• Title/Summary/Keyword: Equilibrium Behavior

Search Result 730, Processing Time 0.039 seconds

A dual approach to perform geometrically nonlinear analysis of plane truss structures

  • Habibi, AliReza;Bidmeshki, Shaahin
    • Steel and Composite Structures
    • /
    • v.27 no.1
    • /
    • pp.13-25
    • /
    • 2018
  • The main objective of this study is to develop a dual approach for geometrically nonlinear finite element analysis of plane truss structures. The geometric nonlinearity is considered using the Total Lagrangian formulation. The nonlinear solution is obtained by introducing and minimizing an objective function subjected to displacement-type constraints. The proposed method can fully trace the whole equilibrium path of geometrically nonlinear plane truss structures not only before the limit point but also after it. No stiffness matrix is used in the main approach and the solution is acquired only based on the direct classical stress-strain formulations. As a result, produced errors caused by linearization and approximation of the main equilibrium equation will be eliminated. The suggested algorithm can predict both pre- and post-buckling behavior of the steel plane truss structures as well as any arbitrary point of equilibrium path. In addition, an equilibrium path with multiple limit points and snap-back phenomenon can be followed in this approach. To demonstrate the accuracy, efficiency and robustness of the proposed procedure, numerical results of the suggested approach are compared with theoretical solution, modified arc-length method, and those of reported in the literature.

Equilibrium Point and Stability of Double-Free-Nodes Space Truss Under Symmetric Condition (대칭 조건을 갖는 2-자유절점 공간 트러스의 평형점과 안정성)

  • Ha, Junhong;Shon, Sudeok;Lee, Seungjae;Hwang, Kyung-Ju
    • Journal of Korean Association for Spatial Structures
    • /
    • v.19 no.4
    • /
    • pp.69-76
    • /
    • 2019
  • A stadium roof that uses the pin-jointed spatial truss system has to be designed by taking into account the unstable phenomenon due to the geometrical non-linearity of the long span. This phenomenon is mainly studied in the single-free-node model (SFN) or double-free-node model (DFN). Unlike the simple SFN model, the more complex DFN model has a higher order of characteristic equations, making analysis of the system's stability complicated. However, various symmetric conditions can allow limited analysis of these problems. Thus, this research looks at the stability of the DFN model which is assumed to be symmetric in shape, and its load and equilibrium state. Its governing system is expressed by nonlinear differential equations to show the double Duffing effect. To investigate the dynamic behavior and characteristics, we normalize the system of the model in terms of space and time. The equilibrium points of the system unloaded or symmetrically loaded are calculated exactly. Furthermore, the stability of these points via the roots of the characteristic equation of a Jacobian matrix are classified.

Trim Range and Characteristics of Autorotation(II): Advance Ratio Variation and Flapping Characteristics (자동회전의 트림 범위와 특성(II): 전진비 변화와 플래핑 특성)

  • Kim, Hak-Yoon;Choi, Seong-Wook
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.39 no.6
    • /
    • pp.498-504
    • /
    • 2011
  • The flapping characteristics and advance ratios at torque equilibrium state of autorotation were investigated when the airspeed, shaft angle, and pitch angle were varied. To simulate the airspeed increase, the aerodynamic data analyzed by using the compressible Navier-Stokes solver and Pitt/Peters inflow theory were used. Transient Simulation Method(TSM) was used to catch the torque equilibrium states. The maximum flapping angles at torque equilibrium state were correlated to the airspeed, shaft angle, and pitch angle. By comparing flapping behavior to the variation of advance ratio, the phenomenon that the extension of reverse flow area of retreating blade affects the characteristics of autorotation was qualitatively considered.

Isobaric Vapor-Liquid Equilibrium of 1-propanol and Benzene System at Subatmospheric Pressures (일정압력하에서 1-propanol/benzene 계의 기-액 상평형)

  • Rho, Seon-Gyun;Kang, Choon-Hyoung
    • Korean Chemical Engineering Research
    • /
    • v.56 no.2
    • /
    • pp.222-228
    • /
    • 2018
  • Benzene is one of the most widely used basic materials in the petrochemical industry. Generally, benzene exists as a mixture with alcohols rather than as a pure substance. Further, the alcohols-added mixtures usually exhibit an azeotropic composition. In this context, knowledge of the phase equilibrium behavior of the mixture is essential for its separation and purification. In this study, the vapor-liquid equilibrium data were measured in favor of a recirculating VLE apparatus under constant pressure for the 1 - propanol / benzene system. The measured vapor - liquid equilibrium data were also correlated by using the UNIQUAC and WILSON models and the thermodynamic consistency test based on the Gibbs/Duhem equation was followed. The results of the phase equilibrium experiment revealed RMSEs (Root Mean Square Error) and AADs (Average Absolute Deviation) of less than 0.05 for both models, indicating a good agreement between the experimental value and the calculated value. The results of the thermodynamic consistency test also confirmed through the residual term within ${\pm}0.2$.

