• 제목/요약/키워드: critical displacement

검색결과 502건 처리시간 0.024초

A Closed-Form Solution for Circular Openings in an Elastic-Brittle-Plastic Extended Spatial Mobilized Plane Medium

  • Wu, Chuangzhou;Guo, Wei;Jang, Bo-An
    • 지질공학
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    • 제32권1호
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    • pp.1-12
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    • 2022
  • Based on the extended spatial mobilization plane (SMP) criterion, we present an elastic-brittle-plastic solution for an axisymmetric cylindrical tunnel. The influences of the intermediate principal compressive stress and material strain-softening behavior are considered. Closed-form formulas for the critical support force, radius of plastic zone, and distributions of stress and displacement in surrounding rock are proposed. The elastic-plastic solution based on SMP is compared with the Kastner solution to verify the credibility of the obtained elastic-plastic solution. The elastic-brittle-plastic solution following the SMP criterion and the current solution based on the Mohr-Coulomb criterion are also compared. The rock strain-softening rate and the intermediate principal stress affect the stability of the surrounding rock. The results provide guidance for optimizing the design of support systems for tunnels.

Numerical Simulation on the Onset of Radial Fingering in a Hele-Shaw Cell or a Porous Medium

  • Min Chan Kim
    • Korean Chemical Engineering Research
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    • 제62권1호
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    • pp.112-117
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    • 2024
  • Numerical simulations on the onset and the growth of viscous fingering during the miscible displacement due to the radial source flow were conducted. With introduction of a new stability criterion, the critical log-viscosity ratio, Rc, was found as a function of the Peclet number, Pe. Similar to the previous linear stability analyses, Pe made the system unstable, i.e., accelerated the onset of instability. For a large Pe system, the present numerical simulation yielded much stable results than the previous theoretical predictions This discrepancy was commonly encountered in the comparison between the theoretical prediction and the experimental finding. Additionally, the difference between the rectilinear system and the present one was also discussed. The present system was found more insensitive to the Peclet number than the rectilinear one.

Spectral analysis of semi-actively controlled structures subjected to blast loading

  • Ewing, C.M.;Guillin, C.;Dhakal, R.P.;Chase, J.G.
    • Structural Engineering and Mechanics
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    • 제33권1호
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    • pp.79-93
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    • 2009
  • This paper investigates the possibility of controlling the response of typical portal frame structures to blast loading using a combination of semi-active and passive control devices. A one storey reinforced concrete portal frame is modelled using non-linear finite elements with each column discretised into multiple elements to capture the higher frequency modes of column vibration response that are typical features of blast responses. The model structure is subjected to blast loads of varying duration, magnitude and shape, and the critical aspects of the response are investigated over a range of structural periods in the form of blast load response spectra. It is found that the shape or length of the blast load is not a factor in the response, as long as the period is less than 25% of the fundamental structural period. Thus, blast load response can be expressed strictly as a function of the momentum applied to the structure by a blast load. The optimal device arrangements are found to be those that reduce the first peak of the structural displacement and also reduce the subsequent free vibration of the structure. Semi-active devices that do not increase base shear demands on the foundations in combination with a passive yielding tendon are found to provide the most effective control, particularly if base shear demand is an important consideration, as with older structures. The overall results are summarised as response spectra for eventual potential use within standard structural design paradigms.

Nonlinear thermal buckling behavior of functionally graded plates using an efficient sinusoidal shear deformation theory

  • Bouiadjra, Rabbab Bachir;Bedia, E.A. Adda;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • 제48권4호
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    • pp.547-567
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    • 2013
  • Nonlinear behavior of functionally graded material (FGM) plates under thermal loads is investigated here using an efficient sinusoidal shear deformation theory. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements give rise to the sinusoidal distribution of transverse shear stress through the thickness in such a way that shear stresses vanish on the plate surfaces. Therefore, there is no need to use shear correction factor. Unlike the conventional sinusoidal shear deformation theory, the proposed efficient sinusoidal shear deformation theory contains only four unknowns. The material is graded in the thickness direction and a simple power law based on the rule of mixture is used to estimate the effective material properties. The neutral surface position for such FGM plates is determined and the sinusoidal shear deformation theory based on exact neutral surface position is employed here. There is no stretching-bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. The non-linear strain-displacement relations are also taken into consideration. The thermal loads are assumed as uniform, linear and non-linear temperature rises across the thickness direction. Closed-form solutions are presented to calculate the critical buckling temperature, which are useful for engineers in design. Numerical results are presented for the present efficient sinusoidal shear deformation theory, demonstrating its importance and accuracy in comparison to other theories.

