• Title/Summary/Keyword: 복소탄성계수

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Determination of Specimen Geometry for Identification of the Complex Modulus of Viscoelastic Materials (점탄성재료의 복소탄성계수 규명을 위한 시편 크기의 결정)

  • Kang, Kee-Ho;Sim, Song;Kim, Kwang-Joon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1991.04a
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    • pp.133-138
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    • 1991
  • 일반적으로 고무를 비롯한 점탄성재료는 형상 및 크기를 적절히 조절함으로 써 한 방향 이상으로의 원하는 스프링상수를 얻을 수 있으며, 금속에 비하여 내부 마찰에 의한 에너지 발산이 매우 크기 때문에 강제 진동시의 진폭저감 및 충격에 따른 자유진동의 감쇠에 널리 이용되고 있다. 이와 같은 진동감쇠 에 점탄성재료를 효과적으로 사용하기 위해서는 복소탄성계수 즉, 탄성계수 와 손실계수를 정확하게 알아내는 것이 필요하다. 점탄성재료의 복소탄성계 수는 주파수, 온도 및 변형률등에 따라 변하므로 이와 같은 사용조건의 함수 로 구해야 한다. 복소탄성계수를 실험적으로 구하는 방법은 여러가지가 있으 며 실험의 용이성과 관심대상에 따라 적절한 방법을 선택하게 된다. 본 연구 에서는 주파수변화에 따른 복소탄성계수를 임피던스법으로 집중질량 모형을 이용하여 구하려고 할 때, 실험데이타로부터 보다 정확한 결과를 얻기 위하 여 적절한 시편의 크기를 결정하는 방법을 제시하고자 한다. 이를 위해서 시 편내의 파동전달효과와 포아송비와 관련된 양단제한효과 그리고 정하중시 압축변형에 대한 시편의 좌굴등을 고려하여 이론적으로 해석하였으며 실험 적으로도 검증하였다.

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Consideration of Static-strain-dependent Dynamic Complex Modulus in Dynamic Stiffness Calculation of Viscoelastic Mount/Bushing by Commercial Finite Element Codes (점탄성 제진 요소의 복소동강성계수 산출을 위한 상용유한요소 코드 이용시 복소탄성계수의 정하중 의존성 반영 방법)

  • Kim, Kwang-Joon;Shin, Yun-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.4 s.109
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    • pp.372-379
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    • 2006
  • Little attention has been paid to static-strain-dependence of dynamic complex modulus of viscolelastic materials in computational analysisso far. Current commercial Finite Element Method (FEM) codes do not take such characteristics into consideration in constitutive equations of viscoelastic materials. Recent experimental observations that static-strain-dependence of dynamic complex modulus of viscolelastic materials, especially filled rubbers, are significant, however, require that solutions somehow are necessary. In this study, a simple technique of using a commercial FEM code, ABAQUS, is introduced, which seems to be far more cost/time saving than development of a new software with such capabilities. A static-strain-dependent correction factor is used to reflect the influence of static-strains in Merman model, which is currently the base of the ABAQUS. The proposed technique is applied to viscoelastic components of rather complicated shape to predict the dynamic stiffness under static-strain and the predictions are compared with experimental results.

THE CHANGE OF THE INITIAL DYNAMIC VISCO-ELASTIC MODULUS OF COMPOSITE RESINS DURING LIGHT POLYMERIZATION (광중합 복합레진의 중합초기 동적 점탄성의 변화)

