• 제목/요약/키워드: nonlinear dynamic modulus

검색결과 71건 처리시간 0.039초

Nonlinear dynamic properties of dynamic shear modulus ratio and damping ratio of clay in the starting area of Xiong'an New Area

  • Song Dongsong;Liu Hongshuai
    • Earthquakes and Structures
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    • 제26권2호
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    • pp.97-115
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    • 2024
  • In this paper, a database consisting of the dynamic shear modulus ratio and damping ratio test data of clay obtained from 406 groups of triaxial tests is constructed with the starting area of Xiong'an New Area as the research background. The aim is to study the nonlinear dynamic properties of clay in this area under cyclic loading. The study found that the effective confining pressure and plasticity index have certain influences on the dynamic shear modulus ratio and damping ratio of clay in this area. Through data analysis, it was found that there was a certain correlation between effective confining pressure and plasticity index and dynamic shear modulus ratio and damping ratio, with fitting degree values greater than 0.1263 for both. However, other physical indices such as the void ratio, natural density, water content and specific gravity have only a small effect on the dynamic shear modulus ratio and the damping ratio, with fitting degree values of less than 0.1 for all of them. This indicates that it is important to consider the influence of effective confining pressure and plasticity index when studying the nonlinear dynamic properties of clays in this area. Based on the above, prediction models for the dynamic shear modulus ratio and damping ratio in this area were constructed separately. The results showed that the model that considered the combined effect of effective confining pressure and plasticity index performed best. The predicted dynamic shear modulus ratio and damping ratio closely matched the actual curves, with approximately 88% of the data falling within ±1.3 times the measured dynamic shear modulus ratio and approximately 85.1% of the data falling within ±1.3 times the measured damping ratio. In contrast, the prediction models that considered only a single influence deviated from the actual values, particularly the model that considered only the plasticity index, which predicted the dynamic shear modulus ratio and the damping ratio within a small distribution range close to the average of the test values. When compared with existing prediction models, it was found that the predicted dynamic shear modulus ratio in this paper was slightly higher, which was due to the overall hardness of the clay in this area, leading to a slightly higher determination of the dynamic shear modulus ratio by the prediction model. Finally, for the dynamic shear modulus ratio and damping ratio of the engineering site in the starting area of Xiong'an New Area, we confirm that the prediction formulas established in this paper have high reliability and provide the applicable range of the prediction model.

암버력-토사 성토의 회복탄성계수 산정방법 (A Methodology to Determine Resilient Modulus for Crushed Rock-Soil Mixture)

  • 박인범;김성수;정영훈;목영진
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2010년도 추계 학술발표회
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    • pp.1190-1200
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    • 2010
  • A method was developed to determine resilient modulus for crushed rock-soil mixtures whose usage has been increased recently without engineering specifications. The method is based on the subtle different modulus called nonlinear dynamic modulus and was lately implemented in residual soils and engineered crushed-stones. Hereby. the same method was expanded to crushed rock-soil mixtures containing as large grain diameter as 300mm. The method utilize field direct-arival tests for the determination of maximum Young's modulus, and a large scale free-free resonant column test, which is recently developed to is capable to test as large grain diameter as 25mm, for modulus reduction curves. The prediction model of resilient modulus was evaluated for crushed rock-soil mixtures of a highway construction site at Gimcheon, Korea.

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진동전단유동장에서 점탄성 반고형 연고기제(바셀린)의 레올로지 거동 (Rheological Behavior of Viscoelastic Semi-Solid Ointment Base (Vaseline) in Oscillatory Shear Flow Fields)

  • 송기원;장갑식
    • Journal of Pharmaceutical Investigation
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    • 제36권1호
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    • pp.31-38
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    • 2006
  • Using a Rheometries Dynamic Analyzer (RDA II), the dynamic viscoelastic properties of a semi-solid ointment base (vaseline) in large amplitude oscillatory shear flow fields were measured over a temperature range of $25{\sim}45^{\circ}C$ and the linear viscoelastic behavior in small amplitude oscillatory shear flow fields was investigated over a wide range of angular frequencies. In this article, the nonlinear viscoelastic behavior was reported from the experimentally obtained data and the effect of temperature on this behavior was discussed in detail. In addition, the angular frequency and temperature dependencies of a linear viscoelastic behavior were explained. Finally, the applicability of a time-temperature superposition principle originally developed for polymeric materials was examined using a shift factor. Main results obtained from this study can be summarized as follows : (1) At very small strain amplitude region, vaseline shows a linear viscoelastic behavior independent of the imposed deformation magnitudes. Above a critical strain amplitude $({\gamma}_{0}=0.1{\sim}0.2%)$, however, vaseline exhibits a nonlinear viscoelastic behavior ; indicating that both the storage modulus and dynamic viscosity are sharply decreased with increasing deformation magnitude. (2) In large amplitude oscillatory shear flow fields, an elastic behavior (storage modulus) has a stronger strain amplitude dependence and begins to show a nonlinear behavior at a smaller strain amplitude region than does a viscous behavior (dynamic viscosity). (3) In small amplitude oscillatory shear flow fields, the storage modulus as well as the loss modulus are continuously increased as an increase in angular frequency and an elastic nature is always superior to a viscous behavior over a wide range of angular frequencies. (4) A time-temperature superposition principle can successfully be applicable to vaseline. This finding allows us to estimate the dynamic viscoelastic behavior of vaseline over an extraordinarily extended range (11 decades) of angular frequencies inaccessible from the experimentally measured range (4 decades).

