• Title/Summary/Keyword: Structure Equation Model

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Aerodynamic stability analysis of geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction

  • Xu, Yun-ping;Zheng, Zhou-lian;Liu, Chang-jiang;Wu, Kui;Song, Wei-ju
    • Wind and Structures
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    • v.26 no.6
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    • pp.355-367
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    • 2018
  • This paper studies the aerodynamic stability of a tensioned, geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction. Considering flow separation, the wind field around membrane structure is simulated as the superposition of a uniform flow and a continuous vortex layer. By the potential flow theory in fluid mechanics and the thin airfoil theory in aerodynamics, aerodynamic pressure acting on membrane surface can be determined. And based on the large amplitude theory of membrane and D'Alembert's principle, interaction governing equations of wind-structure are established. Then, under the circumstance of single-mode response, the Bubnov-Galerkin approximate method is applied to transform the complicated interaction governing equations into a system of second-order nonlinear differential equation with constant coefficients. Through judging the frequency characteristic of the system characteristic equation, the critical velocity of divergence instability is determined. Different parameter analysis shows that the orthotropy, geometrical nonlinearity and scantling of structure is significant for preventing destructive aerodynamic instability in membrane structures. Compared to the model without considering flow separation, it's basically consistent about the divergence instability regularities in the flow separation model.

A Numerical K-e Two-Equation Model for Investigating the Hydrodynamics of Flow in Two-Dimensional Density Fields (이차원밀도장에서의 유동을 해석하기 위한 수치모델의 개발)

  • 허재영
    • Water for future
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    • v.26 no.4
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    • pp.61-71
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    • 1993
  • To investigate the structure of internal flow hydrodynamically, the complete vertical equation of motion should be assembled into the model. In the present study a numerical simulation model not hydrodynamically approximated is established. From the comparison of the predicted results with the computed results from k-$ two equation turbulence model by Huh et. al.(1991)and the experimental data by Nakatsuji(1984), the vertical acceleration and its effects on the development of buoyant surface jets are evaluated quantitatively.

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A Study on the Analysis of Pogo Stability of Liquid Propellant Rocket (액체추진로켓의 포고 안정성 해석에 관한 연구)

  • 장홍석;연정흠;윤성기;정태규
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2002.04a
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    • pp.10-13
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    • 2002
  • Pogo is the instability resulting from the interaction between rocket structure and propulsion system of liquid propellant rocket. The coupling of structure and propulsion system can lead to severe problem in rocket. For the analysis of pogo, a time-invariant linearized mathematical model is developed for a selected flight time. Propulsion system is modeled using element representations for each components. The constitutive equation of propulsion system is a homogeneous second-order equation form in the Laplace domain. Rocket structure is modeled using FEM. From the results of modal analysis of structure, the behavior of structure can be represented. System equations for coupling structure and propulsion system are composed of all propulsion system equations and vehicle motion equations reacting on the vehicle by each component of propulsion system. The stability is obtained by the eigen solution of system matrix. The optimization of the design variables such as size, place of accumulator for suppressing pogo instability is carried out. This article of study can be used to determine the degree of stability, and guide the design of pogo suppression system.

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Estimating the Behavior of an Actual Market System with a Stream of Relations and Simulation Experiments

  • Tae Ho Kim
    • Communications for Statistical Applications and Methods
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    • v.4 no.2
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    • pp.589-610
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    • 1997
  • When a modeling process is applied to an actual commodity market in the real world, interactions over closely related commodities through the marketing channel should also be formulated into the model to reflect the information that exists in the whole market system, otherwise unreliable estimates and test statistics may be produced by ignoring those effects. Single-equation type model in this case tends to yield inefficient estimates, and sometimes biased and inconsistent, which will mislead us. A system of equation method to examine the structure of the imported commodity market system is developed and its emtirical results are analyzed, then followed by some policy experiments and its implications.

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A Experimental Study on the Hydroelastic Behavior of Large Floating Offshore Structures (대형부체구조물(大型浮體構造物)의 유(流).탄성(彈性) 연성거동에 관한 실험적 고찰)

  • Lee, Sang-Yeob
    • Journal of Korean Association for Spatial Structures
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    • v.1 no.2 s.2
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    • pp.101-110
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    • 2001
  • A large floating structure is attracting great attention in recent years from the view of ocean space utilization. Its huge scale in the horizontal directions compared with the wavelength and relatively shallow depth make this type of floating structure flexible and its wave-induced motion be characterized by the elastic deformation. In this paper, a boundary integral equation method is proposed to predict the wave-induced dynamic response mat-like floating offshore structure. The structure is modeled as an elastic plate and its elastic deformation is expressed as a superposition of free-vibration modes in air. This makes it straightforward to expand the well-established boundary integral technique for rigid floating bodies to include the hydroelastic effects. In order to validate the theoretical analysis, we compare with the experimental result of reduced model test. Satisfactory agreement is found between theory and experiment.

