• Title/Summary/Keyword: regular solution theory

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On the Wave Loads on a Large Volume Offshore Structure (대형해양구조물에 작용하는 파랑하중에 관하여)

  • 홍도천;홍은영;이상무
    • Journal of Ocean Engineering and Technology
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    • v.1 no.1
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    • pp.33-38
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    • 1987
  • The first order mation responses of a floating structure and the hydrodynamic forces in regular waves are obtained by means of the linear potential theory. The first order potential is obtained directly from the numerical solution of the improved Green integral equation which is characterized by the combined surface distribution of sources and normal doublets. The mean second order wave drift force is also calculated by means of the near field method. It seems that the present method gives more accurate numerical results than other methods and the agreement between numerical and experimental results appears to be satisfactory.

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The Free Energy of Mixing for a Binary Lattice Solution Consisting of Two Identical Interpenetrating Sublattices (두개의 동등한 상호침투 부격자로 구성된 이성분 격자 용액의 혼합자유에너지)

  • Jung, Hae-Young
    • Journal of the Korean Chemical Society
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    • v.66 no.4
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    • pp.278-283
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    • 2022
  • Using the Kirkwood's method, the free energy of a binary lattice solution consisting of two identical interpenetrating sublattices, such as a simple cubic lattice or a body-centered cubic lattice, was calculated up to the tenth order of the reciprocal of absolute temperature. Using this, liquid-liquid coexistence curves and critical solution temperatures for the binary lattice solutions were calculated to quantitatively investigate the effect of non-random mixing of molecules. And it was shown that the coexistence curve of the simple cubic lattice solution was in good agreement with the Monte-Carlo computer simulation result.

An Analytical Solution for Regular Progressive Water Waves

  • Shin, JangRyong
    • Journal of Advanced Research in Ocean Engineering
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    • v.1 no.3
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    • pp.157-167
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    • 2015
  • In order to provide simple and accurate wave theory in design of offshore structure, an analytical approximation is introduced in this paper. The solution is limited to flat bottom having a constant water depth. Water is considered as inviscid, incompressible and irrotational. The solution satisfies the continuity equation, bottom boundary condition and non-linear kinematic free surface boundary condition exactly. Error for dynamic condition is quite small. The solution is suitable in description of breaking waves. The solution is presented with closed form and dispersion relation is also presented with closed form. In the last century, there have been two main approaches to the nonlinear problems. One of these is perturbation method. Stokes wave and Cnoidal wave are based on the method. The other is numerical method. Dean's stream function theory is based on the method. In this paper, power series method was considered. The power series method can be applied to certain nonlinear differential equations (initial value problems). The series coefficients are specified by a nonlinear recurrence inherited from the differential equation. Because the non-linear wave problem is a boundary value problem, the power series method cannot be applied to the problem in general. But finite number of coefficients is necessary to describe the wave profile, truncated power series is enough. Therefore the power series method can be applied to the problem. In this case, the series coefficients are specified by a set of equations instead of recurrence. By using the set of equations, the nonlinear wave problem has been solved in this paper.

Performance based optimal seismic retrofitting of yielding plane frames using added viscous damping

  • Lavan, O.;Levy, R.
    • Earthquakes and Structures
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    • v.1 no.3
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    • pp.307-326
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    • 2010
  • This paper is concerned with the optimal seismic design of added viscous dampers in yielding plane frames. The total added damping is minimized for allowable values of local performance indices under the excitation of an ensemble of ground motions in both regular and irregular structures. The local performance indices are taken as the maximal inter-story drift of each story and/or the normalized hysteretic energy dissipated at each of the plastic hinges. Gradients of the constraints with respect to the design variables (damping coefficients) are derived, via optimal control theory, to enable an efficient first order optimization scheme to be used for the solution of the problem. An example of a ten story three bay frame is presented. This example reveals the following 'fully stressed characteristics' of the optimal solution: damping is assigned only to stories for which the local performance index has reached the allowable value. This may enable the application of efficient and practical analysis/redesign type methods for the optimal design of viscous dampers in yielding plane frames.

