• 제목/요약/키워드: equilibrium displacement equation

검색결과 66건 처리시간 0.023초

Simplified Algorithm of the Novel Steel-concrete Mixed Structure under Lateral Load

  • Li, Liang;Li, Guo-qiang;Liu, Yu-shu
    • 국제초고층학회논문집
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    • 제1권4호
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    • pp.247-254
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    • 2012
  • In order to improve the seismic behaviors of traditional steel-concrete mixed structure, a novel steel concrete mixed structure consisting of steel frames braced with buckling restrained braces (BRBs) and a concrete tube is proposed. Based on several assumptions, the simplified mechanical model of the novel mixed structure is established, and the shear and bending stiffness formulas of the steel frames, BRBs and concrete tube are respectively introduced. The equilibrium differential equation of the novel mixed structure under horizontal load is developed based on the structural elastic theory. The simplified algorithms to determine the lateral displacement and internal forces of the novel mixed structure under the inverted-triangle distributed load, uniformly load and top-concentrated load are then obtained considering several boundary conditions and compatible deformation conditions. The effectiveness of the simplified algorithms is verified by FEM comparison.

불법목재의 교역 제한 조치가 국내 목재 시장에 미치는 영향 분석 (Analysis of the Influences on Domestic Wood Market by Prohibiting Illegal Wood Products Trade)

  • 김동현;박현;이호상
    • 한국산림과학회지
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    • 제107권3호
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    • pp.305-315
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    • 2018
  • 이 연구의 목적은 "목재의 지속가능한 이용에 관한 법률"에 근거하여 불법목재의 교역을 제한하는 제도 시행에 앞서 국내 목재시장에 미치는 영향을 분석하기 위하여 수행하였다. 시나리오 작성을 위해 부패인식지수를 활용하였고 이를 바탕으로 균형대체방정식 모형을 이용하여 정책실험을 수행하였다. 원목의 균형가격 변화율은 0.066%~0.071% 범위에서 상승할 것으로 분석되었다. 원목가격의 상승은 파생수요의 관계에 있는 제재목의 생산비에 반영되어 제재목의 공급량을 감소시킨다. 상품유형별로 대체효과에 의한 국산재 수요 확대와 국내 가격상승에 의한 공급량 확대를 감안하여 분석한 결과, 국산 제재목 가격 변화율의 범위는 0.885%~4.179%에서 증가하는 것으로 분석되었으며 이에 따라 국산 제재목의 공급량은 적어도 5.367% 증가될 것으로 나타났다.

A new analytical model to determine dynamic displacement of foundations adjacent to slope

  • Varzaghani, Mehdi Imani;Ghanbari, Ali
    • Geomechanics and Engineering
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    • 제6권6호
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    • pp.561-575
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    • 2014
  • Estimating seismic displacements has a great importance for foundations on or adjacent to slope surfaces. However, dynamic solution of the problem has received little attention by previous researchers. This paper presents a new analytical model to determine seismic displacements of the shallow foundations adjacent to slopes. For this purpose, a dynamic equilibrium equation is written for the foundation with failure wedge. Stiffness and damping at the sliding surface are considered variable and a simple method is proposed for its estimation. Finally, for different failure surfaces, the calculated dynamic displacement and the surfaces with maximum strain are selected as the critical failure surface. Analysis results are presented as curves for different slope angles and different foundation distances from edge of the slope and are then compared with the experimental studies and software results. The comparison shows that the proposed model is capable of estimating seismic displacement of the shallow foundations adjacent to slopes. Also, the results demonstrate that, with increased slope angle and decreased foundation distances from the slope edge, seismic displacement increases in a non-linear trend. With increasing the slope angle and failure wedge angle, maximum strain of failure wedge increases. In addition, effect of slope on foundation settlement could be neglected for the foundation distances over 3B to 5B.