Urban Housewives제 Value Orientation, Sense of Ancestrial Service and Behavior (도시주부의 가치지향성.제례의식.제례수행)

  • 이정우;김연화
    • Journal of Family Resource Management and Policy Review
    • /
    • v.3 no.2
    • /
    • pp.33-50
    • /
    • 1999
  • The purpose of this study is to analyze the relationship of housewives’sense of ancestral service and behavior and to verify the how housewives’value orientation affects the sense of ancestral service and behavior. The data are collected from 393 housewives in urban. The statistics used for the analysis are Cronbach’$\alpha$, Frequency, Percentage, Mean, SD, and Multiple Regression Analysis. The results are summarized below: First, among the variables, degree of fate-control orientation is the most, on the contrary, material orientation is the lowest. Second, value orientation variables that affect sense and behavior of ancestral service are material orientation and gender equilibrium orientation. Third, the behavior of ancestral service is more traditional than sense of ancestral service. Fourth, cause-and-effect variable which affect behavior of ancestral service are education level, religion(Buddhism, Catholicism), employment status, number of children, health, daughter in -law’s ranking, sense of ancestral service, and value orientation, which affect the direct or direct and indirectly. Especially sense of ancestral service variable is the most important mediation one. We expect further studies on the sense of ancestral service and behavior with precise scale and sampling.

  • PDF

Effect of Cosurfactant on Microemulsion Phase Behavior in NP7 Surfactant System (보조계면활성제가 NP7 계면활성제 시스템의 마이크로에멀젼 형성에 미치는 영향에 관한 연구)

  • Lim, HeungKyoon;Lee, Seul;Mo, DaHee;Lim, JongChoo
    • Applied Chemistry for Engineering
    • /
    • v.22 no.4
    • /
    • pp.416-422
    • /
    • 2011
  • In this study, the effect of cosurfactant on the phase equilibrium and dynamic behavior was studied in systems containing NP7 nonionic surfactant solutions and nonpolar hydrocarbon oils. All cosurfactants used during this study such as n-pentanol, n-octanol and n-decanol acted as a hydrophobic additive and thus promoted the transition from an oil in water (O/W) microemulsion (${\mu}E$) in equilibrium with an excess oil phase to a three-phase region containing excess water, excess oil, and a middle-phase microemulsion and further to a water in oil (W/O) ${\mu}E$ in equilibrium with the excess water phase. The transition temperature was found to decrease with both increases in the chain length and amount of addition of a cosurfactant. Dynamic behavior studies under O/W ${\mu}E$ conditions showed that an oil drop size decreased with time due to the solubilization into micelles. On the other hand, both the spontaneous emulsification of water into the oil phase and the expansion of oil drop were observed under W/O ${\mu}E$ conditions because of the diffusion of surfactant and water into the oil phase. Under conditions of a three-phase region including a middle-phase ${\mu}E$, both the rapid solubilization and emulsification of the oil into aqueous solutions were found mainly due to the existence of ultra-low interfacial tension. Dynamic interfacial tension measurements have been found to be in a good agreement with dynamic behavior results.

Behavior of Detonation Wave in Superdetonative Ram Accelerator (초폭굉 모드 램 가속기에서 데토네이션파의 거동특성)

  • Sung, Kun-Min;Jeung, In-Seuck;Moon, Guee-Won
    • 한국연소학회:학술대회논문집
    • /
    • 2005.10a
    • /
    • pp.28-31
    • /
    • 2005
  • The numerical simulation is conducted for analysis flame structure of superdetonative ram accelerator experiment by ISL(French-German Research Institute in Saint Louis). Fully coupled chemically non-equilibrium Navier-Stokes equation is used. Shockwave structure of superdetonative ram accelerator and behavior of detonation wave is studied. Maintaining of detonation wave is very important to accelerate projectile, Because detonation wave make high pressure gases and this high pressure accelerate projectile.

  • PDF

Snap-Through Behavior Analysis of Space Truss using Arc-Length Method (호장법을 이용한 공간트러스의 스냅스루거동 해석)

  • 권택진;서일교;이상환
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 1993.10a
    • /
    • pp.47-54
    • /
    • 1993
  • This paper is concerned with the geometrically nonlinear behavior of elastic systems under conservative loading conditions. In particular, the topic are snap through problems and the arc-length method to pass limit points of space trusses is used. And numerical examples are presented to trace nonlinear equilibrium paths.

  • PDF

Behavior Prediction of Strengthened! Reinforced! Concrete Beam using Nonlinear Analysis (비선형 해석을 통한 보강된 RC 보의 거동 예측)

  • 박중열;황선일;조홍동;한상훈
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2003.05a
    • /
    • pp.561-566
    • /
    • 2003
  • In this study, to predict the behavior of RC beam strengthened with Carbon fiber reinforced polymer(CFRP) plate, analytical program considering material non-linearity is developed. Strain compatibility and force equilibrium are applied and internal forces of constitutive material are calculated using nonlinear stress-strain relationship. Also, to certainty the reliability of analytical program, deflection, strain of CFRP plate, change of neutral axis on cross section and crack distribution at failure are compared with those of experiment, and each results are almost coincident.

  • PDF