• Title/Summary/Keyword: Dynamic equilibrium

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Vehicle/bridge interactions of a rail suspension bridge considering support movements

  • Yau, J.D.
    • Interaction and multiscale mechanics
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    • v.2 no.3
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    • pp.263-276
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    • 2009
  • This paper is intended to investigate interaction response of a train running over a suspension bridge undergoing support settlements. The suspension bridge is modeled as a single-span suspended beam with hinged ends and the train as successive moving oscillators with identical properties. To conduct this dynamic problem with non-homogeneous boundary conditions, this study first divides the total response of the suspended beam into two parts: the static and dynamic responses. Then, the coupled equations of motion for the suspended beam carrying multiple moving oscillators are transformed into a set of nonlinearly coupled generalized equations by Galerkin's method, and solved using the Newmark method with an incremental-iterative procedure including the three phases: predictor, corrector, and equilibrium-checking. Numerical investigations demonstrate that the present iterative technique is available in dealing with the dynamic interaction problem of vehicle/bridge coupling system and that the differential movements of bridge supports will significantly affect the dynamic response of the running vehicles but insignificant influence on the bridge response.

Dynamic analysis for delaminated composites based on finite element (다중 층간분리부가 내재된 복합재 평판의 유한요소 진동해석)

  • 오진호;조맹효;김준식
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2003.04a
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    • pp.143-146
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    • 2003
  • A finite element based on the efficient higher order zig-zag theory with multiple delaminations Is developed to refine the predictions of frequency and mode shapes. Displacement field through the thickness are constructed by superimposing linear zig-zag field to the smooth globally cubic varying field. The layer-dependent degrees of freedom of displacement fields are expressed in terms of reference primary degrees of freedom by applying interface continuity conditions including delaminated interfaces as well as free hounding surface conditions of transverse shear stresses. Thus the proposed theory is not only accurate but also efficient. This displacement field can systematically handle the number, shape, size, and locations of delaminations. Throught the dynamic version of variational approach, the dynamic equilibrium equations and variationally consistent boundary conditions are obtained. Through the natural frequency analysis and time response analysis of composite plate with multiple delaminations, the accuracy and efficiency of the present finite element are demonstrated. The present finite element is suitable in the predictions of the dynamic response of the thick composite plate with multiple delaminations.

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Rigorous Dynamic Simulation of PTSA Process (PTSA 공정의 상세 동적 모사)

  • Lee, Hye-Jin;Ko, Dae-Ho;Moon, Il;Choi, Dae-Ki
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.309-309
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    • 2000
  • The main objective of this study is to understand the regeneration step of the PTSA(Pressure and thermal swing adsorption) process below the atmospheric pressure by rigorous dynamic simulation. This target process is to recover toluene using activated carbon as an adsorbent. To do this, the dynamic simulations for the regeneration step are performed at 360, 490, 590mmHg and at high temperature after the simulation of the adsorption step at latm and 298K. A mathematical model was developed to simulate the column dynamics of the adsorption systems. This model is based on non-equilibrium, non-isothermal and non-adiabatic conditions, and axial dispersion and heat conduction are also considered. Heat transfer resistances are considered in gas-solid, gas-column wall and column wall-outside air. The LDF(Linear Driving Force) approximation model describes the mass transfer rate between the gas and solid phase. This study shows that the recovery of toluene by PTSA is more preferable than that by general TSA.

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Analysis of Metal Transfer using Dynamic Force Balance Model in GMAW (동적 힘 평형 모델을 이용한 GMA 용접의 용적이행 해석)

  • 최재형;이지혜;유중돈
    • Journal of Welding and Joining
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    • v.19 no.4
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    • pp.399-405
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    • 2001
  • A dynamic force balance model is proposed in this work as an extension of the previous static force balance model to predict metal transfer in arc welding. Dynamics of a pendant drop is modeled as the second order system, which consists of the mass, spring and damper. The spring constant of a spherical drop at equilibrium is derived in the closed-form equation, and the inertia force caused by drop vibration is included in the drop detaching condition. While the inertia force is small in the low current range, it becomes larger than the gravitational force with current increase. The inertia force reaches half of the electromagnetic force at transition current, and has considerable effects on drop detachment. The proposed dynamic force balance model predicts the detaching drop size more accurately than the static force balance model.

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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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    • v.4 no.5
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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.

