• International Journal of Naval Architecture and Ocean Engineering
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• 제8권1호
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• pp.13-21
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• 2016

Parametric pitch instability of a Deep Draft Semi-submersible platform (DDS) is investigated in irregular waves. Parametric pitch is a form of parametric instability, which occurs when parameters of a system vary with time and the variation satisfies a certain condition. In previous studies, analyzing of parametric instability is mainly limited to regular waves, whereas the realistic sea conditions are irregular waves. Besides, parametric instability also occurs in irregular waves in some experiments. This study predicts parametric pitch of a Deep Draft Semi-submersible platform in irregular waves. Heave motion of DDS is simulated by wave spectrum and response amplitude operator (RAO). Then Hill equation for DDS pitch motion in irregular waves is derived based on linear-wave theory. By using Bubnov-Galerkin approach to solve Hill equation, the corresponding stability chart is obtained. The differences between regular-waves stability chart and irregular-waves stability chart are compared. Then the sensitivity of wave parameters on DDS parametric pitch in irregular waves is discussed. Based on the discussion, some suggestions for the DDS design are proposed to avoid parametric pitch by choosing appropriate parameters. The results indicate that it's important and necessary to predict DDS parametric pitch in irregular waves during design process.

• 소음진동
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• 제6권2호
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• pp.233-244
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• 1996

In this paper chaotic mothions of a straight pipe conveying oscillatory flow and being subjected to external forces such as earthquake are theoretically investigated. The nonlinear partial differential equation of motion is derived by Newton's method. In this equation, the nonlinear curvature of the pipe and the thermal expansion effects are contained. The nonlinear ordinary differential equation transformed from that partial differential equation is a type of Hill's equations, which have the parametric and external exciation term. This original system is transfered to the averaged system by the averaging theory. Bifurcation curves of chaotic motion of the piping system are obtained in the general case of the frequency ratio, n by applying Melnikov's method. Numerical simulations are performed to demonstrate theorectical results and show strange attactors of the chaotic motion.

• 소성∙가공
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• 제6권4호
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• pp.279-290
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• 1997

The sectional forming analysis of stamping pocesses for aluminum alloy sheet metals was investigated. For the modeling of the anomalous behavior of aluminum alloy sheet. the Barlat's strain rate potential and Hill's 1990 non-quadratic yield theory with an isotropic hardening rule were employed. The rigid-viscoplastic FEM formulation which solves equilibrium equation for plane-strain stage with mesh-normal geometric constraints was derived. A new method to determine the Barlat's anisotropic coefficients was also suggested. To verify the validity of the formulation, the stretch and draw forming processes of a square cup were simulated.

• 한국전산유체공학회지
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• 제4권3호
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• pp.12-20
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• 1999

The computations of the flowfield and pollutant dispersion over a flat plate and the Russian hills of various slopes are described. The Gaussian plume and the puff model have been used to calculate concentration of pollutant. The Reynolds-averaged unsteady incompressible Navier-Stokes equation with low Reynolds κ-ε model has been used to calculate the flowfield. The flow data of a flat plate and the Russian hills from Navier-Stokes equation solutions has been used as the input data for the puff model. The computational results of flowfield agree well with experimental results of both a flat plate and Russian hills. The concentration prediction by the Gaussian plume model and the Gaussian puff model also agrees flirty well with experiments.

• 소음진동
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• 제10권5호
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• pp.849-858
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• 2000

In this paper the chaotic out-of-plane vibrations of the uniformly curved pipe with pulsating flow are theoretically investigated. The derived equations of motion contain the effects of nonlinear curvature and torsional coupling. The corresponding nonlinear ordinary differential equation is a type of nonhomogenous Hill's equation . this is transformed into the averaged equation by averaging theorem. Bifurcation curves of chaotic motion are obtained by Melnikov's method and plotted in several cases of frequency ratios. The theoretically obtained results are demonstrated by numerical simulation. And strange attractors are shown.

