• 제목/요약/키워드: Stable Equilibrium

검색결과 295건 처리시간 0.024초

Postbuckling strength of an axially compressed elastic circular cylinder with all symmetry broken

  • Fujii, Fumio;Noguchi, Hirohisa
    • Structural Engineering and Mechanics
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    • 제11권2호
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    • pp.199-210
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    • 2001
  • Axially compressed circular cylinders repeat symmetry-breaking bifurcation in the postbuckling region. There exist stable equilibria with all symmetry broken in the buckled configuration, and the minimum postbuckling strength is attained at the deep bottom of closely spaced equilibrium branches. The load level corresponding to such postbuckling stable solutions is usually much lower than the initial buckling load and may serve as a strength limit in shell stability design. The primary concern in the present paper is to compute these possible postbuckling stable solutions at the deep bottom of the postbuckling region. Two computational approaches are used for this purpose. One is the application of individual procedures in computational bifurcation theory. Path-tracing, pinpointing bifurcation points and (local) branch-switching are all applied to follow carefully the postbuckling branches with the decreasing load in order to attain the target at the bottom of the postbuckling region. The buckled shell configuration loses its symmetry stepwise after each (local) branch-switching procedure. The other is to introduce the idea of path jumping (namely, generalized global branch-switching) with static imperfection. The static response of the cylinder under two-parameter loading is computed to enable a direct access to postbuckling equilibria from the prebuckling state. In the numerical example of an elastic perfect circular cylinder, stable postbuckling solutions are computed in these two approaches. It is demonstrated that a direct path jump from the undeformed state to postbuckling stable equilibria is possible for an appropriate choice of static perturbations.

평형하상(平衡河床) 개념(槪念)과 공식(公式)의 하천실무(河川實務)에의 적용성(適用性)의 재고찰(再考察) (A Re-examination of the Applicability of the Concept and Formulas of Equilibrium Riverbed Slope to River Engineering Practice)

  • 우효섭;유권규
    • 대한토목학회논문집
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    • 제12권2호
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    • pp.101-108
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    • 1992
  • 평형하상(平衡河床) 개념의 하천 실무에의 적용성 및 우리나라에서 평형하상경사를 추정하기 위해 널리 사용되어온 '안예(安藝)공식' 및 '물부(物部)공식'의 타당성에 대해 재고찰한다. 평형하천이란 장기간에 걸쳐 하천의 지배적인 수리(水理) 특성하에서 상류에서 공급되는 유사의 이송에 꼭 필요한 만큼의 유속이 생기도록 자연적으로 하상경사가 조정되어 실질적인 하상의 퇴적이나 침식이 없는 하천을 말하며, 평형하상이란 바로 그러한 하천의 하상상태를 지칭한다. 자연 상태에 있는 하천에 소위 '평형하상공식(平衡河床公式)'을 적용하여 그 하천의 하상상태를 분석하는 현재의 하천 실무는 지양되어야 할 것이다. 또한, 하천에서 안정하상 경사를 결정하기 위한 '안예(安藝)공식' 이나 '물부(物部)공식' 같은 소위 '평형하상공식'들은 그 타당성이 의심스러우며, 따라서 이러한 공식들의 하천 실무에의 적용은 지양되어야 할 것이다.

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Static and dynamic stability of a single-degree-of-freedom autonomous system with distinct critical points

  • Sophianopoulos, D.S.
    • Structural Engineering and Mechanics
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    • 제4권5호
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    • pp.529-540
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    • 1996
  • The dynamic buckling mechanism of a single-degree-of-freedom dissipative/nondissipative gradient system is thoroughly studied, employing energy criteria. The model is chosen in such a manner, that its corresponding static response is associated with all types of distinct critical points. Under a suddenly applied load of infinite duration, it is found that dynamic buckling, occurring always through a saddle, leads to an escaped motion, which is finally attracted by remote stable equilibrium positions, belonging sometimes also to complementary paths. Moreover, although the existence of initial imperfection changes the static behaviour of the system from limit point instability to bifurcation, it is established that the proposed model is dynamically stable in the large, regardless of the values of all other parameters involved.

