• 제목/요약/키워드: theory of constraints

검색결과 479건 처리시간 0.021초

A New Hybrid-Mixed Composite Laminated Curved Beam Element

  • Lee Ho-Cheol;Kim Jin-Gon
    • Journal of Mechanical Science and Technology
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    • 제19권3호
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    • pp.811-819
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    • 2005
  • In this study, we present a new efficient hybrid-mixed composite laminated curved beam element. The present element, which is based on the Hellinger-Reissner variational principle and the first-order shear deformation lamination theory, employs consistent stress parameters corresponding to cubic displacement polynomials with additional nodeless degrees in order to resolve the numerical difficulties due to the spurious constraints. The stress parameters are eliminated and the nodeless degrees are condensed out to obtain the ($6{\times}6$) element stiffness matrix. The present study also incorporates the straightforward prediction of interlaminar stresses from equilibrium equations. Several numerical examples confirm the superior behavior of the present composite laminated curved beam element.

균일분포 온도하의 두꺼운 복합 재료 적층판의 열적 좌굴 해석 (Thermal Buckling of Thick Laminated Composite Plates under Uniform Temperature Distribution)

  • 이영신;이열화;양명석;박복선;이종수
    • 대한기계학회논문집
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    • 제17권7호
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    • pp.1686-1699
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    • 1993
  • In this paper, the thermal buckling of thick composite angle-ply laminates subject to uniform temperature distribution is studied. For the plates of 4-edges simply supported condition and those of 4-edges clamped condition, the critical buckling temperatue is derived, using tile finite element method based on the shear deformation theory. The effects of lamination angle, layer number, laminate thickness, plate aspect ratio and boundary constraints upon the critical buckling temperature are presented.

유한요소 역 해석을 이용한 축대칭 다단계 박판성형에서의 공정변수 설계에 관한 연구 (Design of Porcess Parameters in Axisymmetric Multi-step Deep Drawing by a Finite Element Inverse Method)

  • 조천수;이충호;허훈
    • 소성∙가공
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    • 제6권4호
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    • pp.300-310
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    • 1997
  • A finite element inverse method is introduced for direct prediction of blank shapes, strain distributions, and reliable intermediate shapes from desired final shapes in axisymmetric multi-step deep drawing processes. This mothod enables the determination of process disign. The approach deals with the Hencky's deformation theory. Hill's second order yield criterion, simplified boundary conditions, and minimization of plastic work with constraints. The algorithm developed is applied to motor case forming, and cylindrical cup drawing with the large limit drawing ratio so that it confirms its validity by demonstrating resonably accurate numerical results of each problem. Numerical examples reveal the reason of difficulties in motor case forming with corresponding limit diagrams.

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변형률속도 효과를 고려한 AZ31B 판재의 온간 성형한계도 예측 (Prediction of the Forming Limit Diagram for AZ31B Sheet at Elevated Temperatures Considering the Strain-rate Effect)

  • 최선철;김형종
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2009년도 춘계학술대회 논문집
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    • pp.172-175
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    • 2009
  • The purpose of this study is to predict the forming limit diagram (FLD) of strain-rate sensitive materials on the basis of the Marciniak and Kuczynski (M-K) theory. The strain-rate effect is taken into consideration in such a way that the stress-strain curves for various strain-rates are inputted into the formulation as point data, not as curve-fitted models such as power function. To solve the nonlinear system of equations derived from the equilibrium and constraints in the groove region and the safe zone, the Newton-Raphson method is used. The theoretical FLDs using four different yield criteria, that are von Mises, Hill (1948), Hill (1979), Logan and Hosford, are compared with the experimental, numerical (FEA) and other theoretical results. A new trial is made where a modified M-K model having n-step grooves is introduced to describe a real localized neck.

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A Four Pole, Double Plane, Permanent Magnet Biased Homopolar Magnetic Bearing with Fault-Tolerant Capability

  • Na, Uhn-Joo
    • 한국산업융합학회 논문집
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    • 제24권6_1호
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    • pp.659-667
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    • 2021
  • This paper develops the theory for a novel fault-tolerant, permanent magnet biased, 4-active-pole, double plane, homopolar magnetic bearing. The Lagrange Multiplier optimization with equality constraints is utilized to calculate the optimal distribution matrices for the failed bearing. If any of the 4 coils fail, the remaining three coil currents change via a novel distribution matrix such that the same opposing pole, C-core type, control fluxes as those of the un-failed bearing are produced. Magnetic flux coupling in the magnetic bearing core and the optimal current distribution helps to produce the same c-core fluxes as those of unfailed bearing even if one coil suddenly fails. Thus the magnetic forces and the load capacity of the bearing remain invariant throughout the failure event. It is shown that the control fluxes to each active pole planes are successfully isolated. A numerical example is provided to illustrate the new theory.

