• Title/Summary/Keyword: Central Moment

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ON GENERALIZED EXTENDED BETA AND HYPERGEOMETRIC FUNCTIONS

  • Shoukat Ali;Naresh Kumar Regar;Subrat Parida
    • Honam Mathematical Journal
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    • v.46 no.2
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    • pp.313-334
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    • 2024
  • In the current study, our aim is to define new generalized extended beta and hypergeometric types of functions. Next, we methodically determine several integral representations, Mellin transforms, summation formulas, and recurrence relations. Moreover, we provide log-convexity, Turán type inequality for the generalized extended beta function and differentiation formulas, transformation formulas, differential and difference relations for the generalized extended hypergeometric type functions. Also, we additionally suggest a generating function. Further, we provide the generalized extended beta distribution by making use of the generalized extended beta function as an application to statistics and obtaining variance, coefficient of variation, moment generating function, characteristic function, cumulative distribution function, and cumulative distribution function's complement.

A Study on the Air to Air Missile Control Fin Optimization Using the Mathematical Modeling Based on the Fluid-Structure Interaction Simulation (수학적 모델링을 이용한 공력-구조 연계 시뮬레이션 기반 공대공 미사일 조종날개 최적화 연구)

  • Lee, Seung-Jin;Park, Jin-Yong
    • Journal of the Korea Society for Simulation
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    • v.25 no.1
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    • pp.1-9
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    • 2016
  • This study focuses on the air to air missile control fin planform optimization for the minimizing hinge moment with the considering phenomena of fluid and structure simultaneously. The fluid-structure interaction method is applied for the fluid and structure phenomena simulation of the control fins. A transient-loosely coupled method is used for the fluid-structure interaction simulation because it is suited for using each fluid and structure dedicated simulation software. Searching global optimization point is required many re-calculation therefore in this study, a mathematical model is applied for rapidly calculation. The face centered central composite method is used for generating design points and the 2nd polynomial response surface is sued for generating mathematical model. Global optimization is performed by using the generic algorithm. An objective function is the minimizing travel distance of the center of pressure between Mach 0.7 and 2.0 condition. Finally, the objective function of optimized planform is reduced 7.5% than the baseline planform with satisfying constrained conditions.

The Embodiment of a Performer and Character: Psychophysical Pathway to the Practical Attunement of a Performer's Body

  • BongHee Son
    • International Journal of Internet, Broadcasting and Communication
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    • v.16 no.2
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    • pp.68-74
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    • 2024
  • This thesis explores the embodiment of a performer and a character/role specifically by examining what the term character is associated with and implies in a sense of the performer's bodily training through which what happens to their body. First of all, this research begins to investigate the relationship between a performer and a character centred on the performer's bodily experience through training and/or studio work. From a perspective of a performer, the concept and practical approach of a character itself essentially includes and signifies all the given circumstance of a specific play which has to be acknowledged then inhabited through the performer's body. That is, the internal structure of the text parallels with articulating and developing the spine of a specific character which take place as the substance leads the performer's body to an organic action and/or that of way corresponding to what the character needs and wants to obtain through a series of moment on stage. Here, we argue that the purposeful action as a process and result of applying/inhabiting the substance enhances the performer's body as the whole being participates in the given environment within which his/her body can also work or function by means of the integrated oneness. Second, in a manner of the most fundamental level, both the ethic of acting and the central task of a performer remind us the significance of allowing therefore experiencing subtle bodily movement, namely, responses to stimulus from in/outside of his/her body either visible or invisible on the one hand. At the same time, such a journey of self-discovery empowers the performer to explore new potential possibilities on the other. Finally, as the research finding suggests that these practical insights are necessarily need to be acknowledged as a point of the departure through which the quality of a performer's body is also cultivated by means of the changeable wholeness in order to being on stage.

Acoustic analysis of Korean affricates produced by dysarthric speakers with cerebral palsy (뇌성마비 마비말장애 성인의 파찰음 실현 양상 분석)

