• 제목/요약/키워드: Differential cross section

검색결과 164건 처리시간 0.033초

미분구적법(DQM)을 이용한 단면적이 선형적으로 변하는 비대칭 곡선보의 내평면 신장 진동해석 (In-Plane Extensional Vibration Analysis of Asymmetric Curved Beams with Linearly Varying Cross-Section Using DQM)

  • 강기준
    • 한국산학기술학회논문지
    • /
    • 제20권5호
    • /
    • pp.612-620
    • /
    • 2019
  • 빌딩, 자동차, 선박, 항공기 등에서의 곡선보 사용 증가로 인해 이러한 구조물의 동적거동해석에 있어 괄목할만한 성과가 있어 왔다. 탄성곡선보의 안정성 거동 해석분야는 많은 연구자들의 관심분야였다. 전통적으로 미분방정식의 해법은 유한차분법으로 해결해왔다. 이러한 방법들은 복잡한 기하학적 구조 및 하중에 따른 격자점의 증가로 많은 계산시간을 요구한다. 편미분방정식의 해를 구하기 위한 효율적인 방법 중의 하나는 미분구적법이다. 복잡한 기하학적 구조 및 하중으로 인한 과도한 컴퓨터 용량의 사용과 복합알고리즘 프로그램의 어려움을 극복하기 위하여 미분구적법(DQM)이 많은 분야에 적용되어왔다. 본 연구에서는 선형적으로 단면적이 변하는 비대칭 곡선보에 대하여 DQM을 적용하여 아크축 신장을 고려한 내 평면 진동해석을 수행하였다. 다양한 매개변수 비, 경계조건, 그리고 열림 각에 따른 기본진동수를 계산하였다. DQM 결과는 활용 가능한 다른 엄밀해와 비교하였다. 다양한 매개변수 비, 경계조건, 그리고 열림 각에 따른 기본진동수를 계산하였으며 DQM 결과를 활용 가능한 다른 엄밀해와 비교하였다. 해석결과에 따르면 DQM은, 적은 격자점을 사용하고도, 엄밀해 결과와 일치함을 보여주었다.

$Annubar^{(R)}$형 차압유량계 형상 개선에 따른 유량 특성 연구 (A Study on Flow Rate Characteristics of a $Annubar^{(R)}$ Type Differential Pressure Flow Meter with a Shape Improvement)

  • 오대산;이충훈
    • 한국생산제조학회지
    • /
    • 제19권2호
    • /
    • pp.204-210
    • /
    • 2010
  • The inner structure of the triangular separate bar (TSB) was improved to enhance the productivity of the TSB flow meter by simplifying the machining process for making the flow meter. The cross section of upstream and downstream pressure chamber in the TSB was changed from triangle to circle, which make it possible to substitute the wire cutting by drilling in the process of machining the pressure chamber. The flow rate characteristics of the flow meters was calibrated with a laminar flow meter. Six kinds of flow meters whose diameters of pressure tap for measuring pressure of both upsteam and downstream pressure chamber were different one another were made. The effects of the pressure tap diameter on the flow rate characteristics of the TSB flow meter was little. The mass flow rate characteristics of the flow meters with increasing a non-dimensional parameter which includes the gas temperature, exhaust gas pressure and differential pressure at the flow meters and atmospheric pressure shows nearly linear relationship with a correlation coefficient of R=0.998.

Torsional flexural steady state response of monosymmetric thin-walled beams under harmonic loads

  • Hjaji, Mohammed A.;Mohareb, Magdi
    • Structural Engineering and Mechanics
    • /
    • 제52권4호
    • /
    • pp.787-813
    • /
    • 2014
  • Starting with Hamilton's variational principle, the governing field equations for the steady state response of thin-walled beams under harmonic forces are derived. The formulation captures shear deformation effects due to bending and warping, translational and rotary inertia effects and as well as torsional flexural coupling effects due to the cross section mono-symmetry. The equations of motion consist of four coupled differential equations in the unknown displacement field variables. A general closed form solution is then developed for the coupled system of equations. The solution is subsequently used to develop a family of shape functions which exactly satisfy the homogeneous form of the governing field equations. A super-convergent finite element is then formulated based on the exact shape functions. Key features of the element developed include its ability to (a) isolate the steady state response component of the response to make the solution amenable to fatigue design, (b) capture coupling effects arising as a result of section mono-symmetry, (c) eliminate spatial discretization arising in commonly used finite elements, (d) avoiding shear locking phenomena, and (e) eliminate the need for time discretization. The results based on the present solution are found to be in excellent agreement with those based on finite element solutions at a small fraction of the computational and modelling cost involved.

