• 제목/요약/키워드: Equilibrium shape

검색결과 247건 처리시간 0.022초

Static and quasi-static slope stability analyses using the limit equilibrium method for mountainous area

  • Hosung Shin
    • Geomechanics and Engineering
    • /
    • 제34권2호
    • /
    • pp.187-195
    • /
    • 2023
  • Intensive rainfall during the summer season in Korea has triggered numerous devastating landslides outside of downtown in mountainous areas. The 2D slope stability analysis that is generally used for cut slopes and embankments is inadequate to model slope failure in mountainous areas. This paper presents a new 3D slope stability formulation using the global sliding vector in the limit equilibrium method, and it uses an ellipsoidal slip surface for static and quasi-static analyses. The slip surface's flexibility of the ellipsoid shape gives a lower FS than the spherical failure shape in the Fellenius, Bishop, and Janbu's simplified methods. The increasing sub-columns of each column tend to increase the FS and converge to a steady value. The symmetrical geometric conditions of the convex turning corners do not indicate symmetrical failure of the surface in 3D analysis. Pseudo-static analysis shows that the horizontal seismic force decreases the FS and increases the mass volume at the critical failure state. The stability index takes the FS and corresponding sliding mass into consideration to assess the potential risk of slope failure in complex mountainous terrain. It is a valuable parameter for selecting a vulnerable area and evaluating the overall risk of slope failure.

막구조물의 준공평형형상해석 및 최적재단도 결정 (Determination of the Actual Equilibrium Shape Finding and Optimum Cutting Pattern for Membrane Structures)

  • 이장복;권택진
    • 한국공간구조학회논문집
    • /
    • 제1권1호
    • /
    • pp.157-166
    • /
    • 2001
  • In general, the cutting pattern of the membrane structures is determined by dividing the complicated curved 3-D surface into several 2-D plane strip by using flattening technique. In this procedure, however, some discrepancies ore occurred between actual stresses of equilibrated state and designed uniform stresses because the material properties are not considered. These deviations can cause the critical structural problems, wrinkling or overstress, and thus a optimization process should be considered. In this paper, a new analytical method for determining an optimum cutting pattern considering material properties is presented. Here, iterative procedure is introduced to decrease the errors caused in numerical process. The optimization method proposed can diminish the deviations occurred by material properties and numerical errors, simultaneously. As a results, it is shown that the final stress distributions for the HP shell model are sufficiently near to design stress distributions, and it can be concluded that this method can be used to obtain the optimized cutting pattern of membrane structures.

  • PDF

제한조건을 갖는 케이블-네트 구조물의 형상결정에 관한 연구 (A Study on Shape Determination of Cable-Net Structures with Restrained Conditions)

  • 이장복;권택진;하창우
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1999년도 가을 학술발표회 논문집
    • /
    • pp.325-332
    • /
    • 1999
  • As part of the conceptual disign of cable and membrane structures, the adequate shape is decisive with respect to load bearing behaviour and aesthetic expression of the structure. The force densities which are the force-length ratio are very useful parameters for the description of equilibrium state of any general cable-net structures. Because equilibrium states are obtained by solving linear equations the force desity method has a advantage compared with other solution strategies. But if there are futher restrainted conditions in force density the linear method will be extended to nonlinear one. The numeriacl methods are based upon least square and general inverse method for sieving nonlinear eqations. In this paper, the results from two methods is compared through several examples.

  • PDF

Aero-optical effects in the hypersonic flow field

  • Shi, Ketian;Miao, Wenbo;Li, Pengfei;Chen, Xiaoli
    • International Journal of Aerospace System Engineering
    • /
    • 제2권1호
    • /
    • pp.12-17
    • /
    • 2015
  • Aero-optical effects induced by the flow around the optical window degrade the performance of the IR seeker, especially for the hypersonic flow. For the thermochemical non-equilibrium flow, index of refraction model and optical transmission calculation method are developed to predict the aero-optical effects. The optical distortion is discussed for the typical optical widow shape and flow condition. The influence on aero-optical effects is analyzed.

Effect of Crystal Shape on the Grain Growth during Liquid Phase Sintering of Ceramics

  • Jo, Wook;Hwang, Nong-Moon;Kim, Doh-Yeon
    • 한국세라믹학회지
    • /
    • 제43권11호
    • /
    • pp.728-733
    • /
    • 2006
  • The equilibrium or growth shape of ceramic materials is classified largely into two categories according to the thermodynamic conditions imposed. One is a polyhedral shape where the surface free energy is anisotropic, and the other a spherical shape where the surface free energy is isotropic. In the case of grains with a polyhedral shape of anisotropic surface free energy, socalled abnormal grain growth usually takes place due to a significant energy barrier for a growth unit to be attached to the crystal surface. In the case of grains with a spherical shape of isotropic surface free energy, however, normal grain growth with a uniform size distribution takes place. In this contribution, the state-of-the-art of our current understanding of the relationship between the crystal shape and the microstructure evolution during the sintering of ceramic materials in the presence of a liquid phase was discussed.

