• Title/Summary/Keyword: analytic geometry

Search Result 108, Processing Time 0.027 seconds

Sensitivity Analysis on Hybrid Element Model for Harbor Oscillation (항만 공진에 대한 복합요소 수치모형의 민감도 분석)

  • 정원무;박우선
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.8 no.2
    • /
    • pp.174-184
    • /
    • 1996
  • In the present study, for fully-open rectangular harbors, sensitivity analyses are made for the major parameters which are relevant to the practical application of a hybrid element model widely used fur the analysis of harbor oscillation. The results show that it is desirable to extend the finite element region to the area in which depth change is not large and that it is appropriate to take the depth of the outer region for analytic solution as the average along the boundary between the two regions. It is expected that the number of Fourier components of the analytic solution may not be important for a constant-depth simple-shaped harbor but its significance may increase for harbors of varying depth and complex geometry. It is found that the effect of incident wave direction is not significant for the first resonance mode but its effect becomes important as the bottom slope increases, especially for the higher resonance modes.

  • PDF

A parameter sweep approach for first-cut design of 5 MW Ship propulsion motor

  • Bong, Uijong;An, Soobin;Im, Chaemin;Kim, Jaemin;Hahn, Seungyong
    • Progress in Superconductivity and Cryogenics
    • /
    • v.21 no.1
    • /
    • pp.25-30
    • /
    • 2019
  • This paper presents a conceptual design approach of air-cored synchronous machine with high temperature superconductor (HTS) field winding. With a given configuration of a target machine, boundary conditions are set in the cylindrical coordinate system and analytic field calculation is performed by solving a governing equation. To set proper boundary conditions, current distributions of the field winding and the armature winding are expressed by the Fourier expansion. Based on analytic magnetic field calculation results, key machine parameters are calculated: 1) inductance, 2) critical current of field winding, 3) weight, 4) HTS conductor consumption, and 5) efficiency. To investigate all potential design options, 6 sweeping parameters are determined to characterize the geometry of the machine and the parameter calculation process is performed for each design options. Among design options satisfying constraints including >80 % critical current margin and >95 % efficiency, in this paper, a first-cut design was selected in terms of overall machine weight and HTS conductor consumption to obtain a lightweight and economical design. The goal is to design a 5-MW machine by referring to the same capacity machine that was previously constructed by another group. Our design output is compared with finite element method (FEM) simulation to validate our design approach.

Traffic-Aware Relay Sleep Control for Joint Macro-Relay Network Energy Efficiency

  • Deng, Na;Zhao, Ming;Zhu, Jinkang;Zhou, Wuyang
    • Journal of Communications and Networks
    • /
    • v.17 no.1
    • /
    • pp.47-57
    • /
    • 2015
  • With the ever growing demand of data applications, the joint macro-relay networks are emerging as a promising heterogeneous deployment to provide coverage extension and throughput enhancement. However, the current cellular networks are usually designed to be performance-oriented without enough considerations on the traffic variation, causing substantial energy waste. In this paper, we consider a joint macro-relay network with densely deployed relay stations (RSs), where the traffic load varies in both time and spatial domains. An energy-efficient scheme is proposed to dynamically adjust the RS working modes (active or sleeping) according to the traffic variations, which is called traffic-aware relay sleep control (TRSC). To evaluate the performance of TRSC,we establish an analytical model using stochastic geometry theory and derive explicit expressions of coverage probability, mean achievable rate and network energy efficiency (NEE). Simulation results demonstrate that the derived analytic results are reasonable and the proposed TRSC can significantly improve the NEE when the network traffic varies dynamically.

Electric Discharge Analysis Using Nonlinarly-Coupled Equation of Electromagnetic Field and Charge Transport (방전현상 해석을 위한 전자장 및 전하이동 방정식의 비선형 결합 알고리즘)

  • Lee, Se-Yeon;Park, Il-Han;Lee, Se-Hee
    • Proceedings of the KIEE Conference
    • /
    • 2006.07c
    • /
    • pp.1494-1495
    • /
    • 2006
  • A complete finite element analysis method for discharge onset process, which is governed and coupled by charge transport equation and electric field equation, was presented. The charge transport equation of first order was transformed into a second-order one by utilizing the artificial diffusion scheme. The two second-order equations were analyzed by the finite element formulation which is well-developed for second-order ones. The Fowler-Nordheim injection boundary condition was adopted for charge transport equation. After verifying the numerical results by comparing to the analytic solutions using parallel plane electrodes with one carrier system, we extended the result to blade-plane electrodes in 2D xy geometry with three carriers system. Radius of the sharp tip was taken to be 50 ${\mu}m$. When this sharp geometry was solved by utilizing the space discretizing methods, the very sharp tip was found to cause a singularity in electric field and space charge distribution around the tip. To avoid these numerical difficulties in the FEM, finer meshes, a higher order shape function, and artificial diffusion scheme were employed.

