• Title/Summary/Keyword: equilibrium position

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Large deflection of simple variable-arc-length beam subjected to a point load

  • Chucheepsakul, S.;Thepphitak, G.;Wang, C.M.
    • Structural Engineering and Mechanics
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    • v.4 no.1
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    • pp.49-59
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    • 1996
  • This paper considers large deflection problem of a simply supported beam with variable are length subjected to a point load. The beam has one of its ends hinged and at a fixed distance from this end propped by a frictionless support over which the beam can slide freely. This highly nonlinear flexural problem is solved by elliptic-integral method and shooting-optimization technique, thereby providing independent checks on the new solutions. Because the beam can slide freely over the frictionless support, there is a maximum or critical load which the beam can carry and it is dependent on the position of the load. Interestingly, two possible equilibrium configurations can be obtained for a given load magnitude which is less than the critical value. The maximum arc-length was found to be equal to about 2.19 times the fixed distance between the supports and this value is independent of the load position.

Control of a Rotary Double Inverted Pendulum using LQR Control Algorithm (LQR 제어 알고리즘을 이용한 원운동형 2축 도립 진자의 제어)

  • Hwang, Eon-Du;Park, Min-Ho;Lee, Sang-Hyuk
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2240-2242
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    • 2001
  • A rotary double inverted pendulum, the nonlinear system has a regulation problem. In this paper, we linearize the nonlinear system at the upright equilibrium position. The linearized system can be expressed in state space. To maintain the upright position, we design a feedback controller using LQR(Linear Quadratic Regulator) algorithm. Then we simulate the system with third-order Adams Bashforth Moulton Method. The simulated result shows that the applied algorithm is effective for the regulation problem.

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A Study on the Optimal Position for the Secondary Neutron Source in Pressurized Water Reactors

  • Sun, Jungwon;Yahya, Mohd-Syukri;Kim, Yonghee
    • Nuclear Engineering and Technology
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    • v.48 no.6
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    • pp.1291-1302
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    • 2016
  • This paper presents a new and efficient scheme to determine the optimal neutron source position in a model near-equilibrium pressurized water reactor, which is based on the OPR1000 Hanul Unit 3 Cycle 7 configuration. The proposed scheme particularly assigns importance of source positions according to the local adjoint flux distribution. In this research, detailed pin-by-pin reactor adjoint fluxes are determined by using the Monte Carlo KENO-VI code from solutions of the reactor homogeneous critical adjoint transport equations. The adjoint fluxes at each allowable source position are subsequently ranked to yield four candidate positions with the four highest adjoint fluxes. The study next simulates ex-core detector responses using the Monte Carlo MAVRIC code by assuming a neutron source is installed in one of the four candidate positions. The calculation is repeated for all positions. These detector responses are later converted into an inverse count rate ratio curve for each candidate source position. The study confirms that the optimal source position is the one with very high adjoint fluxes and detector responses, which is interestingly the original source position in the OPR1000 core, as it yields an inverse count rate ratio curve closest to the traditional 1/M line. The current work also clearly demonstrates that the proposed adjoint flux-based approach can be used to efficiently determine the optimal geometry for a neutron source and a detector in a modern pressurized water reactor core.

Position and load-swing control of a 2-dimensional overhead crane (2차원 천정크레인의 위치 및 이송물의 흔들림제어)

  • Lee, Ho-Hoon;Cho, Sung-Kun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.10
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    • pp.1683-1693
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    • 1997
  • In this paper, a new nonlinear dynamic model is derived for a 2-dimensional overhead crane based on a new definition of 2-degree-of-freedom swing angle, and a new anti-swing control law is proposed for the crane. The dynamic model and control law take simultaneous travel and traverse motions of the crane into consideration. The model is first linearized for small motions of the crane load about the vertical stable equilibrium. Then the model becomes decoupled and symmetric with respect to the travel and traverse axes of the crane. From this result, a decoupled anti-swing control law is proposed based on the linearized model via the loop shaping and root locus methods. This decoupled method guarantees not only fast damping of load-swing but also zero steady state position error with optimal transient response for the 2-dimensional motion of the crane. Finally, the proposed control method is evaluated by controlling the simultaneous travel and traverse motions of a 2-dimensional prototype overhead crane. The effectiveness of the proposed control method is then proven by the experimental results.