  • Mun, Jihyun;Kim, Sunhee;Chung, Minhwa
    • Phonetics and Speech Sciences
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    • v.13 no.2
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    • pp.45-55
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    • 2021
  • This study aims to analyze the acoustic characteristics of Korean affricates produced by dysarthric speakers with cerebral palsy. Korean fricatives and affricates are the consonants that are prone to errors in dysarthric speech, but previous studies have focused only on fricatives. For this study, three affricates /tɕ, tɕh, ͈tɕ/ appearing at word initial and intervocalic positions produced by six mild-moderate male speakers of spastic dysarthria are selected from a QOLT database constructed in 2014. The parameters representing the acoustic characteristics of Korean affricates were extracted by using Praat: frication duration, closure duration, center of gravity, variance, skewness, kurtosis, and central moment. The results are as follows: 1) frication duration of the intervocalic affricates produced by dysarthric speakers was significantly longer than that of the non-disordered speakers; 2) the closure duration of dysarthric speakers was significantly longer; 3) in the case of the center of gravity, there was no significant difference between the two groups; 4) the skewness of the dysarthric speakers was significantly larger; and 5) the central moment of dysarthric speakers was significantly larger. This study investigated the characteristics of the affricates produced by dysarthric speakers and differences with non-disordered speakers.

Structural Analysis of Floating Offshore Wind Turbine Tower Based on Flexible Multibody Dynamics (탄성 다물체계 동역학을 기반으로 한 부유식 해상 풍력 발전기 타워의 구조 해석)

  • Park, Kwang-Phil;Cha, Ju-Hwan;Ku, Namkug;Jo, A-Ra;Lee, Kyu-Yeul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.12
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    • pp.1489-1495
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    • 2012
  • In this study, we perform the structural analysis of a floating offshore wind turbine tower by considering the dynamic response of the floating platform. A multibody system consisting of three blades, a hub, a nacelle, the platform, and the tower is used to model the floating wind turbine. The blades and the tower are modeled as flexible bodies using three-dimensional beam elements. The aerodynamic force on the blades is calculated by the Blade Element Momentum (BEM) theory with hub rotation. The hydrostatic, hydrodynamic, and mooring forces are considered for the platform. The structural dynamic responses of the tower are simulated by numerically solving the equations of motion. From the simulation results, the time history of the internal forces at the nodes, such as the bending moment and stress, are obtained. In conclusion, the internal forces are compared with those obtained from static analysis to assess the effects of wave loads on the structural stability of the tower.

A Comparative Study of Algorithms for Multi-Aspect Target Classifications (다중 각도 정보를 이용한 표적 구분 알고리즘 비교에 관한 연구)

  • 정호령;김경태;김효태
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.6
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    • pp.579-589
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    • 2004
  • The radar signals are generally very sensitive to relative orientations between radar and target. Thus, the performance of a target recognition system significantly deteriorates as the region of aspect angles becomes broader. To address this difficulty, in this paper, we propose a method based on the multi-aspect information in order to improve the classification capability ever for a wide angular region. First, range profiles are used to extract feature vectors based on the central moments and principal component analysis(PCA). Then, a classifier with the use of multi-aspect information is applied to them, yielding an additional improvement of target recognition capability. There are two different strategies among the classifiers that can fuse the information from multi-aspect radar signals: independent methodology and dependent methodology. In this study, the performances of the two strategies are compared within the frame work of target recognition. The radar cross section(RCS) data of six aircraft models measured at compact range of Pohang University of Science and Technology are used to demonstrate and compare the performances of the two strategies.

The Characteristics of Ozone Generation Synergy Effect for 3 Electrode-1 Discharge Gap Silent Discharge Type Ozonizer using Frequency-Vacuum (주파수-진공도를 이용한 3전극-1방전간극 무성방전형 오존발생기의 오존생성 상승 효과 특성)

  • Song, Hyun-Jig
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.19 no.8
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    • pp.94-101
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    • 2005
  • The silent discharge type ozonizer with three electrodes(central electrode, internal electrode, and external electrode) and one discharge gap(discharge gap between internal electrode and external electrode) has been designed and manufactured. It is a silent discharge type ozonizer for which the AC high frequency voltages applied to the central electrode within vacuum discharge tube and the internal electrode for which the external electrode is a ground Ozone is generated by silent discharge in discharge gap. At the moment, discharge characteristics and ozone generation characteristics were investigated in accordance with vacuum of discharge tube, frequency of AC power source, discharge power of ozonizer, and quantity of supplied oxygen gas. In consequence, ozone characteristics proportional to vacuum of discharge tube and frequency of AC power source. The maximum value of ozone can be obtained 7,700[ppm], 460[mg/h] and 70[g/kwh].

