• Title/Summary/Keyword: principal axes

Search Result 105, Processing Time 0.029 seconds

Application of Two Dimensional Filtering Technique for the Precision Calculation of Crustal Deformation Parameters (지각변동 파라메터의 정밀계산을 위한 2차원 필터링 기법의 적용)

  • 윤홍식
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
    • /
    • v.18 no.1
    • /
    • pp.75-83
    • /
    • 2000
  • This paper deals with the application of two dimensional filtering technique for strain calculation using old and new geodetic data, and discusses the characteristics of general strain pattern in terms of seismic activity and tectonics. The mean rate of maximum shear strain is $0.12{\mu}/yr$. The mean direction of principal axes distribution of the compression is about $N80^{\circ}E$.

  • PDF

복합재료 블레이드 단면 해석 프로그램(KSec2D-AE) 신뢰성 검증

  • Kim, Hyeon-Sik;Bae, Jin-Gyu;Im, Tae-Hyeon;Hwang, Jae-Min
    • Proceeding of EDISON Challenge
    • /
    • 2017.03a
    • /
    • pp.282-289
    • /
    • 2017
  • 본 연구에서는 유한요소법 기반의 단면 특성치 해석 프로그램인 EDISON Software 'KSec2D-AE'의 정확성을 검증함으로써, 학부 수준의 비행체 구조해석 및 설계 시 활용가능성을 제시하고자 한다. 이를 위하여, 다양한 요소를 적용해가며 'KSec2D-AE'로부터 계산된 단면강성계수 결과의 요소개수에 따른 수렴성을 확인하였다. 또한 상용 구조해석프로그램인 'MSC NASTRAN'으로부터 구한 하중-변위 계산식을 통해 얻어진 강성계수와 비교하고, 하중을 적용하였을 시 각 중심치(tension center, shear center, principal bending axes)의 특성에 부합하게 구조물이 거동하는지 확인함으로써 'KSec2D-AE'의 단면강성계수 및 중심치 결과를 검증하였다. 그 결과를 통하여 'KSec2D-AE' 프로그램의 유용성을 확인하였다.

  • PDF

Nonlinear Analysis of RC Panels under Cyclic Loadings (반복하중을 받는 철근콘크리트 판넬의 비선형 해석)

  • 곽효경;김도연
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2000.10a
    • /
    • pp.182-189
    • /
    • 2000
  • This paper presents a simple and reliable constitutive model for predicting the nonlinear response of reinforced concrete subjected to general membrane loadings. Based on the concept of equivalent uniaxial strain, constitutive relations of concrete are presented in the axes of orthotropy. The behavior of cracked concrete is described by a system of orthogonal cracks, which follows the principal strain directions and rotates according to the loading history. Simple hysteretic rules defining the cyclic stress-strain curves of concrete and steel are used. In addition, the stiffness and strength degradation of cracked concrete is included in the formulation. Correlation studies between analytical results and experimental values from idealized shear panel tests are conducted with the objective to establish the validity of the proposed model.

  • PDF

Measurement of Mechanical Properties and Constitutive Modeling of Woods (목재 물성 측정 및 변형 예측 모델 개발)

  • Kim, K.W.;Kim, D.H.;Kim, M.S.;Ko, Y.J.;Ha, B.K.;Kim, H.S.;Kim, J.H.
    • Transactions of Materials Processing
    • /
    • v.27 no.6
    • /
    • pp.363-369
    • /
    • 2018
  • This study measured the mechanical properties of an ash wood under various temperature and humidity conditions and a finite element model was developed to predict the behavior of the wood. A humidity-controlled chamber was developed and used for measuring the dimensional changes of woods under various humidity conditions. The thermal expansion coefficient and the elastic stiffness constants were measured by using a thermal chamber and the three-point bending test along the three principal axes of the wood. A constitutive model was proposed to describe the moisture content and temperature dependent behavior of wood. The proposed model was validated for the warping test of a wood plate. The warping of the plate was calculated using the finite element method. The calculated amount of warping was in consistence with the measurements.