Study on the Correlation Between Physical Function and Forward Head Posture in Spastic Diplegia (경직형 양하지 뇌성마비 아동의 전방머리자세와 신체기능간의 상관관계)

  • Jo, Yong-Eun;Lee, Eun-Ju
    • PNF and Movement
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    • v.19 no.2
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    • pp.163-172
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    • 2021
  • Purpose: This study investigated the correlation between physical function and forward head posture in spastic diplegia. Methods: The subjects of this study were 10 spastic diplegia patients. We took pictures of the subjects' craniovertebral angle with a digital camera to determine the degree of forward head posture and then analyzed them using the NIH image J program. The physical function test used the TCMS, the BBT, and a spirometer. The data in this study were measured using SPSS version 23.0, and the statistical significance level α was 0.05. A Pearson correlation coefficient analysis was performed to identify the correlation between the degree of the subject's head forward position and physical function. Results: When we performed the BBT and spirometer tests, the subjects' forward head postures were not correlated (p < 0.05). However, with the TCMS, there was a strong correlation between the forward position of the head and balance, with balance decreasing as the head position increased (p < 0.05). Conclusion: Spastic diplegia patients with severe forward head posture showed problems with static balance, dynamic balance, and equilibrium reaction when sitting. Intervention on the right posture and preventive activities will be needed to improve the health of spastic diplegia patients and prevent future problems with physical function.

Sea Surface Cold Water near the Southeastern Coast of Korea: Wind Effect (한국(韓國) 남동해안(南東海岸)부근의 해표면(海表面) 냉수(冷水) : 바람의 영향(影響))

  • Byun, Sang-Kyung
    • 한국해양학회지
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    • v.24 no.3
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    • pp.121-131
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    • 1989
  • Cold water observed at sea surface near the southeastern coast of Korea in summers 1982 and 1983 was studied by using data of hydrography, sea level, wind and satellite image. In summer season when water column shows 3-layered structure a "full" upwelling occurs by southwesterly transient wind continuing for several days. During upwelling event, surface water of high temperature moved offshore, middle water of low temperature outcropped to the sea surface, and sea level was lowered, however, equilibrium depth of surface layer was not changed. It may be concluded that cold water at the surface originates from middle layer and strong surface front is a result of surfacing of seasonal thermocline. In order to see the relationship between position of surface front and wind input, a model of Csanady (1982) was applied in a rigid lid approximation. The results show that frontal position can be determined by wind input and water structure near the southeastern coast of Korea. Cold water in summer can appear at the sea surface only when there is wind larger than a minimum wind impulse of order $10m^2/sec$.

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Strategic Trade Policies under International Process R&D Competition with or without Market Leaders

  • Yang, Il-Seok
    • Journal of Korea Trade
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    • v.24 no.2
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    • pp.53-67
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    • 2020
  • Purpose - The purpose of this paper is to study strategic trade policies under international process research and development (R&D) competition with or without market leaders for free trade and a subsidy regime and compare the effects of R&D subsidies and export subsidies on the equilibrium levels of firm profit and social welfare. Design/methodology - For the analysis, we use previous work by Haaland and Kind (2008) and construct a differentiated goods duopoly model, wherein two firms compete via quantity in a third-country market for free trade and the subsidy regime. We consider simultaneous-move quantity competition when the two firms choose their quantities simultaneously and sequential-move quantity competition when they choose their quantities sequentially. The results are compared to those of Balboa, Daughety and Reinganum (2004), who studied export subsidies. Findings - The following are the findings. First, the results of firm preference orderings regarding firm position from Dowrick (1986) and Balboa, Daughety and Reinganum (2004) may not hold in our model when the firms' strategies are strategic substitutes under free trade. Second, the preference rankings under Cournot competition for free trade and a subsidy regime are the same as those in the strategic trade policy of export subsidy. Third, except for the cases of too close substitutes and complements, the results of firm and government preferences regarding firm position are different from those of Balboa, Daughety and Reinganum (2004) in that Stackelberg leadership in a subsidy regime is advantageous when the goods are substitutes but is disadvantageous when the goods are complements. Moreover, the equilibrium level of firm profit is the highest in the Cournot-Nash play when the goods are substitutes in a subsidy regime. Fourth, except for the cases of too close substitutes and complements, the results of firms' and their respective governments' trade regime preferences are similar to those of Balboa, Daughety and Reinganum (2004) in that a Stackelberg leader firm and government prefer free trade if the goods are substitutes and prefer a subsidy regime if the goods are complements. Furthermore, a Stackelberg follower firm and government strongly prefer a subsidy regime to free trade. Originality/value - By analyzing the effects of R&D subsidies and export subsidies in international markets, we can find similarities and differences between them in international markets.

