• 제목/요약/키워드: Shear strain amplitude

검색결과 73건 처리시간 0.026초

배추 조건에 따른 사질토 지반의 동적 변형특성 (Dynamic Deformation Characteristics of Sands Under Various Drainage Conditions)

  • 추연욱;김동수
    • 한국지반공학회논문집
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    • 제21권3호
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    • pp.27-42
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    • 2005
  • 본 논문에서는 포화 및 배수 조건에 따른 사질토 지반의 변형특성을 개선된 Stokoe식 비틂전단시험기를 이용하여 비교$\cdot$관찰하였다. 기존의 Stokoe식 비틀 전단 시험기를 개선하여 시료의 완전 포화상태를 만들고, 포화 배수 및 비배수 조건에서 비틂 전단 시험이 가능하도록 하였고, 또한, 비배수 시험에서 간극수압을 동시에 측정할 수 있도록 하였다. 국내에서 채취된 금강모래와 일본의 토요라 모래를 사용하여, 건조, 포화 배수 및 포화 비배수 조건, 3가지 간극비, 4가지 구속응력 조건을 달리하여 비틂전단시험을 수행하였다. 시험결과를 바탕으로, 전단탄성계수와 재료 감쇠비를 각 조건에 대하여 반복하중 및 변형률 크기의 영향을 비교$\cdot$분석하고, 배수 조건에 따라 다르게 나타나는 사질토 지반의 저변형률 (c) 및 중간 변형률 (${10}^{-3}\%<\gamma_c<{10}^{-1}\%$)에서의 변형특성을 관찰하였다.

反復荷重을 받는 흙의 構成關係式 開發 (Development of Constitutive Equation for Soils Under Cyclic Loading Conditions)

  • 장병욱;송창섭
    • 한국농공학회지
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    • 제34권1호
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    • pp.41-48
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    • 1992
  • Various soil behaviors usually occurring in the geotechnical problems, such as, cutting and embankments, stability of slope, seepage, consolidations, shearing failures and liquefaction, should be predicted and analyzed in any way. An approach of these predictions may be followed by the development of the constitutive equations as first and subsequently solved by numerical methods. The purpose of this paper is develop the constitutive equation of sands uder monotonic or cyclic loadings. The constitutive equation which is based on elasto-plastic theory, modified anisotropic consolidated stress parameter by Sekiguchi et al and Pender's theory is derived. And the equation is included a new stress parameter, hardening function, Bauschinger's effects and Pender's theory. The model is later evaluated and confirmed the validity by the test data of Ottawa sand, Banwol sand Hongseong sand. The following conclustions may be drawn: 1. The consititutive equation which is based on elasto-plastic theory, modified anisotropic consolidated stress parpameter by Sekiguchi et al and Pender's theory is derived. The equation in included a new stress parameter, hardening function, Bauschinger's effect and Pender's theory. 2. For Ottawa sand, the result of the constitutive equation shows a better agreement than that of Oka et al. The result of axial strain agrees well with the tested data. However, the result of horizontal strain is little bit off for the cyclic loadings or large stress. It is thought that the deviation may be improved by considering Poisson's ratio and precise measurement of shear modulus. 3. Banwol sand is used for the strain and stress tests with different relative densitites and confining pressures. The predeicted result shows a good agreement with the tested data because the required material parameters were directly measurd and determined form this laboratory. 4. For Hongseong sand, the tests under same amplitude of cyclic deviatoric stress shows a similar result with the tested data in absolute strain. It shows the acute shape of turning point because the sine wave of input is used in the test but the serrated wave in prediction.

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Nonlinear forced vibration of FG-CNTs-reinforced curved microbeam based on strain gradient theory considering out-of-plane motion