Experimental study on the influence of Reynolds number and roll angle on train aerodynamics

  • Huang, Zhixiang;Li, Wenhui;Liu, Tanghong;Chen, Li
    • Wind and Structures
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    • v.35 no.2
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    • pp.83-92
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    • 2022
  • When the rolling stocks run on the curve, the external rail has to be lifted to a certain level to balance the centrifugal force acting on the train body. Under such a situation, passengers may feel uncomfortable, and the slanted vehicle has the potential overturning risks at high speed. This paper conducted a wind tunnel test in an annular wind tunnel with φ=3.2 m based on a 1/20th scaled high-speed train (HST) model. The sensitivity of Reynolds effects ranging from Re = 0.37×106 to Re = 1.45×106 was tested based on the incoming wind from U=30 m/s to U=113 m/s. The wind speed covers the range from incompressible to compressible. The impact of roll angle ranging from γ=0° to γ=4° on train aerodynamics was tested. In addition, the boundary layer development was also analyzed under different wind speeds. The results indicate that drag and lift aerodynamic coefficients gradually stabilized and converged over U=70 m/s, which could be regeared as the self-similarity region. Similarly, the thickness of the boundary layer on the floor gradually decreased with the wind speed increase, and little changed over U=80 m/s. The rolling moment of the head and tail cars increased with the roll angle from γ=0° to γ=4°. However, the potential overturning risks of the head car are higher than the tail car with the increase of the roll angle. This study is significant in providing a reference for the overturning assessment of HST.

A Study on Moment Gradient Factor for Inelastic Lateral-Torsional Buckling Strength of Stepped I-Beam Subjected to Linear Moment Gradient (선형 모멘트 하중을 받는 계단식 단면변화 I형보의 비탄성 횡-비틀림 좌굴강도산정을 위한 모멘트 구배계수 연구)

  • Park, Jong-Sup;Son, Ji-Min
    • Journal of the Korean Society of Hazard Mitigation
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    • v.8 no.6
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    • pp.53-60
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    • 2008
  • The cross-sections of continuous multi-span beams sometimes suddenly increase, or become stepped, at the interior supports of continuous beams to resist high negative moments. The three-dimensional finite-element program ABAQUS (2007) was used to analytically investigate the inelastic lateral-torsional buckling behavior of stepped beams subjected to linear moment gradient and resulted in the development of design equations. The ratios of the flange thickness, flange width, and stepped length of beam are considered for the analytical parameters. Two groups of 27 cases and 36 cases, respectively, were analyzed for doubly and singly stepped beams in the inelastic buckling range. The combined effects of residual stresses and geometrical imperfection on inelastic lateral-torsional buckling of beams are considered. First, the distributions of residual stress of the cross-section is same as shown in Pi and Trahair (1995), and the initial geometric imperfection of the beam is set by central displacement equal to 0.1% of the unbraced length of beam. The new proposed equations definitely improve current design methods for the inelastic lateral-torsional buckling problem and increase efficiency in building and bridge design.

A Study on Moment Gradient Factor for Inelastic Lateral-Torsional Buckling of Stepped I-Beam Subjected to Uniformly Distributed Load and End Moment (연속경간 하중을 받는 I형 스텝보의 비탄성 횡-비틀림 좌굴강도산정을 위한 모멘트 구배계수 연구)

  • Son, Ji-Min;Park, Jong-Sup
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.4
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    • pp.1-9
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    • 2009
  • This paper investigates inelastic lateral-torsional buckling of stepped beams subjected to uniformly distributed load and end moments. A three-dimensional finite-element program ABAQUS (2007) and a regression program MINITAB(2006) were used to analytically develop new design equation for singly and doubly stepped beams with simple boundary condition. The flanges of the smaller cross-section in the stepped beams were fixed at 30.48 by 2.54 cm, whereas the width and thickness of the flanges of the larger cross-section varied. The web thickness and height of the beams were kept at 1.65 cm and 88.9 cm, respectively. The ratios of the flange thickness, flange width, and stepped length of beam are considered with analytical parameters. Two groups of 27 cases and 36 cases, respectively, were analyzed for doubly and singly stepped beams in the inelastic buckling range. The combined effects of residual stresses and geometrical imperfection on inelastic lateral-torsional buckling of beams are considered. The distributions of residual stress of the cross-section is same as shown in Pi and Trahair (1995) and the initial geometric imperfection of the beam is set by central displacement equal to 0.1% of the unbraced length of beam. The comparisons between results from proposed equations and the results from finite element analyses were presented in this paper. The maximum differences of two results are of 13% for the doubly stepped beam and 10% for the singly stepped beam. The proposed equations definitely improve current design methods for the inelastic lateral-torsional buckling problem and increase efficiency in building and bridge design.