다양한 실내시험을 이용한 지반의 탄성계수 평가 (Evaluation of Modulus of Soils Using Various Laboratory Tests)

  • 권기철;김동수
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2000년도 가을 학술발표회 논문집
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    • pp.345-352
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    • 2000
  • It is very important to evaluate the reliable nonlinear modulus characteristics of soils not only in the analysis of geotechnical structures under working stress conditions but also for the soil dynamic problems. For the evaluation of modulus characteristics of soils, various tests have been mostly employed in laboratory. However, different testing techniques are likely to have different ranges of reliable strain measurements, different applied stress level, and different loading frequencies, and the modulus of soils can be affected by these variables. For reliable evaluation, therefore, those effects on the modulus need to be considered, and measured values should be effectively adjusted to actual conditions where the soil is working. In this paper, to evaluate the modulus characteristics of soils, laboratory testing such as free-free resonant column (FF-RC), resonant column (RC), torsional shear (TS), static TX, and cyclic M/sub R/ tests were performed. The effects of strain amplitude, loading frequency, loading cycles, confining pressure, density, and water content on modulus were investigated. It is shown that the FF-RC test, which is simple and inexpensive testing technique, can provide a reliable estimation of small strain Young's modulus (E/sub max/), and the modulus evaluated by various laboratory tests are comparable to each other fairly well when the effects of these factors are properly taken into account.

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자유단 공진시험을 이용한 암석의 탄성계수 측정 (Measurements o Elastic Moduli of Rock Cores Using Free-Free Resonacne Tests)

  • 목영진
    • 한국지진공학회논문집
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    • 제3권4호
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    • pp.95-100
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    • 1999
  • 암석 코아의탄성계수 측정에 동적방법은 잘 사용되지 않을뿐만아니라 그 값은 설계에 많이 사용되지 않는다 그이유는 동적으로 결정한 탄성계수 값이 정적으로 결정된 값보다 매우 큰 것 (약 10배)으로 인식되기 때문이다. 이논문에서는 암석 코아의 동적과 정적 시험결과를 제시하였다 도출괸 결과는 :1) 실내탄성파시험으로 매우 일관성 있는 탄성계수가 결정되고 2) 변형율에 따른 암석 코아의 비선형 변형특성의 잠정적 모델이 제시되었다.

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철도노반의 탄성변위 예측 및 측정을 통한 회복탄성계수 모델 평가 (An Assessment of a Resilient Modulus Model by Comparing Predicted and Measured Elastic Deformation of Railway Trackbeds)

  • 박철수;김은정;오상훈;김학성;목영진
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 추계 학술발표회
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    • pp.1404-1414
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    • 2008
  • In the mechanistic-empirical trackbed design of railways, the resilient modulus is the key input parameter. This study focused on the resilient modulus prediction model, which is the functions of mean effective principal stress and axial strain, for three types of railroad trackbed materials such as crushed stone, weathered soil, and crushed-rock soil mixture. The model is composed with the maximum Young's modulus and nonlinear values for higher strain in parallel with dynamic shear modulus. The maximum values is modeled by model parameters, $A_E$ and the power of mean effective principal stress, $n_E$. The nonlinear portion is represented by modified hyperbolic model, with the model parameters of reference strain, ${\varepsilon}_r$ and curvature coefficient, a. To assess the performance of the prediction models proposed herein, the elastic response of a test trackbed near PyeongTaek, Korea was evaluated using a 3-D nonlinear elastic computer program (GEOTRACK) and compared with measured elastic vertical displacement during the passages of freight and passenger trains. The material types of sub-ballasts are crushed stone and weathered granite soil, respectively. The calculated vertical displacements within the sub-ballasts are within the order of 0.6mm, and agree well with measured values with the reasonable margin. The prediction models are thus concluded to work properly in the preliminary investigation.

