• Title/Summary/Keyword: Stiffness Constant

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Development of Stress, Load and Displacement Controlled Direct Shear Apparatus for Jointed Rock (응력, 하중, 변위제어 방식의 암석 절리면 전단시험기의 개발)

  • 김대영;천병식;서영호;이영남
    • Proceedings of the Korean Geotechical Society Conference
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    • 1999.03a
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    • pp.471-477
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    • 1999
  • A new stress, load and displacement controlled direct shear apparatus has recently been developed at the Hyundai Institute of Construction Technology This direct shear apparatus is capable of testing of rock joint under constant normal stiffness, constant normal stress or constant normal load boundary conditions. This paper describes this direct shear apparatus and illustrates results of shear tests at constant normal stress condition, constant normal load condition and constant normal stiffness condition with dental stones which have a same joint roughness and unconfined compressive strength.

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Prediction for Shear Behavior of the Rock Joints with Boundary Conditions using the Graphic Method (Graphic 방법을 이용한 암반의 경계조건에 따른 절리면 전단거동 예측)

  • Kim Yong Jun;Lee Jeong Hark;Song Pum;Yeom Hyeong Jin
    • Proceedings of the KSR Conference
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    • 2003.10b
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    • pp.466-471
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    • 2003
  • The characteristics of a rock joint which influence the stability of rock mass structures, such as the cut slopes and the tunnels, are largely controlled by the conditions of the rock joint as well as its boundary conditions. Boundary conditions can be represented by assuming that the deformability(or stiffness) of the rock mass surrounding the joints is modelled by a spring with stiffness. A new direct shear apparatus is developed in this study, which adapts a servo control system using PID algorithm. This apparatus can be used to investigate the various aspects of shear characteristics of the rock joints at conditions of constant normal stress and constant normal stiffness and so on. It is possible that the behavior under the constant normal stiffness condition can be predicted by the normalized graphic method with results obtained from the tests in the constant normal stress condition.

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Shear Load characteristics of drilled shafts considering socket-roughness in Constant Normal Stiffness(CNS) Test (일정수직강성시험을 통한 암반근입 현장타설말뚝의 주면마찰력특성분석)

  • Jeong, Sang-Seom;Jung, Woo-Hyun;Seol, Hoon-Il
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.10a
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    • pp.489-498
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    • 2005
  • In this study, the shaft resistance of drilled shafts socketed into weathered-and soft-rocks was examined by the constant normal stiffness(CNS) test. Large scale model tests were performed for different unconfined compressive strength, socket roughness, initial normal stress, and normal stiffness for identifying shear load transfer characteristics. Through comparisons with previous studies, it is found that the results by the present approach is good agreement with the general trend observed by existing empirical and analytical results.

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A Study on Shear Behaviors for the Rock Joint in the Constant Normal Stiffness Condition (일정수직강성(CNS) 조건에서 절리면 전단거동에 관한 연구)

  • Kim Yong-Jun;Lee Young-Huy;Kim Sun-Ki;Kim Chu-Hwa
    • Tunnel and Underground Space
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    • v.15 no.5 s.58
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    • pp.330-337
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    • 2005
  • Apart from the geometric features of the rock joints, the shear characteristics of rock mass subject to shear force are also significantly affected by the boundary conditions in the neighborhood of the rock mass. The boundary conditions of the rock mass can be classified into 4 categories according to the stress state of the rock joint, of which the constant normal load (CNL) is the most used for shear test and produces the lowest shear strength and different behavior. In this study, the shear behavior under constant normal stiffness condition was able to replicated by the graphic method normalized by the test results under constant normal stress condition.

Development of Measurement System for Quantitative Measurement of Cantilever in Atomic Force Microscopy (원자간격 현미경의 캔틸레버의 정량적 특성평가를 위한 계측 시스템 개발)

  • Kweon, Hyun-Kyu;Nam, Ki-Ho
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.6 no.2
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    • pp.22-27
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    • 2007
  • In this study, the two methods of stiffness measurement(Spring constant) of cantilever were proposed for quantitative measurement in Atomic Force Microscopy(AFM). As the 1st method for the measurement of stiffness, the probe method, which is used in the measurement of the semiconductor mechanical and electrical properties, was applied to the measurement of the cantilever. Experiments by the probe method were performed finding the resistance value of cantilever. As the results, the resistance was measured differently along with the dimension and the thickness of cantilever that determined the stiffness(spring constant) of the lever. As the 2nd method, the vibration characteristics(Dunkerley expression) is used to obtain the stiffness of the complex structure which is combined by AFM cantilever and the standard cantilever. We measured the resonant frequency from the complex structure using the micro stages and stereo microscope. As the results, we confirmed that the vibration characteristics(Dunkerley expression) is effected the micro complex structure of AFM cantilever.

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Sensitivity Analysis for Natural Frequency of Torsional Shafting with Constant Cross Section Using Transfer of Stiffness Coefficient (강성계수의 전달을 이용한 일정 단면을 갖는 비틀림 축계의 고유진동수 민감도 해석)

  • Choi, Myung-Soo;Byun, Jung-Hwan
    • Journal of Power System Engineering
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    • v.16 no.2
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    • pp.11-16
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    • 2012
  • In this paper, the authors formulate the sensitivity analysis algorithm for the natural frequency of a torsional shafting by expanding the transfer stiffness coefficient method. The basic concept of the present algorithm is based on the transfer of sensitivity stiffness coefficient, which is the derivative of stiffness coefficient with respect to design parameter, at every node from the first node to the last node in analytical model. The effectiveness of the present algorithm is confirmed by comparing the results of the sensitivity analysis and those of the reanalysis for the natural frequencies of a torsional shafting with a constant cross section. In numerical calculation, the design parameter is the diameter of the shaft element of the torsional shafting.

