• Title/Summary/Keyword: Element group

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Contact Element Generation Method for Casting Analysis by using Projection Method (Projection Method에 의한 주조 해석용 접촉 요소망 생성 기법)

  • Nam, Jeong-Ho;Kwak, Si-Young
    • Journal of Korea Foundry Society
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    • v.40 no.6
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    • pp.146-150
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    • 2020
  • In general, hot metal castings contract and molds expand during the cooling step of a casting process. Therefore, it is important to consider both the casting and mold at the same time in a casting process analysis. For a more accurate analysis that includes the contact characteristics, matching each node of the casting and mold in the contact area is recommended. However, it is very difficult to match the nodes of the casting and the mold when generating elements due to the geometric problem of CAD model data. The present study proposes a mesh generation technique that considers mechanical contact between the casting and the mold in a casting analysis (finite element analysis). The technique focuses on the fact that the mold surrounds the casting. After generating the 3D elements for the casting, the surface elements of the casting in contact with the mold are projected inside the mold to create contact elements that coincide with the contact surface of the casting. It was confirmed that high-quality contact element information and a 3D element net can be automatically generated by the method proposed in this study.

Energy Flow Finite Element Analysis for High Frequency Acoustic and Vibrational Prediction of Complicated Plate Structures Considering Fluid-Structure Interaction (복합평판구조물의 고주파수 대역 유체/구조 연성 소음진동예측을 위한 에너지흐름유한요소해석)

  • Tae-Heum Yoon;Young-Ho Park
    • Journal of the Society of Naval Architects of Korea
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    • v.60 no.1
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    • pp.20-30
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    • 2023
  • In this paper, the Energy Flow Finite Element Analysis (EFFEA) was performed to predict the acoustic and vibrational responses of complicated plate structures considering improved Fluid-Structure Interaction (FSI). For this, a new power transfer relationship was derived at the area junction where two different fluids are in contact on both sides of the plate. In order to increase the reliability of EFFEA of complicated plate structures immersed in a high-density fluid, the corrected flexural wavenumber and group velocity considering fluid-loading effect were derived. As the specific acoustic impedance of the fluid in contact with the plate increases, the flexural wavenumber of the plate increases. As a result, the flexural group velocity is reduced, and the spatial damping effect of the flexural energy density is increased. Additionally, for the EFFEA of arbitary-shaped built-up structures, the energy flow finite element formulation for the acoustic tetrahedral element was newly performed. Finally, for validation of the derived theory and developed software, numerical applications of complicated plate structures submerged in seawater or air were successfully performed.

CANONICAL LEFT CELLS AND THE SHORTEST LENGTH ELEMENTS IN THE DOUBLE COSETS OF WEYL GROUPS

  • Kwon, Nam-Hee
    • Honam Mathematical Journal
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    • v.33 no.1
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    • pp.19-25
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    • 2011
  • Let G be the general linear group GL(n,$\mathbb{C}$), $W_0$ the Weyl group of G and W the extended a neWeyl group of G. Then it is well-known that W is a union of the double cosets $W_{0x}W_0$ as x moves over the set of dominant weights of W. It is also known that each double coset $W_{0x}W_0$ contains a unique element $m_x$ of the shortest length. These shortest length elements belong to what are called the canonical left cells. However, it is still an open problem to find the canonical left cell containing a given $m_x$. One of the mai purposes of this paper is to introduce a new approach to attack this question. In particular, we will present a conjecture which explicitly describes the canonical left cells containing an element $m_x$. We will show that our conjecture is true for some specific types of $m_x$.

Nonlinear analysis of interaction between flexible pile group and soil

  • Liu, Jie;Li, Q.S.;Wu, Zhe
    • Structural Engineering and Mechanics
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    • v.20 no.5
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    • pp.575-587
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    • 2005
  • Using the nonlinear load transfer function for pile side soil and the linear load transfer function for pile end soil, a combined approach of the incremental load transfer matrix method and the approximate differential equation solution method is presented for the nonlinear analysis of interaction between flexible pile group and soil. The proposed method provides an effective approach for the solution of the nonlinear interaction between flexible pile group under rigid platform and surrounding soil. To verify the accuracy of the proposed method, a static load test for a nine-pile group under a rigid platform is carried out. The finite element analysis is also conducted for comparison purposes. It is found that the results from the proposed method match very well with those from the experimental test and are better in comparison with the finite element method.

Analysis of Lumped Element Negative Group Delay Circuit (집중 소자형 음의 군지연 회로 설계)

  • Jeong, Yong-Chae;Choi, Heung-Jae;Kim, Chul-Dong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.2
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    • pp.374-379
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    • 2010
  • In this paper, we have mathematically analyzed lumped element type negative group delay circuit (NGDC) and derived general design equation. The applicability of the proposed design equation is validated with mathematical and circuit simulation as well as with experimental results for intentional mobile telecommunication 2000 (IMT-2000) downlink band. As a design example, single branch NGDC with -0.8ns of group delay (GD) for narrow bandwidth of the specific frequency is simulated and fabricated. Finally, $\pi$-network NGDC is proposed and validated to obtain wideband GD response of $-1.7{\pm}0.06$ nsec for 60 MHz.

