• 제목/요약/키워드: elastic media

검색결과 142건 처리시간 0.023초

Mohr-Coulomb 암반에 굴착된 원형 터널의 변형률연화 거동해석 (Strain-Softening Behavior of Circular Tunnel Excavated in Mohr-Coulomb Rock Mass)

  • 이연규
    • 터널과지하공간
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    • 제16권6호
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    • pp.495-505
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    • 2006
  • 정수압 상태의 등방 무한 매질에 원형 터널이 굴착될 때 터널 주변부에서 발생되는 응력 및 변위 분포를 해석하는 것은 암반공학의 가장 기본적인 문제들 중의 하나이다. 암반을 탄성, 완전소성, 취성-소성 거동체로 가정한 경우 응력 및 변위 분포에 대한 정해가 알려져 있다. 그러나 변형률연화를 가정한 경우는 정해가 존재하지 않으며 여러 가지 가정에 기초한 수치해석적 근사해들이 보고되고 있을 뿐이다. 이 연구에서는 Mohr-Coulomb 암반을 대상으로 이러한 원형 터널의 변형률연화 거동을 간단하게 해석할 수 있는 수치해석 방법을 소개하였다. 이 방법은 변형률연화 거동 뿐만아니라 취성-소성 및 완전소성 거동의 해석에도 적용이 가능하다 정해가 알려진 취성-소성 거동의 검증을 통하여 제안된 모델의 정확성을 입증하였다. 변형률연화 거동해석 예로서 연화지수에 대한 매개변수 해석을 실시하였고 지반반응곡선을 작성하였다. 탄소성 해석시 터널 주변의 변위 분포 특성은 소성영역의 체적팽창성에 크게 영향을 받음을 알 수 있었다.

Elastic solutions due to a time-harmonic point load in isotropic multi-layered media

  • Lin, Gao;Zhang, Pengchong;Liu, Jun;Wang, Wenyuan
    • Structural Engineering and Mechanics
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    • 제57권2호
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    • pp.327-355
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    • 2016
  • A new analytical derivation of the elastodynamic point load solutions for an isotropic multi-layered half-space is presented by means of the precise integration method (PIM) and the approach of dual vector. The time-harmonic external load is prescribed either on the external boundary or in the interior of the solid medium. Starting with the axisymmetric governing motion equations in a cylindrical coordinate system, a second order ordinary differential matrix equation can be gained by making use of the Hankel integral transform. Employing the technique of dual vector, the second order ordinary differential matrix equation can be simplified into a first-order one. The approach of PIM is implemented to obtain the solutions of the ordinary differential matrix equation in the Hankel integral transform domain. The PIM is a highly accurate algorithm to solve sets of first-order ordinary differential equations and any desired accuracy of the dynamic point load solutions can be achieved. The numerical simulation is based on algebraic matrix operation. As a result, the computational effort is reduced to a great extent and the computation is unconditionally stable. Selected numerical trials are given to validate the accuracy and applicability of the proposed approach. More examples are discussed to portray the dependence of the load-displacement response on the isotropic parameters of the multi-layered media, the depth of external load and the frequency of excitation.

소금의 고결화 현상에서 모세관 효과 (Effects of Capillary Force on Salt Cementation Phenomenon)

  • 쭝꽝훙;변용훈;엄용훈;이종섭
    • 한국지반공학회논문집
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    • 제26권4호
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    • pp.37-45
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    • 2010
  • 기후변화로 인해 물의 증발량이 많은 지역의 지반에서는 자연적인 소금의 고결화 현상이 발생한다. 이러한 소금의 고결화 분포는 모래지반에서 모세관력에 영향을 받는다. 이 연구의 목적은 콘 관입시험, 전기전도율 측정, 사진 이미지 촬영, 비파괴 이미지 분석 그리고 탄성파에 의한 프로세스 모니터링을 이용하여 소금의 고결화 현상에 대한 모세관력의 효과를 관찰하는 것이다. 실험은 입상재료를 모형화한 글라스비즈를 소금물에 포화시킨 후, 오븐에 넣어 시료를 건조시킴으로써 고결화를 발생시켰다. 실험결과, 고결된 소금의 농도는 시료입경이 작은 경우 최상부에서 높았고, 시료입경이 큰 경우 중간 또는 하부에서 높았다. 고결된 시료에서 높은 소금농도의 위치는 해석적 방법으로 산정된 모세관 높이와 유사하였다. 본 연구에서 수행한 5가지 실험은 모세관력이 소금이 고결된 흙과 같은 입상재료의 거동에 중요한 영향을 끼치는 것을 보여준다.