A Six Pole Permanent Magnet Biased Homopolar Magnetic Bearing with Fault-Tolerant Capability

  • Uhn Joo Na
    • 한국산업융합학회 논문집
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    • 제26권2_1호
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    • pp.231-238
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    • 2023
  • This paper develops the theory for a novel fault-tolerant, permanent magnet biased, 6-active-pole, homopolar magnetic bearing. The Lagrange Multiplier optimization with equality constraints is utilized to calculate the optimal distribution matrices for the failed bearing. some numerical examples of distribution matrices are provided to illustrate the new theory. Simulations show that very much the same dynamic responses (orbits or displacements) are maintained throughout failure events (up to any combination of 3 coils failed for the 6 pole magnetic bearing) while currents and fluxes change significantly. The overall load capacity of the bearing actuator is reduced as coils fail. The same magnetic forces are then preserved up to the load capacity of the failed bearing.

발전입찰경쟁에서의 가격결정에 관한 분석 (Analysis of Price-Clearing in the Generation Bidding Competition)

  • 정구형;강동주;김발호;전영환
    • 대한전기학회논문지:전력기술부문A
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    • 제53권1호
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    • pp.56-66
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    • 2004
  • As deregulation evolves, pricing electricity becomes a major issue in the electric industry. Participants of competitive marketplace are able to improve their profits substantially by adequately pricing the electricity. In this paper, game theory is applied to analyze the price-clearing in the generation bidding competition and the competition is modeled as the noncooperative and complete information. The result of this analysis can be useful in understanding spot price-clearing of electricity and generating entity's strategic behavior in the competitive electricity market.

퍼지 이론을 이용한 복합재 적층판의 최적설계 (Optimization of Composite Laminated Plate Using Fuzzy Set Theory)

  • 홍영기;이종호;구만회;우호길
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 1999년도 추계학술발표대회 논문집
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    • pp.63-67
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    • 1999
  • This paper presents the optimization of CFRP laminated rectangular plates using fuzzy theory. In optimization, thickness of CFRP lamina and fiber angle are taken as design variables, and total thickness of the plates is minimized under Tsai-Hill failure criterion. The uncertainties are entered by introducing fuzzy material strengths and then the objective and constraints are represented by a membership function of their own according to the intersection method. Various design results are presented for the CFRP laminated composites plates.

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자기연성을 이용한 동극형 자기베어링의 고장강건 제어 (Fault Tolerant Homopolar Magnetic Bearings with Flux Coupling)

  • 나언주
    • 한국정밀공학회지
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    • 제25권3호
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    • pp.83-92
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    • 2008
  • This paper develops the theory for a fault-tolerant, permanent magnet biased, homopolar magnetic bearing. If some of the coils or power amplifiers suddenly fail, the remaining coil currents change via a novel distribution matrix such that the same magnetic forces are maintained before and after failure. Lagrange multiplier optimization with equality constraints is utilized to calculate the optimal distribution matrix that maximizes the load capacity of the failed bearing. Some numerical examples of distribution matrices are provided to illustrate the theory. Simulations show that very much the same dynamic responses (orbits or displacements) are maintained throughout failure events (up to any combination of 3 coils failed for the 6 pole magnetic bearing) while currents and fluxes change significantly. The overall load capacity of the bearing actuator is reduced as coils fail. The same magnetic forces are then preserved up to the load capacity of the failed.

Winkler형 지반위에 놓인 수평 곡선보의 자유진동 (Free Vibrations of Horizontally Curved Beams Resting on Winkler-Type Foundations)

  • 오상진;이병구;이인원
    • 소음진동
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    • 제8권3호
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    • pp.524-532
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    • 1998
  • The purpose of this paper is to investigate the free vibrations of horizontally curved beams resting on Winkler-type foundations. Based on the classical Bernoulli-Euler beam theory, the governing differential equations for circular curved beams are derived and solved numerically. Hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered in numerical examples. The free vibration frequencies calculated using the present analysis have been compared with the finite element's results computed by the software ADINA. Numerical results are presented to show the effects on the natural frequencies of curved beams of the horizontal rise to span length ratio, the foundation parameter, and the width ratio of contact area between the beam and foundation.

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