ON A CLASS OF TERNARY COMPOSITION ALGEBRAS

  • Elduque, Alberto
    • Journal of the Korean Mathematical Society
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    • v.33 no.1
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    • pp.183-203
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    • 1996
  • When dealing with a Lie group or, in general, with an analytic loop or quasigroup, its symmetry is broken by the election of the distinguished identity element.

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Behavior of piled rafts overlying a tunnel in sandy soil

  • Al-Omari, Raid R.;Al-Azzawi, Adel A.;AlAbbas, Kadhim A.
    • Geomechanics and Engineering
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    • v.10 no.5
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    • pp.599-615
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    • 2016
  • The present research presents experimental and finite element studies to investigate the behavior of piled raft-tunnel system in a sandy soil. In the experimental work, a small scale model was tested in a sand box with load applied vertically to the raft through a hydraulic jack. Five configurations of piles were tested in the laboratory. The effects of pile length (L), number of piles in the group and the clearance distance between pile tip and top of tunnel surface (H) on the load carrying capacity of the piled raft-tunnel system are investigated. The load sharing percent between piles and rafts are included in the load-settlement presentation. The experimental work on piled raft-tunnel system yielded that all piles in the group carry the same fraction of load. The load carrying capacity of the piled raft-tunnel model was increased with increasing (L) for variable (H) distances and decreased with increasing (H) for constant pile lengths. The total load carrying capacity of the piled raft-tunnel model decreases with decreasing number of piles in the group. The total load carrying capacity of the piles relative to the total applied load (piles share) increases with increasing (L) and the number of piles in the group. The increase in (L/H) ratio for variable (H) distance and number of piles leads to an increase in piles share. ANSYS finite element program is used to model and analyze the piled raft-tunnel system. A three dimensional analysis with elastoplastic soil model is carried out. The obtained results revealed that the finite element method and the experimental modeling are rationally agreed.

Numerical modelling and finite element analysis of stress wave propagation for ultrasonic pulse velocity testing of concrete

  • Yaman, Ismail Ozgur;Akbay, Zekai;Aktan, Haluk
    • Computers and Concrete
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    • v.3 no.6
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    • pp.423-437
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    • 2006
  • Stress wave propagation through concrete is simulated by finite element analysis. The concrete medium is modeled as a homogeneous material with smeared properties to investigate and establish the suitable finite element analysis method (explicit versus implicit) and analysis parameters (element size, and solution time increment) also suitable for rigorous investigation. In the next step, finite element analysis model of the medium is developed using a digital image processing technique, which distinguishes the mortar and aggregate phases of concrete. The mortar and aggregate phase topologies are, then, directly mapped to the finite element mesh to form a heterogeneous concrete model. The heterogeneous concrete model is then used to simulate wave propagation. The veracity of the model is demonstrated by evaluating the intrinsic parameters of nondestructive ultrasonic pulse velocity testing of concrete. Quantitative relationships between aggregate size and testing frequency for nondestructive testing are presented.

Underwater Structure-Borne Noise Analysis Using Finite Element/Boundary Element Coupled Approach (유한요소/경계요소 연성해석을 통한 수중 구조기인소음 해석)

  • Lee, Doo-Ho;Kim, Hyun-Sil;Kim, Bong-Ki;Lee, Seong-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.7
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    • pp.789-796
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    • 2012
  • Radiated noise analysis from a ship structure is a challenging topic owing to difficulties in the accurate calculation of the fluid-structure interaction as well as owing to a massive degree of freedom of the problem. To reduce the severity of the problem, a new fluid-structure interaction formulation is proposed in this paper. The complex frequency-dependent added mass and damping matrices are calculated using the high-order Burton-Miller boundary integral equation formulation to obtain accurate values over all frequency bands. The calculated fluid-structure interaction effects are added to the structural matrices calculated by commercial finite element software, MSC/NASTRAN. Then, the impedance and underwater radiation noise due to an excitation of structure are calculated. The present formulation is applied to a ship to calculate the underwater radiated noise.

A property of surface groups

  • Moon, Myoung-Ho
    • Communications of the Korean Mathematical Society
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    • v.11 no.3
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    • pp.825-829
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    • 1996
  • We prove that if G is the fundamental group of a closed surface or a Seifert fibered space and K is a finitely generated subgroup of G, and if for any element g in G there exists an integer $n_g$ such that $g^{n_g}$ belongs to K, then K is of finite index in G.

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