A Dynamic Analysis of Technological Innovation Using System Dynamics (시스템 다이나믹스를 이용한 기술혁신의 동태성 분석)

  • Choi Kang-Hwa;Kwak Soo-Il;Kim Soo-Wook
    • Korean Management Science Review
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    • v.23 no.1
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    • pp.87-113
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    • 2006
  • This paper describes a comprehensive approach to examine how technological innovation contributes to the renewal of the firm's competences through its dynamic and reciprocal relationship with R&D and product commercialization. Three theories of technology and innovation (R&D and technological knowledge concept, product-process concept, technological interdependence concept) are used to relate technology and innovation to strategic management. Based on those theories, this paper attempts to identify dynamic relationship between product innovation and process innovation by system dynamics, by investigating the aspect of the dynamic changes of the closed feedback circulation structure in which R&D investments drive technological knowledge accumulation, and such knowledge accumulation actualizes product innovation and process innovation, subsequently resulting in the increase of productivity, customer satisfaction, profit generation, and re-investment on R&D from the created profits. This provides the ability to assess the advantages and disadvantages of different technological innovation strategies and commitments, and the opportunity to explore equilibrium point and suggest a generalized technological innovation model under different industry environment parameters and time-strategies.

Supervisory Control of Dynamic Oligopolistic Markets: How can Firms Reach Profit-Maximization? (동적 과점시장의 관리제어: 기업들은 어떻게 이윤극대화에 이를 수 있는가?)

  • Park, Seong-Jin
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.4
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    • pp.304-312
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    • 2011
  • In an oligopolistic market, only a few firms account for most or all of total production, e.g., automobile, steel, and computer industries. For a dynamic oligopolistic market with two firms competing in quantities, we show that supervisory control theory of discrete event systems provides a novel approach to solve the dynamic oligopoly problem with the aim of maximizing the profits of both firms. Specifically, we show that the controllability, observability, and nonblocking property (which are the core concepts in supervisory control theory) are the necessary and sufficient conditions for two oligopolistic firms in disequilibrium to eventually reach equilibrium states of maximizing the profits of both firms.

Shape Finding of Cable-Net Structures by Using Modified Dynamic Relaxation Method (변형된 동적이완법을 이용한 케이블-네트 구조물의 형상해석)

  • 하창우;김재열;권택진
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.51-58
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    • 2000
  • Dynamic relaxation method is a shape finding analysis method for flexible structures by introducing the dynamic equilibrium equation. However, it is difficult for shape finding to estimate the most appropriate values for the mass and damping on each shape because the values are random one. In this study, the unit mass, the unit damping and the principal direction stiffness are utilized to avoid the random values, and the Newmarks assumption is introduced during the dynamic analysis. By introducing variant time increment method presented, the convergence time is reduced, that is, it can be reduced the total times for analysis.

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Analysis of Elasto-Plastic Dynamic Behaviour of Plate Subjected to Load by Low Velocity Impact (저속충격 하중을 받는 판의 탄소성 동적거동 해석)

  • Huh, Gyoung-Jae;Dokko, Wook
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.11
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    • pp.158-164
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    • 2000
  • In this study a computer program is developed for analyzing the elasto-plastic dynamic behaviors of the plate subjected to line-loading by a low-velocity impactor. The equilibrium equation associated with the Hertzian contact law is formulated to evaluate the transient dynamic behaviour of the impacted plate. Compared with an elastic analysis, the effects of material plasticity are presented. Consequently, in the case of elasto-plastic analysys, impulse decreases, displacements increase and contact time duration is longer than the elastic case for same finite element model. And the time variation of the impacting load is not significant due to the plasticity except at the beginning of impact duration, and the induced stresses of the plate are more realistic.

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The Effect of Minimum Energy Path Curvature on the Dynamic Threshold for Collision-induced Dissociation

  • Kihyung Song
    • Bulletin of the Korean Chemical Society
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    • v.12 no.5
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    • pp.529-536
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    • 1991
  • In this paper, the question whether the curvature of the minimum energy path can affect the dynamic threshold was tested using the boundary trajectory method developed by Chesnavich and coworkers. For nonreactive system, the MO EXP model potential surface was used with modified equilibrium distance to control the curvature. The results showed that there is no relation between the curvature and the dynamic threshold. In order to study the reactive system, a generalization of the boundary trajectory method was achieved to apply on the nonsymmetric system. We have found no correspondence between the curvature and the dynamic threshold of the system. It was also shown that the fate of the trajectories strongly depends on the shape of potential surface around the turning points along the symmetric stretch line.