Moisture-dependent Physical Properties of Detarium microcarpum Seeds

  • Aviara, Ndubisi A.;Onaji, Mary E.;Lawal, Abubakar A.
    • Journal of Biosystems Engineering
    • /
    • v.40 no.3
    • /
    • pp.212-223
    • /
    • 2015
  • Purpose: Physical properties of Detarium microcarpum seeds were investigated as a function of moisture content to explore the possibility of developing bulk handling and processing equipment. Methods: Seed size, surface area, and 1,000-seed weight were determined by measuring the three principal axes, measuring area on a graph paper, and counting and weighing seeds. Particle and bulk densities were determined using liquid displacement and weight in a measuring cylinder, respectively. Porosity was computed from particle and bulk densities. Roundness and sphericity were measured using shadowgraphs. Angle of repose and static and kinetic coefficients of friction were determined using the vertical cylindrical pipe method, an inclined plane, and a kinetic coefficient of friction apparatus. Results: In the moisture range of 8.2%-28.5% (db), the major, intermediate, and the minor axes increased from 2.95 to 3.21 cm, 1.85 to 2.61 cm, and 0.40 to 1.21 cm, respectively. Surface area, 1,000-seed weight, particle density, porosity, and angle of repose increased from 354.62 to $433.19cm^2$, 3.184 to 3.737 kg, 1060 to $1316kg/m^3$, and 30.0% to 53.1%, respectively, whereas bulk density decreased from 647.6 to $617.2kg/m^3$. Angle of repose increased from $13.9^{\circ}$ to $28.4^{\circ}$. Static and kinetic coefficients of friction varied between 0.096 and 0.638 on different structural surfaces. Conclusions: Arithmetic mean, geometric mean, and equivalent sphere effective diameters determined at the same moisture level were significantly different from each other, with the arithmetic mean diameter being greatest. Surface area, 1,000-seed weight, particle density, porosity, and angle of repose all increased linearly with moisture content. Bulk density decreased linearly with moisture content. The coefficients of friction had linear relationships with moisture content. The highest values of static and kinetic coefficients of friction were observed on galvanized steel and hessian fabric, respectively, whereas the lowest values were observed on fiberglass.

Various Measurement Methods for Fold-axis from Fold-related Structural Elements: An Example from Danyang, Chungcheongbuk-do (습곡관련 구조요소들을 이용한 다양한 습곡축 측정방법의 실제적 적용성과 문제점: 충북 단양지역에서의 예)

  • Choi, Ho-Seok;Kim, Young-Seog
    • Journal of the Korean earth science society
    • /
    • v.42 no.2
    • /
    • pp.175-184
    • /
    • 2021
  • Fold axis of fold, a representative ductile deformation structure, is important for collecting information on the 3D fold structure and the orientation of maximum horizontal principal stress at the time of deformation. For this reason, several fold axis measurement methods based on the fold-related structural elements have been suggested and used even in areas where it is impossible to measure it directly. Thus, these various measurement methods are briefly introduced here, and the measured data with different methods are compared to estimate these methods' reliability. For this purpose, we acquired fold axes at six sites across the Manhang formation of the Pyeongan supergroup and limestones of the Joseon supergroup in Danyang, Chungcheongbuk-do, where fold structures are well developed. The data from the different methods are generally consistent, indicating practical applicability. Most of the fold axes from the measured sites show NNNE or NE trends indicating WNW-ESE or NW-SE trending maximum horizontal principal stress, except for the one site with a WNW trend. The WNW-ESE trending fold axis might be related to a different orogeny or secondary folding. The minor difference in the trends between N-NNE and NE was interpreted as being due to different scale; however, further research is needed to confirm this.

Palaeomagnetism of the Okchon Belt, Korea : Anisotropy of Magnetic Susceptibility (AMS) and Deformation of the Hwanggangri Formation in Chumgju-Suanbo Area (옥천대에 대한 고자기 연구:충주-수안보 일원 황강리층의 변형과 대자율 비등방성(AMS))

  • Son, Moon;Kim, In-Soo;Kang, Hee-Cheol
    • Economic and Environmental Geology
    • /
    • v.34 no.1
    • /
    • pp.133-146
    • /
    • 2001
  • We report the results of structural field observation and measurement of anisotropy of magnetic susceptibility (AMS) of the diamictitic Hwanggangri Formation distributed in Chungju-Suanbo area of the Okchon Belt, Korea. The outcrops of the Hwanggangri Formation show two types of cleavage in general: slaty cleavage (SI) and crenulation cleavage (5z). 5] cleavage is, however, well observable only in the notheastem (NE) part of study area, while overwhelmed by 52 cleavage in the southwestern (5W) part, indicating stronger later deformation in 5W part of the study area. This partitioning of the study area is corroborated by both IRM and AMS parameters: NE part of the study area is characterized by higher IRM intensity, higher bulk magnetic susceptibility, higher AM5 degree, and by oblate shape of magnetic susceptibility ellipsoid. Their values become drastically lowered toward southwest, and reach to a stable minimum in the whole 5W part of the study area. In addition, degree of both metamorphism and deformation tends to increase gradually from northeast toward southwest and also from northwest toward southeast in the study area. Based on the distribution pattern of the principal axes ( $k_1, k_2, k_3$ axes) of magnetic anisotropy ellipsoids revealed in the NE part of the study area, three episodes of deformation ( $D_1, D_2, D_3$ ) are recognized: D_1$ deformation produced $S_2$ cleavage with NE-5W trend, which is caused by a strong NW-SE tlattening of a coaxial pure shear. $D_2$ deformation produced 5z cleavage characterized by a non-coaxial deformation. It was caused by a ductile or semi-ductile thrusting toward NW and concurrent sinistral shearing along $S_2$ cleavage plane. Lastly, $D_3$ deformation produced tlexural folding of all previous structures with a nearly horizontal NE fold axis. Distribution pattern of the principal axes of magnetic anisotropy ellipsoid from the SW part of the study area, on the other hand, does not show any coherency among sites or samples. We interpret that this dispersed pattern of $k_1, k_2, k_3$ axes together with lower anisotropy strength indicates that magnetic fabrics in the SW part have been disturbed either by a superposition of strong deformation/metamorphism or by a kind of reciprocal strain due to an overlapping of $D_1$ and $D_2$ or by both processes.

