• 제목/요약/키워드: Equivalent damping

검색결과 389건 처리시간 0.062초

ON SOLVABILITY OF THE DISSIPATIVE KIRCHHOFF EQUATION WITH NONLINEAR BOUNDARY DAMPING

  • Zhang, Zai-Yun;Huang, Jian-Hua
    • 대한수학회보
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    • 제51권1호
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    • pp.189-206
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    • 2014
  • In this paper, we prove the global existence and uniqueness of the dissipative Kirchhoff equation $$u_{tt}-M({\parallel}{\nabla}u{\parallel}^2){\triangle}u+{\alpha}u_t+f(u)=0\;in\;{\Omega}{\times}[0,{\infty}),\\u(x,t)=0\;on\;{\Gamma}_1{\times}[0,{\infty}),\\{\frac{{\partial}u}{\partial{\nu}}}+g(u_t)=0\;on\;{\Gamma}_0{\times}[0,{\infty}),\\u(x,0)=u_0,u_t(x,0)=u_1\;in\;{\Omega}$$ with nonlinear boundary damping by Galerkin approximation benefited from the ideas of Zhang et al. [33]. Furthermore,we overcome some difficulties due to the presence of nonlinear terms $M({\parallel}{\nabla}u{\parallel}^2)$ and $g(u_t)$ by introducing a new variables and we can transform the boundary value problem into an equivalent one with zero initial data by argument of compacity and monotonicity.

Static Synchronous Series Compensator(SSSC) 댐핑 제어 및 해석모형 (Damping Control Strategy and Analysis Model of Static Synchronous Series Compensator(SSSC))

  • 김학만;전영환;오태규
    • 대한전기학회논문지:전력기술부문A
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    • 제49권10호
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    • pp.509-515
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    • 2000
  • This paper addresses a damping control strategy of Static Synchronous Series Compensator(SSSC) and analysis model for stability study. The effect of injected voltage source generated by SSSC is modelled as equivalent load. This model is thought to be reasonable for the stability study because the dynamics of SSSC is very fast compared with that of power system. Damping controller of SSSC is based on Transient Energy Function method. The proposed control strategy is insensitive to the operating conditions like power flow level because control law depends on the phase angles. The proposed analysis model and control strategy was confirmed by WSCC 9 bus system and two area system. Especially, the robustness of proposed control strategy is demonstrated with respect to multiple operating conditions in two area system.

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시뮬레이션에 의한 오토바이 헬멧의 충격 응답 분석 (A Simulation for the Impact Response Analysis of a Motor Cycle Helmet)

  • 최명진
    • 한국시뮬레이션학회논문지
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    • 제8권4호
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    • pp.25-31
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    • 1999
  • To analyze the impulsive response of a motorcycle helmet, a simulation is performed using the finite element method. Based upon the simulation result, an equivalent one degree of freedom vibrational system is adapted, and transient impulsive responses are analysed to investigate the influence of engineering parameters such as damping, natural frequency, and impact velocity on the impulsive response of the helmet. Maximum gravitational acceleration reduces as the damping factor value increases. When the damping factor value is around 0.6 or larger, the maximum acceleration does not change. With respect to the natural frequency and the impact velocity, it increases linearly. The relationship between head injury criterion(HIC) and maximum gravitational acceleration is also presented. The scheme of this study is expected to be utilized to economize the design process of high quality motorcycle helmets.

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ER 현수장치를 갖는 궤도차량의 $H_{\infty}$ 제어 ($H_{\infty}$ Control of a Tracked Vehicle with ER Suspension Units)

  • 한상수;최승복
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.251-256
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    • 2000
  • This paper presents dynamic modeling and controller design of a tracked vehicle installed with the double-rod type ERSU(electro-rheological suspension unit). A 16 DOF(degree-of-freedom) model for the tracked vehicle is established by Lagrangian method. After showing the spring and damping characteristics of the proposed ERSU, equivalent 2 DOF 1/12 tracked vehicle model is then formulated by regarding the spring and viscous damping coefficients under the static state as constant values. A robust LSDP(loop-shaping design procedure) $H_{\infty}$ controller compensating spring and damping parameter variations is then designed in order to suppress unwanted vibration of the vehicle. The control responses such as vertical and pitch acceleration are presented in time domain.

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Study for the Safety of Ships' Nonlinear Rolling Motion in Beam Seas

  • Long, Zhan-Jun;Lee, Seung-Keon;Jeong, Jae-Hun;Lee, Sung-Jong
    • 한국항해항만학회지
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    • 제33권9호
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    • pp.629-634
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    • 2009
  • Vessels stability problems need to resolve the nonlinear mathematical models of rolling motion. For nonlinear systems subjected to random excitations, there are very few special cases can obtain the exact solutions. In this paper, the specific differential equations of rolling motion for intact ship considering the restoring and damping moment have researched firstly. Then the partial stochastic linearization method is applied to study the response statistics of nonlinear ship rolling motion in beam seas. The ship rolling nonlinear stochastic differential equation is then solved approximately by keeping the equivalent damping coefficient as a parameter and nonlinear response of the ship is determined in the frequency domain by a linear analysis method finally.

