• 제목/요약/키워드: Equivalent shear depth

검색결과 39건 처리시간 0.029초

크랙이 존재하는 복합재료 보의 동적 특성 연구 (A Study on the Dynamic Characteristics of a Composite Beam with a Transverse Open Crack)

  • 하태완;송오섭
    • 소음진동
    • /
    • 제9권5호
    • /
    • pp.1019-1028
    • /
    • 1999
  • Free vibration characteristics of cantilevered laminated composite beams with a transverse non0propagating open carck are investigated. In the present analysis a special ply-angle distribution referred to as asymmetric stiffness configuration inducing the elastic coupling between chord-wise bending and extension is considered. The open crack is modelled as an equivalent rotational spring whose spring constant is calculated on the basis of fracture mechanics of composite material structures. Governing equations of a composite beam with a open crack are derived via Hamilton's Principle and Timoshenko beam theory encompassing transverse shear and rotary inertia effect. the effects of various parameters such as the ply angle, fiber volume fraction, crack depth, crack position and transverse shear on the free vibration characteristics of the beam with a crack is highlighted. The numerical results show that the natural frequencies obtained from Timoshenko beam theory are always lower than those from Euler beam theory. The presence of intrinsic cracks in anisotropic composite beams modifies the flexibility and in turn free vibration characteristics of the structures. It is revealed that non-destructive crack detection is possible by analyzing the free vibration responses of a cracked beam.

  • PDF

국내 액상화 평가를 위한 진동전단응력비 산정 (Evaluation Methods of Cyclic Shear Stress Ratio for the Assessment of Liquefaction in Korea)

  • 유병수;봉태호;김성렬
    • 한국지반공학회논문집
    • /
    • 제35권6호
    • /
    • pp.5-15
    • /
    • 2019
  • 액상화 평가를 수행할 때 진동전단응력비(CSR)는 일반적으로 지반응답해석 또는 Seed & Idriss의 간편법을 수정한 방법을 통해 산정하고 있다. 본 연구에서는 진동전단응력비 산정방법의 적용성을 분석하기 위하여 1차원 등가선형 지반응답해석을 수행한 후 미연방도로국(FHWA), 일본도로협회(JRA), 국내설계기준(KDS) 등에서 제안한 방법을 적용하여 진동전단응력비를 산정하였다. 연구결과, 국내설계기준(KDS)으로 산정한 진동전단응력비가 해석 결과와 가장 큰 오차를 나타내었다. 그 이유는 국내설계기준의 경우 깊이에 따른 응력감소계수를 최대진동전단응력의 비가 아닌 최대지반가속도의 비로 정의하는 오류가 있기 때문이다.

지반의 침식특성을 이용한 교각세굴 사례 연구 (A Case Study of Pier Scour Considering Soil Erodibility)

  • 곽기석;정문경;이주형;박재현
    • 한국지반공학회논문집
    • /
    • 제20권3호
    • /
    • pp.67-74
    • /
    • 2004
  • 사례 연구를 통해서 실제 세립토 교량현장에 대해 기존 교량세굴 해석모델들의 적용성을 분석하였다. 하상이 실트질 점토로 구성된 강화 초지대교를 대상교량으로 선정하여 현장조사를 실시하였다. 초음파 센서장비를 이용하여 교각주변의 세굴심을 직접 측정하였으며, 불교란시료를 채취하여 지반공학적 특성을 결정하고, 또한 세굴률 실험을 통해 대상 지반의 유속별 세굴률을 분석하였다. 그 결과를 바탕으로 기존에 제안된 대표적인 교량세굴 해석모델들을 이용하여 주요 교각의 세굴심을 예측하여 실측 세굴심과 비교하였다. 지반의 침식특성을 고려하지 않는 기존의 교량세굴 해석모델들은 모두 3.6∼6.5의 비율로 세굴심을 과대평가하는 경향을 보였으며, SRICOS 방법은 실측세굴심에 비해 1.7배의 합리적인 결과를 보여주었다.

