• 제목/요약/키워드: torsional inertia

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점성댐퍼를 갖는 엔진 축계의 비선형 비틀림강제진동 (Nonlinear Forced Torsional Vibration for the Engine Shafting System With Viscous Damper)

  • 박용남;송성옥;김의간;전효중
    • Journal of Advanced Marine Engineering and Technology
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    • 제20권4호
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    • pp.50-58
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    • 1996
  • The torsional vibration of the propulsion shafting system equipped with viscous damper is investigated. The equivalent system is modeled by a two mass softening system with Duffing's oscillator and the vibratory motion is described by non-linear differential equations of second order. The damper casing is fixed at the front-end of crankshaft and the damper's inertia ring floats in viscous silicon fluid inside of the camper casing. The excitation frenquency is proportional to the rotational speed of engine. The steady state response of the equivalent system is analyzed by the computer and for this analyzing, the harmonic balance method is adopted as a non-linear vibration analysis technique. Frequency response curves are obtained for 1st order resonance only. Jump phenomena are explained. The discriminant for the solutions of the steady state response is derived. Both theoretical and measured results of the propulsion shafting system are compared with and evaluated. As a result of comparisions with both data, it was confirmed that Duffing's oscillator can be used in the modeling of the propulsion shafting system attached with viscous damper with non-linear stiffness.

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점성댐퍼를 갖는 엔진 축계의 비선형 비틀림강제진동 (Nonlinear Forced Torsional Vibration for the Engine Shafting System With Viscous Damper)

  • 박용남;송성옥;김의간;전효중
    • Journal of Advanced Marine Engineering and Technology
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    • 제20권4호
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    • pp.372-372
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    • 1996
  • The torsional vibration of the propulsion shafting system equipped with viscous damper is investigated. The equivalent system is modeled by a two mass softening system with Duffing's oscillator and the vibratory motion is described by non-linear differential equations of second order. The damper casing is fixed at the front-end of crankshaft and the damper's inertia ring floats in viscous silicon fluid inside of the camper casing. The excitation frenquency is proportional to the rotational speed of engine. The steady state response of the equivalent system is analyzed by the computer and for this analyzing, the harmonic balance method is adopted as a non-linear vibration analysis technique. Frequency response curves are obtained for 1st order resonance only. Jump phenomena are explained. The discriminant for the solutions of the steady state response is derived. Both theoretical and measured results of the propulsion shafting system are compared with and evaluated. As a result of comparisions with both data, it was confirmed that Duffing's oscillator can be used in the modeling of the propulsion shafting system attached with viscous damper with non-linear stiffness.

얇은 직사각형 외팔보의 비선형 진동현상 (Nonlinear Vibration Phenomenon for the Slender Rectangular Cantilever Beam)

  • 박철희;조종두;박창호
    • 한국소음진동공학회논문집
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    • 제14권12호
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    • pp.1314-1321
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    • 2004
  • The non-linear responses of a slender rectangular cantilever beam subjected to lateral harmonic base-excitation are investigated by the 2-channel FFT analyzer. Both linear and nonlinear behaviors of the cantilever beam are compared with each other. Bending mode, torsional mode, and transverse mode are coupled in such a way that the energy transfer between them are observed. Especially, superharmonic, subharmonic, and chaotic motions which result from the unstable inertia terms in the transverse mode are analyzed by the FFT analyzer The aim is to give the explanations of the route to chaos, i.e., harmonic motion \longrightarrow superharmonic motion \longrightarrow subharmonic motion \longrightarrow chaos.

Dual Mass Flywheel 시스템의 설계파라미터에 관한 연구

  • 송준혁
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 1996년도 추계학술대회 논문
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    • pp.167-172
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    • 1996
  • A Dual Mass Flywheel system is a evolution to the reduction of torsional vibration and impact noise occuring in powertrain when a vehicle is eit-her moving or idling. The name already explains what it is : The mass of the conventional single mass flywheel is divided. One section continues to belong to the mass moment of inertia of the engine-side. The ot-her section increass the mass moment of inertia of the transmission-side. The two masses are connected via a spring /damping system. This reduces the speed at which the dreaded resonance occurs to below idle speed. Since 1984 Dual Mass Flywheel has been de-veloped again and again. But the prosidures of de-velopment of D.M.F system didn't have had differe-nce from conventional clutch system's trial and err-or This paper presents the method for systematical design of D.M.F system with demensionless design variables of D.M.F system mass ratio between two flywheels λ. natual frequency rate of two flywheel s, ${\gamma}$and viscosity coefficient ζ. And experimental re-sults are used to prove these theoretical results.