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줄눈 콘크리트포장 3차원 유한요소모델의 민간도 분석 (Sensitivity Analysis of 3-Dimensional FE Models for Jointed Concrete Pavements)

  • 유태석;심종성
    • 대한토목학회논문집
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    • 제26권3D호
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    • pp.435-444
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    • 2006
  • 본 논문은 AREA법을 사용하는 줄눈 콘크리트포장의 평가에 3차원 유한요소모델을 사용하는 경우 나타나는 특성을 조사하는데 목적이 있다. 이를 위해 실제 콘크리트포장을 거동을 반영할 수 있는 3차원 유한요소모델을 구축하였고 2차원 모델과 비교한 후 민감도 분석을 수행하였다. ILLISLAB을 사용한 2차원 모델과 비교하였고 하중형태의 영향 보다 하중재하 지점의 자체수축과 기층모델에 따른 영향을 더 많이 받는 것으로 나타났다. 3차원 모델에서 비선형 온도구배를 선형 온도구배로 변화시키는 경우 발생하는 영향을 조사하였고 큰 차이를 보이지는 않았으나 지반 탄성계수가 작아질수록 더 많은 차이를 보였다. 동적하중에 의한 처짐을 구하였고 정적하중에 의한 처짐과 비교한 결과 낮은 지반 탄성계수에서는 동적하중에 의한 처짐이 작게 나타났으나 높은 지반 탄성계수에서는 동적하중에 의한 처짐이 크게 나타났다. 동적하중에 의한 처짐 이력을 구하고 AREA법을 이용하여 동적지지력과 탄성계수를 역산하였으며 이를 정적 처짐에 의한 결과와 비교하였다. 그 결과 동적지지력의 경우 정적 해석에 의한 값보다 동적해석에 의한 값이 낮게 나타났고 탄성계수의 경우 반대의 경향을 나타내어 현장에서 AREA법을 사용하는 경우 나타나는 평가결과의 특성을 설명하는 것으로 판단되었다.

탄성계수 감소곡선에 근거한 철도노반의 회복탄성계수 모델 개발 및 평가 (Development and Assessment for Resilient Modulus Prediction Model of Railway Trackbeds Based on Modulus Reduction Curve)

  • 박철수;황선근;최찬용;목영진
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2008년도 추계학술대회 논문집
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    • pp.805-814
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    • 2008
  • This study focused on the resilient modulus prediction model, which is the functions of mean effective principal stress and axial strain, for three types of railroad trackbed materials such as crushed stone, weathered soil, and crushed-rock soil mixture. The model is composed with the maximum Young's modulus and nonlinear values for higher strain in parallel with dynamic shear modulus. The maximum values is modeled by model parameters, $A_E$ and the power of mean effective principal stress, $n_E$. The nonlinear portion is represented by modified hyperbolic model, with the model parameters of reference strain, ${\varepsilon}_r$ and curvature coefficient, a. To assess the performance of the prediction models proposed herein, the elastic response of a test trackbed near PyeongTaek, Korea was evaluated using a 3-D nonlinear elastic computer program (GEOTRACK) and compared with measured elastic vertical displacement during the passages of freight and passenger trains. The material types of sub-ballasts are crushed stone and weathered granite soil, respectively. The calculated vertical displacements within the sub-ballasts are within the order of 0.6mm, and agree well with measured values with the reasonable margin. The prediction models are thus concluded to work properly in the preliminary investigation.

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Nonlinear finite element vibration analysis of functionally graded nanocomposite spherical shells reinforced with graphene platelets

  • Xiaojun Wu
    • Advances in nano research
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    • 제15권2호
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    • pp.141-153
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    • 2023
  • The main objective of this paper is to develop the finite element study on the nonlinear free vibration of functionally graded nanocomposite spherical shells reinforced with graphene platelets under the first-order shear deformation shell theory and von Kármán nonlinear kinematic relations. The governing equations are presented by introducing the full asymmetric nonlinear strain-displacement relations followed by the constitutive relations and energy functional. The extended Halpin-Tsai model is utilized to specify the overall Young's modulus of the nanocomposite. Then, the finite element formulation is derived and the quadrilateral 8-node shell element is implemented for finite element discretization. The nonlinear sets of dynamic equations are solved by the use of the harmonic balance technique and iterative method to find the nonlinear frequency response. Several numerical examples are represented to highlight the impact of involved factors on the large-amplitude vibration responses of nanocomposite spherical shells. One of the main findings is that for some geometrical and material parameters, the fundamental vibrational mode shape is asymmetric and the axisymmetric formulation cannot be appropriately employed to model the nonlinear dynamic behavior of nanocomposite spherical shells.

압축하중을 받는 방진고무의 동특성 해석 및 실험 (Analysis and Experiment of the Dynamic Characteristics of Rubber Materials for Anti-Vibration under Compression)

  • 김국원;임종락;한용희;손희기;안태길
    • 소음진동
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    • 제8권5호
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    • pp.900-907
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    • 1998
  • Rubber materials are extensively used in various machine design application, mainly for vibration/shock/noise control devices. Over the years an enormous effort has been put into developing procedures to provide properties of rubber material for design function. However, there are still a lot of difficulties in the understanding of dynamic characteristics of the rubber components in compression. In this paper, the dynamic characteristics of rubber materials for anti-vibration under compression were investigated. Dynamic and static tests for rubber material with 3 different hardness were performed. In dynamic tests, non-resonance method, impedance method, was used to obtain the complex modulus(storage modulus and loss factor) and the effects of static pre-strain on the dynamic characteristics were investigated. Also, a relation equation between linear dynamic and nonlinear static behavior of rubber material was discussed and its usefulness to predict their combined effects was investigated.

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