• Title/Summary/Keyword: Simplified 1-Dimensional Model

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Particle-Structure Collision Modeling for Topology Optimization (위상최적설계를 위한 입자-구조 충돌 모델)

  • Young Hun Choi;Gil Ho Yoon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.36 no.6
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    • pp.365-370
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    • 2023
  • This paper presents a particle-structure collision model for topology optimization, which requires sensitivity analysis. Therefore, a new model that incorporates sensitivity analysis is needed. The proposed particle-structure collision model conducts sensitivity analysis for topology optimization. To evaluate the accuracy of the proposed model, it was applied to a simplified one-dimensional collision problem. Optimization of the final positions of particles using topology optimization through this model confirmed the suitability of the proposed approach. These results demonstrate that it is possible to consider particle-structure collision in topology optimization.

One-D Model Prediction of Pollutant Transport at a Canal Network (수로망에서의 오염물질 확산의 1차원 예측)

  • Lee, Jung-Lyul;Hsiang Wang
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.1
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    • pp.51-60
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    • 1994
  • A one-dimensional numerical model has been developed through a Lagragian formulation, which is applicable to advection and diffusion of dissolved matters in storages. The study was conducted to the pollutants released into a canal network in Burnt Store Isles, Punta Gorda, Florida. USA. The hydrodynamic model was developed by using an implicit finite difference scheme. In the computational domain, the network system consists of prismatic channels and storages. The finger canals and small tributaries ale treated as storages in the simplified flow network The numerical results show relatively good agreement with field experiments.

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Finite element analysis of stress distribution on supporting bone of posterior implant partial dentures by loading location (유한요소 분석을 이용한 하중 위치에 따른 구치부 임플란트 국소의치 지지골의 응력 분포 연구)

  • Son, Sung-Sik;Kim, Young-Jick;Lee, Myung-Kon
    • Journal of Technologic Dentistry
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    • v.29 no.1
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    • pp.93-101
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    • 2007
  • The purpose of this study is to evaluate the effect of three different oblique mechanical loading to occlusal surfaces of posterior implant partial dentures on the stress distributions in surrounding bone, using 3-dimensional finite element method. A 3-dimensional finite element model of a posterior implant partial dentures composed of three unit implants, simplified 3 gold alloy crown and supporting bone was developed according to the design of AVANA self tapping implant for this study. Three kinds of surface distributed oblique loads(300 N) are applied to following occlusal surfaces in the three crowns; 1) All occlusal surfaces in the three crown(load of 300 N was shared to three crown), 2) Occlusal surface of centered crown (load of 300 N was applied to a centered crown), 3) Occlusal surface of proximal crown(load of 300 N was applied to a distal proximal crown). In the results, 141 MPa of maximum von Mises stress was calculated at third loading condition and 98 MPa of minimum von Mises stress was calculated at first loading condition. From the results, location and type of occlusive loading conditions are important for the safety of supporting bone.

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Design of spectrally encoded real-time slit confocal microscopy (파장 코딩된 실시간 슬릿 공초점 현미경의 설계)

  • Kim Jeong-Min;Kang Dong-Kyun;Gweon Dae-Gab
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.576-580
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    • 2005
  • New real-time confocal microscopy using spectral encoding technique and slit confocal aperture is proposed and designed. Spectral encoding technique, which encodes one-dimensional spatial information of a specimen in wavelength, and slit aperture make it possible to obtain two-dimensional lateral image of the specimen simultaneously at standard video rates without expensive scanning units such as polygon mirrors and galvano mirrors. The working principle and the configuration of the system are explained. The variation in axial responses for the simplified model of the system with normalized slit width is numerically analyzed based on the wave optics theory. Slit width that directly affects the depth discrimination of the system is determined by a compromise between axial resolution and signal intensity from the simulation result. On the assumption of the lateral sampling resolution of 50 nm, design variables and governing equations of the system are derived. The system is designed to have the mapping error less than the half pixel size, to be diffraction-limited and to have the maximum illumination efficiency. The designed system has the FOV of $12.8um{\times}9.6um$, the theoretical axial FWHM of 1.1 um and the lateral magnification of-367.8.

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GENERALIZED THERMO ELASTIC WAVES IN A CYLINDRICAL PANEL EMBEDDED ON ELASTIC MEDIUM

  • Ponnusamy, P.;Selvamani, R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.17 no.1
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    • pp.1-15
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    • 2013
  • In this paper the three dimensional wave propagation in a homogeneous isotropic thermo elastic cylindrical panel embedded in an elastic medium (Winkler model) is investigated in the context of the L-S (Lord-Shulman) theory of generalized thermo elasticity. The analysis is carried out by introducing three displacement functions so that the equations of motion are uncoupled and simplified. A Bessel function solution with complex arguments is then directly used for the case of complex Eigen values. This type of study is important for design of structures in atomic reactors, steam turbines, wave loading on submarine, the impact loading due to superfast train and jets and other devices operating at elevated temperature. In order to illustrate theoretical development, numerical solutions are obtained and presented graphically for a zinc material with the support of MATLAB.