Dynamics and GA-Based Stable Control for a Class of Underactuated Mechanical Systems

  • Liu, Diantong;Guo, Weiping;Yi, Jianqiang
    • International Journal of Control, Automation, and Systems
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    • 제6권1호
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    • pp.35-43
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    • 2008
  • The control of underactuated mechanical system is very complex for the loss of its control inputs. The model of underactuated mechanical systems in a potential field is built with Lagrangian method and its structural properties are analyzed in detail. A genetic algorithm (GA)based stable control approach is proposed for the class of under actuated mechanical systems. The Lyapunov stability theory and system properties are utilized to guarantee the system stability to its equilibrium. The real-valued GA is used to adjust the controller parameters to improve the system performance. This approach is applied to the underactuated double-pendulum-type overhead crane and the simulation results illustrate the complex system dynamics and the validity of the proposed control algorithm.

수입 수산물과 국내산 수산물의 가격간 유통단계별 인과성 분석 : 명태, 갈치, 조기 냉동품을 대상으로 (A Causality Analysis of the Prices between Imported Fisheries and Domestic Fisheries in Distribution Channel)

  • 차영기;김기수
    • 수산경영론집
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    • 제40권2호
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    • pp.105-126
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    • 2009
  • This study applies the cointegration theory to analyse the causality of the prices between imported fisheries and domestic fisheries in distribution channel. We've focused on the prices of import, wholesale and retail about the frozen Alaska pollack, hairtail and croaker which take up high portion and are popular among most of the consumers. In process of analysis, the unit root test was adopted to find the stability of time series data prior to the cointegration test. If the time series data was found as stable one in unit root test, we should analyse the VAR model. If unstable, the cointegratioin test was adopeted to find the long-run equilibrium relationship between the data. When the long-run equilibrium relationship was found among the price of the import, wholesale and retail price, the VECM model was adoped. If not, the differenced VAR model was adopted. The main findings of this study could be summarized as follows ; First, according to the result of the analysis on VAR model, time series data of frozen Alaska pollack was found as stable and has causality relationship and close effect was existing among the import, wholesale and retail price. Second, the data of frozen hairtail was found as an unstable one in unit root test and the result of cointegration test showed the long-run equilibrium relationship at lag 1. From the results of VECM model, we could find that the coefficient of error correction is effective, and the sign is negative(-). It means that the existence of adjustment tendency to long-run equilibrium after a short-run deviation. But the short-run causality of the prices were not found except the price of wholesale. Third, according to the results of differenced VAR model, data from frozen croaker did not have the stability and long-run equilibrium. Moreover, it was found that the import price has a weak causality on the retail price. Because of having difficulties in collecting data, the result of this paper could not explain the relationship among the prices of import, wholesale and retail perfectly. However, it more or less contributed to a long-lasted debate on the direction of causality of price-setting in academic research and provided a useful guide for the policy makers in charge of the price-setting of fisheries products as well.

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공적분벡터의 안정성에 대한 실증연구 (Statistical Tests and Applications for the Stability of an Estimated Cointegrating Vector)

  • 김태호;황성혜;김미연
    • 응용통계연구
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    • 제18권3호
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    • pp.503-519
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    • 2005
  • 공적분검정은 변수들간의 장기적 균형관계에 따른 공적분벡터가 표본기간 동안 일정하다는 가정하에서 실시된다. 따라서 기존의 연구들은 변수들 사이의 공적분관계를 안정적 장기균형관계로 해석해왔으나 장기균형관계가 존재해도 유일하지 않을 수 있으며, 표본기간 중 중요한 사건이 발생하는 경우 이러한 관계에 영향을 미처 안정성이 반드시 성립될 수 없다는 사실은 간과해왔다. 본 연구에서는 추정된 공적분벡터가 안정성을 유지하는가를 확인하기 위해 추가로 통계적 검정을 실시하였다. 공적분회귀모형 모수의 안정성을 검정하는 방식을 세분${\cdot}$체계화하여 공적분백터의 안정성 및 변동형태를 검색하는 실증분석에 적용시켜 보았다.

케로신 연료과잉 예연소기의 연소가스 물성치 예측 (Prediction of Burnt Gas Properties for Kerosene Fuel-rich Preburner)

  • 손민;서민교;구자예
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2011년도 제37회 추계학술대회논문집
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    • pp.123-126
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    • 2011
  • 케로신을 연료로 사용하는 연료 과잉 예연소기는 비평형 연소반응을 하며, 화학평형 해석으로는 정확한 연소가스 물성치 예측이 쉽지 않다. 본 연구에서는 연소 가스 물성치 예측을 위해, 예혼합 대향류 화염 해석을 수행하였다. 케로신 연료의 대표 물성치로 JP10을 선정하였으며, UC San Diego 반응 메커니즘을 사용하여 초임계 조건에서 비평형 연소해석을 수행하였다. 안정적인 화염 확보를 위해 예혼합 추진제의 대향류 화염을 가정하였으며, Huzel의 실험 결과에 비해 온도가 높게 예측 되었다. 이에 따라 비열, 비열비, 분자량 결과에서 차이를 보였으나 화학평형 결과에 비해 실험값과 더 유사한 경향을 보였다.