Interaction analysis of three storeyed building frame supported on pile foundation

  • Rasal, S.A.;Chore, H.S.;Sawant, V.A.
    • Coupled systems mechanics
    • /
    • 제7권4호
    • /
    • pp.455-483
    • /
    • 2018
  • The study deals with physical modeling of a typical three storeyed building frame supported by a pile group of four piles ($2{\times}2$) embedded in cohesive soil mass using three dimensional finite element analysis. For the purpose of modeling, the elements such as beams, slabs and columns, of the superstructure frame; and that of the pile foundation such as pile and pile cap are descretized using twenty noded isoparametric continuum elements. The interface between the pile and the soil is idealized using sixteen node isoparametric surface element. The soil elements are modeled using eight nodes, nine nodes and twelve node continuum elements. The present study considers the linear elastic behaviour of the elements of superstructure and substructure (i.e., foundation). The soil is assumed to behave non-linear. The parametric study is carried out for studying the effect of soil- structure interaction on response of the frame on the premise of sub-structure approach. The frame is analyzed initially without considering the effect of the foundation (non-interaction analysis) and then, the pile foundation is evaluated independently to obtain the equivalent stiffness; and these values are used in the interaction analysis. The spacing between the piles in a group is varied to evaluate its effect on the interactive behaviour of frame in the context of two embedment depth ratios. The response of the frame included the horizontal displacement at the level of each storey, shear force in beams, axial force in columns along with the bending moments in beams and columns. The effect of the soil- structure interaction is observed to be significant for the configuration of the pile groups and in the context of non-linear behaviour of soil.

지반 응답 해석 Round Robin Test의 입력 지진파 및 물성에 관한 고찰 (Investigation into the Input Earthquake Motions and Properties for Round Robin Test on Ground Response Analysis)

  • 선창국;한진태;최정인;김기석;김명모
    • 한국지반공학회:학술대회논문집
    • /
    • 한국지반공학회 2007년 가을학술발표회
    • /
    • pp.266-292
    • /
    • 2007
  • Round Robin Test (RRT) on ground response analyses was conducted for three sites in Korea based on several site investigation data, which include borehole logs with the N values from standard penetration test (SPT) for all three sites and additionally cone tip resistance profiles for two sites. Three input earthquake motions together with the site investigation data were provided for the RRT. A total of 12 teams participating in this RRT presented the results of ground response analyses using equivalent-linear and/or nonlinear method. Each team determined input geotechnical properties by using empirical relationships and literatures based on own judgment, with the exception of the input motions. Herein, the characteristics of input motions were compared in terms of the frequency and period, and the selection of the depth to bedrock, on which the motions is impinged, was discussed considering geologic conditions in Korea. Furthermore, a variety of geotechnical properties such as shear wave velocity profiles and soil nonlinear curves were investigated with the input properties used in this RRT.

  • PDF

풍화암에서 실시된 터널굴착으로 인한 단독말뚝 및 군말뚝의 거동 (The Response of a Single Pile and Pile Groups to Tunnelling Performed in Weathered Rock)