  • Kim, Min-Ho;Lee, In-Bog
    • Restorative Dentistry and Endodontics
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    • v.34 no.5
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    • pp.450-459
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    • 2009
  • The aim of this study was to measure the initial dynamic modulus changes of light cured composites using a custom made rheometer. The custom made rheometer consisted of 3 parts: (1) a measurement unit of parallel plates made of glass rods, (2) an oscillating shear strain generator with a DC motor and a crank mechanism, (3) a stress measurement device using an electromagnetic torque sensor. This instrument could measure a maximum torque of 2Ncm, and the switch of the light-curing unit was synchronized with the rheometer. Six commercial composite resins [Z-100 (Z1), Z-250 (Z2), Z-350 (Z3), DenFil (DF), Tetric Ceram (TC), and Clearfil AP-X (CF)] were investigated. A dynamic oscillating shear test was undertaken with the rheometer. A certain volume ($14.2\;mm^3$) of composite was loaded between the parallel plates, which were made of glass rods (3 mm in diameter). An oscillating shear strain with a frequency of 6 Hz and amplitude of 0.00579 rad was applied to the specimen and the resultant stress was measured. Data acquisition started simultaneously with light curing, and the changes in visco-elasticity of composites were recorded for 10 seconds. The measurements were repeated 5 times for each composite at $25{\pm}0.5^{\circ}C$. Complex shear modulus G*, storage shear modulus G', loss shear modulus G" were calculated from the measured strain-stress curves. Time to reach the complex modulus G* of 10 MPa was determined. The G* and time to reach the G* of 10 MPa of composites were analyzed with One-way ANOVA and Tukey's test ($\alpha$ = 0.05). The results were as follows. 1. The custom made rheometer in this study reliably measured the initial visco-elastic modulus changes of composites during 10 seconds of light curing. 2. In all composites, the development of complex shear modulus G* had a latent period for $1{\sim}2$ seconds immediately after the start of light curing, and then increased rapidly during 10 seconds. 3. In all composites, the storage shear modulus G" increased steeper than the loss shear modulus G" during 10 seconds of light curing. 4. The complex shear modulus of Z1 was the highest, followed by CF, Z2, Z3, TC and DF the lowest. 5. Z1 was the fastest and DF was the slowest in the time to reach the complex shear modulus of 10 MPa.

Experimental Determination of Complex Moduli and Internal Damping of Laminated Composites (적층 복합재료의 내부감쇠와 복소탄성계수 측정에 관한 연구)

  • Lee, Jae-Hyeok;Park, Se-Man;Kim, Hyeong-Sam
    • Korean Journal of Materials Research
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    • v.8 no.10
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    • pp.905-911
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    • 1998
  • Damping is a property for materials and systems to dissipate energy during periodic deformations. Generally, damping causes stiff decrease in amplitudes and shifts in phases. Also, even at resonance, amplitudes are substantially attenuated. This phenomenon of damping helps in reducing stresses developed during vibrations and consequently improves fatigue lives of materials. In this work internal damping and complex moduli are experimentally determined. An impulse technique is utilized in experiments and cantilever beams are selected as test subjects for the measurements of flextural vibrations since the beams lend themselves easily as simplistic ideal models. A resonance method is employed to determine resonance frequencies which are utilized to compute storage moduli. Also, loss moduli are evaluated from damping capacities and storage moduli. The storage and loss moduli combined yield complex moduli. Finally internal damping is evaluated from bandwidth technique, the real component of the transfer function.

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Damping and Shear Distribution in Adhesive Bonded Lap Joint with Viscoelastic Adhesive (점탄성접착결합의 감쇠 및 전단분포)

  • Hong, C. S.
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.4 no.3
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    • pp.105-112
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    • 1980
  • 정현적 응력을 받고 있는 정탄성 결합부의 에너지 손실을 여러 가지 인자를 고려하여 구하였다. 탄성접착결합부의 해를 구하고 탄성해의 전단계수를 복소전단계수로 대치하여 점탄성 접착결 합부의 전단변형분포를 구하였다. 주어진 접착제의 최대강쇠현상은 접착제의 강성과 피접착물의 비를 증가 시킴으로서 얻을 수 있다. 구조적 결합부에서 파괴가 일어나지 않도록 피접착부와의 강성비를 결정함에 있어 주의를 요한다.

Finite Element Vibration Analysis of Multi-layered Damped Sandwich Beam with Complex Shear Modulus (복소 전단탄성계수를 갖는 다층 감쇠보의 유한요소 진동 해석)

  • Bae, Seung-Hoon;Won, Sung-Gyu;Jeong, Weui-Bong;Cho, Jin-Rae;Bae, Soo-Ryong
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.1
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    • pp.9-17
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    • 2011
  • In this paper, the general equation of motion of damped sandwich beam with multi-viscoelastic material layer was derived based on the equation presented by Mead and Markus. The viscoelastic layer, which has characteristics of complex shear modulus, was assumed to be dominantly under shear deformation. The equation of motion of n-layered damped sandwich beam in bending could be represented by (n+3)th order ordinary differential equation. Finite element model for the n-layered damped sandwich beam was formulated and programmed using higher order shape functions. Several numerical examples were implemented to show the effects of damped material.