Optimal stiffness distribution in preliminary design of tubed-system tall buildings

  • Alavi, Arsalan;Rahgozar, Reza
    • Structural Engineering and Mechanics
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    • v.65 no.6
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    • pp.731-739
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    • 2018
  • This paper presents an optimal pattern for distributing stiffness along a framed tube structure through an analytic equation, which may be used during the preliminary design stage. Most studies in this field are computationally intensive and time consuming, while a hand-calculation method, as presented here, is a more suitable tool for sensitivity analyses and parametric studies. Approach in development of the analytic model is to minimize the mean compliance (external work) for a given volume of material. A variational statement of the problem is made, and a specified deformation-profile is obtained as the necessary condition for a minimum; enforcing this condition, stiffness is then computed. Due to some near-zero values for stiffness, the problem is modified by considering a lower bound constraint. To deal with this constraint, the design domain is assumed to be divided into two zones of constant stiffness and constant curvature; and the problem is restated in terms of these concepts. It will be shown that this methodology allows for easy computation of stiffness through an analytic and dimensionless equation, valid in any system of units. To show practicality of the proposed method, a tubed-system structure with uniform stiffness distribution is redesigned using the proposed model. Comparative analyses of the results reveal that in addition to simplicity of the proposed method, it provides a rather high degree of accuracy for real-world problems.

Assessment of non-prismatic beams having symmetrical parabolic haunches with constant haunch length ratio of 0.5

  • Yuksel, S. Bahadir
    • Structural Engineering and Mechanics
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    • v.42 no.6
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    • pp.849-866
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    • 2012
  • Single span historic bridges often contain non-prismatic members identified with a varying depth along their span lengths. Commonly, the symmetric parabolic height variations having the constant haunch length ratio of 0.5 have been selected to lower the stresses at the high bending moment points and to maintain the deflections within the acceptable limits. Due to their non-prismatic geometrical configuration, their assessment, particularly the computation of fixed-end horizontal forces (FEFs) and fixed-end moments (FEMs) becomes a complex problem. Therefore, this study aimed to investigate the behavior of non-prismatic beams with symmetrical parabolic haunches (NBSPH) having the constant haunch length ratio of 0.5 using finite element analyses (FEA). FEFs and FEMs due to vertical loadings as well as the stiffness coefficients and the carry-over factors were computed through a comprehensive parametric study using FEA. It was demonstrated that the conventional methods using frame elements can lead to significant errors, and the deviations can reach to unacceptable levels for these types of structures. Despite the robustness of FEA, the generation of FEFs and FEMs using the nodal outputs of the detailed finite element mesh still remains an intricate task. Therefore, this study advances to propose effective formulas and dimensionless estimation coefficients to predict the FEFs, FEMs, stiffness coefficients and carry-over factors with reasonable accuracy for the analysis and re-evaluation of the NBSPH. Using the proposed approach, the fixed-end reactions due to vertical loads, and also the stiffness coefficients and the carry-over factors of the NBSPH can be determined without necessitating the detailed FEA.

Development of a New Direct Shear Apparatus Considering the Boundary Conditions of Rock Joints (암반의 경계조건을 고려한 절리면 직접전단시험기 개발)

  • 이영휘;김용준
    • Journal of the Korean Geotechnical Society
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    • v.19 no.2
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    • pp.147-157
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    • 2003
  • The characteristics of a rock joint which influence the stability of rock mass structures such as cut slopes and tunnels are largely controlled by the conditions of the rock joint as well as its boundary conditions. The conditions of rock joints comprise asperity strength, roughness, and filling materials. Boundary conditions can be represented by assuming that the deformability(or stiffness) of the rock mass surrounding the joints is modelled by a spring with stiffness. A new direct shear apparatus was developed in this study, which adapts a servo control system using PID algorithm. This apparatus can be used to investigate the various aspects of shear characteristics of the rock joints at conditions of constant normal stress and constant normal stiffness and so on. The test results for saw-cut teeth joints show that shear strength should be evaluated by considering its specific boundary conditions far the design of tunnels and cut slopes.

Dynamic Behaviors of a Bridge under Seismic Excitations Considering Stiffness Degradation with Various Abutment-Soil Conditions (교대인접토체의 특성에 따른 강성저하를 고려한 교량시스템의 지진거동분석)

  • 김상효;마호성;경규혁;이상우
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.347-354
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    • 2000
  • The seismic behaviors of a bridge system with several simple spans are examined to see the effects of the longitudinal stiffness degradation due to abutment-soil interaction. The abutment-backfill system is modeled as one degree-of-freedom-system with nonlinear spring and linear damper. various soil-conditions surrounding the abutment such as loose sand, medium dense sand, and dense sand are considered in the bridge seismic analysis. The idealized mechanical model for the whole bridge system is modeled by adopting the multiple-degree-of-freedom system, which can consider components such as pounding phenomena, friction at the movable supports, rotational and translational motions of foundations, and the nonlinear pier motions. The stiffness of the abutment is found to be rapidly reduced at the beginning of the earthquakes, and to be converged to constant values shortly after the displacement approaches to the Predefined critical values. It is observed that the maximum relative distanced an maximum relative displacements are generally Increased as the relative density of a soil decreases As the peak ground acceleration increases, the response ratio of the case considering stiffness degradation to the case considering constant stiffness decreases.

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