  • Allahkarami, Farshid;Nikkhah-bahrami, Mansour;Saryazdi, Maryam Ghassabzadeh
    • Steel and Composite Structures
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    • 제26권6호
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    • pp.673-691
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    • 2018
  • The main goal of this research is to examine the in-plane and out-of-plane forced vibration of a curved nanocomposite microbeam. The in-plane and out-of-plane displacements of the structure are considered based on the first order shear deformation theory (FSDT). The curved microbeam is reinforced by functionally graded carbon nanotubes (FG-CNTs) and thus the extended rule of mixture is employed to estimate the effective material properties of the structure. Also, the small scale effect is captured using the strain gradient theory. The structure is rested on a nonlinear orthotropic viscoelastic foundation and is subjected to concentrated transverse harmonic external force, thermal and magnetic loads. The derivation of the governing equations is performed using energy method and Hamilton's principle. Differential quadrature (DQ) method along with integral quadrature (IQ) and Newmark methods are employed to solve the problem. The effect of various parameters such as volume fraction and distribution type of CNTs, boundary conditions, elastic foundation, temperature changes, material length scale parameters, magnetic field, central angle and width to thickness ratio are studied on the frequency and force responses of the structure. The results indicate that the highest frequency and lowest vibration amplitude belongs to FGX distribution type while the inverse condition is observed for FGO distribution type. In addition, the hardening-type response of the structure with FGX distribution type is more intense with respect to the other distribution types.

Stochastic dynamic instability response of piezoelectric functionally graded beams supported by elastic foundation

  • Shegokara, Niranjan L.;Lal, Achchhe
    • Advances in aircraft and spacecraft science
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    • 제3권4호
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    • pp.471-502
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    • 2016
  • This paper presents the dynamic instability analysis of un-damped elastically supported piezoelectric functionally graded (FG) beams subjected to in-plane static and dynamic periodic thermomechanical loadings with uncertain system properties. The elastic foundation model is assumed as one parameter Pasternak foundation with Winkler cubic nonlinearity. The piezoelectric FG beam is subjected to non-uniform temperature distribution with temperature dependent material properties. The Young's modulus and Poison's ratio of ceramic, metal and piezoelectric, density of respective ceramic and metal, volume fraction exponent and foundation parameters are taken as uncertain system properties. The basic nonlinear formulation of the beam is based on higher order shear deformation theory (HSDT) with von-Karman strain kinematics. The governing deterministic static and dynamic random instability equation and regions is solved by Bolotin's approach with Newmark's time integration method combined with first order perturbation technique (FOPT). Typical numerical results in terms of the mean and standard deviation of dynamic instability analysis are presented to examine the effect of slenderness ratios, volume fraction exponents, foundation parameters, amplitude ratios, temperature increments and position of piezoelectric layers by changing the random system properties. The correctness of the present stochastic model is examined by comparing the results with direct Monte Caro simulation (MCS).

우리나라 포화사질지반의 액상화 포텐셜 평가 (구함관계 개발을 중심으로) (Evaluation of Liquefaction Potentional on Saturated Sand Layers in Korea (on the Development of Constitutive Relationships))

  • 도덕현;장병욱
    • 한국지반공학회지:지반
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    • 제6권3호
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    • pp.41-52
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    • 1990
  • To investigate the liquefaction potential of sands, a series of untrained cyclic triaxial compression tests is carried out on the samples of Ottawa, Joomoonjin, Hn river and Hongseung sands. The constitutive equations of sands are derived to explain the mechanical behavior of sands under cyclic stresses, and are applicable to liquefaction analysis. The following results are obtainded in this study. 1. Sands with the lower confining pressure or relative density are to be easily liquefied, and when the amplitude of cyclic stress are large, liquefaction takes places over only a few cycles. 2. Stress ratio, porewater pressure ratio and cyclic shear strains are to be good criteria to evaluate liquefaction potential of sands. 3. Hongseung sands which contains some silty clay shows higher dynamic properties than other sands. 4. The dynamic behaviors of undisturbed Hongseung sand are about same as those of dense sands. It is noted that undisturbed Hongseung sand shows higher liquefaction potential than the samples made by pluviation under same relative density, 5. The constitutive equations of soils under cyclic loads are developed based on the theory of elasto-plasticity, logarithmic stress-strain rela'tionship, non-associated flow rule and the concept of the boundary surface. The derived equations is applicable to predict the behavior of sands under cyclic loads and liquefaction potential with a higher accuracy. 6. Based on results of the study it may be concluded that cracks of the foundations and dislocation of the structures at Hongseung earthquakes(Oct. 7, 1978, Richter scald 5.2) are not brought by the liquefaction process.

