• 제목/요약/키워드: Stiffness Modulus

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Stiffness Modulus Comparison in Trackbed Foundation Soil

  • Kim, Daesung;Cho, Hojin;Park, Jaebeom;Lim, Yujin
    • International Journal of Railway
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    • 제8권2호
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    • pp.50-54
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    • 2015
  • The primary function of the trackbed in a conventional railway track system is to decrease the stresses in the subgrade to be in an acceptable level. A properly designed trackbed layer performs this task adequately. Many design procedures have used assumed and/or are based on critical stiffness values of the layers obtained mostly in the field to calculate an appropriate thickness of the sublayers of the trackbed foundation. However, those stiffness values do not consider strain levels clearly and precisely in the layers. This study proposes a method of computation of stiffness that can handle with strain level in the layers of the trackbed foundation in order to provide properly selected design values of the stiffness of the layers. The shear modulus values are dependent on shear strain level so that the strain levels generated in the subgrade in the trackbed under wheel loading and below plate of Repeated Plate Bearing Test (RPBT) are investigated by finite element analysis program ABAQUS and PLAXIS programs. The strain levels generated in the subgrade from RPBT are compared to those values from RC (Resonant Column) test after some consideration of strain levels and stress consideration. For comparison of shear modulus G obtained from RC test and stiffness moduli $E_{v2}$ obtained from RPBT in the field, many numbers of mid-size RC tests in laboratory and RPBT in field were performed extensively. It was found in this study that there is a big difference in stiffness modulus when the converted $E_{v2}$ values were compared to those values of RC test. It is verified in this study that it is necessary to use precise and increased loading steps to construct nonlinear curves from RPBT in order to get correct $E_{v2}$ values in proper strain levels.

절리암반의 역학적 특성 분석을 위한 역해석 모델 개발 (Developement of back-analysis model for determining the mechanical properties of jointed rock)

  • 조태진
    • 터널과지하공간
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    • 제6권1호
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    • pp.19-29
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    • 1996
  • Back analysis model, capable of calculating the mechanical properties and the in-situ stresses of jointed rock mass, was developed based on the inverse method using a continuum theory. Constitutive equation for the behavior of jointed rock contains two unknown parameters, elastic modulus of intact rock and stiffness of joint, hence algorithm which determines both parameters simultaneously cannot be established. To avoid algebraic difficulties elastic modulus of intact rock was assumed to be known, since the representative value of which would be quite easily determined. Then, the ratio ($\beta$) of joint stiffness to elastic modulus of intact rock was assigned and back analysis for the behavior of jointed rock was carried-out. The value $\beta$ was repeatedly modified until the elastic modulus from back analysis became very comparable to the predetermined value. The joint stiffness could be calculated by multipling the ratio $\beta$ to the final result of elastic modulus. Accuracy and reliability of back analysis procedure was successfully testified using a sample model simulating the underground opening in the jointed rock mass. Applicability of back analysis model for the underground excavation in practice was also verified by analyzing the mechanical properties of jointed rock in which underground oil storage cavern were under construction.

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지반반력계수$(K_{30})$와 변형률계수$(E_v)$에 대한 고찰 (Study on the subgrade reaction modulus$(K_{30})$ and strain modulus$(E_v)$)

  • 김대상;최찬용;김성중;유진영;양신추
    • 한국철도학회논문집
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    • 제10권3호
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    • pp.264-270
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    • 2007
  • Two modulus, strain modulus $(E_v)$ and subgrade reaction modulus $(K_{30})$ are being used as a standard for bearing stiffness in Korea Railroad design. The first is used in Europe and the other is used in Japan. The methodologies to obtain the two modulus are similar in using plate. But testing methods are different in loading to plate. Therefore, according to soil strain range, there should be large gap in not only computations of deformation modulus but also the necessary time to test. At first, this paper focuses on the two kinds of test methods to evaluate bearing stiffness. Secondly, based on elastic theory, the theory to obtain the two coefficients are studied thoroughly. Finally, the correlations between the two coefficients were analyzed and evaluated based on the field test results more than 38 places. The matching values for subgrade and ground between $K_{30}$ and $E_{v2}$ are proposed with the consideration of the proposed strain reduction factor (1.5 for subgrade and 3 for ground) and safety factor, respectively.

