• Title/Summary/Keyword: Damped

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RESPONSES OF DAMPED HARMONIC OSCILLATORS TO EXCITATIONS OBEYING POISSON DISTRIBUTIONS

  • Lee, Hyoung-In;Mok, Jinsik
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.111-118
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    • 2013
  • External excitations are employed to investigate properties of optical media, with measurement data often analyzed via linear response theory. In this respect, external forcing is modeled here by well-known Poisson and negative-binomial distributions. Ensuing dynamics is examined with a special attention to the relative decay rates of damped harmonic oscillators to such external forcing, along with its relationship to other physical phenomena.

ASYMPTOTIC SOLUTIONS OF FOURTH ORDER CRITICALLY DAMPED NONLINEAR SYSTEM UNDER SOME SPECIAL CONDITIONS

  • Lee, Keonhee;Shanta, Shewli Shamim
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.3
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    • pp.413-426
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    • 2008
  • An asymptotic solution of a fourth order critically damped nonlinear differential system has been found by means of extended Krylov-Bogoliubov-Mitropolskii (KBM) method. The solutions obtained by this method agree with those obtained by numerical method. The method is illustrated by an example.

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The Damped Outrigger - Design and Implementation

  • Smith, Rob
    • International Journal of High-Rise Buildings
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    • v.5 no.1
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    • pp.63-70
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    • 2016
  • The use of outriggers with dampers (the damped outrigger concept) has been shown to be a cost effective method of adding structural damping to a high rise building, and has been described in previous work by the author. This paper further develops the methods used to design such systems and highlights lessons learned in their application. This includes calculation methods, a review of subsequent research from others, and discussions regarding code-compliance.

RICCATI EQUATION IN QUADRATIC OPTIMAL CONTROL PROBLEM OF DAMPED SECOND ORDER SYSTEM

  • Ha, Junhong;Nakagiri, Shin-Ichi
    • Journal of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.173-187
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    • 2013
  • This paper studies the properties of solutions of the Riccati equation arising from the quadratic optimal control problem of the general damped second order system. Using the semigroup theory, we establish the weak differential characterization of the Riccati equation for a general class of the second order distributed systems with arbitrary damping terms.

IDENTIFICATION PROBLEMS OF DAMPED SINE-GORDON EQUATIONS WITH CONSTANT PARAMETERS

  • Ha, Jun-Hong;Nagiri, Shin-ichi
    • Journal of the Korean Mathematical Society
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    • v.39 no.4
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    • pp.509-524
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    • 2002
  • We Study the Problems Of identification for the damped sine-Gordon equations with constant parameters. That is, we establish the existence and necessary conditions for the optimal constant parameters based on the fundamental optimal control theory and the transposition method studied in Lions and Magenes [5].

On the Error Bound of the Approximate Solution of a Nonclassically Damped Linear System under Periodic Excitations

  • Hwang, Jai-Hyuk
    • The Journal of the Acoustical Society of Korea
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    • v.15 no.4E
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    • pp.45-52
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    • 1996
  • One common procedure in the approximate solution of a nonclassically damped linear system is to neglect the off-diagonal elements of the normalized damping matrix. A tight error bound, which can be computed with relative ease, is given for this method of solution. The role that modal coupling plays in the control of error is clarified. If the normalized damping matrix is strongly diagonally dominant, it is shown that adequate frequency separation is not necessary to ensure small errors.

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GLOBAL ATTRACTOR OF THE WEAKLY DAMPED WAVE EQUATION WITH NONLINEAR BOUNDARY CONDITIONS

  • Zhu, Chaosheng
    • Communications of the Korean Mathematical Society
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    • v.27 no.1
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    • pp.97-106
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    • 2012
  • In this paper, the main purpose is to study existence of the global attractors for the weakly damped wave equation with nonlinear boundary conditions. To this end, we first show that the existence o a bounded absorbing set by the perturbed energy method. Secondly, we utilize the decomposition of the solution operator to verify the asymptotic compactness.

Population Forecasting System Based on Growth Curve Models (성장곡선모형에 의한 인구예측 시스템)

  • 최종후;최봉호;양우성;김유진
    • Korea journal of population studies
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    • v.23 no.1
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    • pp.197-215
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    • 2000
  • 이 논문에서는 선형·비선형 성장곡선모형의 종류와 특성을 살펴보고, 이들을 비교·검토하고, 모형선호기준 통계량에 입각하여 추정결과를 비교한다. 또한 최종사용자 환경을 위한 SAS/AF로 구현한 성장곡선모형에 의한 인구예측시스템을 소개한다.

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FINITE ELEMENT GALERKIN SOLUTIONS FOR THE STRONGLY DAMPED EXTENSIBLE BEAM EQUATIONS

  • Choo, S.M.;Chung, S.K.;Kannan, R.
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.27-43
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    • 2002
  • Finite element Galerkin solutions for the strongly damped extensible beam equations are considered. The semidiscrete scheme and a fully discrete time Galerkin method are studied and the corresponding stability and error estimates are obtained. Ratios of numerical convergence are given.

Asymmetric Absorption Profile of Damped Lyman Alpha and Beta Systems

  • Lee, Hee-Won
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.79.1-79.1
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    • 2012
  • Due to the quantum interference of many atomic levels, the exact scattering cross section around a given resonance transition deviates from the Lorentz function when the frequency of the incident radiation is quite far from the resonance frequency. This atomic effect is quite significant in the case of damped Ly alpha systems, where HI column density is in excess of 10^20 cm^-2. In this poster, we present the deviation quantitatively taking into consideration of the Rayleigh and Raman scattering around Lyman alpha and Lyman beta.

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