• 제목/요약/키워드: linear combination of the means.

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슬라이딩모드기법을 이용한 자기부상시스템의 강인한 관측기 설계 (A Robust Observer Design of Ma4gentic Levitation System using Sliding Mode Method)

  • 이대종;김주식;유정웅
    • 조명전기설비학회논문지
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    • 제16권3호
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    • pp.67-73
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    • 2002
  • 본 논문에서는 자기부상시스템의 상태추정을 위한 슬라이딩모드 관측기와 동적 안정화를 위한 슬라이딩모드 제어기를 제안한다. 제안된 슬라이딩모드 관측기는 관측오차를 감소시키기 위해서 Lyapunov 안정도이론에 의하여 구성되고, 추정된 상태에 대해서 등가 제어입력과 비선형 제어입력의 일차결합으로 슬라이딩모드 제어기가 설계된다. 제안된 설계방법의 유용성은 모의실험결과로부터 검증한다.

EULER SUMS OF GENERALIZED HYPERHARMONIC NUMBERS

  • Xu, Ce
    • 대한수학회지
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    • 제55권5호
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    • pp.1207-1220
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    • 2018
  • The generalized hyperharmonic numbers $h^{(m)}_n(k)$ are defined by means of the multiple harmonic numbers. We show that the hyperharmonic numbers $h^{(m)}_n(k)$ satisfy certain recurrence relation which allow us to write them in terms of classical harmonic numbers. Moreover, we prove that the Euler-type sums with hyperharmonic numbers: $$S(k,m;p):=\sum\limits_{n=1}^{{\infty}}\frac{h^{(m)}_n(k)}{n^p}(p{\geq}m+1,\;k=1,2,3)$$ can be expressed as a rational linear combination of products of Riemann zeta values and harmonic numbers. This is an extension of the results of Dil [10] and $Mez{\ddot{o}}$ [19]. Some interesting new consequences and illustrative examples are considered.

다측면 유전자 알고리즘을 이용한 시뮬레이션 최적화 기법 (A Simulation Optimization Method Using the Multiple Aspects-based Genetic Algorithm)

  • 박성진
    • 한국시뮬레이션학회논문지
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    • 제6권1호
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    • pp.71-84
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    • 1997
  • For many optimization problems where some of the system components are stochastic, the objective functions cannot be represented analytically. Therefore, modeling by computer simulation is one of the most effective means of studying such complex systems. Many, if not most, simulation optimization problems have multiple aspects. Historically, multiple aspects have been combined ad hoc to form a scalar objective function, usually through a linear combination (weighted sum) of the multiple attributes, or by turning objectives into constraints. The genetic algorithm (GA), however, is readily modified to deal with multiple aspects. In this paper we propose a MAGA (Multiple Aspects-based Genetic Algorithm) as an algorithm for finding the Pareto optimal set. We demonstrate its ability to find and maintain a diverse "Pareto optimal population" on two problems.

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Investigating the effect of using three pozzolans (including the nanoadditive) in combination on the formation and development of cracks in concretes using non-contact measurement method

  • Grzegorz Ludwik Golewski
    • Advances in nano research
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    • 제16권3호
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    • pp.217-229
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    • 2024
  • This paper presents results of visual analysis of cracks formation and propagation of concretes made of quaternary binders (QBC). A composition of the two most commonly used mineral additives, i.e. fly ash (FA) and silica fume (SF) in combination with nanosilica (nS), has been proposed as a partial replacement of the cement. The principal objective of the present study is to achieve information about the effect of simultaneous incorporation of three pozzolans as partial replacement to the OPC on the fracture processes in concretes made from quaternary binders (QBC). The modern and precise non-contact measurement method (NCMM) via digital image correlation (DIC) technique was used, during the studies. In the course of experiments it was established that the substitution of OPC with three pozzolans including the nanoadditive in FA+SF+nS FA+SF+nS combination causes a clear change of brittleness and behavior during fractures in QBCs. It was found that the shape of cracks in unmodified concrete was quasi-linear. Substitution of the binder by SCMs resulted in a slight heterogeneity of the structure of the QBC, including only SF and nS, and clear heterogeneity for concretes with the FA additive. In addition, as content of FA rises throughout each of QBC series, material becomes more ductile and shows less brittle failure. It means that an increase in the FA content in the concrete mix causes a significant change in fracture process in this composite in comparison to concrete with the addition of silica modifiers only.

