• 제목/요약/키워드: Force equilibrium

검색결과 510건 처리시간 0.029초

유한요소법을 이용한 축대칭 다단계 딥드로잉 금형 설계 해석 (Axisymmetric Multi-Stage Deep Drawing Die Design Analysis Using Finite Element Method)

  • 이동호;이승열;금영탁
    • 소성∙가공
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    • 제7권6호
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    • pp.594-602
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    • 1998
  • The design analysis of axisymmetric, multi-stage deep drawing dies was performed using the rigid-viscoplastic finite element formulation. In the formulation the axisymmetric CFS algorithm was employed. Hill's non-quadratic normal anisotropic yield criterion and isotropic hardening rule were considered. For trial initial displacements and tool contact points. the geometric force equilibrium method was adopted. In order to see the validity of the formulation, the multi-stage deep drawing processes of shell-cylinder front part of hydraulic booster were simulated. The simulation showed good agreements with measurments and PAM-STAMP results.

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스탬핑 금형의 성형성 평가를 위한 유한요소/기하학힘평형법 프로그램 개발과 응용 (Development and application of FEM/GEM program for evaluating formability of stamping dies)

  • 김종필;금영탁
    • 한국정밀공학회지
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    • 제13권3호
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    • pp.80-93
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    • 1996
  • A 2-dimensional FEM/GEM program was developed under the plane strain assumption using linear line elements for analyzing stretch/draw forming operations of an arbitrarily shaped draw-die. FEM formulation adopted a new algorithm for solving force equilibrium as well as non-penetration condition simultaneously. Also, a rigid-viscoplastic material model with Hill's normal anisotropic yield condition and rate-sensitive hardening law is assumed, along with the Coulomb friction law in the contact regions. For the case of numerical divergence at nearly final forming stages, geometric force equilibrium method(GEM) is also introduced. The developed program was tested by simulating the forming processes of cylindrical punch/open die, and the drawing processes of automotive oilpan and hood inner panel in order to verify the usefulness and validity of FEM/GEM formulation. The numerical simulation verified the validity and robustness of developed program.

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자성유체에 잠긴 비자성체 부상현상의 다중물리수치해석 및 실험 (A Multi-physics Simulation and Measurement for Buoyancy of Nonmagnetic Solid Object Submerged in Magnetic Liquid)

  • 최홍순
    • 전기학회논문지
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    • 제62권1호
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    • pp.43-48
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    • 2013
  • In this paper, magnetic buoyancy force on nonmagnetic solid object submerged in magnetic liquid was simulated and measured. For the evaluation of the force, a multi-physics approach of hydrostatic equilibrium considering magnetic body force as well as gravity is presented. The magnetic body force should be regarded as an additional forcing term in the momentum equation of hydrodynamics. It is also shown that the virtual air-gap based Kelvin's force formula is a useful method for the calculation of force distribution in the magnetic liquid. The experimental result which was performed by a load-cell measurement system agreed quantitatively well with the numerical one.

사장교 시스템의 실용적인 초기형상 결정법 (Practical Determination Method of Initial Cable Forces in Cable-Stayed Bridges)

  • 송요한;김문영
    • 한국전산구조공학회논문집
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    • 제24권1호
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    • pp.87-95
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    • 2011
  • 본 논문에서는 비선형해석이라는 복잡한 과정을 거치지 않고도 사장교 시스템의 초기형상을 효율적이고 합리적으로 결정하는 방법을 제시하고자 한다. 사장교 시스템의 초기형상해석이라 함은 주형의 수직 처짐과 휨모멘트, 주탑의 수평변위와 휨모멘트를 최소화하면서, 고정하중과 평형을 이룰 수 있는 케이블의 장력과 무응력길이를 결정하는 방법으로 이때, 케이블이 정착되는 주형의 수평위치, 주탑의 수직위치가 변하지 않아야 한다. 본 연구에서는 주형과 주탑의 케이블 정착부에서 힘의 평형조건을 이용하여 주형의 수직 처짐과 주탑의 수평변위를 효과적으로 제어할 수 있는 장력 산정법을 사장교의 형태별로 정리하여 제시하였으며, 2차원 사장교 예제들에 대하여 기존 연구의 방법들과 장력, 주형의 모멘트와 처짐 등을 비교하였다. 또한 3차원 실교량에 대해 Improved TCUD법으로 초기형상해석을 수행하여 그 결과와 비교함으로서 본 방법의 정확성을 입증하고자 하였다.

