• 제목/요약/키워드: fundamental

검색결과 13,961건 처리시간 0.04초

직교이방성 재료에 대한 경계요소법(BEM)의 기본해에 관한 연구 (A study of fundamental solution of BEM for orthotropic materials)

  • 이갑래;조상봉;최용식
    • 오토저널
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    • 제12권2호
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    • pp.51-58
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    • 1990
  • According to the developments of various composite materials, it seems to be very important to evaluate the strength and fracture behavior of composite materials. When the composite material is considered as orthotropic material, the characteristic equation of orthotropic material have complex roots. If characteristic roots are equal, the fundamental solutions of BEM become singular ones. This paper analyse the fundamental solutions of the singular problem of orthotropic material using the analogous method to isotropic material.

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RIEMANN-LIOUVILLE FRACTIONAL FUNDAMENTAL THEOREM OF CALCULUS AND RIEMANN-LIOUVILLE FRACTIONAL POLYA TYPE INTEGRAL INEQUALITY AND ITS EXTENSION TO CHOQUET INTEGRAL SETTING

  • Anastassiou, George A.
    • 대한수학회보
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    • 제56권6호
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    • pp.1423-1433
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    • 2019
  • Here we present the right and left Riemann-Liouville fractional fundamental theorems of fractional calculus without any initial conditions for the first time. Then we establish a Riemann-Liouville fractional Polya type integral inequality with the help of generalised right and left Riemann-Liouville fractional derivatives. The amazing fact here is that we do not need any boundary conditions as the classical Polya integral inequality requires. We extend our Polya inequality to Choquet integral setting.

NEW BOUNDS FOR FUNDAMENTAL UNITS AND CLASS NUMBERS OF REAL QUADRATIC FIELDS

  • Isikay, Sevcan;Pekin, Ayten
    • 대한수학회보
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    • 제58권5호
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    • pp.1149-1161
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    • 2021
  • In this paper, we present new bounds on the fundamental units of real quadratic fields ${\mathbb{Q}}({\sqrt{d}})$ using the continued fraction expansion of the integral basis element of the field. Furthermore, we apply these bounds to Dirichlet's class number formula. Consequently, we provide computational advantages to estimate the class numbers of such fields. We also give some numerical examples.

A FUNDAMENTAL THEOREM OF CALCULUS FOR THE Mα-INTEGRAL

  • Racca, Abraham Perral
    • 대한수학회논문집
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    • 제37권2호
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    • pp.415-421
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    • 2022
  • This paper presents a fundamental theorem of calculus, an integration by parts formula and a version of equiintegrability convergence theorem for the Mα-integral using the Mα-strong Lusin condition. In the convergence theorem, to be able to relax the condition of being point-wise convergent everywhere to point-wise convergent almost everywhere, the uniform Mα-strong Lusin condition was imposed.

An Over Current Protection Scheme for Hybrid Active Power filter

  • Lee Woo-Cheol;Chae Beom-Seok;Hyun Dong-Seok;Lee Taeck-Kie
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2001년도 Proceedings ICPE 01 2001 International Conference on Power Electronics
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    • pp.571-575
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    • 2001
  • A protection scheme for hybrid active power filters, which is combined shunt passive filter and small rated series active filter, is presented and analyzed in this paper. The proposed series active power filter operated as a high impedance 'k($\Omega$)' to the fundamental component when over current occurs in the power distribution system, and three control strategies are proposed in this paper. The first is the method by detecting the fundamental source current through the p-q theory, the second is the method by detecting the fundamental component of load current in Synchronous Reference Frame (SRF) and the third is the method by detecting the input voltage. When the over current occurs in the power distribution system, the proposed scheme protects the series active power filter without additional protection circuits. The validity of proposed protection scheme is investigated through experimental result for the prototype hybrid active power filter system.

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통합적 동작활동이 종일제 유아의 기본운동능력 및 신체표현능력에 미치는 영향 (Effects of Integrated Movement on Children's Fundamental and Expressive Movement Ability in All-day Kindergarten)

  • 정세호;엄정애
    • 아동학회지
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    • 제23권5호
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    • pp.153-166
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    • 2002
  • This study investigated the effectiveness of integrated movement on children's fundamental and expressive movement ability in all-day kindergarten. Subjects were 52 children in 2 all-day kindergartens in Daejeon. The Subjects were divided into an experimental and a control group. Integrated movement activities were applied in the experimental group for 7 weeks. Integrated movement activities were focused on the life theme according to the annual and weekly education plan and were composed by integrating both the basic area and the application area of movement. At the end of the training period, differences were found in fundamental and expressive movement ability between the experimental and the control groups.

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정상인과 후두폴립환자에서의 음성학적 측정 (Acoustic Measures from Normal and Vocal Polyp Patients)

  • 최홍식;장미숙;이정준
    • 대한후두음성언어의학회지
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    • 제5권1호
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    • pp.38-43
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    • 1994
  • Though normal vocal cords show regular vibration, pathologic vocal cords show irregularity between peaks. Jitter means fluctuation in the time interval between peaks, and Shimmer means cycle to cycle variation in the amplitude of the peaks. We investigated the vocal vibration of Korean normal persons objectively. The fundamental frequency, Jitter, Shimmer and SNR(signal to noise ratio) of normal persons were compared with that of vocal Polyp Patients with CSpeech Program for the possibility of distinguishing the pathologic vocal vibration from normal. The results were as follows ; Comparing the fundamental frequency of vocal Polyp Patients with normal persons, great change was noted only in female cases. But the Jitter and Shimmer of vocal polyp patients were greater than normal significantly in both male and female cases. SNR was lower than normal in vocal polyp patients. In the conclusion, fundamental frequency, Jitter, Shimmer and SNR might be meaningful parameters distinguisuing pathologic vibration from normal.

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Topology Optimization of Plane Structures using Modal Strain Energy for Fundamental Frequency Maximization

  • Lee, Sang-Jin;Bae, Jung-Eun
    • Architectural research
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    • 제12권1호
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    • pp.39-47
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    • 2010
  • This paper describes a topology optimization technique which can maximize the fundamental frequency of the structures. The fundamental frequency maximization is achieved by means of the minimization of modal strain energy as an inverse problem so that the strain energy based resizing algorithm is directly used in this study. The strain energy to be minimized is therefore employed as the objective function and the initial volume of structures is used as the constraint function. Multi-frequency problem is considered by the introduction of the weight which is used to combine several target modal strain energy terms into one scalar objective function. Several numerical examples are presented to investigate the performance of the proposed topology optimization technique. From numerical tests, it is found to be that the proposed optimization technique is extremely effective to maximize the fundamental frequency of structure and can successfully consider the multi-frequency problems in the topology optimization process.

STRONG k-DEFORMATION RETRACT AND ITS APPLICATIONS

  • Han, Sang-Eon
    • 대한수학회지
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    • 제44권6호
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    • pp.1479-1503
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    • 2007
  • In this paper, we study a strong k-deformation retract derived from a relative k-homotopy and investigate its properties in relation to both a k-homotopic thinning and the k-fundamental group. Moreover, we show that the k-fundamental group of a wedge product of closed k-curves not k-contractible is a free group by the use of some properties of both a strong k-deformation retract and a digital covering. Finally, we write an algorithm for calculating the k-fundamental group of a dosed k-curve by the use of a k-homotopic thinning.