  • PDF

In-Plane Buckling Analysis of Asymmetric Curved Beam Using DQM (미분구적법(DQM)을 이용한 비대칭 곡선보의 내평면 좌굴해석)

  • Kang, Ki-Jun;Park, Cha-Sik
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.14 no.10
    • /
    • pp.4706-4712
    • /
    • 2013
  • One of the efficient procedures for the solution of partial differential equations is the method of differential quadrature. This method has been applied to a large number of cases to circumvent the difficulties of programming complex algorithms for the computer, as well as excessive use of storage due to conditions of complex geometry and loading. Under in-plane uniform distributed load, the buckling of asymmetric curved beam with varying cross section is analyzed by using differential quadrature method (DQM). Critical load due to diverse cross section variation and opening angle is calculated. Analysis result of DQM is compared with the result of exact analytic solution. As DQM is used with small grid points, exact analysis result is shown. New result according to diverse cross section variation is also suggested.

A Study on the Residual Leakage Field in the Surface Defect of Alloy Steel (합금강 표면결함의 잔류누설자장에 관한 연구)

  • Lee, I.S.;Park, U.S.
    • Journal of the Korean Society for Nondestructive Testing
    • /
    • v.9 no.1
    • /
    • pp.22-29
    • /
    • 1989
  • The important point of MPI is the analysis of leakage field in the defective regions. The analysis of leakage field depends on many factors such like geometry and character of defect. In general the calculation of magnetic leakage fields arising from such defects presents an extremely complicated mathematical problem and is practically insoluable, since the inhomogeneities have complex geometrical shapes and may differ in physical nature. Therefore, this paper describes Hall probe measurements of residual leakage field around artificial flaws in alloy steel bar, and shows how the results to recent developments in 2D dipole and analytic models of the magnetic field defect interaction.

  • PDF

Developing Exploratory Activities with Geometer's Sketchpad and Its' Efficacy on Geometric Reasoning of College Students (탐구형 기하 소프트웨어(Geometer's Sketchpad)의 활동 자료 개발과 그 효과에 관한 연구)

  • 장경윤;황우형;이중권
    • Journal of Educational Research in Mathematics
    • /
    • v.11 no.1
    • /
    • pp.193-206
    • /
    • 2001
  • This study was designed to develop investigation- and exploration- activities on Euclidean geometry with an exploratory type software, Geometer's Sketchpad, and to gain insights into the geometric reasoning abilities of college students working with the software. A package of Euclidean geometric activities with GSP was developed and four college students worked on the several activities with GSP and their geometric reasoning process were analyzed. Results indicated that GSP helped students solve problems in the several ways: to make conjectures and discover theorems by providing precise construction and measurement; to discover their proofs by providing the visual images and its manipulation; and to make students easily apply "what-if"strategies and expand and deepen their activities. Students' geometric reasoning was highly depended on analytic methods and their abilities with synthetic methods were shown very limited.

  • PDF

A development of move limit strategy based on the accuracy of approximation for structural optimization (구조최적설계시 근사법의 정확도를 이용한 이동한계 전략의 개발)

  • Park, Young-Sun;Park, Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.21 no.8
    • /
    • pp.1218-1228
    • /
    • 1997
  • The move limit strategy is used to avoid the excessive approximation in the structural optimization. The size of move limit has been obtained by engineering experience. Recently, efforts based on analytic methods are performed by some researchers. These methods still have problems, such as prematurity or oscillation of the move limit size. The existing methods usually control the bound of design variables based on the magnitude. Thus, they can not properly handle the configuration variables based on the geometry in the configuration optimization. In this research, the size of move limit is calculated based on the accuracy of approximation. The method is coded and applied to the two-point reciprocal quadratic approximation method. The efficiency is evaluated through examples.

Analysis of Measuring Error of Surface Roughness by Contact Stylus Profilometer (촉침에 의한 표면 거칠기 측정 오차 해석)

  • Cho, Nahm-Gyoo;Kwon, Ki-Hwan
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.16 no.12
    • /
    • pp.174-181
    • /
    • 1999
  • This paper describes the effect of the stylus tip size on the shape error in surface topography measurement. To analyze the distortional effect of an actual surface geometry origination from the finite stylus size, the surface is modeled as a sinusoid and the stylus tip as a circle. The magnitude of this distortion is defined as the ration of standard deviation, and this is expressed as an analytic function of the stylus tip radius and the geometrical parameter of a sinusoid. In this paper, the spectrum analysis of the profile is applied to investigate the distortional effect due to the mechanical filtering of the stylus in the frequency domain. and, the cumulative power spectrum is proposed to assess the shape error of measured data according to the various stylus tip sizes. From these results, a new method to select proper stylus tip radius is proposed.

  • PDF

Vibration Analysis on the Variable Configurations of Tube Conveying Fluid (유체가 흐르는 튜브 라인의 기하학적 형상에 따른 진동해석)

  • 유계형;김영권;신귀수;박태원
    • Journal of the Korean Society of Safety
    • /
    • v.16 no.1
    • /
    • pp.25-30
    • /
    • 2001
  • This paper studies the effect of vibration characteristics of tube line conveying fluid with the power steering system of bus. We modelled fluid-filled tube line using I-DEAS software to investigate vibration characteristics of the power steering tube line. And we obtained the natural frequency of tube line through finite element analysis. Analytic solutions were compared with experimental solutions to verify finite element model. We tested the tube line to examine an effect of pressure pulse by vane pump and variation of geometry of tube. From both the experimental results and the modeling results for vibration characteristics of the tube line conveying fluid, we confirmed that vibration characteristics induced by pulse propagated along the power steering tube line and resonance occurred around the natural frequency with pulse excitation.

  • PDF