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On the natural frequencies and mode shapes of a multiple-step beam carrying a number of intermediate lumped masses and rotary inertias

  • Lin, Hsien-Yuan;Tsai, Ying-Chien
    • Structural Engineering and Mechanics
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    • v.22 no.6
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    • pp.701-717
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    • 2006
  • In the existing reports regarding free transverse vibrations of the Euler-Bernoulli beams, most of them studied a uniform beam carrying various concentrated elements (such as point masses, rotary inertias, linear springs, rotational springs, spring-mass systems, ${\ldots}$, etc.) or a stepped beam with one to three step changes in cross-sections but without any attachments. The purpose of this paper is to utilize the numerical assembly method (NAM) to determine the exact natural frequencies and mode shapes of the multiple-step Euler-Bernoulli beams carrying a number of lumped masses and rotary inertias. First, the coefficient matrices for an intermediate lumped mass (and rotary inertia), left-end support and right-end support of a multiple-step beam are derived. Next, the overall coefficient matrix for the whole vibrating system is obtained using the numerical assembly technique of the conventional finite element method (FEM). Finally, the exact natural frequencies and the associated mode shapes of the vibrating system are determined by equating the determinant of the last overall coefficient matrix to zero and substituting the corresponding values of integration constants into the associated eigenfunctions, respectively. The effects of distribution of lumped masses and rotary inertias on the dynamic characteristics of the multiple-step beam are also studied.

A study on the ATC(Available Transfer Capabilily) calculation using an Energy Function Method (에너지함수법을 이용한 가용송전용량(ATC) 계산에 관한 연구)

  • Kim, Jae-Hyeon;Jeong, Sung-Won;Kim, Yong-Il
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.22 no.2
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    • pp.94-100
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    • 2008
  • Available transfer capability(ATC) quantifies the viable increase in real power transfer from one point to another in a power system. ATC calculation has predominantly focussed on steady-state viability. But ATC assessment with transient stability constraints has a dominant part in overall ATC calculation. ATC assessment requires a reputation of (n-1) security assessment with constraints of thermal limits, voltage stability and dynamic stability. An estimation of determinant contingency screening method is used for computing eigenvalue of Jacobian matrix. This paper proposed a methods to ATC calculation using energy function. Constraints is used thermal limits, voltage stability and transient stability.

Dynamic instability analysis of laminated composite stiffened shell panels subjected to in-plane harmonic edge loading

  • Patel, S.N.;Datta, P.K.;Sheikh, A.H.
    • Structural Engineering and Mechanics
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    • v.22 no.4
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    • pp.483-510
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    • 2006
  • The dynamic instability characteristics of laminated composite stiffened shell panels subjected to in-plane harmonic edge loading are investigated in this paper. The eight-noded isoparametric degenerated shell element and a compatible three-noded curved beam element are used to model the shell panels and the stiffeners respectively. As the usual formulation of degenerated beam element is found to overestimate the torsional rigidity, an attempt has been made to reformulate it in an efficient manner. Moreover the new formulation for the beam element requires five degrees of freedom per node as that of shell element. The method of Hill's infinite determinant is applied to analyze the dynamic instability regions. Numerical results are presented to demonstrate the effects of various parameters like shell geometry, lamination scheme, stiffening scheme, static and dynamic load factors and boundary conditions, on the dynamic instability behaviour of laminated composite stiffened panels subjected to in-plane harmonic loads along the boundaries. The results of free vibration and buckling of the laminated composite stiffened curved panels are also presented.

Effects of Temperature on the Development of Chinese Windmill Butterfly, Atrophaneura alcinous (Lepidoptera: Papilionidae)