Pandora 원시자료로부터 차등흡수분광법을 이용하여 이산화질소 칼럼 농도 산출 시 파장 구간 및 흡수단면적에 따른 산출 정확도 평가 (Evaluation of Retrieval Accuracy of NO2 Column Density from Pandora Raw Data According to Wavelength Range and Absorption Cross-section Using DOAS Method)

  • 김세린;김대원;이한림
    • 대한원격탐사학회지
    • /
    • 제38권2호
    • /
    • pp.215-222
    • /
    • 2022
  • 본 연구에서는 pandora 직달광 원시자료로부터 차등흡수분광법(DOAS, Differential Optical Absorption Spectroscopy)을 이용하여 이산화질소 연직칼럼농도(VCD, Vertical column density) 산출 시 파장구간과 흡수단 면적이 미치는 영향을 비교 분석하였다. GEMS Map of the Air Pollution (GMAP) 2020 캠페인 기간 동안 서산에서 Pandora 장비로 관측된 자료를 사용하였으며, 차등흡수분광법을 이용하여 CINDI-2 캠페인과 PGN의 산출 방법에 따라 4가지 조건으로 이산화질소 연직칼럼농도를 산출하였다. 4가지 조건으로 산출된 이산화질소 평균 연직칼럼농도는 1.22×1016~1.38×1016 molec. cm-2으로, 각 조건 간 최대 0.16×1016 molec. cm-2의 차이를 보였다. 피팅 에러는 평균 3.19~9.59%로 모든 조건에서 10% 이내였으며, RMS는 5.11×10-3~7.16×10-3 molec. cm-2으로 나타났다. 4가지 방법으로 산출된 이산화질소 연직칼럼농도와 Pandonia Global Network (PGN)에서 제공하는 이산화질소 연직칼럼농도와 기울기는 0.98~1.09이었으며, 0.96~0.98의 상관관계를 보여주었다.

타원형 띠기초의 자유진동 해석 (Free Vibration Analysis of Elliptic Strip Foundation)

  • 이태은;강희종;김권식;이병구
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
    • /
    • pp.548-555
    • /
    • 2005
  • Since soil-structure interactions are one of the most important subjects in the structural/foundation engineering, much study concerning the soil-structure interactions had been carried out. One of typical structures related to the soil-structure interactions is the strip foundation which is basically defined as the beam or strip rested on or supported by the soils. At the present time, lack of studies on dynamic problems related to the strip foundations is still found in the literature. From these viewpoint, this paper aims to theoretically investigate dynamics of the elliptic strip foundations and also to present the practical engineering data for the design purpose. Differential equations governing the free, out-of-plane vibrations of such sap foundations we derived, in which effects of the rotatory and torsional inertias and also shear deformation are included although the warping of the cross-section is excluded. Governing differential equations subjected to the boundary conditions of free-free end constraints are numerically solved for obtaining the natural frequencies and mode shapes by using the numerical integration technique and the numerical method of non-linear equation.

  • PDF

포물선형 띠기초의 자유진동 해석 (Free Vibration Analysis of Parabolic Strip Foundations)

  • 이태은;이종국;강희종;이병구
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2005년도 춘계학술대회논문집
    • /
    • pp.703-706
    • /
    • 2005
  • Since soil structure interactions are one of the most important subjects in the structural/foundation engineering, much study concerning the soil structure interactions had been carried out. One of typical structures related to the soil structure interactions is the strip foundation which is basically defined as the beam or strip rested on or supported by the soils. At the present time, lack of studies on dynamic problems related to the strip foundations is still found in the literature. From these viewpoint this paper aims to theoretically investigate dynamics of the parabolic strip foundations and also to present the practical engineering data for the design purpose. Differential equations governing the free, out o plane vibrations of such strip foundations are derived, in which effects of the rotatory and torsional inertias and also shear deformation are included although the warping of the cross-section is excluded. Governing differential equations subjected to the boundary conditions of free-free end constraints are numerically solved for obtaining the natural frequencies and mode shapes by using the numerical integration technique and the numerical method of nonlinear equation.