Improved refined plastic hinge analysis accounting for local buckling and lateral-torsional buckling

  • Thai, Huu-Tai;Kim, Seung-Eock;Kim, Jongmin
    • Steel and Composite Structures
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    • 제24권3호
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    • pp.339-349
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    • 2017
  • In this paper, a conventional refined plastic hinge analysis is improved to account for the effects of local buckling and lateral-torsional buckling. The degradation of flexural strength caused by these effects is implicitly considered using practical LRFD equation. The second-order effect is captured using stability functions to minimize modeling and solution time. An incremental-iterative scheme based on the generalized displacement control method is employed to solve the nonlinear equilibrium equations. A computer program is developed to predict the second-order inelastic behavior of space steel frames. To verify the accuracy and efficiency of the proposed program, the obtained results are compared with the existing results and those generated using the commercial finite element package ABAQUS. It can be concluded that the proposed program proves to be a reliable and effective tool for daily use in engineering design.

An analytical approach for nonlinear response of elastic cable under complex loads

  • Lu, L.Y.;Chan, S.L.;Lu, Z.H.
    • Structural Engineering and Mechanics
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    • 제5권3호
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    • pp.329-338
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    • 1997
  • In this paper a general analytical approach is proposed to analyse the nonlinear response of elastic cable under complex loads. The effect of temperature change on the cable is also considered. From the vertical equilibrium equations of cable, the general analytical formula of vertical displacement is derived. Based on the vertical displacement formula and on the compatibility condition of the cable, the dimensionless equation with respect to cable tension is established. By means of such analytical procedures, the exact solutions of various cable problems can be obtained quickly. The example given in this paper shows that the new procedure is efficient for practical analysis and can be easily implemented by a general computer program without the superposition problem which there has always been in traditional analytical methods.

순목 작용에 의한 콘택트 렌즈의 운동 모델 (Model on the Contact Lens Movement from Eye-lid Blinking)

  • 김대수
    • 한국안광학회지
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    • 제9권1호
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    • pp.145-159
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    • 2004
  • 순목(blinking)에 따른 콘택트 렌즈의 운동을 예측할 수 있는 수학적인 모델과 컴퓨터 수치 해석프로그램을 안검(eyelid)의 가속도, 안검-콘택트 렌즈 사이의 미끄럼 마찰력 등을 고려한 운동(회전) 방정식으로부터 도출하였다. 순목시 안검에 의한 콘택트 렌즈의 운동은 안검이 콘택트 렌즈를 누르는 압력, 순목에 소요되는 시간, 콘택트 렌즈의 직경 등 인자에 영향을 받으며, 프로그램 결과로부터 콘택트 렌즈의 피팅에 중요한 요소인 순목 직후 평형 상태에서 이탈된 콘택트 렌즈의 위치에 대한 예측이 가능하였다. 순목 시간이 짧을수록, 콘택트 렌즈의 직경이 클수록 렌즈의 평형 이탈 거리는 크게 증가하였다. 안검의 압력 증가는 콘택트 렌즈 직경이나 순목 시간에 비해 그 영향은 미미하였다. 순목 후 콘택트 렌즈의 각막위 평형 위치로의 귀환은 순목 시간이 적절한 경우에는 순목 종료 직후의 렌즈 위치에 그다지 영향을 받지 않고 빠르게 이루어지지만 콘택트 렌즈의 직경이 큰 경우에는 렌즈 진동이 급격히 느려지기 때문에 평형 위치로 되돌아오는데 시간이 많이 걸리게 될 것이다. 따라서 직경이 대단히 큰 콘택트 렌즈를 착용한 상태에서 순목 시간이 짧은 경우에는 다음 순목때까지 콘택트 렌즈는 평형 위치에 자리잡지 못하는 결과가 발생하여 순목이 계속됨에 따라 영구 고착 등 현상이 발생할 수도 있을 것이다.