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Modelling of the interfacial damping due to nanotube agglomerations in nanocomposites

  • Jarali, Chetan S.;Madhusudan, M.;Vidyashankar, S.;Lu, Y. Charles
    • Smart Structures and Systems
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    • 제19권1호
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    • pp.57-66
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    • 2017
  • Nanocomposites reinforced with carbon nanotube fibers exhibit greater stiffness, strength and damping properties in comparison to conventional composites reinforced with carbon/glass fibers. Consequently, most of the nanocomposite research is focused in understanding the dynamic characteristics, which are highly useful in applications such as vibration control and energy harvesting. It has been observed that those nanocomposites show better stiffness when the geometry of nanotubes is straight as compared to curvilinear although nanotube agglomeration may exist. In this work the damping behavior of the nanocomposite is characterized in terms of loss factor under the presence of nanotube agglomerations. A micro stick-slip damping model is used to compute the damping properties of the nanocomposites with multiwall carbon nanotubes. The present formulation considers the slippage between the interface of the matrix and the nanotubes as well as the slippage between the interlayers in the nanotubes. The nanotube agglomerations model is also presented. Results are computed based on the loss factor expressed in terms of strain amplitude and nanotube agglomerations. The results show that although-among the various factors such as the material properties (moduli of nanotubes and polymer matrix) and the geometric properties (number of nanotubes, volume fraction of nanotubes, and critical interfacial shear stresses), the agglomeration of nanotubes significantly influences the damping properties of the nanocomposites. Therefore the full potential of nanocomposites to be used for damping applications needs to be analyzed under the influence of nanotube agglomerations.

유한요소법을 이용한 레이저 유도 초음파와 표면 균열과의 상호작용 모델링 (Finite Element Simulation of Laser-Generated Ultrasound and Interaction with Surface Breaking Cracks)

  • 정현조;박문철
    • 비파괴검사학회지
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    • 제24권3호
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    • pp.259-267
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    • 2004
  • 탄성매질에서 레이저 여기에 의한 열탄성 영역에서의 초음파 발생 현상과 표면 균열과의 상호작용을 유한요소법으로 모델링하였다. 반무한 탄성체 표면에 집속된 레이저 선원을 전단 쌍극자(shear dipole)로 모델링하고, 2차원 평면 변형율 유한요소법을 사용하였다. 발생된 표면파의 변위와 종파 및 횡파의 지향성을 관찰함으로써 전단 쌍극자-유한요소 모델의 타당성을 조사하였다. 표면파와 균열(기계가공된 2차원 홈)과의 상호작용을 관찰하기 위하여 2가지 경우를 고려하였다 먼저 레이저 소스와 수신 위치가 균열에 대하여 모두 고정되어 있는 경우, 다음으로 수신자가 고정되어 있고 소스가 시험체 표면 위를 이동하는 주사형의 경우이다. 첫 번째 경우에 균열 깊이 $0.3-5.0mm ({\lambda}_R/d=0.21{\sim}3.45)$에 대하여 균열 상단과 하단에서 각각 반사된 파의 변위로부터 균열깊이를 측정할 수 있음을 보였고, 두 번째 경우에 레이저 소스가 결함 위를 주사할 때 발생하는 반사파의 큰 진폭 변화를 통하여 파장보다 한 차원 낮은 깊이의 균열을 탐지할 수 있음을 보였다.

비국소 탄성 이론을 이용한 나노-스케일 판의 강제진동응답 (Dynamic response of nano-scale plates based on nonlocal elasticity theory)

  • 김진규;한성천;박원태
    • 한국산학기술학회논문지
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    • 제14권1호
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    • pp.436-444
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    • 2013
  • 미세 규모 효과를 고려한 비국소 연속체 이론을 이용한 고차전단변형 나노-스케일 판의 동적응답에 대하여 연구하였다. Eringen의 비국소 연속체 이론은 미소 규모 효과를 고려할 수 있고 고차전단변형이론은 나노 판의 두께방향으로의 전단변형률과 전단응력의 곡선변화 효과를 고려할 수 있다. 비국소 탄성 이론과 고차전단변형이론이 나노-스케일 판의 동적응답에 미치는 비국소 이론의 효과를 제시하였다. 국소 탄성이론과의 관계를 수치해석 결과를 통하여 고찰하였다. 또한 비국소 계수 변화, 형상비, 폭-두께비, 나노-스케일 판의 크기 그리고 하중재하 시간간격 등이 나노-스케일 판의 동적응답 미치는 효과에 대하여 관찰하고 분석하였다. 비국소 변수의 증가는 나노-스케일 판의 주기와 진폭을 증가시켰다. 본 연구의 결과를 검증하기 위해 참고문헌의 결과들과 비교 분석하였다. 본 연구에서 제시한 이론적 발전과 수치결과들은 나노-스케일 구조물의 동적해석에 적용하는 비국소 이론들을 위한 참고자료로 활용될 수 있을 것이다.

