• Title/Summary/Keyword: oscillatory

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ESTIMATION OF DYNAMIC CONDITIONS OF ROLLING STOCK. STRUCTURAL METHODS AND INTERPRETATIONS.

  • Olegovich, Moskovskikh Alexander;Yur'evich, Upyp' Roman;Alekseevich, Zasjadko Anatolij
    • Proceedings of the KSR Conference
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    • 2007.11a
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    • pp.1920-1939
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    • 2007
  • Features of procedures of dynamic synthesis are considered at use of various interpretations or models of processes in mechanical oscillatory systems. Methodological bases for research of the wave processes develop, allowing receiving some features of distribution of indignations. Authors offer scientifically-methodical bases for the decisions received analytical by.

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Nonlinear vibration of oscillatory systems using semi-analytical approach

  • Bayat, Mahmoud;Bayat, Mahdi;Pakar, Iman
    • Structural Engineering and Mechanics
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    • v.65 no.4
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    • pp.409-413
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    • 2018
  • In this paper, He's Variational Approach (VA) is used to solve high nonlinear vibration equations. The proposed approach leads us to high accurate solution compared with other numerical methods. It has been established that this method works very well for whole range of initial amplitudes. The method is sufficient for both linear and nonlinear engineering problems. The accuracy of this method is shown graphically and the results tabulated and results compared with numerical solutions.

OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR DIFFERENCE EQUATIONS WITH 'SUMMATION SMALL' COEFFICIENT

  • KANG, GUOLIAN
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.2
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    • pp.245-256
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    • 2005
  • We consider the second-order nonlinear difference equation (1) $$\Delta(a_nh(x_{n+1}){\Delta}x_n)+p_{n+1}f(x_{n+1})=0,\;n{\geq}n_0$$ where ${a_n},\;{p_n}$ are sequences of integers with $a_n\;>\;0,\;\{P_n\}$ is a real sequence without any restriction on its sign. hand fare real-valued functions. We obtain some necessary conditions for (1) existing nonoscillatory solutions and sufficient conditions for (1) being oscillatory.

COMPOSITE-EXPONENTIAL-FITTING INTERPOLATION RULES

  • Kim, Kyung-Joong
    • Communications of the Korean Mathematical Society
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    • v.23 no.2
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    • pp.295-305
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    • 2008
  • This paper demonstrates how composite-exponential-fitting interpolation rules can be constructed to fit an oscillatory function using not only pointwise values of that function but also of that functions's derivative on a closed and bounded interval of interest. This is done in the framework of exponential-fitting techniques. These rules extend the classical composite cubic Hermite interpolating polynomials in the sense that they become the classical composite polynomials as a parameter tends to zero. Some examples are provided to compare the newly constructed rules with the classical composite cubic Hermite interpolating polynomials (or recently developed interpolation rules).

BOUNDED OSCILLATION OF SECOND ORDER UNSTABLE NEUTRAL TYPE DIFFERENCE EQUATIONS

  • Thandapani, E.;Arul, R.;Raja, P.S.
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.79-90
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    • 2004
  • In this paper the authors present sufficient conditions for all bounded solutions of the second order neutral difference equation ${\Delta}^2(y_n\;-\;py_{n-{\kappa}})\;-\;q_nf(y_{n-e})\;=\;0,\;n\;{\in}\;N$ to be oscillatory. Examples are provided to illustrate the results.

Design and Characteristic Analysis of Vaccum Pump Using Moving Magnet type Linear Oscillatory Actuator (가동 영구자석형 리니어 진동 액츄에이터를 이용한 진공 펌프의 설계 및 특성해석)

  • Cho, Sung-Ho;Kim, Duk-Hyun;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
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    • 2002.04a
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    • pp.61-63
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    • 2002
  • This paper deals with the design of vaccum pump using moving magnet type linear oscillaory actuator based on the design procedure and the characteristic analysis. To improve the starting characteristic, the optimum spring constant is detected and redesigned. The parameter was calculated by Finite Element Method(FEM). In order to dynamic characteristic analysis. Time difference method with voltage and kinetic equation is used.

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Study on the Stress Singularity of Interface Crack by using Boundary Element Method (경계요소법을 이용한 계면균열의 응력특이성에 관한 고찰)

  • 조종두;곽시형
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.837-842
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    • 1994
  • The boundary element method was used for studying singularities of an interface crack with contact zones. Because the contact zone size was extremely small in a tention field, a large number of Gaussian points were is used for numerical integration of the Kernels. In order to estimate the contact zone size, iteration method was used. The interface crack tips with contact zones showed no oscillatory behavior and J-integral values across the interface were conserved.

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