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선체(船體)비틂진동(振動)에 있어서의 부가관성(附加慣性)모우멘트 3차원수정계수(次元修正係數) (Three Dimensional Correction Factors for the Added Mass Moment of Inertia of Ships in Torsional Vibration)

  • 김극천;이호섭
    • 대한조선학회지
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    • 제11권2호
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    • pp.15-22
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    • 1974
  • As for the added mass moment of inertia of ships in torsional vibration, it seems that the works by T. Kumai[1,2] are the only systematic one available currently. The work[1] is for the calculation of the two dimensional correction factors with finitely-long elliptic cylinders as the mathematic model. In this work the authors recalculated the above factors, $J_{\tau}$, with the same mathematic model and the same problem formulation, and presented the numerical results in Fig. 1. The reason why the reinvestigation was done was that in Kumai's work he obtained the solutions of the Mathieu equations, which was derived from the problem formulation for the velocity potential, under the assumption that the dummy constant q involved in the equations was always far less than unity, whereas in fact it takes values within the region of $0<q{\leq}{\infty}$ in sequence. As a result the authors found two remarkable differences in general features of $J_{\tau}$(refer to Fg.3); one that the authors' numerical results are considerably higher than the results given in [2], and the other that for a given number of node those have properties of decreasing monotonically with increase of the beam-draft ratio while these rapidly decrease from a maximum value of near at B/T=2.00 with B/T becoming greater or less than ratio. It seems that the latter trend was resulted from the fact that the assumption of $q{\ll}1$ employed in [2] was more closely satisfied in the vicinity of B/T=2.00.

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Pasternak지반으로 지지된 변화폭 원호형 띠기초의 휨-비틀림 자유진동 (Flexural-Torsional Free Vibrations of Circular Strip Foundation with Variable Breadth on Pasternak Soil)

  • 이병구;박광규;강희종;윤희민
    • 한국강구조학회 논문집
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    • 제19권5호
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    • pp.539-548
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    • 2007
  • 이 논문은 Pasternak지반으로 지지된 변화폭 원호형 띠기초의 휨-비틀림 자유진동에 관한 연구이다. 띠기초의 단면은 단면깊이는 일정하고, 단면폭은 1차식으로 변화하는 변화폭을 갖는 직사각형 단면으로 채택하였다. 띠기초의 지반은 Winkler지반에 전단층을 갖는 Pasternak지반으로 모형화하였다. 이러한 원호형 띠기초의 자유진동을 지배하는 상미분방정식과 경계조건을 유도하였다. 자유진동의 관성항으로는 휨관성, 회전관성 및 비틀림관성을 고려하였다. 상미분방정식을 수치해석하여 4개의 최저차 고유진동수를 산출하였다. 수치해석의 결과로 띠기초의 변수들이 고유진동수에 미치는 영향을 고찰하였다. 이 논문의 결과는 띠기초의 동적 설계에 매우 유용한 자료를 제공할 수 있을 것으로 기대된다.

고점도 실리콘오일 적용 점성댐퍼 동특성을 고려한 추진축계 최적 설계 (Optimum design of propulsion shafting system considering characteristics of a viscous damper applied with high-viscosity silicon oil)

  • 김양곤;조권회;김의간
    • Journal of Advanced Marine Engineering and Technology
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    • 제41권3호
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    • pp.202-208
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    • 2017
  • 최근 개발된 선박용 주기관은 추진효율 향상과 연료소비율 저감기술이 요구됨에 따라 과거에 비해 높은 비틀림진동 기진력 특성을 갖고 있다. 따라서 이를 제어하기 위해 기본적으로 엔진 선단에 점성 댐퍼나 점성-스프링댐퍼를 장착한다. 점성댐퍼의 경우 댐퍼 내부에 채워진 실리콘 오일이 탄성적인 연결이 없다고 가정하고 댐퍼설계를 하여 왔으나 고점도 실리콘 오일은 높은 점도에 따른 비틀림 강성이 존재할 뿐만 아니라 작동온도와 주파수에 따라 비선형적인 동특성을 갖는다. 본 논문에서는 고점도 실리콘 오일이 적용된 점성댐퍼의 동특성을 확인하고 해당 댐퍼가 장착된 축계의 비틀림진동 특성을 검토하였다. 이를 위해 점성댐퍼의 최적 동특성을 이론적으로 해석하는 방법을 검토하였고, 고점도 실리콘 오일로 채워진 점성댐퍼로 해당축계의 비틀림진동 제어를 하는 경우 댐퍼 작동온도 및 경년변화를 고려한 추진축계 최적 설계 방안에 대해서 검토하였다.

