• Title/Summary/Keyword: Dimensionless Parameters

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On the Grounding Damage of Ship Bottom Stiffened Platings(Part II : Damage Prediction Formula) (좌초시 선저보강판의 손상에 관한 연구(제2보 : 손상추정식))

  • Jeom-Kee Paik;Tak-Kee Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.4
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    • pp.119-129
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    • 1994
  • The aim of the present study is to derive an empirical formula relating the absorbed energy and the cutting length for longitudinally stiffened steel palates which are cut by a wedge, idealizing the ship bottom stiffened platings in groundings. This study is based on the test results and the investigations of some parameters affecting the cutting response, described in Part I. By dimensionless ana1ysis of the test results obtained in a quasi-static loading condition, the energy absorbed while a longitudinally stiffened plate is cut by a wedge is expressed as functions of the cutting length, the yield stress, the equivalent plate thickness and the wedge angle. Also, the dynamic effects are incorporated into the static formula such that the proposed formula can be applied to the impact loading situations. The validity of the proposed formula is checked by comparing with the results obtained by the other existing formulas or by the drop-hammer tests.

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Investigating vibration behavior of smart imperfect functionally graded beam subjected to magnetic-electric fields based on refined shear deformation theory

  • Ebrahimi, Farzad;Jafari, Ali
    • Advances in nano research
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    • v.5 no.4
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    • pp.281-301
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    • 2017
  • In this disquisition, an exact solution method is developed for analyzing the vibration characteristics of magneto-electro-elastic functionally graded (MEE-FG) beams by considering porosity distribution and various boundary conditions via a four-variable shear deformation refined beam theory for the first time. Magneto-electroelastic properties of porous FG beam are supposed to vary through the thickness direction and are modeled via modified power-law rule which is formulated using the concept of even and uneven porosity distributions. Porosities possibly occurring inside functionally graded materials (FGMs) during fabrication because of technical problem that lead to creation micro-voids in FG materials. So, it is necessary to consider the effect of porosities on the vibration behavior of MEE-FG beam in the present study. The governing differential equations and related boundary conditions of porous MEE-FG beam subjected to physical field are derived by Hamilton's principle based on a four-variable tangential-exponential refined theory which avoids the use of shear correction factor. An analytical solution procedure is used to achieve the natural frequencies of porous-FG beam supposed to magneto-electrical field which satisfies various boundary conditions. A parametric study is led to carry out the effects of material graduation exponent, porosity parameter, external magnetic potential, external electric voltage, slenderness ratio and various boundary conditions on dimensionless frequencies of porous MEE-FG beam. It is concluded that these parameters play noticeable roles on the vibration behavior of MEE-FG beam with porosities. Presented numerical results can be applied as benchmarks for future design of MEE-FG structures with porosity phases.

An analysis of related parameters of the detention pond in trunk sewer considering temporal distribution of rainfall (강우의 시간적 분포를 고려한 간선저류지의 관련매개변수 분석)

  • Lee, Sung Ho;Lee, Jae Joon;Lee, Hoo Sang;Rhee, Dong Sop
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.214-214
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    • 2017
  • 우리나라는 도시화 및 산업화로 도시지역의 대부분이 불투수층으로 변화하였으며, 국지성 호우의증가로 홍수 저감시설의 방어능력이 취약한 실정이다. 따라서 홍수방어 개선을 위한 여러 방안들이 이루어지고 있으며, 그 중 저류지는 도시지역에서 유역 하류의 홍수피해 저감 및 흐름을 지체시켜 유출률을 감소시키는 시설물로 홍수 저감을 위한 시설물로 가장 많이 사용되고 있다. 저류지는 큰 규모일수록 유역의 하류지역에 설치할 경우 가장 큰 유출저감효과를 가지는 것으로 알려져 있다. 하지만 저류지의 위치를 유역의 하류가 아닌 상류지역에 설치할 경우에는 단기간 강우의 시간적 분포가 강우 초기에 집중될 경우 저류지의 허용용량이 초기에 도달하게 되어 추가적인 강우가 발생할 경우 본래의 역할을 하지 못하는 경우가 빈번하게 발생하고 있다. 그러므로 다양한 강우강도 및 시간적 분포를 고려하여 유역의 특성 및 저류지의 설치위치에 따른 관계를 분석할 필요가 있다. 본 연구에서는 도시화, 산업화 인구집중으로 인해 동일규모의 강우에서도 우수유출이 증대되고 있는 도시지역에서 원활한 내수배제를 위해 기존의 우수관거를 연계한 저류시스템인 간선저류지 개념을 적용하여 강우강도 및 시간적 분포에 따른 간선저류지의 관련매개변수를 분석하였다. 대상유역은 세장형, 집중형, 중앙형의 3가지 형상의 가상유역으로 선정하여 다양한 지속기간의 강우량을 적용하였으며, 간선저류지의 설치위치는 전체 유역면적에 대한 저류지 상류부 면적의 비(저류지 상류부 면적비, DUAR ; Dimensionless Upstream Area Ratio)를 20%, 40%, 60%, 80%로 변화시키면서 강우의 시간적 분포에 따른 간선저류지의 매개변수 분석에 관한 연구를 진행하였다.

