• 제목/요약/키워드: Viscoelastic Damping

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Longitudinal vibration of a nanorod embedded in viscoelastic medium considering nonlocal strain gradient theory

  • Balci, Mehmet N.
    • Advances in nano research
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    • 제13권2호
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    • pp.147-164
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    • 2022
  • This article investigates the longitudinal vibration of a nanorod embedded in viscoelastic medium according to the nonlocal strain gradient theory. Viscoelastic medium is considered based on Kelvin-Voigt model. Governing partial differential equation is derived based on longitudinal equilibrium and analytical solution is obtained by adopting harmonic motion solution for the nanorod. Modal frequencies and corresponding damping ratios are presented to demonstrate the influences of nonlocal parameter, material length scale, elastic and damping parameters of the viscoelastic medium. It is observed that material length scale parameter is very influential on modal frequencies especially at lower values of nonlocal parameter whereas increase in length scale parameter has less effect at higher values of nonlocal parameter when the medium is purely elastic. Elastic stiffness and damping coefficient of the medium have considerable impacts on modal frequencies and damping ratios, and the highest impact of these parameters on frequency and damping ratio is seen in the first mode. Results calculated based on strain gradient theory are quite different from those calculated based on classical elasticity theory. Hence, nonlocal strain gradient theory including length scale parameter can be used to get more accurate estimations of frequency response of nanorods embedded in viscoelastic medium.

유연보의 과도 진동 감쇠를 위한 점탄성 재료의 최적 분포 (Optimal Distribution of Viscoelastic Material for Transient Vibration Suppression of a Flexible Beam)

  • Kim, Tae-Woo;Kim, Ji-Hwan
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문초록집
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    • pp.362.1-362
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    • 2002
  • Eigenvalues are taken as performance criteria for structural damping design using viscoelastic material. Given material properties, optimal distribution of damping material is sought based on eigenvalue sensitivity. For eigenanalysis of frequency dependent viscoelastic material rented structures, Golla-Hughes-McTavish(GHM) model is used and some dominant modes are chosen for consideration. (omitted)

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다자유도 곡선 맞춤법과 RKU 기법을 이용한 점탄성 감쇠재의 탄성 및 손실계수 추정방법 연구 (Study of the Measurement of Young's Modulus and Loss Factor for a Viscoelastic Damping Material Using a Multi Degree of Freedom Curve Fitting Method and RKU Equation)

  • 민천홍;박한일;배수룡;전재진
    • 한국해양공학회지
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    • 제25권1호
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    • pp.67-72
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    • 2011
  • Offshore structures, such as a platform, a buoy, or a floating vessel, are exposed to several dynamic loads, and viscoelastic damping material is used to reduce the vibration of offshore structures. It is important to know the properties of viscoelastic materials because loss factor and Young's modulus of the viscoelastic damping material are dependent on frequency and temperature. In this study, an advanced technique for obtaining accurate loss factor and Young's modulus of the viscoelastic damping material is introduced based on a multi degree of freedom curve-fitting method and the RKU (Ross-Kerwin-Ungar) equations. The technique is based on a modified experimental procedure from ASTM E 756-04. Loss factor and Young's modulus of the viscoelastic damping material are measured for different temperatures by performing the test in a temperature-controlled vibration measurement room where temperature varies from 5 to 45 degrees Celsius.

점탄성 물질의 온도와 주파수 의존성을 고려한 구속형 제진보의 최대 손실계수 설계 (Optimal Layout Design of Frequency- and Temperature-Dependent Viscoelastic Materials for Maximum Loss Factor of Constrained-Layer Damping Beam)

  • 이두호
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 춘계학술대회논문집
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    • pp.1023-1026
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    • 2007
  • Optimal damping layout of the constrained viscoelastic damping layer on beam is identified with temperatures by using a gradient-based numerical search algorithm. An optimal design problem is defined in order to determine the constrained damping layer configuration. A finite element formulation is introduced to model the constrained damping layer beam. The four-parameter fractional derivative model and the Arrhenius shift factor are used to describe dynamic characteristics of viscoelastic material with respect to frequency and temperature. Frequency-dependent complex-valued eigenvalue problems are solved by using a simple resubstitution algorithm in order to obtain the loss factor of each mode and responses of the structure. The results of the numerical example show that the proposed method can reduce frequency responses of beam at peaks only by reconfiguring the layout of constrained damping layer within a limited weight constraint.

