical rotor-bearing systems consist of a rotor, built-on parts, and a support system. These systems require careful consideration in their dynamic analysis modeling because they include unsymmetrical stiffness, localized nonproportional damping, and frequency-dependent gyroscopic effects. Because of this complex geometry, the finite element model under consideration may have a very large number of degrees of freedom. Thus, the repeated dynamic analyses used to investigate the critical speeds, stability, and unbalanced response are computationally very expensive to complete within a practical design cycle. In this study, we demonstrate that a Krylov subspace-based MOR via moment matching significantly speeds up the rotordynamic analyses needed to check the whirling frequencies and critical speeds of large rotor systems. This approach is very efficient, because it is possible to repeat the dynamic simulation with the help of a reduced system by changing the operating rotational speed, which can be preserved as a parameter in the process of model reduction. Two examples of rotordynamic systems show that the suggested MOR provides a significant reduction in computational cost for a Campbell diagram analysis, while maintaining accuracy comparable to that of the original systems.

The Evolution of Outrigger System in Tall Buildings

  • Ho, Goman W.M.
    • International Journal of High-Rise Buildings
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    • v.5 no.1
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    • pp.21-30
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    • 2016
  • The structural efficiency of tall buildings heavily depends on the lateral stiffness and resistance capacity. Among those structural systems for tall buildings, outrigger system is one of the most common and efficient systems especially for those with relatively regular floor plan. The use of outriggers in building structures can be traced back from early 50 from the concept of deep beams. With the rise of building height, deep beams become concrete walls or now in a form of at least one story high steel truss type of outriggers. Because of the widened choice in material to be adopted in outriggers, the form and even the objective of using outrigger system is also changing. In the past, outrigger systems is only used to provide additional stiffness to reduce drift and deflection. New applications for outrigger systems now move to provide additional damping to reduce wind load and acceleration, and also could be used as structural fuse to protect the building under a severe earthquake condition. Besides analysis and member design, construction issue of outrigger systems is somehow cannot be separated. Axial shortening effect between core and perimeter structure is unavoidable. This paper presents a state-of-the-art review on the outrigger system in tall buildings including development history and applications of outrigger systems in tall buildings. The concept of outrigger system, optimum topology, and design and construction consideration will also be discussed and presented.

Equivalent modal damping ratios for non-classically damped hybrid steel concrete buildings with transitional storey

  • Sivandi-Pour, Abbas;Gerami, Mohsen;Khodayarnezhad, Daryush
    • Structural Engineering and Mechanics
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    • v.50 no.3
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    • pp.383-401
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    • 2014
  • Over the past years, hybrid building systems, consisting of reinforced concrete frames in bottom and steel frames in top are used as a cost-effective alternative to traditional structural steel or reinforced concrete constructions. Dynamic analysis of hybrid structures is usually a complex procedure due to various dynamic characteristics of each part, i.e. stiffness, mass and especially damping. In hybrid structures, one or more transitional stories with composite sections are used for better transition of lateral and gravity forces. The effect of transitional storey has been considered in no one of the studies in the field of hybrid structures damping. In this study, a method has been proposed to determining the equivalent modal damping ratios for hybrid steel-concrete buildings with transitional storey. In the proposed method, hybrid buildings are considered to have three structural systems, reinforced concrete, composite steel and concrete (transitional storey) and steel system. In this method, hybrid buildings are substituted appropriately with 3-DOF system.

OPTIMAL CONTROL PROBLEMS FOR THE SEMILINEAR SECOND ORDER EVOLUTION EQUATIONS

  • Park, Jong-Yeoul;Park, Sun-Hye
    • Journal of the Korean Mathematical Society
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    • v.40 no.5
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    • pp.769-788
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    • 2003
  • In this paper, we study the optimal control for the damped semilinear hyperbolic systems with unknown parameters (C(t)y')'+ $A_2$(t, q)y'+ $A_1$(t, q)y = f(t, q, y, u). We will prove the existence of weak solution of this system and is to find the optimal control pair (q, u) $\in$ $Q_{t}$ ${\times}$ $U_{ad}$ such that in $f_{u}$$\in$ $Q_{t}$/ J(q, u) = J(q, u).$_{t}$/ J(q, u) = J(q, u).