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Experimental, Theoretical and Numerical Studies for Concentrations and Velocities of Gas Jets (가스 제트 누출의 농도 및 속도에 대한 실험, 이론 및 수치해석 연구)

  • Bang, Boo-Hyoung;Kim, Hong-Min;Kim, Sung-Hoon;Lee, Keun-Won
    • Journal of the Korean Institute of Gas
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    • v.26 no.1
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    • pp.20-26
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    • 2022
  • The results of experimental, theoretical, and numerical analysis were compared regarding the concentrations and velocities of flammable gas jets generated by pressurized leakage of methane gas. The concentration was measured through experiments for the jet dispersion process, and the velocities was calculated by applying the self-similarity theory. And the velocities and concentrations were calculated using CFD tools - FLACS and CFX- compared with the results. The difference between self-similarity model and CFD is due to the buoyancy term, which increases as the distance from a leak source increases. The results are compared with dimensionless parameters using the leak source radius and velocity components along the leak axis.

Development of a Design Chart for the Initial Design Stage of Very Large Floating Structures (초대형 부유식 해상구조물의 초기 설계를 위한 설계차트 개발)

  • Zi, Goangseup;Kim, Jin Gyun;Lee, Seung Oh;Lee, Phill-Seung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.3B
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    • pp.315-324
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    • 2010
  • We developed a design chart for very large floating structures through intensive hydroelastic analysis. Using this chart, one can predict the hydroelastic response of very large floating structures preliminarily at design stage without the cost-demanding hydroelastic analysis. This paper presents two new design charts based on the theory of VLFS. The purpose of the first design chart is to determine RAOs of the maximum longitudinal stress of VLFS considering properties of waves and structures. The design chart I can be applied to any sizes of VLFS in same aspect ratios and dimensionless stiffness parameters. The second design chart is developed to take into account the actual wave condition by using the Bretschneider spectrum with Beaufort sea state.

Experimental study on release of plastic particles from coastal sediments to fluid body (해안 유사에서 수체로의 플라스틱 입자 방출에 관한 실험적 연구)

  • Hwang, Dongwook;Park, Yong Sung
    • Journal of Korea Water Resources Association
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    • v.56 no.2
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    • pp.125-137
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    • 2023
  • In marine environments, plastics have become more abundant due to increasing plastic use. Especially, in coastal regions, particles may remain for a long time, and they interact with flows, wind, sand and human activities. This study aimed thus to observe how plastic debris interacts with and escape from sediments. A series of experiments were conducted in order to gain a better understanding of particle release from coastal sediments into water body. An oscillating water tunnel was built for the experiments, and used to generate oscillatory flows of relatively high Reynolds number and induce sediment transport. Spherical plastic particles of three different sizes was used in lieu of plastic debris in environments. It was observed that release of the particles was directly related to change of bedform, which is in turn determined by the flow condition. Also smaller particles tend to escape the sediment more readily. Critical values for dimensionless parameters are proposed.

Techniques of Optimizing the Launching Nose under Conditions of Minimizing the Launching Bending Moment (압출가설시 발생하는 휨모멘트의 최소화 조건을 통한 압출노즈의 최적설계)

  • Choi, Hang Yong;Suh, Suk Koo;Oh, Myung Seok;Oh, Sae Hwan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.4A
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    • pp.487-495
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    • 2008
  • The behavior of nose-deck system during launch was examined by three dimensionless launching parameters, such as the relative flexural stiffness, the relative nose weight, and the relative nose length. The techniques of optimizing the launching nose were illustrated and equations of relationship between relative nose weight and relative nose length were derived under minimum conditions of the launching negative and positive moment. Equations of maximum positive and negative moment were suggested under the conditions. The optimum design method of the launching nose was proposed in launched continuous girder bridges. It was found that the ideal launching nose was to design that with the relative nose weight of 0.167 and the relative nose length of 0.836 to minimize absolute values of the positive and negative moment during launch.