Wave Scattering by a Semi-infinite Breakwater or a Breakwater Gap with Partially Reflective Front and Fully Reflective Back (부분반사 전면 및 완전반사 후면을 갖는 반무한 방파제 또는 방파제 개구부에 의한 파의 산란)

  • Suh, Kyung-Duck;Kim, Han-Na
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.3
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    • pp.183-193
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    • 2007
  • Analytic solutions are derived for wave scattering by a semi-infinite breakwater or a breakwater gap with partially reflective front and fully reflective back. The water depth is constant and a regular wave train is normally incident to the breakwater. Wave scattering is studied based on the linear potential wave theory. The governing equation is transformed into ordinary differential equation by using the method of variation of parameters and coordinate transformation. Comparison with finite element numerical solution shows that the analytic solution obtained in this paper gives quite good results. Using the analytic solution, the tranquility of harbor entrance is investigated by changing the reflection coefficient at the breakwater.

Seepage characteristics of the leaching solution during in situ leaching of uranium

  • Sheng Zeng ;Jiayin Song ;Bing Sun;Fulin Wang ;Wenhao Ye;Yuan Shen;Hao Li
    • Nuclear Engineering and Technology
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    • v.55 no.2
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    • pp.566-574
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    • 2023
  • Investigating the seepage characteristics of the leaching solution in the ore-bearing layer during the in situ leaching process can be useful for designing the process parameters for the uranium mining well. We prepared leaching solutions of four different viscosities and conducted experiments using a self-developed multifunctional uranium ore seepage test device. The effects of different viscosities of leaching solutions on the seepage characteristics of uranium-bearing sandstones were examined using seepage mechanics, physicochemical seepage theory, and dissolution erosion mechanism. Results indicated that while the seepage characteristics of various viscosities of leaching solutions were the same in rock samples with similar internal pore architectures, there were regular differences between the saturated and the unsaturated stages. In addition, the time required for the specimen to reach saturation varied with the viscosity of the leaching solution. The higher the viscosity of the solution, the slower the seepage flow from the unsaturated stage to the saturated stage. Furthermore, during the saturation stage, the seepage pressure of a leaching solution with a high viscosity was greater than that of a leaching solution with a low viscosity. However, the permeability coefficient of the high viscosity leaching solution was less than that of a low viscosity leaching solution.

A Study on the Grounded Theory on Conflict Experiences of Elderly Participants in a senior Employment Promotion Program : Focused on Creating an Aged-friendly Village (노인일자리 참여 노인의 갈등 경험에 관한 근거이론 연구 : 고령친화마을 만들기를 중심으로)

  • Lim, Byung-Woo
    • Journal of Industrial Convergence
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    • v.18 no.6
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    • pp.61-73
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    • 2020
  • The purpose of this study was to categorize conflict resolution by exploring the conflict experiences of the elderly who participate in jobs for the elderly to create an elderly-friendly village. This study applied grounded theory, a qualitative research method, For data collection, a FGI was conducted by sampling 5 elderly job participants in ◯◯-dong, ◯◯-gu, Seoul. The data were analyzed according to the paradigm model of Strauss & Corbin(1998). As a result of the analysis, causal conditions were social, economic, psychological and physical motivations for participation and contextual conditions were economic difficulties, social disconnection, and differences in life experiences influenced the initiation of conflict. The core phenomena were conflict initiated by 'the difference between experience and role' and 'the difference in psychosocial relationship skills', and the intervention condition were the activation of interpersonal relationships through communication to resolve the conflict, social integration through the use of capabilities, It appeared as a regular social activities. The interaction strategy emerged as a strategy for resolving conflict for senior citizen jobs through education, mutual support for building trust, and successful senior-friendly village program operation. The consequences, it was found that job conflicts for the elderly were alleviated by finding one's life, activating community exchanges, increasing a sense of achievement, and growing a sense of community. In conclusion, the conflict resolution types for senior citizens were classified into educational solution type, mutual support solution type, and success experience solution type.