Elastic Wave Propagation in Monoclinic System Due to Harmonic Line Load

  • Kim, Yong-Yun
    • The Journal of the Acoustical Society of Korea
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    • 제17권2E호
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    • pp.47-52
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    • 1998
  • An analysis of dynamic responses is carried out on monoclinic anisotropic system due to a buried harmonic line source. The load is in the form of a normal stress acting along an arbitrary axis on the plane of symmetry within the orthotropic materials: In case that the line load is acting along the symmetry axis normal to the plane of symmetry, plane wave equation is coupled with verital shear wave and longitudinal wave. However, if the line load is acting along an arbitrary axis normal to the plane of symmetry, plane wave equation is coupled with vertical shear wave, longitudinal wave and horizontal shear wave. We first considered the equation of motion in a reference coordinate system, where the line load is coincident with a symmetry axis of the orthotropic material. Then the equation of motion is transformed into one with respect to general coordinate system with azimuthal angle by using transformation tensor. Plane wave solutions of monoclinic systems are derived for infinite media. Finally complete solutions for the plane harmonic wave are obtained by calculating the inverse of the integral transforms, in which bulk wave poles are avoided by deforming the contour of the integration to the complex plane. Numerical results for examples of orthotropic material belonging to monoclinic symmetry are demonstrated.

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박막 재료 시험기 개발 및 응용 (Development and Applications of Material Testers for the Thin Films)

  • 안현균;이학주;오충석
    • 한국정밀공학회지
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    • 제23권3호
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    • pp.163-170
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    • 2006
  • Thin films play an important role in many technological applications including microelectronic devices, magnetic storage media, MEMS and surface coatings. It is well known that a thin film's material properties can be very different front the corresponding bulk properties and thus there has been a strong need for the development of a miniature tester to measure the mechanical properties of a thin film. Two testers are designed and set up in small size of 62 mm width, 20 mm depth and 90-120 mm height to fit in a chamber of scanning electron microscope (SEM). One tester has a homemade 0.2 N load cell and a low-priced electromagnetic actuator. The other has a commercial 5 N load cell, a $52{\mu}m$ piezoelectric actuator and some novel grips. Two types of 3.5 microns thick polysilicon specimen are tested to prove the testers' applicability. The strain is measured by the two ways. Firstly, it is measured by an ISDG system in the atmosphere far the reference. Secondly, the same test is repeated in a SEM chamber to monitor the strain as an in-situ experiment. The strain is evaluated by observing the gap change between two markers.

The Effects of Aging and Atherosclerosis on Elastin of Human Aortas; Quantitative Analysis of Elastin-Content and SEM Analysis of Elastolysis

  • Song, Seh-Hoon;Roach, Margot R.
    • The Korean Journal of Physiology and Pharmacology
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    • 제2권5호
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    • pp.591-600
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    • 1998
  • We have examined 24 human aortas aged $46{\sim}90$ years obtained from autopsies. Most exhibited gross lesions of some degree on the lumenal surface. Using hot alkaline treatment (0.1 N NaOH) at $70{\sim}75^{\circ}C$ for 5 hours, we extracted and quantitated elastin portions from the aortic wall in 3 different segments (UTA=upper thoracic aorta, LTA=lower thoracic aorta, AA=abdominal aorta). We have found UTA had $70.6%{\pm}1.39$ (SE), LTA $61.6%{\pm}1.94$ (SE), AA $49.2%{\pm}1.84$ (SE) elastin respectively based on wet weight. The differences between segments are statistically significant (p<0.05, 0.025). However, there is no significant correlation between the age of the patients and the relative amounts of elastin in each segment. We have also observed the structure of elastin in the internal elastic lamina (IEL) and tunica media (TM) with SEM (scanning electron microscopy), and discovered that the IEL shows various forms of elastolysis- broken sheets, discontinuity, various sizes of lumps, vesicles, and possible newly formed elastin in the aortic lesions (Song and Roach submitted to YMJ). From these studies we conclude that elastin in the aortic wall remains well balanced quantitatively with age in spite of evidence suggesting vigorous degeneration and regeneration in the atherosclerotic lesions.

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지반-구조물의 상호작용 해석을 위한 무한요소 (Infinite Elements for Soil-Structure Interaction Analysis)