  • PDF

Variable Selection for Multi-Purpose Multivariate Data Analysis (다목적 다변량 자료분석을 위한 변수선택)

  • Huh, Myung-Hoe;Lim, Yong-Bin;Lee, Yong-Goo
    • The Korean Journal of Applied Statistics
    • /
    • v.21 no.1
    • /
    • pp.141-149
    • /
    • 2008
  • Recently we frequently analyze multivariate data with quite large number of variables. In such data sets, virtually duplicated variables may exist simultaneously even though they are conceptually distinguishable. Duplicate variables may cause problems such as the distortion of principal axes in principal component analysis and factor analysis and the distortion of the distances between observations, i.e. the input for cluster analysis. Also in supervised learning or regression analysis, duplicated explanatory variables often cause the instability of fitted models. Since real data analyses are aimed often at multiple purposes, it is necessary to reduce the number of variables to a parsimonious level. The aim of this paper is to propose a practical algorithm for selection of a subset of variables from a given set of p input variables, by the criterion of minimum trace of partial variances of unselected variables unexplained by selected variables. The usefulness of proposed method is demonstrated in visualizing the relationship between selected and unselected variables, in building a predictive model with very large number of independent variables, and in reducing the number of variables and purging/merging categories in categorical data.

ESR Study on Paramagnetic Defects of the $gamma$-irradiated Ammonium Sulfate Single Crystal (${\gamma}$-선에 조사된 황산 암모늄 단결정의 상자성 결함에 관한 전자스핀공명 연구)

  • Yo Chul Hyun;Kim Eun Ok
    • Journal of the Korean Chemical Society
    • /
    • v.29 no.2
    • /
    • pp.80-87
    • /
    • 1985
  • Radiation damage in a single crystal of ammonium sulfate caused by ${\gamma}$-irradiation at room temperature has given rise to several paramagnetic centers. Electron spin resonance (ESR) spectra of crystal are obtained with the X-band EPR spectrometer at room temperature. An intense and isotropic peak of Gaussian shape at g = 2.0036 is assigned to $SO_3^-$, which shows power saturation effects. Angular dependence of spectra is studied for the rotations about three mutually perpendicular axes a, b and c. The g-values are obtained from the relative distances between isotropic peak of $SO_3^-$ and anisotropic peak of the species. Principal $g^-$values and direction cosines were calculated by diagonalizing the 3${\times}$3 matrix whose elements are the $g^-$values for each species. From the analysis of characteristic principal $g^-$values and direction cosines for ammonium sulfate single crystal, anisotropic peaks corresponding to $SO_4^-,\;SO_2^-$ and defect structure corresponding to electron excess type are identified.

  • PDF

Principal Components Self-Organizing Map PC-SOM (주성분 자기조직화 지도 PC-SOM)

  • 허명회
    • The Korean Journal of Applied Statistics
    • /
    • v.16 no.2
    • /
    • pp.321-333
    • /
    • 2003
  • Self-organizing map (SOM), a unsupervised learning neural network, has been developed by T. Kohonen since 1980's. Main application areas were pattern recognition and text retrieval. Because of that, it has not been spread to statisticians until late. Recently, SOM's are frequently drawn in data mining fields. Kohonen's SOM, however, needs improvements to become a statistician's standard tool. First, there should be a good guideline as for the size of map. Second, an enhanced visualization mode is wanted. In this study, principal components self-organizing map (PC-SOM), a modification of Kohonen's SOM, is proposed to meet such needs. PC-SOM performs one-dimensional SOM during the first stage to decompose input units into node weights and residuals. At the second stage, another one-dimensional SOM is applied to the residuals of the first stage. Finally, by putting together two stages, one obtains two-dimensional SOM. Such procedure can be easily expanded to construct three or more dimensional maps. The number of grid lines along the second axis is determined automatically, once that of the first axis is given by the data analyst. Furthermore, PC-SOM provides easily interpretable map axes. Such merits of PC-SOM are demonstrated with well-known Fisher's iris data and a simulated data set.