Numerical Analysis of Damping Effect of Liquid Film on Material in High Speed Liquid Droplet Impingement

  • Sasaki, Hirotoshi;Ochiai, Naoya;Iga, Yuka
    • International Journal of Fluid Machinery and Systems
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    • 제9권1호
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    • pp.57-65
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    • 2016
  • By high speed Liquid Droplet Impingement (LDI) on material, fluid systems are seriously damaged, therefore, it is important for the solution of the erosion problem of fluid systems to consider the effect of material in LDI. In this study, by using an in-house fluid/material two-way coupled method which considers reflection and transmission of pressure, stress and velocity on the fluid/material interface, high-speed LDI on wet/dry material surface is simulated. As a result, in the case of LDI on wet surface, maximum equivalent stress are less than those of dry surface due to damping effect of liquid film. Empirical formula of the damping effect function is formulated with the fluid factors of LDI, which are impingement velocity, droplet diameter and thickness of liquid film on material surface.

Study for the Nonlinear Rolling Motion of Ships in Beam Seas

  • Long, Zhan-Jun;Lee, Seung-Keon;Jeong, Jae-Hun;Lee, Sung-Jong
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2009년도 추계학술대회
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    • pp.239-240
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    • 2009
  • Vessels stability problems need to resolve the nonlinear mathematical models of rolling motion. For nonlinear systems subjected to random excitations, there are very few special cases can obtain the exact solutions. In this paper, the specific differential equations of rolling motion for intact ship considering the restoring and damping moment have researched firstly. Then the partial stochastic linearization method is applied to study the response statistics of nonlinear ship rolling motion in beam seas. The ship rolling nonlinear stochastic differential equation is then solved approximately by keeping the equivalent damping coefficient as a parameter and nonlinear response of the ship is determined in the frequency domain by a linear analysis method finally.

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FEM/EMTP를 이용한 GIS내 부분방전 펄스의 감쇠특성 해석 (Analysis of Partial Discharge Signal Propagation Characteristics in GIS Using FEM/EMTP)

  • 이도훈;이현동;신양섭;이용희
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 추계학술대회 논문집 전기물성,응용부문
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    • pp.255-257
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    • 2004
  • This paper was studied electromagnetic field distribution and damping of PD(Partial Discharge) signal in GIS(Gas Insulated Switchgear). Cut-off frequency of electromagnetic wave propagation modes were computed, electromagnetic field distribution of propagation modes in GIS by FEM(Finite Element Method) were simulated and simulated damping characteristic of electromagnetic waves in GIS by EMTP(Electromagnetic Transient Program) when generated PD pulse. Frequency band of $TE_{mn}/TM_{mn}$ modes were determinated by simulation results of electromagnetic field distribution and were discussed optimal position of UHF sensor from this results. Equivalent circuit was used to simulate signal damping of PD pulse in GIS by EMTP and compared with measured results in laboratory of KERI.

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비탄성 지진응답 제어를 위한 ATC-55에 기반한 마찰감쇠기 설계절차 (ATC-55 Based Friction Damper Design Procedure for Controlling Inelastic Seismic Responses)

  • 김형섭;민경원;이상현;박지훈
    • 한국지진공학회논문집
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    • 제9권1호통권41호
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    • pp.9-16
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    • 2005
  • 본 논문의 목적은 탄성과 비탄성 구조물의 지진응답제어를 위한 마찰감쇠기의 설계절차를 제시하는 것이다. ATC-40과 ATC-55를 이용하여 비탄성 구조물의 등가선형감쇠비와 등가선형주기를 구하였고, 이에 기초하여 목표 성능을 만족하기 위한 마찰감쇠기의 최대마찰력을 결정하는 식을 제시하였다. 이 식은 항복 전후 강성비와 요구되는 탄성강도에 대한 항복강도비, 그리고 구조물의 주기에 따라 비선형 수치해석과 오차가 발생한다. 수식에 의해 산출한 최대마찰력과 비선형 수치 해석에 의해 산출된 값과의 오차를 줄이기 위하여, 최소 제곱법을 사용하여 오차 보정식을 제시하였다. 수치해석결과는 제안된 보정식을 사용하면 탄성 및 비탄성 지진응답제어를 위한 마찰감쇠기의 설계를 합리적으로 수행할 수 있음을 보여준다

오차행렬에 의한 비선형 요소 위치 파악에 관한 연구 (Nonlinear elements position detecting by error matrix method)

  • 변언섭;이상설;박윤식
    • 대한기계학회논문집
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    • 제14권5호
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    • pp.1104-1111
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    • 1990
  • 본 연구에서는 다자유도계에 국부적으로 존재하는 비선형요소의 위치를 파악 하는 방법에 관하여 연구하였다. 이를 위해 먼저 기존의 등가선형화법으로 구한 등 가행렬에 비선형요소의 위치정보가 포함되어 있음을 밝혔다. 또한 등가행렬에 포함 된 위치정보를 효과적으로 이용하기 위하여 오차행렬법과 오차벡터법을 제시하였다. 제시된 두 방법이 계에 존재하는 국부 비선형요소의 위치파악에 적합한 방법임을 시뮬 레이션을 통하여 검증하였다. 특히 오차벡터법은 비선형요소의 연결상태 및 비선형 성 정도를 파악할 수 있는 방법으로 비선형계의 모델수립에 유용한 도구임을 보였다. 그리고 특수한 경우에는 등가선형화법으로 구한 등가 감쇠 및 등가 강성계수를 응답에 대하여 그래프로 표시하면 그 비선형 형태를 대략적으로 파악할 수 있음을 밝히고 시 뮬레이션으로 검증하였다.