• Steel and Composite Structures
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• 제31권3호
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• pp.277-290
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• 2019

This paper investigates the parametric instability (PI) of multilayered composite conical shells (MLCCSs) under axial load periodically varying the time, using the first order shear deformation theory (FOSDT). The basic equations for the MLCCSs are derived and then the Galerkin method is used to obtain the ordinary differential equation of the motion. The equation of motion converted to the Mathieu-Hill type differential equation, in which the DI is examined employing the Bolotin's method. The expressions for left and right limits of dimensionless parametric instability regions (PIRs) of MLCCSs based on the FOSDT are obtained. Finally, the influence of various parameters; lay-up, shear deformations (SDs), aspect ratio, as well as loading factors on the borders of the PIRs are examined.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2008년도 정기 학술대회
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• pp.72-77
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• 2008

Stability is a very important part which we must consider in structural design. In this paper, we take advantage of finite element method, and study about parametrical instability of star-dome structures, which is subjected to harmonically pulsating load. When calculating stiffness matrix, we consider elastic stiffness and geometrical stiffness simultaneously. In equation of motion, we represent displacements and accelerations by trigonometric series expansions, and then obtain Hill's infinite determinants. After first order approximation, we can get first and second order dynamic instability region finally.

• East Asian mathematical journal
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• 제39권1호
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• pp.65-73
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• 2023

In this paper, we present an optimal control strategy to prevent the EMT process by downregulating the level of overexpressed β-catenin in the cytoplasm. To do this, we propose a mathematical model that expresses relationship between the Wnt signaling pathway and TGF-β in cancer cells. We also define an optimal control problem considering the side effects that occur simultaneously with the method for controlling the concentration of β-catenin. Finally numerical simulations show that treatment effect is quantitatively changes depending on the concentration of core proteins of the Wnt signaling pathway.

• 한국산학기술학회논문지
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• 제11권1호
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• pp.352-360
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• 2010

본 연구는 자연친화적인 힐클라임 스포츠 참가자의 참가동기, 몰입경험이 자아성취감과 생활만족에 미치는 영향을 규명하는데 그 목적이 있다. 이러한 목적을 달성하기 위하여 본 연구에서는 강원도 대관령과 미시령 힐클라임 대회에 참여하고 있는 성인 남녀를 대상으로 206명을 표집하여 SPSS/PC+ 11.0 Version과 AMOS 7.0을 사용하여 통계분석을 실시하였다. 이 연구의 결론은 다음과 같다. 첫째, 자연친화적 힐클라임 스포츠 참가자의 참가동기, 몰입경험, 자아성취감 및 생활만족에 대한 기술통계분석 결과 비교적 높게 나타났다. 둘째, 자연친화적 힐클라임 스포츠 참가자의 참가동기, 몰입경험, 자아성취감 및 생활만족 간의 관계를 알아보기 위해 Pearson의 적률 상관분석을 실시한 결과, 참가도기는 생활만족에 양(+)의 상관관계가 있으며, 몰입경험은 자아성취감에 양(+)의 상관이 있는 것으로 나타났다. 셋째, 자연친화적 힐클라임 스포츠 참가자들의 참가동기와 생활만족, 몰입경험과 자아성취감 간에는 인과적 관계가 있는 것으로 나타났다. 이러한 결과들로 보아 정부나 지역자치단체에서 지역주민들이 자연친화적인 환경에서 운동을 통한 삶의 질을 높일 수 있은 방향으로 정책을 펼쳐야 한다.

• Bulletin of the Korean Chemical Society
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• 제9권4호
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• pp.244-248
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• 1988

Multilayer adsorption isotherms of nitrogen on hexagonal boron nitride, ${\gamma}$-alumina, and silica-gel powders are determined at the liquid nitrogen temperature using a gravimetric adsorption apparatus. The volume (V) of the adsorbed gas are plotted against the statistical thickness(t) of the adsorbed layer, and the t-method area are calculated from the slope of these V-t plots to compare with the BET area. A number of universal adsorption isotherms and the Frenkel-Halsey-Hill equation are used one after another in calculating the statistical thickness. The appropriateness of the FHH equation as an universal adsorption isotherm is discussed finally.