Robust Sinusoidal Tracking of High Performance Torsional Plants

  • Oloomi, Hossein M.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1581-1586
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    • 2004
  • In this paper, we study the tracking performance of a torsion disk system where the plant is required to track a triangular-type command signal with a small steady state error and delay. We investigate the tracking performance of the traditional inner/outer loop approach and underline its limitations in high performance applications. We then design a more advanced controller using the mixed sensitivity robust control approach and show that the tracking performance of the system can be improved substantially. The success of the design, even for the case of lightly damped plants such as the one considered in this paper, is largely the result of the proper weights selection used in the mixed sensitivity design. The main contribution of this paper is, therefore, the development of design guidelines for the weights selection when accurate tracking of periodic reference signals are desired.

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A Study of Stability Analysis on Nonlinear Dynamic Vibration Absorber Acting on Damped Main Vibration Systems (선형진동계에 작용하는 비선형진흡진기에 관한 안정성해소 연구)

  • 안찬우;박일수;박동환
    • Journal of Ocean Engineering and Technology
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    • v.6 no.1
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    • pp.62-68
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    • 1992
  • In this study, a system coupled with the nonlinear dynamic vibration absorber was modelled, and its equation of motion was analized by the harmonic balance method to obtain the amplitude ratio. And also, the stability analysis was done by the Routh Hurwitz method. In the vibration systems coupled with the nonlinear dynamic vibration absorber, the unstable region and the jump phenomenon can be ramarkably affected by the damping ratio. The stable and unstable region that obtained to differential method excellently agreed to the result of the stability analysis of Routh Hurwitz.

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Identification and Damping of Resonances in Inverter-based Microgrids

  • Afrasiabi, Morteza;Rokrok, Esmaeel
    • Journal of Power Electronics
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    • v.18 no.4
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    • pp.1235-1244
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    • 2018
  • The application of shunt capacitor banks and underground cables typically induces resonance in power distribution systems. In this study, the propagation of resonance in a microgrid (MG) with inverter-based distributed generators (IBDGs) is investigated. If resonances are not properly damped, then the output current of the inverters may experience distortion via resonance propagation due to the adverse effect of resonances on MG power quality. This study presents a conceptual method for identifying resonances and related issues in multi-inverter systems. For this purpose, existing resonances are identified using modal impedance analysis. However, some resonances may be undetectable when this method is used. Thus, the resonances are investigated using the proposed method based on the frequency response of a closed-loop MG equivalent circuit. After analyzing resonance propagation in the MG, an effective virtual impedance damping method is used in the IBDG control system to damp the resonances. Results demonstrate the effectiveness of the proposed method in compensating for existing resonances.

On the consideration of the masses of helical springs in damped combined systems consisting of two continua

  • Gurgoze, M.;Zeren, S.;Bicak, M.M.A.
    • Structural Engineering and Mechanics
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    • v.28 no.2
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    • pp.167-188
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    • 2008
  • This study is concerned with the establishment of the characteristic equation of a combined system consisting of a cantilever beam with a tip mass and an in-span visco-elastic helical spring-mass, considering the mass of the helical spring. After obtaining the "exact" characteristic equation of the combined system, by making use of a boundary value problem formulation, the characteristic equation is established via a transfer matrix method, as well. Further, the characteristic equation of a reduced system is obtained as a special case. Then, the characteristic equations are numerically solved for various combinations of the physical parameters. Further, comparison of the results with the massless spring case and the case in which the spring mass is partially considered, reveals the fact that neglecting or considering the mass of the spring partially can cause considerable errors for some combinations of the physical parameters of the system.