Assessment of nonlocal nonlinear free vibration of bi-directional functionally-graded Timoshenko nanobeams

  • Elnaz Zare;Daria K. Voronkova;Omid Faraji;Hamidreza Aghajanirefah;Hamid Malek Nia;Mohammad Gholami;Mojtaba Gorji Azandariani
    • Advances in nano research
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    • v.16 no.5
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    • pp.473-487
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    • 2024
  • The current study employs the nonlocal Timoshenko beam (NTB) theory and von-Kármán's geometric nonlinearity to develop a non-classic beam model for evaluating the nonlinear free vibration of bi-directional functionally-graded (BFG) nanobeams. In order to avoid the stretching-bending coupling in the equations of motion, the problem is formulated based on the physical middle surface. The governing equations of motion and the relevant boundary conditions have been determined using Hamilton's principle, followed by discretization using the differential quadrature method (DQM). To determine the frequencies of nonlinear vibrations in the BFG nanobeams, a direct iterative algorithm is used for solving the discretized underlying equations. The model verification is conducted by making a comparison between the obtained results and benchmark results reported in prior studies. In the present work, the effects of amplitude ratio, nanobeam length, material distribution, nonlocality, and boundary conditions are examined on the nonlinear frequency of BFG nanobeams through a parametric study. As a main result, it is observed that the nonlinear vibration frequencies are greater than the linear vibration frequencies for the same amplitude of the nonlinear oscillator. The study finds that the difference between the dimensionless linear frequency and the nonlinear frequency is smaller for CC nanobeams compared to SS nanobeams, particularly within the α range of 0 to 1.5, where the impact of geometric nonlinearity on CC nanobeams can be disregarded. Furthermore, the nonlinear frequency ratio exhibits an increasing trend as the parameter µ is incremented, with a diminishing dependency on nanobeam length (L). Additionally, it is established that as the nanobeam length increases, a critical point is reached at which a sharp rise in the nonlinear frequency ratio occurs, particularly within the nanobeam length range of 10 nm to 30 nm. These findings collectively contribute to a comprehensive understanding of the nonlinear vibration behavior of BFG nanobeams in relation to various parameters.

Unsteady Mass Transfer Around Single Droplet Accompanied by Interfacial Extraction Reaction of Succinic Acid (숙신산 추출반응이 일어나는 단일 액적계에서의 비정상상태 물질 전달)

  • Jeon, Sangjun;Hong, Won Hi
    • Korean Chemical Engineering Research
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    • v.50 no.6
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    • pp.1021-1026
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    • 2012
  • The transient mass transfer in a single droplet system consisting of 1-octanol (continuous phase)/aqueous succinic acid solution (dispersed phase) was investigated in the presence of chemical reaction, which is acid/anion exchange reaction of succinic acid and tri-n-octylamine (TOA). This succinic acid extraction by TOA can be considered to occur at the interface between organic and aqueous phase, that is, heterogeneous reaction system. The basic properties of the system such as viscosity, density, distribution coefficient, terminal velocity of droplet, and diffusion coefficient were measured experimentally or calculated theoretically, and used for theoretical calculation of characteristic parameters of mass transfer later. The effects of succinic acid concentration on the terminal velocity was negligible in the existence of TOA, although the terminal velocity increases with succinic acid concentration in the absence of TOA. On the contrary, the terminal velocity decreases with TOA concentration. While droplets falls through organic phase, the trajectory of droplets is observed to oscillate around its vertical path. A mass trnasfer cell was prepared to monitor the mass transfer behavior in a single droplet and used to measure the mean concentration of succinic acid inside droplet. The results are expressed with dimensionless parameters. Under 50 g/L succinic acid condition, the system with 0.1 mol/kg TOA showed that the molar flux decreases in proportion to the decrease of concentration gradient, while in the case of 0.5 mol/kg TOA Sh increases rapidly with time indicating the molar flux of succinic acid decreases relatively slowly compared to the decrease in concentration gradient.

Mathematical Models of Substrate Utilization within Bacterial Films (미생물막(微生物膜)을 이용(利用)한 폐수처리(廢水處理)의 수학적(數學的) 모델에 관한 연구(研究))

  • Chung, Tai Hak
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.1 no.1
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    • pp.43-51
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    • 1981
  • A model of substrate utilization witbin bacterial films has been developed and simulated for a better understanding of fixed film treatment processes. The model consists of two parts, a deep biofilm and a thin biofilm, which are classified based on substrate penetration into the biofilm. Substrate concentration and flux within a biofilm can be computed from the model. Three dimensionless parameters, ${\phi}_1$, ${\phi}_2$ and $\bar{S}_b$ were obtained during model construction, and the substrate concentration and flux can be expressed in terms of these parameters. It has been found that an. increase of ${\phi}_1$ or a decrease of ${\phi}_2$ results in an increase of treatment efficiencies. It has also been found that systems maintaining high efficiencies belong to a deep biofilm. Among the constants involved, the mass transfer coefficient is the only controllable term and it depends Largely on fluid velocity near the biofilm surface. Substrate removal efficiency may be increased with an increase of fluid velocity for a biofilm of fixed depth. However, film depth is decreased due to sloughing with increasing velocity, and the system reaches a new steady state. Because changes in film depth are not well defined quantitatively yet, the efficiency can not be clearly described at a new steady state.

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