  • 양신추;윤정방;이인모
    • 전산구조공학
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    • 제2권3호
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    • pp.85-95
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    • 1989
  • 본 논문에서는 Rayleigh파, 전단파 및 압축파의 영향을 동시에 해석할 수 있는 주파수 종속 무한요소와 이를 이용한 지반-구조물의 동적상호작용의 해석법에 대하여 연구하였다. 방사적으로 전파되는 응력파의 성분에 대한 무한요소와 아울러 매립(Embedded)기초나 적층(Layered)지반을 해석하기 위하여 수평으로 전파되는 파를 해석할 수 있는 무한요소를 개발하였고, 요소행렬 구성하기 위한 적분시 하나의 파성분만 존재하는 경우에 대하여 효율적으로 적용되었던 Newton Cotes 적분과 유사한 방법을 Multi-Waves 문제에 알맞게 확장 적용하였다. 이 방법의 타당성은 반무한, 균질 지만의 위에 놓여있는 원형강판과 지반에 묻혀 있는 원통형 강체기초의 Compliance 함수를 구하여 기존의 문헌에 발표된 값과 비교함으로써 검증하였다. 예제해석은 지진하중을 받는 원자력발전소 격납구조를 대상으로 하여 수행하였으며, 매립깊이의 크기, 지반의 재료감쇠 및 지반의 모형기법에 따른 구조물-지반의 상호작용의 해석결과를 비교 분석하였다.

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표면파기법을 이용한 자연지반 및 포장구조의 동적물성 추정에 관한 연구 - 이론적 분산곡선 - (Evaluation of Dynamic Properties of Natural Soils and Pavement Systems Using Surface Wave Technique - Theoretical Dispersion Curves -)

  • 김수일;우제윤
    • 대한토목학회논문집
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    • 제7권2호
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    • pp.121-130
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    • 1987
  • 본 연구에서는 다층탄성체에서 주파수에 제약없이 Rayleigh 파의 이론적 분산곡선을 결정할 수 있는 새로운 해석적 방법을 개발하였다. 이는 표면파기법에 있어 자연지반 및 포장구조의 성층구조와 동적물성을 정확히 추정하는 역산기법의 근간이 되는 것이다. 본 연구에서는 델타 매트릭스 기법을 활용하여 원래의 Thomson-Haskell 방법이 내포하고 있는 수치한계초과 및 유효수치소실로 인한 수치연산적 장애를 극복하였다. 원래의 Thomson-Haskell 방법을 토대로 한 종래의 역산기법들은 성층구조 및 주파수 크기의 제약으로 인하여 부정확한 결과를 초래하게 된다. 본 연구에서 개발한 방법은 자연지반은 물론, 특히 포장구조에 있어 보다 정확하고 효율적인 역산기법에 대한 연구에 토대가 될 것으로 판단된다.

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슬림형 광 디스크 드라이브의 방진설계 (An Anti-vibration Design of Slim-type Optical Disk Drive)

  • 김남웅;김국원;홍구;정문채;김외열
    • 소음진동
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    • 제9권2호
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    • pp.324-330
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    • 1999
  • With the increase of track density, high rotational speed and the compatibility for various media such as CD-ROM, CD-R/RW, DVD-ROM/RAM/RW etc. in optical disk drive, the effective anti-vibration design is so crucial for robust operaton. Especailly when the drive is self-excited by unbalanced disk, internal sled base vibration and its external transmission to the case bring about so severe problem. Generally these two consideration points the practical anti-vibration design process to control thses two conflictive properties using finite element analysis. As an example of the design process, Duro 25 and 40 visco-elastic rubber mount was selected and analyzed. The stiffness obtained from FEM rubber model was well matched with the experiments. Also it was confirmed that the internal and external vibration induced from unbalanced disk have good agreement with experimental results. The proposed design process is adopted to the slim-type optical disk drive.

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Vibration analysis of double-bonded micro sandwich cylindrical shells under multi-physical loadings

  • Yazdani, Raziye;Mohammadimehr, Mehdi;Zenkour, Ashraf M.
    • Steel and Composite Structures
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    • 제33권1호
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    • pp.93-109
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    • 2019
  • In the present study, vibration analysis of double bonded micro sandwich cylindrical shells with saturated porous core and carbon/boron nitride nanotubes (CNT/BNNT) reinforced composite face sheets under multi-physical loadings based on Cooper-Naghdi theory is investigated. The material properties of the micro structure are assumed to be temperature dependent, and each of the micro-tubes is placed on the Pasternak elastic foundations, and mechanical, moisture, thermal, electrical, and magnetic forces are effective on the structural behavior. The distributions of porous materials in three distributions such as non-linear non-symmetric, nonlinear-symmetric, and uniform are considered. The relationship including electro-magneto-hydro-thermo-mechanical loadings based on modified couple stress theory is obtained and moreover the governing equations of motion using the energy method and the Hamilton's principle are derived. Also, Navier's type solution is also used to solve the governing equations of motion. The effects of various parameters such as material length scale parameter, temperature change, various distributions of nanotube, volume fraction of nanotubes, porosity and Skempton coefficients, and geometric parameters on the natural frequency of double bonded micro sandwich cylindrical shells are investigated. Increasing the porosity and the Skempton coefficients of the core in micro sandwich cylindrical shell lead to increase the natural frequency of the structure. Cylindrical shells and porous materials in the industry of filters and separators, heat exchangers and coolers are widely used and are generally accepted today.