• Title/Summary/Keyword: force formulation

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Sectonal Forming Analysis of Stamping Processes of Aluminum Alloy Sheet Metals (알루미늄 합금 박판 스탬핑 공정의 단면 성형 해석)

  • 이광병;이승열;금영탁
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1996.10a
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    • pp.38-47
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    • 1996
  • Sectional analysis program for plane strain or axisymmetric geometry of aluminum alloy sheet metals was developed. For modeling the anomalous behavior of aluminum alloy, Barlat's strain rate potential and Hill's 1990 non-quadratic yield theory arranged under the plane stress assumption were employed. 2-D rigid-viscoplastic FEM formulation based on the bending-augmented membrane theory was derived, solving simultaneously force equilibrium as well as non-penetration condition. Isotropic hardening law was also assumed for yielding behavior. To verify the validity and availability of the developed program, 2-D stretch/draw forming process for plane strain geometry and cylindrical cup deep drawing process for axisymmetric geometry were simulated.

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A Study on Prediction of vibration and Sound Radiation by Plate With Four Edges Clamped (네 변이 고정된 평판의 진동 및 방사 소음 예측에 관한 연구)

  • 심현진;이정윤;오재응
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.743-747
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    • 2003
  • In recent years, several studies of the practical application of active sound and vibration control have been developed to plate to plate response with various boundary conditions. This study considers vibration and sound radiation for the clamped rectangular plate. The radiation of a sound from rectangular plate can be calculated that the velocity of a vibrating plate is analyzed. The vibration formulation is based on a variation method for the vibration of the plate, and assumes no damping, no fluid loading of the structure. And the plate is exited by harmonic point force. The radiation of sound from plate is analyzed in the far field, and is calculated from the Rayleigh integral. The prediction results of vibration and sound level have proved with FEM or BEM.

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Computer Simulation of Hemispherical Sheet Forming Process Using Crystal Plasticity (결정 소성학을 이용한 반구 박판 성형공정의 전산모사)

  • Shim, J.G.;Keum, Y.T.
    • Transactions of Materials Processing
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    • v.16 no.4 s.94
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    • pp.276-281
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    • 2007
  • The hardening and the constitutive equation based on the crystal plasticity are introduced for the numerical simulation of hemispherical sheet metal forming. For calculating the deformation and the stress of the crystal, Taylor's model of the crystalline aggregate is employed. The hardening is evaluated by using the Taylor factor, the critical resolved shear stress of the slip system, and the sum of the crystallographic shears. During the hemispherical forming process, the texture of the sheet metal is evolved by the plastic deformation of the crystal. By calculating the Euler angles of the BCC sheet, the texture evolution of the sheet is traced during the forming process. Deformation texture of the BCC sheet is represented by using the pole figure. The comparison of the strain distribution and punch force in the hemispherical forming process between the prediction using crystal plasticity and experiment shows the verification of the crystal plasticity-based formulation and the accuracy of the hardening and constitutive equation obtained from the crystal plasticity.

Optimal control and design of composite laminated piezoelectric plates

  • ALamir, ALhadi E.
    • Smart Structures and Systems
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    • v.15 no.5
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    • pp.1177-1202
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    • 2015
  • The present paper is concerned with the optimal control and/or design of symmetric and antisymmetric composite laminate with two piezoelectric layers bonded to the opposite surfaces of the laminate, and placed symmetrically with respect to the middle plane. For the optimal control problem, Liapunov-Bellman theory is used to minimize the dynamic response of the laminate. The dynamic response of the laminate comprises a weight sum of the control objective (the total vibrational energy) and a penalty functional including the control force. Simultaneously with the active control, thicknesses and the orientation angles of layers are taken as design variables to achieve optimum design. The formulation is based on various plate theories for various boundary conditions. Explicit solutions for the control function and controlled deflections are obtained in forms of double series. Numerical results are given to demonstrate the effectiveness of the proposed control and design mechanism, and to investigate the effects of various laminate parameters on the control and design process.

Safety Assessment of Cracked Prestressed concrete Cylinder Pipes (균열손상을 입은 프리스트레스트 콘크리트관의 안전도분석)

  • Kim, Young Jin;Lee, Sang Min;Lee, Ki Seong
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.2 no.3
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    • pp.168-175
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    • 1998
  • This study investigated the structural performance of the precast prestressed cylinder pipe having cracked under construction. The finite element formulation of PPC pipe incorporates Asoild elements using SAP90 program and the radial prestress force was transformed into the eqivalent external pressure. The analytical results were compared with the experimental results of full scale tests on PPC pipes subjected to static load. It is shown that the proposed modelling gives a realistic represention of the actual behavior. The analytical procedure is used to calculate the stresses in the PPC pipes and to check the crack opening under various situations such as bedding angle, earth pressure, and earth cover. Finally, the proposed modelling and analytical procedure should be especially usefull for the safety assessment of the PPC pipes under general loading conditions.