유한요소 해석을 통한 레이디얼 빔 커플링의 설계인자 분석 (Design Parametric Analysis of Radial Beam Coupling using Finite Element Analysis)

  • 이치범;박영일
    • 한국정밀공학회지
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    • 제30권5호
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    • pp.537-543
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    • 2013
  • In this paper, a novel radial beam coupling model was proposed and the design parameters were studied for the efficient transmission of torque. To develop a high performance radial beam coupling, an analytical way to predict the performance in design phase is required. One of the best ways to estimate the performance of the coupling without manufacturing is to evaluate the stress and torsional stiffness by building a finite element model with a special attention to the radial beam cutting part. For the best results of FEA, the material properties were obtained through testing. To verify the reliability of finite element model, the results of FEA were compared with the experiments. The main design parameters of radial beam cutting width, radial beam cutting depth, and radial beam cutting direction were considered for the performance of radial beam coupling.

A Study on the Coupled Torsional-Axial Vibration of Marine Propulsion Shafting System using the Energy Method

  • Jang, Min-Oh;Kim, Ue-Kan;Park, Yong-Nam;Lee, Young-Jin
    • Journal of Advanced Marine Engineering and Technology
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    • 제28권3호
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    • pp.482-492
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    • 2004
  • Recently. the market trend for marine diesel engine has involved the lower running speeds. larger stroke/bore ratio and higher combustion pressure. Consequently, because of the flexible engine shafting system due to the larger mass. inertia and the more elasticity, the complicated coupled torsional-axial vibrations have occurred in the operating speed range. Also, the vibrations act as an excitation on the hull-structural vibration. To predict the vibration behavior with more accuracy and reliability. many studies have proposed the several kinds of method to calculate the stiffness matrix of crankshaft. However, most of these methods have a weak point to spend much time on three dimensional modeling and meshing work for crankshaft. Therefore. in this work. the stiffness matrix for the crankthrow is calculated using the energy method (Influence Coefficient Method, ICM) with the each mass having 6 degree of freedom. Its effectiveness is verified through the comparison with the stiffness matrix obtained by using the finite element method (FEM) and measured results for actual ships propulsion system.

2자유도 PID 제어기의 파라미터 $\alpha$ 추종을 이용한 2관성 시스템의 진동억제 (A Study on vibration suppression of dual inertia system using controlling Parameter $\alpha$ of PID controller with 2-degree of freedom)

  • 박재현;추연규;김현덕;박연식
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2004년도 춘계종합학술대회
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    • pp.506-510
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    • 2004
  • 토크 전달시스템은 다수의 기어와 커플링이 유연하게 구성되어 있으므로 모터의 속도가 갑자기 변할 때 비틀림 진동이 발생한다. 모터의 정확한 응답 특성을 얻기 위해서는 반드시 이 진동은 억제되어야 한다. 따라서 진동억제는 모터제어에 있어서 매우 중요하다. 특히 2관성 시스템의 진동억제를 위해 다양한 제어방법들이 소개되었다. 토크의 비틀림 현상으로 인해 발생하는 진동을 억제하기 위해 토크의 비틀림 성분을 궤환시키고 일반적인 필터로 구성된 외란 관측기 필터를 사용하는 방법이 소개되었다. 또한 이를 계수도법(CDM)을 이용 적절한 P 제어기와 필터의 계수값을 설계하여 진동을 억제하는 방법이다. 그러나 계수도법을 이용하여 설계된 제어기 파라미터는 외란 인가시 적응성이 떨어짐을 알 수 있다. 반면 PID 제어기는 설계가 간단하나 초기에 과도한 오버슈트를 및 진동 문제를 유발한다. 이러한 문제점들을 해결하기 위하여 최근에는 2자유도 파라미터 a로 비례이득을 가변함으로써 외란에는 영향을 받지 않고 목표치 추종 성능을 개선할 수 있는 단순하고 실용적인 2자유도 PID 제어기가 소개되었다. 그러나 이 방법 역시 원하는 P값을 얻기 위해 u를 가변 하여야 하는 단점을 가지고 있다. 따라서 본 논문에서는 이러한 단점들을 극복하기 위해 퍼지 알고리즘을 사용 파라미터 $\alpha$를 자동 조정하는 제어기를 설계하였다. 사용된 제어기의 성능을 입증하기 위하여 기존의 제어방법과 시뮬레이션을 통해 비교, 평가한다.

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