웨어러블 패키징용 Polydimethylsiloxane (PDMS) 신축성 기판의 강성도 변화거동 (Variation of Elastic Stiffness of Polydimethylsiloxane (PDMS) Stretchable Substrates for Wearable Packaging Applications)

  • 최정열;박대웅;오태성
    • 마이크로전자및패키징학회지
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    • 제21권4호
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    • pp.125-131
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    • 2014
  • 웨어러블 패키징용 신축성 기판을 개발하기 위해 투명한 PDMS인 Sylgard 184와 검정색 PDMS인 Sylgard 170에 대해 base/curing agent 혼합비에 따른 탄성계수의 변화거동을 분석하였다. Sylgard 184와 Sylgard 170의 공칭응력-공칭변형률 곡선에서 구한 공칭탄성계수에 비해 진응력-진변형률 관계로부터 구한 진탄성계수가 2배 이상 높았으며, 진탄성계수와 공칭탄성계수의 차이는 PDMS의 강성도가 높아질수록 증가하였다. Sylgard 184에서는 base/curing agent의 혼합비가 10일 때 탄성계수의 최대값을 얻을 수 있었으며, 이때 공칭탄성계수는 1.74 MPa, 진탄성계수는 3.57 MPa이었다. Sylgard 170에서는 base/curing agent 혼합비가 2일 때 탄성계수가 최대가 되었으며, 이때 공칭탄성계수와 진탄성계수는 각기 1.51 MPa와 3.64 MPa이었다.

신축성 전자패키징용 강성도 국부변환 polydimethylsiloxane 기판의 탄성계수 (Elastic Modulus of Locally Stiffness-variant Polydimethylsiloxane Substrates for Stretchable Electronic Packaging Applications)

  • 오현아;박동현;한기선;오태성
    • 마이크로전자및패키징학회지
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    • 제22권4호
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    • pp.91-98
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    • 2015
  • 신축성 전자패키징에 응용하기 위해 강성도가 서로 다른 polydimethylsiloxane 탄성고분자인 Sylgard 184와 Dragon Skin 10을 사용하여 섬(island) 구조가 삽입된 강성도 국부변환 신축성 기판을 형성한 후, 강성도 국부변환부의 폭에 따른 기판의 탄성계수를 분석하였다. 기판 기지로는 탄성계수가 0.09 MPa인 Dragon Skin 10을 사용하였으며, 기판 기지 내에 삽입되는 강성도 국부변환부는 탄성계수가 2.15 MPa인 Sylgard 184로 형성하였다. 신축성 기판의 형상은 길이 6.5 cm, 두께 0.4 cm, 폭 2.5 cm이었으며, 중앙부에 길이 4 cm, 두께 0.2 cm, 폭 0.5~1.5 cm인 강성도 국부변환부를 삽입하였다. 폭 0.5 cm의 Sylgard 184를 Dragon Skin 10에 삽입함에 따라 기판의 탄성계수가 0.09 MPa에서 0.16 MPa로 증가하였다. Sylgard 184의 폭을 1.0 cm 및 1.5 cm으로 증가시킴에 따라 기판의 탄성계수가 0.18 MPa와 0.2 MPa로 증가하였으며, Sylgard 184 강성도 국부변환부의 폭에 따른 기판 탄성계수의 변화는 등변형률의 Voigt 구조와 등응력의 Reuss 구조를 조합하여 예측한 값과 잘 일치하였다.

피로 손상을 입은 직교 복합재료 적층보의 진동 특성 (Vibration Characterization of Cross-ply Laminates Beam with Fatigue Damage)

  • 문태철;김형윤;황운봉;전시문;김동원;김현진
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 춘계학술발표대회 논문집
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    • pp.1-4
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    • 2001
  • A new non-destructive fatigue prediction model of the composite laminates is developed. The natural frequencies of fatigue-damaged laminates under extensional loading are related to the fatigue lift of the laminates by establishing the equivalent flexural stiffness reduction as a function of the elastic properties of sublaminates. The flexural stiffness is derived by relating the $90^{\circ}$-ply elastic modulus reduction, and using the laminate plate theory to the degraded elastic modulus and the intact elastic modulus of other laminate. The natural frequency reduction model, in which the dominant fatigue mode can be identified from the sensitivity scale factors of sublaminate elastic properties, provides natural frequency vs. fatigue cycle curves for the composite laminates. Vibration tests were also conducted on $[\textrm{90}_{2}\textrm{0}_{2}]_s$ carbon/epoxy laminates to verify the natural frequency reduction model. Correlations between the predictions of the model and experimental results are good.