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A study on the rotating machine characteristics drived by chopper (초퍼 회로를 사용한 회전기계의 특성해석에 관한 연구)

  • 이승원
    • 전기의세계
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    • v.29 no.6
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    • pp.393-400
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    • 1980
  • It is shown in this paper that it is possible to derive generalized state equations for computation of electrical circults constanining SCR and diode elements. Revankar's binary logic variable method is used for formulation of the state equation of chopper circuit. Advantage of this method is that the state equations can be set up without the exact knowledge of the circuit operaton. The different modes of operation of the circuit are identified by the computer itself. By applying this method, the steady state performances of separately excited chopper-fed dc motor considering the counter electromotive force of the motor are investigated and the results of the computer simulation are presented. There is a satisfactory agreement between the theoretical and experimental results.

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Approximate analyses of reinforced concrete slabs

  • Vecchio, F.J.;Tata, M.
    • Structural Engineering and Mechanics
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    • v.8 no.1
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    • pp.1-18
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    • 1999
  • Procedures are investigated by which nonlinear finite element shell analysis algorithms can be simplified to provide more cost effective approximate analyses of orthogonally-reinforced concrete flat plate structures. Two alternative effective stiffness formulations, and an unbalanced force formulation, are described. These are then implemented into a nonlinear shell analysis algorithm. Nonlinear geometry, three-dimensional layered stress analyses, and other general formulations are bypassed to reduce the computational burden. In application to standard patch test problems, these simplified approximate analysis procedures are shown to provide reasonable accuracy while significantly reducing the computational effort. Corroboration studies using various simple and complex test specimens provide an indication of the relative accuracy of the constitutive models utilized. The studies also point to the limitations of the approximate formulations, and identify situations where one should revert back to full nonlinear shell analyses.

Steady-state Equilibrium Analysis of a Multibody System Driven by Constant Generalized Speeds (일정 일반속력으로 구동되는 다물체계의 정상상태의 평형해석)

  • Choi, D.H.;Park, J.H.;Yoo, H.H.
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.465-470
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    • 2001
  • This paper presents an algorithm which seeks steady-state equilibrium positions of constrained multibody systems driven by constant generalized speeds. Since the relative coordinates are employed, the constraint equations at cut joints are incorporated into the formulation. The proposed algorithm leads to nonlinear equations that need to be solved iteratively. This algorithm should satisfy both types of conditions: the force equilibrium equations and the kinematic constraint equations. To verify the effectiveness of the proposed algorithm, two numerical examples are solved and the results are compared with those of a commercial program. This method, compared to the conventional method of using dynamic analysis, has the advantage of computational efficiency and stability.

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Numerical simulation of transient laminar compressible convection in a rectangular enclosure (사각형(四角形) 밀폐공간내(密閉空間內)의 과도(過度) 층류(層流) 압축성(壓縮性) 자연(自然) 대류(對流)에 관(關)한 수치해석적(數値解析的) 연구(硏究))

  • Kim, Byung-Yong
    • Solar Energy
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    • v.2 no.1
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    • pp.9-16
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    • 1982
  • The problem of transient laminar natural convection in compressible fluid in a rectangular enclosure is considered. The upper and lower boundaries of the enclosure are thermally insulating and the side boundaries are maintained at fixed temperatures. The fluid is considered to be a perfect gas with constant viscosity and thermal conductivity and the formulation differs from the boussinesq simplification in that the effects of variable density are completely retained. The motions are restricted to two dimensions. For incompressible fluid, the natural convection is driven mainly by buoyancy force. But the solutions show that for compressible fluid, the natural convection is driven by pressure and buoyancy forces and the thermally induced motion is acoustic in nature.

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Coupld Free Lateral Vibration Analysis of Shafting by the Finite Element Method (유한요소법(有限要素法)에 의(依)한 축계(軸系)의 연성자유횡진동해석(聯成自由橫振動解析)에 관(關)한 연구(硏究))

  • Si-Young,Ahn
    • Bulletin of the Society of Naval Architects of Korea
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    • v.23 no.4
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    • pp.19-24
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    • 1986
  • Coupled lateral vibrations of shafting is analyzed by the Finite Element Method. In the problem formulation axial force, elastic foundation effects and rotary inertia effects are taken into account. A computer program is developed to calculate natural frequencies of the shafting, and used to calculate natural frequencies of the experimental model shafting, which the author used for the paper[11]. The results show good agreement with the measured values. The results are also compared with those of the Transfer Matrix Method. From the comparison it is found that both results agree each other.

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