도로 성토 시 인근 구조물에 각변위기준 적용에 있어 계측시스템의 한계성 (Limitation of Measurement System in Application of Angular Distortion Criterion to Structure Near Road Embankment)

  • 김태형;김동인;김윤태;유상호;정용은;김성웅
    • 한국지반환경공학회 논문집
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    • 제15권1호
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    • pp.43-51
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    • 2014
  • 부등침하로 인한 각변위는 구조물의 안정성과 사용성에 영향을 미치는 중요한 요소 중 하나이다. 실무에서는 현재 Bjerrum이 제안한 각변위기준이 널리 사용되고 있다. 하지만 현재 도로 성토 현장에서 적용하고 있는 계측시스템은 구조물의 각변위를 적합하게 나타내지 못하고 있다. 이와 같은 문제는 충분하지 못한 계측 수, 부정확한 계측기 설치, 계측된 자료의 해석에 있어 각변위 기본개념의 잘못된 이해 등과 관련이 된다. 본 연구에서 도로 성토 현장에서 얻어진 데이터의 분석을 통해 이와 같은 문제점을 규명하였다. 도로 성토 현장에서 적용할 수 있는 자동화된 상대변위 계측시스템이라는 개선된 계측시스템을 제안하였다.

현장계측에 의한 농업용저수지 제체의 안정관리기법 (Stability Evaluation Methods of Agricultural Reservoir by Field Monitoring)

  • 이달원;오범환
    • 농업과학연구
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    • 제30권2호
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    • pp.164-174
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    • 2003
  • 본 연구는 연약지반상에 축조되는 농업용 저수지의 합리적인 안정관리의 기준을 수립하기 위하여 현장계측결과를 기초로 시공중 또는 완공후에 측방유동 등으로 인하여 국부적인 전단파괴 가능성을 현장계측치로부터 비교분석하여 다음과 같은 결론을 얻었다. 1. 한계평형법에 의해 안전율을 비교하면 Spencer방법과 간이 Bishop방법은 거의 유사하게 나타났고, 간이 Janbu 방법은 약간 작게 나타났다. Spencer방법은 흙의 활동부분에 대해 힘과 모멘트 두 평형방정식을 만족시키는 해석방법이므로 저수지의 안정성을 해석하는데는 합리적이라 판단된다. 2. 수평변위는 물리적 성질의 변곡점이 형성되는 부분에서 급증하였고, 성토의 안정관리는 각 토층의 경계부분에서 가장 불안정한 상태로 나타나므로 분석시 가장 우선적으로 검토하여야 한다. 3. 수평변위속도에 의한 안정성 평가방법은 파괴 가능성을 미리 예측하는데 상당히 효율적인 방법이라고 판단되고, 전단파괴 가능성이 높은 무처리 지반에서의 안전율의 기준은 처리지반보다도 신중하게 선정하여야 할 것으로 판단된다. 4. 점증하중에 의한 시공중 안정성을 계측자료를 이용하여 분석한 결과, 파괴기준선에 접근하여 위험가능성이 있는 부분도 있었으나 성토체는 안정한 것으로 확인되어 안정관리상 파괴기준선으로 안정성을 평가하는 것보다는 곡선의 기울기로 판단하는 것이 합리적이다.

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전동 스쿠터 프레임의 구조 진동해석 연구 (Structure-Vibration Analysis of Electric Scooter Frame)

  • 천세영;성기원;박해이;김인수;강성기
    • 한국기계가공학회지
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    • 제15권1호
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    • pp.116-121
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    • 2016
  • The purpose of this study was to ensure the safety of a scooter frame through a structure and vibration analysis according to the tube thickness and weight of the frame of the electric scooter, which is currently being commercialized. According to the results of this study, the largest displacement value of 0.13238mm appeared in the 3-mm thickness when applying the 100-kg load according to the thickness, and 0.026591mm and 0.019062mm appeared in the 4-mm and 5-mm thicknesses, respectively. The difference between the 4-mm and 5-mm values was 0.007529mm, and it showed low displacement. Thus, the frame of more than 4-mm thickness was considered safe. In addition, the experimental result for the natural frequency from Mode 1 to Mode 6 in the vibration analysis was within 601.88Hz. In the 5-mm frame, the durability regarding the vibration was recognized as the best due to the appearance of the critical frequency (341.03Hz).