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콘크리트충전 원형강관 기둥의 축강성에 관한 실험연구 (An Experimental Study on the Axial Stiffness of the Concrete Filled Circular Steel Tube Columns)

  • 김정회;송형수;박진수;민창식
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2006년도 춘계학술발표회 논문집(I)
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    • pp.422-425
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    • 2006
  • AISC-LRFD, ACI 318 and Korean design specifications for concrete filled circular steel tube columns do not consider the increasing of axial stiffness such as the elastic modulus and the yield strength due to the confinement effect. AISC-LRFD and ACI 318, however, shows different basic philosophy and equations for computing the elastic modulus and the strength of CFT columns. Through this experimental study, 9 circular CFT column specimens were made by varying thickness steel tube and concrete strength, the axial stiffness were compared. The comparison between the design specifications and the test results shows different values on the elastic modulus and yield strength of the CFT columns. Even though, yield strength of the CFT columns are very similar between AISC-LRFD and Korean design specifications.

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

  • 김광준;신윤호
    • 한국소음진동공학회논문집
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    • 제16권4호
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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.

Determination of slip modulus of cold-formed steel composite members sheathed with plywood structural panels

  • Karki, Dheeraj;Far, Harry;Al-hunity, Suleiman
    • Steel and Composite Structures
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    • 제43권4호
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    • pp.511-522
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    • 2022
  • An experimental investigation to study the behaviour of connections between cold-formed steel (CFS) joist and plywood structural panel is presented in this paper. Material testing on CFS and plywood was carried out to assess their mechanical properties and behaviour. Push-out tests were conducted to determine the slip modulus and failure modes of three different shear connection types. The employed shear connectors in the study were; size 14 (6mm diameter) self-drilling screw, M12 coach screw, and M12 nut and bolt. The effective bending stiffness of composite cold-formed steel and plywood T-beam assembly is calculated based on the slip modulus values computed from push-out tests. The effective bending stiffness was increased by 25.5%, 18% and 30.2% for self-drilling screw, coach screw, nut and bolt, respectively, over the stiffness of cold-formed steel joist alone. This finding suggests the potential to enhance the structural performance of composite cold-formed steel and timber flooring system by mobilisation of composite action present between timber sheathing and CFS joist.

횡방향 전단하중을 받는 단일방향 복합재료의 미시역학적 거동연구 (Micromechanical behavior of unidirectional composites under a transverse shear loading)

  • 최흥섭
    • 대한기계학회논문집A
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    • 제21권11호
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    • pp.1896-1911
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    • 1997
  • Effects of fiber-matrix interphases on the micro-and macro-mechanical behaviors of unidirectionally fiber-reinforced composites subjected to transverse shear loading at remote distance have been studied. The interphases between fibers and matrix have been modeled by the spring-layer which accounts for continuity of tractions, but allows radial and circumferential displacement jumps across the interphase that are linearly related to the normal and tangential tractions. Numerical calculations for basic cells of the composites have been carried out using the boundary element method. For an undamaged composite the micro-level stresses at the matrix side of the interphase and effective shear stiffness have been computed as functions of fiber volume ratio $V_f$ and interphase stiffness k. Results are presented for various interphase stiffnesses from the perfect bonding to the case of total debonding. For a square array composite the results show that for a high interphase stiffness k>10, an increase of $V_f$ increases the effective transverse shear modulus G over bar of the composite. For a relatively low interphase stiffness k<1, it is shwon that an increase of $V_f$ slightly decreases the effective transverse shear modulus. For the perfect bonding case, G over bar for a hexagonal array composite is slightly larger than that for a square array composite. Also for a damaged composite partially debonded at the interphase, local stress fields and effective shear modulus are calculated and a decrease in G over bar has been observed.