Exact vibration and buckling analyses of arbitrary gradation of nano-higher order rectangular beam

  • Heydari, Abbas
    • Steel and Composite Structures
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    • v.28 no.5
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    • pp.589-606
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    • 2018
  • The previous studies reflected the significant effect of neutral-axis position and coupling of in-plane and out-of-plane displacements on behavior of functionally graded (FG) nanobeams. In thin FG beam, this coupling can be eliminated by a proper choice of the reference axis. In shear deformable FG nanobeam, not only this coupling can't be eliminated but also the position of neutral-axis is dependent on through-thickness distribution of shear strain. For the first time, in this paper it is avoided to guess a shear strain shape function and the exact shape function and consequently the exact position of neutral axis for arbitrary gradation of higher order nanobeam are obtained. This paper presents new methodology based on differential transform and collocation methods to solve coupled partial differential equations of motion without any simplifications. Using exact position of neutral axis and higher order beam kinematics as well as satisfying equilibrium equations and traction-free conditions without shear correction factor requirement yields to better results in comparison to the previously published results in literature. The classical rule of mixture and Mori-Tanaka homogenization scheme are considered. The Eringen's nonlocal continuum theory is applied to capture the small scale effects. For the first time, the dependency of exact position of neutral axis on length to thickness ratio is investigated. The effects of small scale, length to thickness ratio, Poisson's ratio, inhomogeneity of materials and various end conditions on vibration and buckling of local and nonlocal FG beams are investigated. Moreover, the effect of axial load on natural frequencies of the first modes is examined. After degeneration of the governing equations, the exact new formulas for homogeneous nanobeams are computed.

Analytical Method for Moisture Vaporization of Concrete under High Temperature (고온조건에서 콘크리트의 수분증발 해석기법)

  • Lee, Tae-Gyu
    • The Journal of the Korea Contents Association
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    • v.17 no.7
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    • pp.538-545
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    • 2017
  • Moisture evaporates, when concrete is exposed to fire, not only at concrete surface but also at inside the concrete to adjust the equilibrium and transfer properties of moisture. The equilibrium properties of moisture are described by means of water vapor sorption isotherms, which illustrate the hysteretical behavior of materials. In this paper, the prediction method of the moisture distribution inside the concrete members at fire is presented. Finite element method is employed to facilitate the moisture diffusion analysis for any position of member. And the moisture diffusivity model of high strength concrete by high temperature is proposed. To demonstrate the validity of this numerical procedure, the prediction by the proposed algorithm is compared with the test result of other researcher. The proposed algorithm shows a good agreement with the experimental results including the vaporization effect inside the concrete.

MOLECULAR-DYNAMIC SIMULATION ON THE STATICAL AND DYNAMICAL PROPERTIES OF FLUIDS IN A NANO-CHANNEL

  • Hoang, Hai;Kang, Sang-Mo;Suh, Yong-Kweon
    • Journal of computational fluids engineering
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    • v.14 no.1
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    • pp.24-34
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    • 2009
  • The equilibrium molecular-dynamic simulations have been performed to estimate the properties of the three kinds of fluids confined between two plates that are separated by 1.086 nm; included in the statical properties are the density distribution and the static structure, and the autocorrelation velocity function in the dynamic property. Three kinds of fluids considered in this study are the Lennard-Jones fluid, water and aqueous sodium-chloride solution. The water molecules are modeled by using the SPC/E model and the ions by the charged Lennard-Jones particle model. To treat the water molecules, we combined the quaternion coordinates with Euler angles. We also proposed a plausible algorithm to assign the initial position and direction of molecules. The influence of polarization of water molecules as well as the presence of ions in the solution on the properties will be addressed in this study. In addition, we performed the non-equilibrium molecular-dynamic simulation to compute the flow velocity for the case with the gravitational force acting on molecules.