Determining minimum analysis conditions of scale ratio change to evaluate modal damping ratio in long-span bridge

  • Oh, Seungtaek;Lee, Hoyeop;Yhim, Sung-Soon;Lee, Hak-Eun;Chun, Nakhyun
    • Smart Structures and Systems
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    • 제22권1호
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    • pp.41-55
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    • 2018
  • Damping ratio and frequency have influence on dynamic serviceability or instability such as vortex-induced vibration and displacement amplification due to earthquake and critical flutter velocity, and it is thus important to make determination of damping ratio and frequency accurate. As bridges are getting longer, small scale model test considering similitude law must be conducted to evaluate damping ratio and frequency. Analysis conditions modified by similitude law are applied to experimental test considering different scale ratios. Generally, Nyquist frequency condition based on natural frequency modified by similitude law has been used to determine sampling rate for different scale ratios, and total time length has been determined by users arbitrarily or by considering similitude law with respect to time for different scale ratios. However, Nyquist frequency condition is not suitable for multimode system with noisy signals. In addition, there is no specified criteria for determination of total time length. Those analysis conditions severely affect accuracy of damping ratio. The focus of this study is made on the determination of minimum analysis conditions for different scale ratios. Influence of signal to noise ratio is studied according to the level of noise level. Free initial value problem is proposed to resolve the condition that is difficult to know original initial value for free vibration. Ambient and free vibration tests were used to analyze the dynamic properties of a system using data collected from tests with a two degree-of-freedom section model and performed on full bridge 3D models of cable stayed bridges. The free decay is estimated with the stochastic subspace identification method that uses displacement data to measure damping ratios under noisy conditions, and the iterative least squares method that adopts low pass filtering and fourth order central differencing. Reasonable results were yielded in numerical and experimental tests.

유전자 알고리즘을 이용한 닐센아치교의 최적설계기법 (Opitmal Design Technique of Nielsen Arch Bridges by Using Genetic Algorithm)

  • 이광수;정영수
    • 한국강구조학회 논문집
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    • 제21권4호
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    • pp.361-373
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    • 2009
  • 유전자 알고리즘을 이용한 닐센아치교의 최적설계기법을 이 논문에서 제시하였다. 설계 매개변수로는 닐센아치교의 아치-라이즈비와 강중비에 대해서 최적화기법을 적용하여 각각의 거동을 분석하고, 적정성을 평가하여 최적의 매개변수 값을 결정하였다. 매개변수의 결정은 구조물의 안전성과 사용성 그리고 경제성에 중요한 설계인자로서 정형화가 요구된다. 이를 위해 최적화 기법으로 전역 최적해 탐색능력이 우수한 유전자 알고리즘을 사용하였으며, 설계 목적함수로는 구조물의 총 중량을 사용하였고, 제약조건으로는 변위, 응력, 시공성 제약조건을 두었다. 구조해석은 미소변위이론에 의한 탄성해석을 수행하여 유전자 알고리즘과 조합하여 병렬연산으로 수행시간을 단축시켰다. 이 연구에서 개발된 최적설계기법을 사용하여 최적의 아치-라이즈비와 강중비, 최적설계영역을 제시 하였으며 실무에 적용할 수 있도록 하였다.

연약지반 보강성토에서 섬유보강재 소요인장강도의 결정 (The Determination of Required Tensile Strength of Geosynthetic Reinforcements for Embankment on Soft Ground)

  • 이광열;황재홍;구태곤
    • 한국지반공학회논문집
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    • 제19권6호
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    • pp.379-385
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    • 2003
  • 기존의 섬유보강성토제체의 설계에서 보강재의 변형을 고려하지 않고 연직응력을 보강재의 인장강도로 사용함으로써, 흙구조물의 파괴응력에 대응하는 보강재의 한계응력산정과 그에 따른 보강재의 규격결정이 불가능했다. 보강재에 의해 보강된 성토제체의 파괴면에서 보강재와 흙의 거동은 초기응력단계에서는 일체로서 거동하지만 응력의 증가에 따라 변형량의 차이가 증가한다. 이러한 문제는 흙구조물의 보강재설계에서 중요한 요소로서 보강효과에 큰 영향을 미칠 수 있다. 본 연구에서는 연약지반위에 PET Mat로 보강한 성토제체의 보강재 설계 시 파괴면상의 보강재 설치위치에서 흙과 보강재의 변형량을 고려한 설계방법을 제시하였다. 연구결과에 의하면, 허용안전율을 확보하는 범위내에서 예상파괴면상의 보강재 설치위치에서의 보강재의 인장강도는 흙의 응력 이상이어야 하며, 흙의 변형링${\Delta S}$과 보강재의 변형량${\Delta G}$이 일체로 거동하는 보강재의 소요인장강도를 보강재의 설계인장강도로서 결정하는 것이 합리적이고 경제적인 것으로 평가되었다.