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방향성 있는 감쇠재료가 삽입된 복합적층판의 진동 및 감쇠특성 (Vibration and Damping Characteristic of Composite Laminates Embedding Directional Damping Materials)

  • 김성준
    • Composites Research
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    • 제16권5호
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    • pp.39-44
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    • 2003
  • 복합재료에 삽입된 점탄성 재료는 복합재구조물의 감쇠물성을 크게 증가시킨다. 일반적으로 점탄성 재료는 등방성이므로 모든 방향의 감쇠물성이 동일하다. 최근 재료의 방향에 따라 감쇠물성이 변하는 이방성 감쇠재료의 개발이 요구되고 있다. 이방성 감쇠재료는 점탄성 재료 내부에 얇은 섬유를 삽입하여 제작한다. 삽입된 섬유는 댐핑재료의 강성에 큰 영향을 주며 강성은 고전 적층판 이론을 따르게 된다. 본 논문에서는 Ni와 Adams의 이론을 이용하여 손실계수를 평가하였다. 그리고 방향성 있는 감쇠재료의 영향을 평가하기 위해 저속충격 거동해석을 수행하였다. 해석결과로부터 방향성 있는 감쇠재료는 복합적층판의 진동 및 감쇠특성에 큰 영향을 줌을 보였다

점탄성층을 삽입한 3층 적층보의 진동감쇠특성에 관한 연구 (A Study on the Characteristics of Vibration Damping of a Beam with Inserted Viscoelastic Layer)

  • 박응순;박세만;박명균;박상규
    • 소음진동
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    • 제7권3호
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    • pp.511-519
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    • 1997
  • For a number of years it has been known that flexural vibration in a beam and plate can be damped by the application of layer of damping (viscoelastic) material that is in turn constrained by a backing layer or foil. In this study, a quantitative analysis of damping of the sandwich beam has been performed by using impact test. The damping is characterized by the loss factor .etha. in which the damping is normalized by imaginary part of the complex bending stiffiness of the beam. Results show that the relative thickness of the sandwich beam gives more effect on the riatural-frequencies and loss factor than the variation of width does. It is also shown that the Ross-Kerwin-Ungar equation and impact test can be effectively used to identify the damping characteristic of the sandwich beam and viscoelastic material.

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비구속형 점탄성 제진층을 갖는 보의 제진층 길이 최적화 (Length Optimization for Unconstrained Visco-elastic Damping Layer of Beams)

  • 이두호;황우석
    • 한국소음진동공학회논문집
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    • 제13권12호
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    • pp.938-946
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    • 2003
  • Length of an unconstrained viscoelastic damping layer on beams is determined to maximizeloss factor using a numerical search method. The fractional derivative model can describe damping characteristics of viscoelastic damping materials accurately, and is used to represent nonlinearity of complex modulus with frequencies and temperatures. Equivalent flexural rigidity of the unconstrained beam is obtained using Ross, Ungar, Kelvin[RUK] equation. The loss factors of partially covered unconstrained beam are calculated by a modal strain energy method. Optimal lengths of the unconstrained viscoelastic damping layer of beams are identified with ambient temperatures and thickness ratios of beam and damping layer by using a finite-difference-based steepest descent method.

비구속형 점탄성 제진층을 갖는 보의 제진층 길이 최적화 (Length Optimization for Unconstrained Visco-elastic Damping Layer of Beams)

  • 이두호;황우석
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.665-671
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    • 2003
  • Length of an unconstrained viscoelastic damping layer on beams is determined to maximize loss factor using a numerical search method. The fractional derivative model can describe damping characteristics of the viscoelastic damping material, and is used to represent nonlinearity of complex modulus with frequencies and temperatures. Equivalent flexural rigidity of the unconstrained beam is obtained using Ross, Ungar, Kerwin(RUK) equation. The loss factors of partially covered unconstrained beam are calculated by a modal strain energy method. Optimal lengths of the unconstrained viscoelastic damping layer of beams are obtained with respect to ambient temperatures and thickness ratios of beam and damping layer.

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유연보의 과도 진동 감쇠를 위한 점탄성 재료의 최적 분포 (Optimal Distribution of Viscoelastic Material for Transient Vibration Suppression of a Flexible Beam)

  • 김태우;김지환
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.605-610
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    • 2002
  • Eigenvalues are taken as performance criteria for structural damping design using viscoelastic material. Given material properties, optimal distribution of damping material is sought based on eigenvalue sensitivity. For eigenanalysis of frequency dependent viscoelastic material treated structures, Golla-Mushes-McTavish (GHM) model is used and some dominant modes are chosen for consideration. To avoid the intensity of computation caused by increased problem size, an alternative approximate method is proposed which uses elastic modes and can be applied under small damping assumption. A cantilever beam treated with unconstrained viscoelastic layer is tested and optimal distribution of thickness of the layer is illustrated. Partial coverage configurations are compared with the one-sided full coverage case.

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점탄성 재료를 이용한 무힌지 로터 감쇠 증대 (Damping Enhancement of Hingeless Rotor System Using Viscoelastic Material)

  • 김도형;고은희;송근웅;이욱
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.637-640
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    • 2004
  • Structural damping enhancement of composite flexures and aeroelastic stability of a hingeless rotor system are investigated. Constrained layer damping (CLD) treatments are applied in order to increase structural damping of flexures. Material damping property of viscoelastic layer is modelled as complex modulus. Modal analysis of composite flexures with attached viscoelastic layers and constraining layers are performed using MSC/NASTRAN and the effects of CLD treatments are verified with the modal test results. The composite flexures with CLD are applied to a 4-bladed, 2-meter diameter, Froude-scaled, soft-in-plane hingeless rotor system. The aeroelastic stability is tested at hovering condition and the effects of CLD are investigated. It is shown that the CLD treatment effectively enhance the aeroelastic stability at hover.

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