Analytical Approach of Sliding Installation Method with Spar Structure

  • Lee, Jong-Hyun
    • 한국항해항만학회지
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    • 제35권7호
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    • pp.575-580
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    • 2011
  • It is important to understand the trajectory of structure in launching process because of the short time of launching process may result in unexpected accidents or damage to structures. The high risk of structural failure is not avoidable without the fully comprehension of changing forces in launching procedure. The commercial software can evaluate the motion of launching event in calm water condition but there is the limitation of research application because of the programmed commercial software. The launching process of the spar hull is suggested with stage concept that is divided into 10 stages in time domain. A force equilibrium diagram is derived for each stage where the changes of force vector and motion characteristics take place. In particular, the effects of changes in buoyancy and drag force due to the progressive submergence of the spar hull are taken into account by means of a touch length concept. The results contained in this paper provide the valuable information of the trajectory motion evaluation with suggested methods in spar launching process with sliding barge. Furthermore, the presented stage concept and touch length concept will provide basic knowledge for understanding launching process and help to develop further research area for launching analysis.

Computational methodology to determine the strength of reinforced concrete joint

  • Sasmal, Saptarshi;Vishnu Pradeesh, L.;Devi, A. Kanchana;Ramanjaneyulu, K.
    • Advances in Computational Design
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    • 제1권1호
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    • pp.61-77
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    • 2016
  • Seismic performance of structures depends on the force flow mechanism inside the structure. Discontinuity regions, like beam-column joints, are often affected during earthquake event due to the complex and discontinuous load paths. The evaluation of shear strength and identification of failure mode of the joint region are helpful to (i) define the strength hierarchy of the beam-column sub-assemblage, (ii) quantify the influence of different parameters on the behaviour of beam-column joint and, (iii) develop suitable and adequate strengthening scheme for the joints, if required, to obtain the desired strength hierarchy. In view of this, it is very important to estimate the joint shear strength and identify the failure modes of the joint region as it is the most critical part in any beam-column sub-assemblage. One of the most effective models is softened strut and tie model which was developed by incorporating force equilibrium, strain compatibility and constitutive laws of cracked reinforced concrete. In this study, softened strut and tie model, which incorporates force equilibrium equations, compatibility conditions and material constitutive relation of the cracked concrete, are used to simulate the shear strength behaviour and to identify failure mechanisms of the beam-column joints. The observations of the present study will be helpful to arrive at the design strategy of the joints to ensure the desired failure mechanism and strength hierarchy to achieve sustainability of structural systems under seismic loading.

정전기력을 이용한 미소기전 구동기의 고유치 변화 해석에 관한 연구 (Numerical Approach for Frequency-Shifting Analysis of Electrostatic Micro-Mechanial Actuator)

  • 이완술;권기찬;김봉규;조지현;윤성기
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.854-859
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    • 2001
  • An eigenvalue analysis of a tunable micro-mechanical actuator is presented. The actuator is modeled as a continuum structure. The eigenvalue modified by the tuning voltage is computed through the linearization of the relation between the electrostatic force and the displacement at the equilibrium. A staggered algorithm is employed to perform the coupled analysis of the electrostatic and elastic fields. The stiffness matrix of the actuator is modified at this equilibrium state. The displacement field is perturbed using an eigenmode profile of the actuator. The configuration change of the actuator due to perturbation modifies the electrostatic field and thus the electrostatic force. The equivalent stiffness matrix corresponding to the perturbation and the change in the electrostatic force is then added to stiffness matrix in order to explain natural frequency shifting. The numerical examples are presented and compared with the experiments in the literatures.