  • Kim, Seong-Hyun;Hong, Seong-Jin;Park, Hae-Chul;Lee, Young-Bo;Kim, Nam Jung
    • International Journal of Industrial Entomology and Biomaterials
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    • v.25 no.2
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    • pp.159-162
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    • 2012
  • The Chinese windmill butterfly, Atrophaneura alcinous, is an important butterfly for exhibition in butterfly garden. The objective of this study was to determine the effect of temperature on A. alcinous in the laboratory. Development of A. alcinous reared on leaves of Aristolochia contorta was investigated at five constant the laboratory condition (20, 22.5, 25, 27.5 and $30^{\circ}C$) and at relative humidity of 60% with a photoperiod of 14:10 (L:D). Temperatures have been suggested as an important determinant of developmental rate, lifespan and mortality in invertebrates. As the temperature increased, the length of the developmental period gradually decreased. The developmental time (pupation) from egg hatching to pupation was respectively 25.8, 23.6, 19.6, 15.5, and 12.9 days at the temperatures of 20, 22.5, 25, 27.5 and $30^{\circ}C$. And pupation was respectively 40.0, 30.0, 63.4, 50.0, 23.3% at the temperatures of 20, 22.5, 25, 27.5 and $30^{\circ}C$. The developmental threshold temperature estimated for egg-to-pupae was 10.8, with a thermal constant of 230.4 degree-days. Therefore, the optimal developmental temperature for A. alninous was determined to be $25^{\circ}C$. To compare the effects of the total duration of chilling on the termination of diapause, larvae were subjected to a temperature of $8^{\circ}C$ from 60 to 120 days. The rate of termination of diapause was significantly higher at 60 days compared to other incubation period.

Collision-Free Path Planning for Articulated Robots (다관절 로보트를 위한 충돌 회피 경로 계획)

  • Choi, Jin-Seob;Kim, Dong-Won
    • Journal of Korean Institute of Industrial Engineers
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    • v.22 no.4
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    • pp.579-588
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    • 1996
  • The purpose of this paper is to develop a method of Collision-Free Path Planning (CFPP) for an articulated robot. First, the configuration of the robot is built by a set of robot joint angles derived from robot inverse kinematics. The joint space, that is made of the joint angle set, forms a Configuration space (Cspcce). Obstacles in the robot workcell are also transformed into the Cobstacles using slice projection method. Actually the Cobstacles means the configurations of the robot causing collision with obstacles. Secondly, a connected graph, a kind of roadmap, is constructed by the free configurations in the Cspace, where the free configurations are randomly sampled from a free Cspace immune from the collision. Thirdly, robot paths are optimally determinant in the connected graph. A path searching algorithm based on $A^*$ is employed in determining the paths. Finally, the whole procedures for the CFPP method are shown for a proper articulated robot as an illustrative example.

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Exports, Firm Size, and Firm Dynamics : An Empirical Study on the Korean Manufacturing Industry (기업규모, 기업성장, 그리고 수출성과 : 우리나라 제조업에 대한 실증적 연구)

  • Sung, Tae-Kyung;Park, Kwang-Seo
    • Management & Information Systems Review
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    • v.22
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    • pp.1-23
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    • 2007
  • This paper investigates the relationships between exports, firm size, and firm dynamics. It is based on a longitudinal data covering listed firms in the Korean manufacturing industry. We found the stylized fact that the probability that a firm is exporter increases with firm size. A regression model for the determinant of export/sales ratio including dynamic adjustment process is tested on a cross-section sample for the year 2001. Empirical findings suggest that there is a positive and inversely U-shaped relationship between firm size and export/sales ratio, just for basic material and capital good industry. Except for firm size, the hypotheses concerning human capital intensity, physical capital intensity, R&D intensity, and patent are rejected. Using Granger causality test, we found that the rate of growth of total sales influences the change of the export/sales ratio with time lag for medium-sized firms. Finally, some policy implications are presented.

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Extended Low Anterior Resection with a Circular Stapler in Patients with Rectal Cancer: a Single Center Experience

  • Talaeezadeh, Abdolhasan;Bahadoram, Mohammad;Abtahian, Amin;Rezaee, Alireza
    • Asian Pacific Journal of Cancer Prevention
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    • v.16 no.18
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    • pp.8141-8143
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    • 2016
  • Background: to evaluate the outcome of stapled colo-anal anastomoses after extended low anterior resection for distal rectal carcinoma. Materials and Methods: A retrospective study of fifty patients who underwent coloanal anastomoses after extended low anterior resection was conducted at Imam Hospital from September 2007 up to July 2012. Results: The distance of the tumor from anal verge was 3 to 8 cm. Anastomotic leakage developed in 6% of patients and defecation problems in 16%. One-year local recurrence was 6% while three-year local recurrence was 4%. One-year systemic recurrence was seen in 22% while three-year systemic recurrence was seen in 20%. Conclusions: Colo-anal anastomoses after extended low anterior resection for distal rectal carcinoma can be conducted safely.