Mechanical performances of concrete beams with hybrid usage of steel and FRP tension reinforcement

  • Bui, Linh V.H.;Stitmannaithum, Boonchai;Ueda, Tamon
    • Computers and Concrete
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    • 제20권4호
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    • pp.391-407
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    • 2017
  • Fiber reinforced polymer (FRP) bars have been recently used to reinforce concrete members in flexure due to their high tensile strength and especially in corrosive environments to improve the durability of concrete structures. However, FRPs have a low modulus of elasticity and a linear elastic behavior up to rupture, thus reinforced concrete (RC) components with such materials would exhibit a less ductility in comparison with steel reinforcement at the similar members. There were several studies showed the behavior of concrete beams with the hybrid combination of steel and FRP longitudinal reinforcement by adopting the experimental and numerical programs. The current study presents a numerical and analytical investigation based on the data of previous researches. Three-dimensional (3D) finite element (FE) models of beams by using ANSYS are built and investigated. In addition, this study also discusses on the design methods for hybrid FRP-steel beams in terms of ultimate moment capacity, load-deflection response, crack width, and ductility. The effects of the reinforcement ratio, concrete compressive strength, arrangement of reinforcement, and the length of FRP bars on the mechanical performance of hybrid beams are considered as a parametric study by means of FE method. The results obtained from this study are compared and verified with the experimental and numerical data of the literature. This study provides insight into the mechanical performances of hybrid FRP-steel RC beams, builds the reliable FE models which can be used to predict the structural behavior of hybrid RC beams, offers a rational design method together with an useful database to evaluate the ductility for concrete beams with the combination of FRP and steel reinforcement, and motivates the further development in the future research by applying parametric study.

상태변수를 갖는 비탄성 구성식 적분법의 일반화 (Generalization of Integration Methods for Complex Inelastic Constitutive Equations with State Variables)

  • 윤삼손;이순복;김종범;이형연;유봉
    • 대한기계학회논문집A
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    • 제24권5호
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    • pp.1075-1083
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    • 2000
  • The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. These equations consist of the definition of inelastic strain and the evolution of the state variables introduced to quantify the irreversible processes occurred in the material. With respect to the definition of the inelastic strain, the inelastic constitutive models can be categorized into elastoplastic model, unified viscoplastic model and separated viscoplastic model and the different integration methods have been applied to each category. In the present investigation, the generalized integration method applicable for various types of constitutive equations is developed and implemented into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using line-search technique in combination with Newton method. The strategy to control the time increment for the improvement of the accuracy of the numerical integration is proposed. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method. The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. These equations consist of the definition of inelastic strain and the evolution of the state variables introduced to quantify the irreversible processes occurred in the material. With respect to the definition of the inelastic strain, the inelastic constitutive models can be categorized into elastoplastic model, unified viscoplastic model and separated viscoplastic model and the different integration methods have been applied to each category. In the present investigation, the generalized integration method applicable for various types of constitutive equations is developed and implemented into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using line-search technique in combination with Newton method. The strategy to control the time increment for the improvement of the accuracy of the numerical integration is proposed. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method.

Trellis 부호 및 엔트로피 마스킹을 이용한 정보부호화 기반 워터마킹 (A Watermarking Method Based on the Informed Coding and Embedding Using Trellis Code and Entropy Masking)

  • 이정환
    • 한국정보통신학회논문지
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    • 제13권12호
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    • pp.2677-2684
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    • 2009
  • 본 논문에서는 trellis 부호 및 엔트로피 마스킹을 이용한 정보부호화 기반 워터마킹 방법에 대하여 연구하였다. 영상을 $8{\times}8$ 블록으로 중복되지 않게 나누어 DCT 변환을 수행하고 각 블록으로부터 16개의 중간주파수 대역의 계수를 추출한다. 이를 trellis 부호화의 각 단계에서 평균이 0이고 분산이 1인 가우시안 난수와 비교하여 선형상관계수 및 왓슨거리의 선형결합이 최소인 벡터를 Viterbi 알고리즘으로 구하고 이를 원 영상에 삽입하여 워터마킹된 영상을 얻는다. 영상의 특성을 고려하기 위해 삽입벡터를 구할 때 엔트로피 마스킹 함수를 사용하여 선형상관계수와 왓슨거리의 가중치를 다르게 적용한다. 제안방법의 성능을 평가하기 위해 다수의 영상에 대한 평균비트오차율을 계산하여 성능을 비교하였으며, 평균비트오차율 측면에서 성능 개선이 있었다.