  • 이철주
    • 대한토목학회논문집
    • /
    • 제32권5C호
    • /
    • pp.199-210
    • /
    • 2012
  • 본 연구에서는 3차원 탄-소성 유한차분해석을 통해 기존재하는 단독말뚝, $3{\times}3$$5{\times}5$ 군말뚝의 바로 아래 풍화암 지반에서 실시된 터널시공으로 인한 말뚝의 거동을 분석하였다. 수치해석에서는 터널굴착으로 인한 말뚝의 거동을 규명하기 위하여 지반/말뚝의 침하 및 전단응력전이(shear stress transfer) 메커니즘을 심도있게 분석하였다. 터널굴착으로 유발된 지반의 침하와 말뚝-지반 사이 경계면에서의 상대변위 발생으로 인해 말뚝에 작용하는 전단응력 및 축력의 분포가 매우 크게 변화하였다. 계산된 결과에 의하면 터널굴착으로 인해 말뚝의 두부로부터 말뚝길이의 약 80%에 해당되는 위치까지는 상향의 전단응력이 발생하였고, 그 하부에서는 하향의 전단응력이 발생하였다. 이로 인해 말뚝의 축력이 터널의 굴착에 따라 지속적으로 감소하고, 순수한 터널의 시공으로 인하여 말뚝에는 인장력이 발생하였는데 이로 인해 말뚝에는 최대 $0.36P_a$의 인장력이 발생하였다, 여기서 $P_a$는 터널굴착이전에 말뚝두부에 작용하는 설계하중이다. 말뚝의 거동은 경계면에서의 전단강도 발현 정도에 가장 큰 영향을 받는 것으로 나타났다. 군말뚝의 경우 일반적으로 말뚝의 숫자가 증가할수록 터널의 시공에 의해 말뚝의 침하가 증가하는 것으로 나타났으며, 이와는 반대로 말뚝의 축력변화는 군효과(shielding effect)로 인해 단독말뚝의 경우에 비해 작은 것으로 분석되었다. 터널굴착으로 인한 말뚝침하의 증가로 인한 겉보기지지력(apparent pile capacity) 감소는 단독말뚝에 비해 군말뚝에서 두드러지는 것으로 분석되었다.

유한요소법을 이용한 치근단절제술후 근첨의 응력분포에 관한 연구 (FINITE ELEMENT ANALYSIS OF STRESS DISTRIBUTION IN ROOT-END RESECTED TEETH)

  • 이세준;최호영;민병순;박상진;최기운
    • Restorative Dentistry and Endodontics
    • /
    • 제23권1호
    • /
    • pp.163-174
    • /
    • 1998
  • The purpose of this study is to evaluate the distribution of stress in the root end resected teeth. The finite element method was used to compare stresses along the root and retrograde filling material in seven two-dimensional models of mandibular 2nd premolar. Each model was endodontic treatment and gold crown' restoration. Each model divided with amagam core restoration or gold casting post restoration. Thus each model divided with shape of root end resection, depth of retropreparation and exposure length of root in the bony cavity. The seven models were classified as in the table 1 below. A load of 500N was applied $45^{\circ}$ diagonally on the lingual slope of the buccal cusp. These mode were analyzed with two dimensional finite element methods. The results of this study were as follows : 1. The maximum tensile stress along the inner canal wall was shown on the model 7. 2. When the model 1 was compared with the model 5, the maximum tensile stress along the inner canal wall showed the model 1. 3. Less equivalent stress was shown on the model 6 and more equivalent stress was shown on the model 4. 4. More shear stress was shown on the retrograde filling material of the model 7. 5. The models with increased length of exposed root in the bony cavity demonstrated a gradual increase to the tensile stress in X direction which occurred approximately a boundary between the bone and exposed root in' the bony cavity. 6. The model which had a case of matching the apex of post and a boundary between the bone and exposed root in the bony cavity demonstrated more increase tensile stress in X direction than other models.

  • PDF

국내 지반 특성에 따른 합리적 증폭 계수의 결정을 위한 지반 분류 체계 개선 방안 고찰 (Modification of Site Classification System for Amplification Factors considering Geotechnical Conditions in Korea)

  • 선창국;정충기;김동수
    • 한국지진공학회:학술대회논문집
    • /
    • 한국지진공학회 2005년도 학술발표회 논문집
    • /
    • pp.90-101
    • /
    • 2005
  • For the site characterization at two representative inland areas, Gyeongju and Hongsung, in Korea, in-situ seismic tests containing boring investigations and resonant column tests were performed and site-specific ground response analyses were conducted using equivalent linear as well as nonlinear scheme. The soil deposits in Korea were shallower and stiffer than those in the western US, from which the site classification system and site coefficients in Korea were derived. Most sites were categorized as site classes C and D based on the mean shear wave velocity to 30 m, Vs30 ranging between 250 and 650 m/s. Based on the acceleration response spectra determined from the site-specific analyses, the site coefficients specified in the Korean seismic design guide underestimate the ground motion in the short-period band and overestimate the ground motion in mid-period band. These differences can be explained by the differences in the bedrock depth and the soil stiffness profile between Korea and western US. The site coefficients were re-evaluated and the preliminary site classification system was introduced accounting for the local geologic conditions on the Korean peninsula.