Seismic response analysis of buried oil and gas pipelines-soil coupled system under longitudinal multi-point excitation

  • Jianbo Dai;Zewen Zhao;Jing Ma;Zhaocheng Wang;Xiangxiang Ma
    • Earthquakes and Structures
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    • 제26권3호
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    • pp.239-249
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    • 2024
  • A new layered shear continuum model box was developed to address the dynamic response issues of buried oil and gas pipelines under multi-point excitation. Vibration table tests were conducted to investigate the seismic response of buried pipelines and the surrounding soil under longitudinal multi-point excitation. A nonlinear model of the pipeline-soil interaction was established using ABAQUS finite element software for simulation and analysis. The seismic response characteristics of the pipeline and soil under longitudinal multi-point excitation were clarified through vibration table tests and simulation. The results showed good consistency between the simulation and tests. The acceleration of the soil and pipeline exhibited amplification effects at loading levels of 0.1 g and 0.2 g, which significantly reduced at loading levels of 0.4 g and 0.62 g. The peak acceleration increased with increasing loading levels, and the peak frequency was in the low-frequency range of 0 Hz to 10 Hz. The amplitude in the frequency range of 10 Hz to 50 Hz showed a significant decreasing trend. The displacement peak curve of the soil increased with the loading level, and the nonlinearity of the soil resulted in a slower growth rate of displacement. The strain curve of the pipeline exhibited a parabolic shape, with the strain in the middle of the pipeline about 3 to 3.5 times larger than that on both sides. This study provides an effective theoretical basis and test basis for improving the seismic resistance of buried oil and gas pipelines.

직립식 방파제 성능기반 내진 설계 Platform 개발을 위한 기초연구 - 전단파 횟수 누적에 따른 지반 강도 감소를 중심으로 (Preliminary Study on the Development of a Performance Based Design Platform of Vertical Breakwater against Seismic Activity - Centering on the Weakened Shear Modulus of Soil as Shear Waves Go On)

  • 최진규;조용준
    • 한국해안·해양공학회논문집
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    • 제30권6호
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    • pp.306-318
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    • 2018
  • 지난 이십여 년 간 우리나라 연안에 집중적으로 거치된 직립식 방파제의 내진 성능을 검토하기 위한 예비 수치모의를 포항, 경주, Hachinohe1, Hachinohe2, Ofunato, 인공지진파를 대상으로 수행하였다. 예비 수치모의 결과 지진으로 인한 전단파가 지반을 통해 전파되는 과정에서 지진에너지가 장주기 대역으로 이동한 Hachinohe2의 경우 항 외곽시설의 활동량이 상당하다는 것을 확인하였다. 지진으로 인한 전단파는 항만시설이 거치된 지표방향으로 증폭되며, 지진에너지의 상당부분은 장주기 대역으로 이동된다. 이 중 장주기 대역으로 이동되는 현상은 지반의 점성 혹은 내부 마찰에 기인하며, 전단파 증폭은 구속 응력의 감소로 인해 지표면 방향으로 감소하는 전단계수와 내습하는 전단파 횟수 누적에 따른 지반 강도 감소에 기인하는 것으로 판단된다(Das, 1993). 이러한 인식에서 본고에서는 먼저 전단파 횟수 누적에 따른 전단계수의 감소의 기술이 가능한 Hardin과 Drnevich(1972) 모형과 파동방정식에 기초하여 수치모형을 구성하고, 이어 전단파 횟수 누적에 따른 전단계수의 감소가 전단파 전파과정에 미치는 영향을 정량적으로 평가하기 위한 수치모의를 수행하였다. 이 과정에서 비선형 응력-변형률 관계를 설명하기 위해 $Newmark-{\beta}$ 방법과 수정 Newton-Raphson 방법을 차용하였다(Chopra, 1995). 모의결과 전단파가 지표면으로 전파되면서 상당한 확률 질량이 상대적으로 큰 진폭과 장주기 쪽으로 이동하는 것을 확연하게 확인할 수 있었다.