Higher-order Spectral Method for Regular and Irregular Wave Simulations

  • Oh, Seunghoon;Jung, Jae-Hwan;Cho, Seok-Kyu
    • Journal of Ocean Engineering and Technology
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    • v.34 no.6
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    • pp.406-418
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    • 2020
  • In this study, a nonlinear wave simulation code is developed using a higher-order spectral (HOS) method. The HOS method is very efficient because it can determine the solution of the boundary value problem using fast Fourier transform (FFT) without matrix operation. Based on the HOS order, the vertical velocity of the free surface boundary was estimated and applied to the nonlinear free surface boundary condition. Time integration was carried out using the fourth order Runge-Kutta method, which is known to be stable for nonlinear free-surface problems. Numerical stability against the aliasing effect was guaranteed by using the zero-padding method. In addition to simulating the initial wave field distribution, a nonlinear adjusted region for wave generation and a damping region for wave absorption were introduced for wave generation simulation. To validate the developed simulation code, the adjusted simulation was carried out and its results were compared to the eighth order Stokes theory. Long-time simulations were carried out on the irregular wave field distribution, and nonlinear wave propagation characteristics were observed from the results of the simulations. Nonlinear adjusted and damping regions were introduced to implement a numerical wave tank that successfully generated nonlinear regular waves. According to the variation in the mean wave steepness, irregular wave simulations were carried out in the numerical wave tank. The simulation results indicated an increase in the nonlinear interaction between the wave components, which was numerically verified as the mean wave steepness. The results of this study demonstrate that the HOS method is an accurate and efficient method for predicting the nonlinear interaction between waves, which increases with wave steepness.

Multi-Beams modelling for high-rise buildings subjected to static horizontal loads

  • Sgambi, Luca
    • Structural Engineering and Mechanics
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    • v.75 no.3
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    • pp.283-294
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    • 2020
  • In general, the study of a high-rise building's behaviour when subjected to a horizontal load (wind or earthquake) is carried out through numerical modelling with finite elements method. This paper proposes a new, original approach based on the use of a multi-beams model. By redistributing bending and axial stiffness of horizontal elements (beams and slabs) along vertical elements, it becomes possible to produce a system of differential equations able to represent the structural behaviour of the whole building. In this paper this approach is applied to the study of bending behaviour in a 37-storey building (Torre Pontina, Latina, Italy) with a regular reinforced concrete structure. The load considered is the wind, estimated in accordance with Italian national technical rules and regulations. To simplify the explanation of the approach, the wind load was considered uniform on the height of building with a value equal to the average value of the wind load distribution. The system of differential equations' is assessed numerically, using Matlab, and compared with the obtainable solution from a finite elements model along with the obtainable solutions via classical Euler-Bernoulli beam theory. The comparison carried out demonstrates, in the case study examined, an excellent approximation of structural behaviour.

Nonlinear Dispersion Model of Sea Waves in the Coastal Zone (연안역에서의 비선형 파낭 분산모형)

  • Pelinovsky, Efim N.;Stepanyants, Yu.;Talipova, Tatiana
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.4
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    • pp.307-317
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    • 1993
  • The problem of sea wave transformation in the coastal zone taking into account effects of nonlinearity and disperison has been studied. Mathematical model for description of regular wave transformation is based on the method of nonlinear ray theory. The equations for rays and wave field have been produced. Nonlinear wave field is described by the modified Korteweg-de Vries equation. Some analytical solutions of this equation are obtained. Caustic transformation and dissipation effects are included in the mathematical model. Numerical algorithm of solution of the Korteweg-de Vries equation and its stability criterion are described. Results of nonlinear transformation of sea waves in the coastal zone are demonstrated.

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