Determination of Thermal Dtress Intensity Factors for the Interface Crack under Vertical Uniform Heat Flow (수직 균일 열유동하에 있는 접합 경계면 균열의 열응력세기계수 결정)

  • 이강용;설창원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.201-208
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    • 1991
  • In case that an interface crack exists in an infinite two-dimensional elastic bimaterial, the crack surface is insulated under traction free and the uniform heat flow vertical to the crack from infinite boundary is given. Temperature and stress potentials are obtained by using complex variable approach to solve Hilbert problems. The results are used to obtain thermal stress intensity factors. Only mode I thermal stress intensity factor occurs in case of the homogeneous material. Otherwise, mode I and II thermal stress intensity factor is much smaller than one of mode II.

Testing for Identification of Dynamic Properties of Viscoelastic Material Subject to Large Static Deformation (정적 대변형을 받고 있는 점탄성 재료의 동적 물성치 규명 시험)

  • 이완술;이호정;조지현;김진성;윤성기;김광준
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.2
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    • pp.132-143
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    • 2003
  • Viscoelastic components for vibration isolation or shock absorption in automobiles, machines and buildings are often subject to a high level of static deformation. From the dynamic design point of view, it is requisite to predict dynamic complex stiffness of viscoelastic components accurately and efficiently. To this end, a systematic procedure for complex modulus measurement of the viscoelastic material under large static deformation is often required in the industrial fields. In this paper, dynamic test conditions and procedures for the viscoelastic material under small oscillatory load superimposed on large static deformation are discussed. Various standard test methods are investigated in order to select an adequate test methodology. The influence of fixed boundary condition in the compression tests upon complex stiffness are investigated and an effective correction technique is proposed. Then the uniaxial tension and compression tests are performed and its results are compared with analysis results from conventional constitutive models.

Evaluation of Effects on Impact Resonance Test for Determining Modulus of Asphalt Concrete (아스팔트 콘크리트 탄성계수 결정을 위한 충격공진시험 영향요소 평가)

  • Kweon, Gi-Chul;Lee, Jae-Hoan
    • International Journal of Highway Engineering
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    • v.9 no.2 s.32
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    • pp.89-99
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    • 2007
  • The stiffness of the asphalt concrete is represented by the complex modulus $E^*$, which is very important properties in the mechanistic design of flexible pavement system. The moduli of asphalt concrete were generally determined by dynamic modulus test. However, the dynamic modulus testing method is too complex, expensive, and time consuming to be applicable on a production basis. The IR(Impact Resonance) method has been shown to be a truly simple nondestructive testing method which produces very repetitive, consistent results. The major object of this study was to estimate of the effects on IR tests for determining modulus of asphalt concrete including impact position, specimen support condition, impact steel ball size and sampling rate. The variations of IR test results with various testing conditions are within ${\pm}2.7%$.

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The Branching Effects of Pectic Polysaccharides on Viscoelastic Properties (펙틴 다당류의 측쇄가 점탄성에 미치는 영향)

  • Jozef L. Kokini
    • The Korean Journal of Rheology
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    • v.7 no.2
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    • pp.120-127
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    • 1995
  • 중량비가 측쇄의 함량이 각각 4.37%(시료I)와 8.97%(시료II)인 두종류의 사과 펙틴을 이용하여 측쇄가 펙틴용액의 점탄성에 미치는 역할에 대하여 연구하였다. 시료II가 시료 I보 다 동일한 농도에서 더높은 전단속도에서는 오히려 시료 I의 전단점도가 시료 II보다 높은 값을 보였다. 시료I과 시료 II의 η0는 농도에 대하여 각각 η0 C4.23의 관계를보여 시료II가 더높은 농도의존성을 보였다. 한편 용액의 탄성특성을 나타내는 저장탄성계수(G')와 zero-shear recoverable compliance(Jeo)의 경우에는 시료II가 시료I보다 높은 값을 보였는데 이는 측쇄가 탄성과 밀접한 관계가 있다는 것을 의미한다. 펙틴용액의 전단점도와 복소점도 를 비교했을 때 거의 비슷한 값을 보였으나 예외적으로 고측쇄의 시료 II의 경우 고농도에 서 서로 상이한 값을 보였다. 본연구의 결과는 진한 용액하에서 측쇄가 분자간의 상호엉킴 에 상당한 기여를 하고 있음을 나타내었다.

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