패션 일러스트레이션에서의 콜라주 표현의 특성과 의미 (Characteristics and Meanings of Collage Expressed in Fashion Illustrations)

  • 김순자
    • 한국의상디자인학회지
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    • 제13권4호
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    • pp.111-126
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    • 2011
  • Cultural collage phenomena came to the fore where various differing elements combined to make a reality in the post-modern culture. Collage, a technique with which to express a unique sense of texture has been used since a long time ago by fashion illustrators, finds itself expressed in much more diverse forms and characteristics, and its meanings changed, too. The purpose of this study is to analyze the formative characteristics of collage as expressed in fashion illustrations since 2000s and look into its aesthetic meanings, and in doing so, examine effects of changes along the times that have sought plural diversity on fashion illustrations. This study selected and examined from various collage techniques three collage expression techniques including papier colle, photo montage and assemblage frequently used as techniques of fashion illustrations. Papier colle technique expressed in fashion illustration simplify forms, thereby stressing linear elements, and express lines and planes At the same time, such works provide depth to planar spaces by overlapping objects and putting together differing elements, In fashion illustrations utilizing photo montage more than one images taken from photos are cut up and reconstructed, where illusory and sometimes shocking images are conveyed through particular forms or unrealistic compositions created by casual combination of unrelated images. Unique and eccentric images are conveyed by means of assemblage through the combination of various kinds of heterogeneous materials in fashion illustrations. This not only conveys fashion images sensitively but presents each fragment as objets regardless of its original functions, and attempts at new concepts.

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Fourier 급수전걔를 이용한 부분적으로 유체가 채워진 원통형 셸의 고유진동 해석 (Fourier Series Expansion Method for Free Vibration Analysis of a Partially Liquid-Filled Circular Cylindrical Shell)

  • 정경훈;이성철
    • 소음진동
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    • 제4권2호
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    • pp.163-175
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    • 1994
  • An analytical method for nautral frequencies of a partially liquid- filled circular cylindrical shell with various boundary conditions is developed by means of the Stokes's transformation and Fourier series expansion on the basis of Sanders' shell equation. The liquid-shell coupled system is divided into two regions for convenient formulation. One is the empty shell region in which the Sanders' shell equations are formulated without the lipuid effect, the other is wetted shell region in which the shell equations are formulated with consideration of the liquid dynamic effect. The shell equations for each regions are combined by the geometry and the force continuities at the junction of the two regions. For the vibration relevant to the liquid motion, the velocity potential of liquid is assumed as a sum of linear combination of suitable harmonic functions in axial direction. The unknown parameters are selected to satisfy the boundary condition along the wetted shell surface. The natural frequencies of the liquid filled cylindraical shells with the clamped- free and the clamped-clamped boundary conditions examined in the previous works, are obtained by this analytical method. The results are compared with the previous works, and excllent agreement is found for the natural frequencies of the shells.

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disk-type 초음파모터의 톡성평가 (Characteristics of disk-type linear Ultrasonic Motor)

  • 윤용진;박성희;강성화;임기조
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 추계학술대회 논문집 전기물성,응용부문
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    • pp.168-171
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    • 2005
  • In this paper, disk-type ultrasonic motor using a combination of radial and bending vibration modes is newly designed and fabricated. The characteristics of the test motor are also measured. By means of traveling elastic wave induced at the surface of circumference of the elastic disk, a steel bar in contact with the surface of circumferenceof elastic disk bonded onto the piezoelectric ceramic disks is driven in both directions by changing the sine and cosine voltage inputs. The stator of the motor is composed of two sheets of piezoelectric ceramic disk to bond onto both surfaces of a elastic disk, respectively. As the results, the diameter of elastic body is increased, the resonant frequency is decreased. The resonant frequency of the stator is about 92 kHz, which is composed with piezoelectric ceramic disks of 28 mm in diameter and 2 mm in thickness, and an elastic body of 32 mm in diameter and 2 mm in thickness. A driving voltage of 20 Vpp produces 200 rpm with a torque of 1Nm and an efficiency of about 10 %.

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