  • PDF

일정체적 양단고정 기둥의 정·동적 최적형상 (Static and Dynamic Optimal Shapes of Both Clamped Columns with Constant Volume)

  • 이병구;김석기
    • 한국강구조학회 논문집
    • /
    • 제19권1호
    • /
    • pp.99-106
    • /
    • 2007
  • 이 논문은 일정체적 양단고정 기둥의 정 동적 최적형상에 관한 연구이다. 기둥의 단면은 정다각형이며, 단면깊이는 포물선으로 변화하는 변단면이다. 축방향 압축하중이 작용하는 기둥의 고유진동수 및 좌굴하중을 산정하는 수치해석 기법을 개발하였다. 그러한 기둥의 자유진동을 지배하는 미분방정식을 유도하고 Runge-Kutta법과 Regula-Falsi법을 이용하여 고유진동수를 산정하였다. 수치해석의 결과로부터 얻어진 하중-고유진동수 사이의 관계를 이용하여 기둥의 좌굴하중을 산정하였다. 기둥의 변수연구를 통하여 동적 안정영역, 동적 최적형상 및 최강기둥의 형상을 산출하였다.

일단고정 타단스프링으로 지지된 변단면 Beck 기둥의 임계하중 (Critical Loads of Tapered Beck's Columns with Clamped and Spring Supports)

  • 김석기;박광규;이병구
    • 한국전산구조공학회논문집
    • /
    • 제19권1호
    • /
    • pp.85-92
    • /
    • 2006
  • 이 논문은 일단고정 타단스프링으로 지지된 변단면 Beck 기둥의 임계하중에 관한 연구이다. 기둥의 변단면을 중실 직사각형 단면을 갖는 선형 변단면으로 채택하고, Bernoulli-Euler보 이론을 이용하여 경사종동력이 작용하는 소위 Beck 기둥의 자유진동을 지배하는 상미분방정식과 경계조건을 유도하였다. 이 미분방정식을 수치해석하여 하중-고유진동수 곡선을 얻고 이로부터 발산임계하중 및 동요임계하중을 산출하였다. 수치해석의 결과로부터 변단면 형태, 경사변수 및 스프링 강성이 임계하중에 미치는 영향을 고찰하였다

원호형 띠기초의 자유진동 해석 (Free Vibration Analysis of Circular Strip Foundations)

  • 이종국;강희종;이병구
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2004년도 추계학술대회논문집
    • /
    • pp.898-901
    • /
    • 2004
  • Since soil-structure interactions are one of the most important subjects in the structural/foundation engineering, much study concerning the soil-structure interactions had been carried out. One of typical structures related to the soil-structure interactions is the strip foundation which is basically defined as the beam or strip rested on or supported by the soils. At the present time, lack of studies on dynamic problems related to the strip foundations is still found in the literature. From these viewpoint, this paper aims to theoretically investigate dynamics of the circular strip foundations and also to present the practical engineering data for the design purpose. Differential equations governing the free, out-of-plane vibrations of such strip foundations are derived, in which effects of the rotatory and torsional inertias and also shear deformation are included although the warping of the cross-section is excluded. Governing differential equations subjected to the boundary conditions of corresponding end constraints are numerically solved for obtaining the natural frequencies and mode shapes by using the numerical integration technique and the numerical method of non-linear equation.

  • PDF

Evaluation of abutment types on highway in terms on driving comfort

  • Nam, Moon S.;Park, Min-Cheol;Do, Jong-Nam
    • Geomechanics and Engineering
    • /
    • 제13권1호
    • /
    • pp.43-61
    • /
    • 2017
  • The inverted T-type abutments are generally used in highway bridges constructed in Korea. This type of abutment is used because it has greater stability, with more pile foundations embedded in the bedrock, while simultaneously providing support for lateral earth pressure and vertical loads of superstructures. However, the cross section of inverted T-type abutments is large compared with the piers, which makes them more expensive. In addition, a differential settlement between the abutment and embankment, as well as the expansion joints, causes driving discomfort. This study evaluated the driving comfort of several types of abutments to improve driving comfort on the abutment. To achieve this objective, a traditional T-type abutment and three types of candidate abutments, namely, mechanically stabilized earth wall (MSEW) abutment supported by a shallow foundation (called "true MSEW abutment"), MSEW abutment supported by piles (called "mixed MSEW abutment"), and pile bent and integral abutment with MSEW (called "MIP abutment"), were selected to consider their design and economic feasibility. Finite element analysis was performed using the design section of the candidate abutments. Subsequently, the settlements of each candidate abutment, approach slabs, and paved surfaces of the bridges were reviewed. Finally, the driving comfort on each candidate abutment was evaluated using a vehicle dynamic simulation. The true MSEW abutment demonstrated the most excellent driving comfort. However, this abutment can cause problems with respect to serviceability and maintenance due to excessive settlements. After our overall review, we determined that the mixed MSEW and the MIP abutments are the most appropriate abutment types to improve driving comfort by taking the highway conditions in Korea into consideration.