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Analysis of slope stability based on evaluation of force balance

  • Razdolsky, A.G.;Yankelevsky, D.Z.;Karinski, Y.S.
    • Structural Engineering and Mechanics
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    • 제20권3호
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    • pp.313-334
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    • 2005
  • The paper presents a new approach for the analysis of slope stability that is based on the numerical solution of a differential equation, which describes the thrust force distribution within the potential sliding mass. It is based on the evaluation of the thrust force value at the endpoint of the slip line. A coupled approximation of the slip and thrust lines is applied. The model is based on subdivision of the sliding mass into slices that are normal to the slip line and the equilibrium differential equation is obtained as the slice width approaches zero. Opposed to common iterative limit equilibrium procedures the present method is straightforward and gives an estimate of slope stability at the value of the safety factor prescribed in advance by standard requirements. Considering the location of the thrust line within the soil mass above the trial slip line eliminates the possible development of a tensile thrust force in the stable and critical states of the slope. The location of the upper boundary point of the thrust line is determined by the equilibrium of the upper triangular slice. The method can be applied to any smooth shape of a slip line, i.e., to a slip line without break points. An approximation of the slip and thrust lines by quadratic parabolas is used in the numerical examples for a series of slopes.

The Motion of Plasma in an Excited Quiescent Filament

  • Song, Dong-Uk;Chae, Jong-Chul
    • 천문학회보
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    • 제35권2호
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    • pp.48.2-48.2
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    • 2010
  • Quiescent filaments are bigger, more stable, and longer lived than active region filaments. So, the shape of a quiescent filament changes little during its lifetime and a fast motion of plasma rarely occurs. But when it is dynamically influenced by external phenomena, a rapid motion of plasma may temporarily occur. By analyzing the motion of plasma we can infer some of the magnetic structure permeating such an excited quiescent filament. We analyzed the H$\alpha$ images of a quiescent filament in the northern hemisphere that was observed at Big Bear Solar Observatory on 2004 August 2, and found that: 1) the filament was excited by a flare that occurred in a remote active region located in the southern hemisphere, 2) By this excitation, a part of the filament moved vertically upward and horizontally out of main body, and then it stayed there without much motion. Then after it moved vertically downward and horizontally to the main body, 3) the final position of plasma, however, was not the same as the initial position, being about 14Mm above it. We suggest that the filament was initially in a more or less static equilibrium. The excitation of the filament broke the initial equilibrium, and then brought about a new one that is different from the original one. Since the filament should have magnetic field, it is likely that both the equilibria may have been maintained by diplike magnetic structures. Furthermore, the transition from one equilibrium to another as we inferred should have accompanied a permanent change of magnetic configuration as well.

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비접촉식 웨이퍼 그리퍼용 공압 파지식 헤드 설계 (Design of the Air Pressure Pick-up Head for Non-Contact Wafer Gripper)

  • 김준현
    • 한국생산제조학회지
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    • 제21권3호
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    • pp.401-407
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    • 2012
  • The recent manufacturing process in the thin wafers and flat panel necessitate new approaches to reduce handling fragile and surface-sensitive damage of components. This paper presents a new pneumatic levitation for non-contact handling of parts and substrates. This levitation can achieve non-contact handling by blowing air into an air pressure pick-up head with radial passages to generate a negative pressure region. Negative pressure is caused by the radial air flow by nozzle throat and through holes connecting to the bottom region. The numerical analysis deals with the levitational motion with different design factors. The dynamic motion is examined in terms of force balance(dynamic equilibrium) occurring to the flow field between two objects. The stable equilibrium position and the safe separation distance are determined by analyzing the local pressure distribution in the fluid motion. They make considerable design factors consisting the air pressure pick-up head. As a result, in case that the safe separation distance is beyond 0.7mm, the proposed pick-up head can levitate stably at the equilibrium position. Furthermore, it can provide little effect of torque, and obtain more wide picking region according to the head size.