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Quasi-static responses of time-dependent sandwich plates with viscoelastic honeycomb cores

  • Nasrin Jafari;Mojtaba Azhari
    • Structural Engineering and Mechanics
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    • 제88권6호
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    • pp.589-598
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    • 2023
  • This article addresses the quasi-static analysis of time-dependent honeycomb sandwich plates with various geometrical properties based on the bending analysis of elastic honeycomb sandwich plates employing a time function with three unknown coefficients. The novel point of the developed method is that the responses of viscoelastic honeycomb sandwich plates under static transversal loads are clearly formulated in the space and time domains with very low computational costs. The mechanical properties of the sandwich plates are supposed to be elastic for the faces and viscoelastic honeycomb cells for the core. The Boltzmann superposition integral with the constant bulk modulus is used for modeling the viscoelastic material. The shear effect is expressed using the first-order shear deformation theory. The displacement field is predicted by the product of a determinate geometrical function and an indeterminate time function. The simple HP cloud mesh-free method is utilized for discretizing the equations in the space domain. Two coefficients of the time function are extracted by answering the equilibrium equation at two asymptotic times. And the last coefficient is easily determined by solving the first-order linear equation. Numerical results are presented to consider the effects of geometrical properties on the displacement history of viscoelastic honeycomb sandwich plates.

Crabbing Motion Testing of Waterjet-Powered Ships Using Stern Thrusters

  • Joopil Lee;Seung-Ho Ham
    • 한국해양공학회지
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    • 제38권1호
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    • pp.10-17
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    • 2024
  • This study assessed the potential for crabbing motion in waterjet ships by exclusively employing stern thrusters. The theoretical considerations were validated through practical sea trials on the naval vessel PKG (Patrol Killer Guided missile) equipped with three stern thrusters. The control forces were calculated using the force equilibrium equation. The results showed that the hull exhibited rotations and lateral movements under wind influence. The port tail exhibited a leftward turning tendency due to the wind. This phenomenon arises from the dominance of the rotational force generated by the stern thruster over the lateral force exerted by the hull, making it challenging to maintain force equilibrium. In the sea trial, the hull rotated by 10° and moved 10.8 m laterally, with a longitudinal movement of 0.26 m. Remarkably, the lateral movement surpassed the longitudinal displacement, indicating the success of the trial. The substantial lateral travel distance provided tangible evidence that the crabbing motion of the ship is achievable using only stern thrusters. This study contributes valuable insights into enhancing the maneuverability of waterjet ships, offering practical applications for naval operations and maritime activities.

확률 유한요소법을 사용한 구조물 최적설계 (Structural Optimization Using Stochastic Finite Element Method)

  • 임오강;이병우
    • 대한기계학회논문집
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    • 제18권8호
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    • pp.1920-1929
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    • 1994
  • The stochastic finite element method(SFEM) based structural optimal design is presented. Random system response including uncertainties for the design variable is calculated with first order perturbation method. A method for calculating the sensitivity coefficients is developed using the equilibrium equation and first-order perturbed equation. Numerical results are presented for a truss, frame and plate structures with displacement and stress constraints. The sensitivity calculation proposed here is compared with finite difference method. A nonlinear programming technique is used to solve the problem. The procedure is easily incorporated with existing deterministic structural optimization.

불포화지반에 대한 열-수리-역학 거동의 수식화 (Formulation of fully coupled THM behavior in unsaturated soil)

  • 신호성
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2010년도 추계 학술발표회
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    • pp.808-812
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    • 2010
  • A great deal of attention is focused on coupled Thermo-Hydro-Mechanical (THM) behavior of multiphase porous media in diverse geo-mechanical and geo-environmental areas. This paper presents general governing equations for coupled THM processes in unsaturated porous media. Coupled partial differential equations are derived from 3 mass balances equations (solid, water, and air), energy balance equation, and force equilibrium equation. Finite element code is developed from the Galerkin formulation and time integration of these governing equations for 4 main variables (displacement $\underline{u}$, gas pressure $P_g$, liquid pressure $P_l$), and temperature T). The code is validated with theoretical solutions for linear material with simple boundary conditions.

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