  • PDF

Characteristic equation solution of nonuniform soil deposit: An energy-based mode perturbation method

  • Pan, Danguang;Lu, Wenyan;Chen, Qingjun;Lu, Pan
    • Geomechanics and Engineering
    • /
    • 제19권5호
    • /
    • pp.463-472
    • /
    • 2019
  • The mode perturbation method (MPM) is suitable and efficient for solving the eigenvalue problem of a nonuniform soil deposit whose property varies with depth. However, results of the MPM do not always converge to the exact solution, when the variation of soil deposit property is discontinuous. This discontinuity is typical because soil is usually made up of sedimentary layers of different geologic materials. Based on the energy integral of the variational principle, a new mode perturbation method, the energy-based mode perturbation method (EMPM), is proposed to address the convergence of the perturbation solution on the natural frequencies and the corresponding mode shapes and is able to find solution whether the soil properties are continuous or not. First, the variational principle is used to transform the variable coefficient differential equation into an equivalent energy integral equation. Then, the natural mode shapes of the uniform shear beam with same height and boundary conditions are used as Ritz function. The EMPM transforms the energy integral equation into a set of nonlinear algebraic equations which significantly simplifies the eigenvalue solution of the soil layer with variable properties. Finally, the accuracy and convergence of this new method are illustrated with two case study examples. Numerical results show that the EMPM is more accurate and convergent than the MPM. As for the mode shapes of the uniform shear beam included in the EMPM, the additional 8 modes of vibration are sufficient in engineering applications.

연약한 점토층 위에 놓인 모래지반의 극한지지력에 관한 연구 (Bearing Capacity of Foundation on Sand Overlying Soft Clay)

  • 민덕기;김효상
    • 한국지반공학회논문집
    • /
    • 제15권5호
    • /
    • pp.29-41
    • /
    • 1999
  • 본 논문에서는 연약한 점토층과 모래지반으로 이루어진 2층지반의 지지력을 구하기 위하여 비교적 간단한 강도정수평균법을 적용하였다. 강도정수평균법의 오차를 줄이기 위해, 강도정수평균을 취할 한계깊이를 정의하는 식을 유도하고, 수치해석(FLAC)을 이용하여 보정하였다. 그리고 그 결과를 무차원차트로 나타내었다. 본 논문에서 제안된 무차원차트를 이용하여 구한 2층지반의 지지력과 Satyanarayana & Grag, Sreenivasulu, Meyerhof & Hnna 등이 제안한 기존의 연구결과와 비교 및 검토를 수행하였다, 강도정수평균법은 하부지반을 대표할 수 있는 물성을 구하고, 기초하부를 단층지반으로 가정한 후 기존의 지지력계수를 사용하게 된다. 본 논문에서 기존의 제안된 지지력계수 중에서 Vesic이 제안한 지지력계수를 사용하는 것이 수치해석에 근접하였고, 강도정수평균을 취할 한계깊이를 기초폭의 약 2배로 가정한 Satyanarayana & Grag의 방법과 기초 파괴시 형성되는 강체쐐기의 크기$[0.5B\; tan(45+\phi_1/2)]$로 가정한 Sreenivasulu방법은 과다한 지지력이 산정되는 결과를 보였다. 그리고 기초연단에서 수직면을 따라 수동파괴 상태가 형성되는 것으로 가정한 Heyerhof & Hanna의 결과와 본 연구에서 제안한 방법은 비교적 잘 일치하였다. 따라서, 제안된 무차원차트를 이용하여 연약한 점토층 위에 놓인 모래지반의 지지력을 근사적으로 예측할 수 있다는 결론을 얻었다.

  • PDF