A Numerical Study on the Lean-Rich Interaction of Methane/Air Flames (희박-과농 메탄 화염의 상호작용에 관한 수치해석적 연구)

  • Lee, Seung-Dong;Jeong, Seok-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.1
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    • pp.377-383
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    • 1996
  • Interaction of flames in a lean-rich concentration field is studied numerically adopting a counterflow as a model problem. Detailed kinetic mechanism is adopted in analyzing the structure of various type of flames which can be found in lean-rich interaction. Flow field is simplified to quasi one-dimensional by using boundary layer approximation and similarity formulation. Triple flames are identified and its structure shows that a diffusion flame is located in the middle of two premixed flames. Such a diffusion flame is formed by $H_2$ and CO generated from the rich premixed flame and $O_2$ leaked from the lean premixed flame. The flame position can be identified either from the hydrogen production rate or the heat release rate. Transition from single diffusion flame to triple flame is observed as degree of premixing is increased.

Simplified finite element modelling of non uniform tall building structures comprising wall and frame assemblies including P-Δ effects

  • Belhadj, Abdesselem Hichem;Meftah, Sid Ahmed
    • Earthquakes and Structures
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    • v.8 no.1
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    • pp.253-273
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    • 2015
  • The current investigation has been conducted to examine the effect of gravity loads on the seismic responses of the doubly asymmetric, three-dimensional structures comprising walls and frames. The proposed model includes the P-${\Delta}$ effects induced by the building weight. Based on the variational approach, a 3D finite element with two nodes and six DOF per node including P-${\Delta}$ effects is formulated. Dynamic and static governing equations are derived for dynamic and buckling analyzes of buildings braced by wall-frame systems. The influences of P-${\Delta}$ effects and height of the building on tip displacements under Hachinohe earthquake record are investigated through many structural examples.

Finite Element Analysis for Circulation Phenomena in Sudden Expansion of Open Channel (유한요소법을 이용한 개수로단면급확대부의 순환현상해석)

  • 윤태훈;서승원
    • Water for future
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    • v.21 no.1
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    • pp.67-76
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    • 1988
  • Analyzed was the circulation phenomena in the open channel with sudden expansion, by applying the Galerkin's finite element method to the depth-averaged 2-dimensional continuity and momentum equations. Wave tests were done in the simplified channel in order to review the validity of this newly developed model and the computed results were within 0.5% of $L_2$-norm error, and application of this model to the simulation of simplified dam-break gave very close results compared with the analytical solution, thus, it can be concluded that this model is valid and efficient. The main flow in the expanded channel was defined as a new initial condition with given velocity and the flow in the expanded portion was at rest in simulating the circulation, and besides the Neumann's condition the slip boundary condition for lateral wall was found to be proper condition than the no-slip condition. It can be concluded, from the numerical tests in the sudden expension, that the circulating phenomena depend mainly on the convective inertia and the effect of turbulence due to bottom shear and lateral shear is insignificant.

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Water Quality Prediction Model in a Lake by Finite Element Method;Application to Sapkyo Lake (유한요소법에 의한 호소의 수질예측모형;삽교 담수호에 적용하여)

  • Ryu, Byong-Ro;Ahn, Sang-Jin
    • Korean Journal of Environmental Agriculture
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    • v.8 no.1
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    • pp.37-46
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    • 1989
  • A 2-dimensional pollutant transport phenomenon in shallow reservoirs was analyzed by using a finite element method. The Galerkin's weighted residual method, based on linear interpolation, was used and a triangle was adopted as an element. The two dimensional Stock's equation and the advection-diffusion equation integrated over depth were used as governing equations. Also the Newton-Raphson method was introduced to solve the non-linear terms of the equation. The results calculated by the model are in good agreement with the analytical solution for a simplified channel where a known solution is avaiable. An actual application of the model is attempted for Sapkyo Lake with a consideration of the influx of the Sapkyo Chun, the Muhan Chun and kogkyo Chun. Further refined research is needed to evaluate the water quality in the other reservoirs.

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Bending moments in raft of a piled raft system using Winkler analysis

  • Jamil, Irfan;Ahmad, Irshad
    • Geomechanics and Engineering
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    • v.18 no.1
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    • pp.41-48
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    • 2019
  • Bending moments in the raft of a pile raft system is affected by pile-pile interaction and pile-raft interaction, amongst other factors. Three-Dimensional finite element program has to be used to evaluate these bending moments. Winkler type analysis is easy to use but it however ignores these interactions. This paper proposes a very simplified and novel method for finding bending moments in raft of a piled raft based on Winkler type where raft is supported on bed of springs considering pile-pile and pile-raft interaction entitled as "Winkler model for piled raft (WMPR)" The pile and raft spring stiffness are based on load share between pile and raft and average pile raft settlement proposed by Randolph (1994). To verify the results of WMPR, raft bending moments are compared with those obtained from PLAXIS 3D software. A total of sixty analysis have Performed varying different parameters. It is found that raft bending moments obtained from WMPR closely match with bending moments obtained from PLAXIS 3D. A comparison of bending moments ignoring any interaction in Winkler model is also made with PLAXIS-3D, which results in large difference of bending moments. Finally, bending moment results from eight different methods are compared with WMPR for a case study. The WMPR, though, a simple method yielded comparable raft bending moments with the most accurate analysis.