• Title/Summary/Keyword: Euler-lagrange method

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Analysis of Unstable Droplet Behavior of Liquid Rocket Engine (액체로켓엔진의 불안정 액적 거동의 해석)

  • 이윤용;노태성
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2003.05a
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    • pp.141-144
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    • 2003
  • For the analysis of combustion instabilities of a liquid locket engine, a simple spray combustion model has been analyzed by the Euler-Lagrange method. Gas temperature, droplet trajectory, and droplet radius have been evaluated on 2-D axisymmetric coordinates. The Euler-Lagrange method has been shown to have a good tendency of gas temperature distribution as well as droplet trajectory and radius change.

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The Container Pose Measurement Using Computer Vision (컴퓨터 비젼을 이용한 컨테이너 자세 측정)

  • 주기세
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.3
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    • pp.702-707
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    • 2004
  • This article is concerned with container pose estimation using CCD a camera and a range sensor. In particular, the issues of characteristic point extraction and image noise reduction are described. The Euler-Lagrange equation for gaussian and random noise reduction is introduced. The alternating direction implicit(ADI) method for solving Euler-Lagrange equation based on partial differential equation(PDE) is applied. The vertex points as characteristic points of a container and a spreader are founded using k order curvature calculation algorithm since the golden and the bisection section algorithm can't solve the local minimum and maximum problems. The proposed algorithm in image preprocess is effective in image denoise. Furthermore, this proposed system using a camera and a range sensor is very low price since the previous system can be used without reconstruction.

Dynamic Analysis of a Humanoid Robot Using F.E.M Analysis Program (F.E.M 해석 프로그램을 이용한 휴머노이드 로봇의 동역학 해석)

  • Cho, Hyoung-Rae;Kong, Jung-Shik;Lee, Bo-Hee;Kim, Jin-Geol;Huh, Uk-Youl
    • Proceedings of the KIEE Conference
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    • 2005.10b
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    • pp.591-593
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    • 2005
  • This paper presents the dynamic analysis of a humanoid robot using Nastran that is one of FEM analysis program. Generally, computer program based on the Lagrange-Euler method or Newton-Euler method was used for dynamic analysis of a robot. The Lagrange-Euler method requires much calculation performance and it is also hard to apply to complex structure, and the Newton-Euler method limits accurate modeling and calculation for closed structure like a humanoid robot. In this paper, mechanical and structural data are obtained from the Nastran. It is possible for Nastran to make model similar to real system and can apply a physical properties and laws to model. So, accurate simulation is possible. From this result, accurate data is gained by Nastran. Furthermore, this method is shown to be a useful method that guarantees accuracy for trajectory planning.

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Blast Analysis and Damage Evaluation for Reinforced Concrete Building Structures (RC Building 구조물의 폭발해석 및 손상평가)

  • Park, Yang Heum;Yun, Sung-Hwan;Jang, Il Young
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.41 no.4
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    • pp.331-340
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    • 2021
  • The blast damage behavior of reinforced concrete (RC) structures exposed to unexpected extreme loading was investigated. To enhance the accuracy of numerical simulation for blast loading on RC structures with seven blast points, the calculation of blast loads using the Euler-flux-corrected-transport method, the proposed Euler-Lagrange coupling method for fluid-structure interaction, and the concrete dynamic damage constitutive model including the strain rate-dependent strength and failure models was implemented in the ANSYS-AUTODYN solver. In the analysis results, in the case of 20 kg TNT, only the slab member at three blast points showed moderate and light damage. In the case of 100 kg TNT, the slab and girder members at three blast points showed moderate damage, while the slab member at two blast points showed severe damage.

Analysis of Reinforced Concrete Panel subjected to Blast Load using Parallel and Domain Decomposition (병렬과 영역분할을 이용한 폭발하중을 받는 철근콘크리트패널의 해석)

  • Park, Jae-Won;Yun, Sung-Hwan;Park, Tae-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.4
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    • pp.365-373
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    • 2011
  • Damage of reinforced concrete panel subjected to blast load using parallel and domain decomposition is analyzed. The numerical results are sensitive to the mesh size because blast waves are generated during the extremely short term. In order to investigate the effect of mesh size on the blast wave, the analysis results from various wave mesh size using AUTODYN, the explicit finite element analysis program, were compared with existing experimental results. The smaller mesh size was, the higher accuracy was. However, in this case, the analysis was inefficient. Therefore, in order to increase numerical efficiency, the parallel analysis using decomposed method based on Euler and Lagrangian description was performed. Finally, the decomposed method using both the structure domain based on Lagrange description and the blast wave domain based on Euler description was more efficient than the decomposed method using only the Lagrange mesh on structure domain.