An Analysis of the Relationships Among Financial Risk Components (가계 재무위험 구성요소들의 관계분석)

  • Jeong Woonyoung;Kim Kyungia
    • Journal of the Korean Home Economics Association
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    • v.42 no.10 s.200
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    • pp.11-22
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    • 2004
  • The purpose of this study was to examine the structure of financial risk components of households. The financial risk of households was assumed to be composed of risk knowledge, risk attitude and risk management behavior. For this study, a questionnaire was developed and distributed to 700 households in Seoul and Kwangju, and there were 495 responses with usable data. The findings showed that income stability had a positive relationship with the level of risk knowledge and risk attitude. Income stability, household debt, age of the youngest child and risk knowledge were found to have direct effects on risky vs. non-risky asset ratio. Income stability, savings, age of the youngest child and risk knowledge also had significant effects on the number of risky assets owned by households. Risk knowledge was the most important determinant of risk management behavior.

CLASSIFICATION OF CLIFFORD ALGEBRAS OF FREE QUADRATIC SPACES OVER FULL RINGS

  • Kim, Jae-Gyeom
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.1
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    • pp.11-15
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    • 1985
  • Manddelberg [9] has shown that a Clifford algebra of a free quadratic space over an arbitrary semi-local ring R in Brawer-Wall group BW(R) is determined by its rank, determinant, and Hasse invariant. In this paper, we prove a corresponding result when R is a full ring.Throughout this paper, unless otherwise specified, we assume that R is a commutative ring having 2 a unit. A quadratic space (V, B, .phi.) over R is a finitely generated projective R-module V with a symmetric bilinear mapping B: V*V.rarw.R which is non-degenerate (i.e., the natural mapping V.rarw.Ho $m_{R}$(V,R) induced by B is an isomorphism), and with a quadratic mapping .phi.: V.rarw.R such that B(x,y)=1/2(.phi.(x+y)-.phi.(x)-.phi.(y)) and .phi.(rx) = $r^{2}$.phi.(x) for all x, y in V and r in R. We denote the group of multiplicative units of R by U9R). If (V, B, .phi.) is a free rank n quadratic space over R with an orthogonal basis { $x_{1}$,.., $x_{n}$}, we will write < $a_{1}$,.., $a_{n}$> for (V, B, .phi.) where the $a_{i}$=.phi.( $x_{i}$) are in U(R), and denote the space by the table [ $a_{ij}$ ] where $a_{ij}$ =B( $x_{i}$, $x_{j}$). In the case n=2 and B( $x_{1}$, $x_{2}$)=1/2 we reserve the notation [a $a_{11}$, $a_{22}$] for the space. A commutative ring R having 2 a unit is called full [10] if for every triple $a_{1}$, $a_{2}$, $a_{3}$ of elements in R with ( $a_{1}$, $a_{2}$, $a_{3}$)=R, there is an element w in R such that $a_{1}$+ $a_{2}$w+ $a_{3}$ $w^{2}$=unit.TEX>=unit.t.t.t.

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A Robust Test for Location Parameters in Multivariate Data (다변량 자료에서 위치모수에 대한 로버스트 검정)

  • So, Sun-Ha;Lee, Dong-Hee;Jung, Byoung-Cheo
    • The Korean Journal of Applied Statistics
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    • v.22 no.6
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    • pp.1355-1364
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    • 2009
  • This work propose a robust test for location parameters in multivariate data based on MVE and MCD with the affine equivariance and the high-breakdown properties. We consider the hypothesis testing satisfying high efficiency and high test power simultaneously to bring in the one-step reweighting procedure upon high-breakdown estimators, which generally suffer from the low efficiency and, as a result, usually used only in the exploratory analysis. Monte Carlo study shows that the suggested method retains nominal significance levels and higher testing power without regard to various population distributions than a Hotelling's $T^2$ test. In an example, a data set containing known outliers does not make an influence toward our proposal, while it renders a Hotelling's $T^2$ useless.