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A theoretical study on the hydroelastic behavior of Large floating offshore structures (대형부체구조물(大型浮體構造物)의 유체(流體)·탄성체(彈性體) 연성거동의 이론적 해석에 관한 연구(硏究))

  • Lee, Sang-Yeob;Rha, Young-Ho
    • Journal of the Korean Society of Industry Convergence
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    • v.4 no.4
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    • pp.433-439
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    • 2001
  • A large floating structure is attracting great attention in recent years from the view of ocean space utilization. Its huge scale in the horizontal directions compared with the wavelength and relatively shallow depth make this type of floating structure flexible and its wave-induced motion be characterized by the elastic deformation. In this paper, a boundary integral equation method is proposed to predict the wave-induced dynamic response mat-like floating offshore structure. The structure is modeled as an clastic plate and its elastic deformation is expressed as a superposition of free-vibration modes in air. This makes it straightforward to expand the well-established boundary integral technique for rigid floating bodies to include the hydroelastic effects. In order to validate the theoretical analysis, we compare with the experimental result of previous model test. Satisfactory agreement is found between theory and experiment.

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Dynamic interaction analysis of vehicle-bridge system using transfer matrix method

  • Xiang, Tianyu;Zhao, Renda
    • Structural Engineering and Mechanics
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    • v.20 no.1
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    • pp.111-121
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    • 2005
  • The dynamic interaction of vehicle-bridge is studied by using transfer matrix method in this paper. The vehicle model is simplified as a spring-damping-mass system. By adopting the idea of Newmark-${\beta}$ method, the partial differential equation of structure vibration is transformed into a differential equation irrelevant to time. Then, this differential equation is solved by transfer matrix method. The prospective application of this method in real engineering is finally demonstrated by several examples.

Dynamic Characteristics Analysis of an Escalator Using a Computer Model (전산모델을 이용한 에스컬레이터의 동특성 해석)

  • Park, Chan-Jong;Kwon, Yi-Sug;Park, Tae-Won
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.4 s.97
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    • pp.95-101
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    • 1999
  • In this paper, we propose a dynamic model of an escalator which can be used to build a design database. The model permits to estimate the forces applied to the structure by calculating three primary types of forces; the torque required to operate the escalator, the reaction forces at part interconnection points, and contact forces between parts. These forces can then be used to calculate dynamic stresses in the structure which is required to estimate the durability of the structure. Result of the computer model are compared with testing results. This simulation model is used to construct a design database. So when we design a new escalator, this design database can be used to make a new simulation model which makes it possible for us to do a Knowledge-Based-Design.

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Mixing Rules of Young's Modulus, Thermal Expansion Coefficient and Thermal Conductivity of Solid Material with Particulate Inclusion

  • Hirata, Yoshihiro;Shimonosono, Taro
    • Journal of the Korean Ceramic Society
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    • v.53 no.1
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    • pp.43-49
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    • 2016
  • This analyzed a Young's modulus (E), a thermal expansion coefficient (TEC, ${\beta}$) and a thermal conductivity (${\kappa}$) of the material with simple cubic particulate inclusion using two model structures: a parallel structure and a series structure of laminated layers. The derived ${\beta}$ equations were applied to calculate the ${\beta}$ value of the W-MgO system. The accuracy was higher for the series model structure than for the parallel model structure. Young's moduli ($E_c$) of sintered porous alumina compacts were theoretically related to the development of neck growth of grain boundary between sintered two particles and expressed as a function of porosity. The series structure model with cubic pores explained well the increased tendency of $E_c$ with neck growth rather than the parallel structure model. The thermal conductivity of the three phase system of alumina-mullite-pore was calculated by a theoretical equation developed in this research group, and compared with the experimental results. The pores in the sintered composite were treated as one phase. The measured thermal conductivity of the composite with 0.5-25% porosity (open and closed pores) was in accordance with the theoretical prediction based on the parallel structure model.

Performance Analysis of Air Foil Bearings with Bump Friction (범프 마찰을 고려한 공기포일베어링의 성능해석)

  • Kim, Young-Cheol;Lee, Dong-Hyun;Kim, Kyung-Cheol
    • 유체기계공업학회:학술대회논문집
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    • 2005.12a
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    • pp.803-809
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    • 2005
  • This paper presents the theoretical model to investigate the effect of Coulomb damping in the sub-structure of a foil bearing. Foil deflection is restricted by friction of bumps. Equivalent viscous damping of the bump foils is derived from the Coulomb friction. Dynamic equation of the bumps is constituted by stiffness and damping terms. This point give the difference from Heshmat's frictionless and simple compliance bump model. The fluid is modeled with the compressible Reynolds equation. A perturbation approach is used to determine the static and dynamic performance of the bearing from the coupled fluid-structural model. The analysis result shows that the static and dynamic performance is enhanced by bump friction. This analysis technique would be extended to development of a high performance bearing.

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