Dynamic response of concrete gravity dams using different water modelling approaches: westergaard, lagrange and euler

  • Altunisik, A.C.;Sesli, H.
    • Computers and Concrete
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    • v.16 no.3
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    • pp.429-448
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    • 2015
  • The dams are huge structures storing a large amount of water and failures of them cause especially irreparable loss of lives during the earthquakes. They are named as a group of structures subjected to fluid-structure interaction. So, the response of the fluid and its hydrodynamic pressures on the dam should be reflected more accurately in the structural analyses to determine the real behavior as soon as possible. Different mathematical and analytical modelling approaches can be used to calculate the water hydrodynamic pressure effect on the dam body. In this paper, it is aimed to determine the dynamic response of concrete gravity dams using different water modelling approaches such as Westergaard, Lagrange and Euler. For this purpose, Sariyar concrete gravity dam located on the Sakarya River, which is 120km to the northeast of Ankara, is selected as a case study. Firstly, the main principals and basic formulation of all approaches are given. After, the finite element models of the dam are constituted considering dam-reservoir-foundation interaction using ANSYS software. To determine the structural response of the dam, the linear transient analyses are performed using 1992 Erzincan earthquake ground motion record. In the analyses, element matrices are computed using the Gauss numerical integration technique. The Newmark method is used in the solution of the equation of motions. Rayleigh damping is considered. At the end of the analyses, dynamic characteristics, maximum displacements, maximum-minimum principal stresses and maximum-minimum principal strains are attained and compared with each other for Westergaard, Lagrange and Euler approaches.

A study of sedimentation processes in Seamangeum coastal area (새만금지구의 퇴적과정에 관한 연구)

  • Sin Mun-Seop;Yu Cheol-Ung;Kim Ik-Jung
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1997.10a
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    • pp.73-76
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    • 1997
  • The purpose of this study is to find sedimentation patterns variation in Saemangeum coastal sea region. Water circulations are calculated diagnostically from the observed water temperature and salinity data and wind data and tidal residual current. Three dimensional movements of injected particles due In currents, turbulence and sinking velocity are tracked by the Euler-lagrange method. Calculated sedimentation patterns of riverine material are highly similar to the observed ones.

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APPROXIMATE EULER-LAGRANGE-JENSEN TYPE ADDITIVE MAPPING IN MULTI-BANACH SPACES: A FIXED POINT APPROACH

  • Moradlou, Fridoun
    • Communications of the Korean Mathematical Society
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    • v.28 no.2
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    • pp.319-333
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    • 2013
  • Using the fixed point method, we prove the generalized Hyers-Ulam-Rassias stability of the following functional equation in multi-Banach spaces: $${\sum_{1{\leq}i_<j{\leq}n}}\;f(\frac{r_ix_i+r_jx_j}{k})=\frac{n-1}{k}{\sum_{i=1}^n}r_if(x_i)$$.

A study of Sedimentation Processes in Estuary of the Geum river before and after Saemangeum reclamation (새만금 간척전·후 금강 하구의 퇴적 과정에 관한 연구)

  • Shin, Moon Seup;Bae, Ki Seong;Kim, Nam Hyeong
    • Journal of the Korean GEO-environmental Society
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    • v.2 no.3
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    • pp.5-15
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    • 2001
  • The purpose of this study is to find sedimentation patterns variation before and after the Saemangeum reclamation. Water circulations before and after the Saemangeum reclamation are calculated diagnostically and prognostically from the water temperature, salinity data, wind data and tidal residual current. Three dimensional movements of injected particles due to currents, turbulence and sinking velocity are tracked by the Euler-lagrange method. The dispersion range of soil grain for one and three day after releasing in the Geum river indicates that the soil grain was sedimented coastal area of Janghang and outer harbor of Kunsan. The soil grain moves a quite distance from the release point when size of soil grain is a small. These results indicate that size of soil grain and residual current is greatly influenced on the dispersion range of soil grain.

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A Study of Sedimentation Processes of Saemangeum Reclamation(II) - A Study of Sedimentation Processes after Saemangeum Reclamation - (새만금간척 퇴적과정에 관한 연구(II) -새만금간척 시행 후를 중심으로-)

  • 신문섭
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.44 no.5
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    • pp.33-40
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    • 2002
  • The purpose of this study is to find the variation of sedimentation patterns after Saemangeum reclamation. Residual flow after Saemangeum reclamation was calculated prognostically from the observed water temperature and salinity data in May 1992 by the Marine Development Institute of Gunsan National University and wind data which were obtained from spring 1969 through winter 1977 by the Kunsan Meteorological Observatory. Three dimensional movements of injected particles due to currents, turbulence and sinking velocity are tracked by the Euler-Lagrange method. When suspended sediments with the size of soil grain of 30 ㎛ are injected in the Sinsi drainage sluice, their dispersion range of sediment is around Gogunsan islands. When suspended sediments with the size of soil grain of 200 ㎛ are injected in the Garyeok drainage sluice, their dispersion range of sediment was around the Garyeok drainage sluice and Byeonsan coastal area.