급냉응고된 Al-(Fe, Ce) 합금에서 형성되는 석출상의 X-선적연구 (A Study on the Precipitates in Rapidly Solidified Al-(Fe, Ce) Alloys by Analysis of X-Ray Diffraction)

  • 박익민;이규한;최정철;조형호
    • 한국주조공학회지
    • /
    • 제8권4호
    • /
    • pp.446-452
    • /
    • 1988
  • To obtain detailed information on the metastable and the equilibrium phases in rapidly solidified Al-(Fe,Ce) alloys, analysis of X-ray diffraction pattern has been carried out. It has been found that the metastable phase formed in Al-Fe alloys including up to 6wt%Fe is $Al_6Fe$ and the equilibrium phase is $Al_3Fe$. Any X-ray diffraction peak corresponding to the equilibrium phase $Al_{13}Fe_4$ has not been observed during aging. In Al-4wt%Fe alloy, which is ribbon shape with thickness less than $70\;{\mu}m$, aged at $400^{\circ}C$ for 1h after rapid solidification, unidentified phase has been found. In Al-4wt%Ce alloy, only X-ray diffraction peak corresponding to the equilibrium phase, $Al_4Ce$ has been observed. It has been found that the metastable phase Formed in Al-Fe-Ce alloys including up to 6wt% Fe and 4wt% Ce is $Al_6Fe$ and the equilibrium phases are $Al_3Fe$ and $Al_{10}CeFe_2$.

  • PDF

막 구조물에 관한 형상 탐색과 재단도 결정법 (A Shape Finding and Cutting Pattern Determination for Membrane Structures)

  • 최호;이장복;김재열;서삼열;권택진
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
    • /
    • pp.175-182
    • /
    • 1998
  • The object of this study is shape finding and cutting pattern generation of membrane structures under the following assumptions : (1) material is linearly elastic (2) stress state is plane stress. Cable and membrane structures should introduce the nonlinear analysis considering geometric nonlinearity because these structures deform largely under the external loads. The analysis procedure is consisted of three steps considering geometric nonlinearity unlike any other structures. First step is the shape finding analysis to determine the initial equilibrium shape. Second step is the stress-deformation analysis to investigate the behaviors of structures under various external loads. Once a satisfactory shape has been found, a cutting pattern based on the shape finding analysis may be generated from the view point of construction. In this paper, (1) shape finding analysis formulation and an example, (2) cutting pattern determination procedure using weighted least-square minimization flattening method and some results are presented.

  • PDF

제어기법에 따른 비선형 형상해석의 수렴성 및 효율성 펑가 (An Estimate for Convergence and Efficiency of Nonlinear Shape Analysis According to the Control Techniques)

  • 정을석;전진형;손수덕;김승덕
    • 한국공간구조학회:학술대회논문집
    • /
    • 한국공간구조학회 2006년도 춘계 학술발표회 논문집 제3권1호(통권3호)
    • /
    • pp.214-223
    • /
    • 2006
  • Membrane structures, a kind of lightweight soft structural system, are used for spatial structures. The material property of the membrane has strong axial stiffness, but little bending stiffness. The design procedure of membrane structures are needed to do shape finding, stress-deformation analysis and cutting pattern generation. In shape finding, membrane structures are unstable structures initially. These soft structures need to be introduced initial stresses because of its initial unstable state, and happen large deformation phenomenon. Therefore, in this study, to find the structural shape after large deformation caused by initial stress, we need the shape analysis considering geometric nonlinear term. And we investigate the evaluation of shape analysis technique's convergence and efficiency according to the control method

  • PDF

Impact Assessment of Beach Erosion from Construction of Artificial Coastal Structures Using Parabolic Bay Shape Equation

  • Lim, Changbin;Lee, Sahong;Park, Seung-Min;Lee, Jung Lyul
    • 한국해양공학회지
    • /
    • 제34권6호
    • /
    • pp.436-441
    • /
    • 2020
  • Wave field changes resulting from artificial coastal structures constructed in coastal zones have emerged as a major cause of beach erosion, among other factors. The rates of erosion along the eastern coast of Korea have varied mainly owing to the construction of various ports and coastal structures; however, impact assessments of these structures on beach erosion have not been appropriately conducted. Thus, in this study, a methodology to assess the impact of erosion owing to the construction of artificial structures has been proposed, for which a parabolic bay shape equation is used in determining the shoreline angle deformation caused by the structures. Assuming that the conditions of sediment or waves have similar values in most coastal areas, a primary variable impacting coastal sediment transport is the deformation of an equilibrium shoreline relative to the existing beach. Therefore, the angle rotation deforming the equilibrium of a shoreline can be the criterion for evaluating beach erosion incurred through the construction of artificial structures. The evaluation criteria are classified into three levels: safety, caution, and danger. If the angle rotation of the equilibrium shoreline is 0.1° or less, the beach distance was considered to be safe in the present study; however, if this angle is 0.35° or higher, the beach distance is considered to be in a state of danger. Furthermore, in this study, the distance affected by beach erosion is calculated in areas of the eastern coast where artificial structures, mainly including ports and power plants, were constructed; thereafter, an impact assessment of the beach erosion around these areas was conducted. Using a proposed methodology, Gungchon Port was evaluated with caution, whereas Donghae Port, Sokcho Port, and Samcheok LNG were evaluated as being in a state of danger.