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Exact solution of a thick walled functionally graded piezoelectric cylinder under mechanical, thermal and electrical loads in the magnetic field

  • Arefi, M.;Rahimi, G.H.;Khoshgoftar, M.J.
    • Smart Structures and Systems
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    • 제9권5호
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    • pp.427-439
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    • 2012
  • The present paper deals with the analytical solution of a functionally graded piezoelectric (FGP) cylinder in the magnetic field under mechanical, thermal and electrical loads. All mechanical, thermal and electrical properties except Poisson ratio can be varied continuously and gradually along the thickness direction of the cylinder based on a power function. The cylinder is assumed to be axisymmetric. Steady state heat transfer equation is solved by considering the appropriate boundary conditions. Using Maxwell electro dynamic equation and assumed magnetic field along the axis of the cylinder, Lorentz's force due to magnetic field is evaluated for non homogenous state. This force can be employed as a body force in the equilibrium equation. Equilibrium and Maxwell equations are two fundamental equations for analysis of the problem. Comprehensive solution of Maxwell equation is considered in the present paper for general states of non homogeneity. Solution of governing equations may be obtained using solution of the characteristic equation of the system. Achieved results indicate that with increasing the non homogenous index, different mechanical and electrical components present different behaviors along the thickness direction. FGP can control the distribution of the mechanical and electrical components in various structures with good precision. For intelligent properties of functionally graded piezoelectric materials, these materials can be used as an actuator, sensor or a component of piezo motor in electromechanical systems.

The expanded LE Morgenstern-Price method for slope stability analysis based on a force-displacement coupled mode

  • Deng, Dong-ping;Lu, Kuan;Wen, Sha-sha;Li, Liang
    • Geomechanics and Engineering
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    • 제23권4호
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    • pp.313-325
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    • 2020
  • Slope displacement and factor of safety (FOS) of a slope are two aspects that reflect the stability of a slope. However, the traditional limit equilibrium (LE) methods only give the result of the slope FOS and cannot be used to solve for the slope displacement. Therefore, developing a LE method to obtain the results of the slope FOS and slope displacement has significance for engineering applications. Based on a force-displacement coupled mode, this work expands the LE Morgenstern-Price (M-P) method. Except for the mechanical equilibrium conditions of a sliding body adopted in the traditional M-P method, the present method introduces a nonlinear model of the shear stress and shear displacement. Moreover, the energy equation satisfied by a sliding body under a small slope displacement is also applied. Therefore, the double solutions of the slope FOS and horizontal slope displacement are established. Furthermore, the flow chart for the expanded LE M-P method is given. By comparisons and analyses of slope examples, the present method has close results with previous research and numerical simulation methods, thus verifying the feasibility of the present method. Thereafter, from the parametric analysis, the following conclusions are obtained: (1) the shear displacement parameters of the soil affect the horizontal slope displacement but have little effect on the slope FOS; and (2) the curves of the horizontal slope displacement vs. the minimum slope FOS could be fitted by a hyperbolic model, which would be beneficial to obtain the horizontal slope displacement for the slope in the critical state.

암석시료 내 동적하중 분배특성이 동적일축압축강도에 미치는 영향성에 관한 연구 (The influence of dynamic force balance on the estimation of dynamic uniaxial compression strength)

  • 오세욱;민경조;박세웅;박훈;석철기;조상호
    • 화약ㆍ발파
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    • 제37권1호
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    • pp.14-23
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    • 2019
  • 암석이나 콘크리트와 같은 취성재료의 경우에는 역학적 강도의 하중속도 의존성을 보임에 따라 발파 및 충격해석에 있어 이를 반영코자 하는 노력이 증가하고 있다. 이와 같은 암석의 동적강도의 경우에는 순간적으로 높은 하중이 작용하는 동적하중의 가압특성에 따라 시험편 내의 응력평형상태를 고려한 평가가 수행되어야함이 제안된 바 있다. 본 연구에서는 스플릿 홉킨슨 압력봉 장비를 이용한 포천 화강암의 동적일축압축강도 실험을 통해 응력평형조건의 충족 유무에 따른 암석의 동적파괴과정 및 역학적 강도특성에 대해 고찰하였다. 연구결과 적절한 응력평형상태가 이루어지진 않은 상태에서 평가된 암석의 동적일축압축강도는 상대적으로 과소평가되는 것으로 나타났으며, 이는 하중의 가압면에서 발생하는 조기파괴에 따른 에너지 파괴에너지 손실 및 변형률속도 과대평가에 의한 것으로 판단되었다. 결론적으로 합리적인 동적강도 평가를 위해서는 암석의 변형거동특성에 대한 분석 및 파괴패턴에 대한 검토를 통한 응력평형조건의 세밀한 검증이 수반되어야 할 것으로 판단하였다.