• 제목/요약/키워드: Langevin

검색결과 94건 처리시간 0.026초

국소장이 원자계에 미치는 영향에 대한 이론 II: 이준위 원자계에서의 거시 양자 Langevin 방정식의 유도 (Effect of local field on atomic systems II : Derivation of macroscopic quantum Langevin equations in two-level systems)

  • 안성혁
    • 한국광학회지
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    • 제14권1호
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    • pp.103-106
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    • 2003
  • 쌍극자들로 이루어진 이준위계의 해밀토니안이 주어질 때 이 계가 만족시키는 미시적인 양자 Langevin방정식을 유도하고, 이 방정식을 거시적인 구간 내에서 평균 함으로써 거시 양자 Langevin방정식을 유도하고 국소장 효과가 양자적으로 어떻게 표현되는 지를 살펴본다.

ON THE SOLVABILITY OF A NONLINEAR LANGEVIN EQUATION INVOLVING TWO FRACTIONAL ORDERS IN DIFFERENT INTERVALS

  • Turab, Ali;Sintunavarat, Wutiphol
    • Nonlinear Functional Analysis and Applications
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    • 제26권5호
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    • pp.1021-1034
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    • 2021
  • This paper deals with a nonlinear Langevin equation involving two fractional orders with three-point boundary conditions. Our aim is to find the existence of solutions for the proposed Langevin equation by using the Banach contraction mapping principle and the Krasnoselskii's fixed point theorem. Three examples are also given to show the significance of our results.

Langevin 진동자를 이용한 선형 초음파 모터의 특성 (A Characteristic of Linear Ultrasonic Motor using Langevin Type Transducer)

  • 서산동;박태곤
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2004년도 하계학술대회 논문집 Vol.5 No.2
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    • pp.627-630
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    • 2004
  • Transducer for linear ultrasonic motor with symmetric and anil anti-symmetric modes was studied. The transducer was composed of two Langevin-type vibrators that cross at right angles with each other at tip. In order to excite two vibration modes, two Langevin-type vibrators must have 90-degree phase difference with each other. As a result, tip of transducers moves in elliptical motion. Elliptical trajectoric of transducer was analyzed by employing the finite element method. From these results, the ultrasonic motor was fabricated and was measured for characteristics. In this paper compared an ANSYS analysis with an experiment results. The no-road maximum speed was 113.1[cm/s].

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랑주방형 압전 비틀림 변환기의 진동특성 (Vibration Characteristics of Langevin-Type Piezoelectric Torsional Transducers)

  • 권오수;김진오
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.612-617
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    • 2000
  • The vibrational characteristics of Langevin-type piezoelectric torsional transducers have been studied theoretically and experimentally in this paper. The differential equations of piezoelectric torsional motion have been derived in terms of the circumferential displacement and the electric potential. Solutions of the boundary-value problem have yielded the natural frequencies and mode shapes of the transducers. The theoretical solutions have been verified by comparing the numerical results with experimental ones.

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란쥬반형진동자에 관한 연구 (A study on the langevin type vibrators)

  • 박정엽;한득영;박태곤
    • 전기의세계
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    • 제30권1호
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    • pp.47-54
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    • 1981
  • The fabrication of Langevin type vibrators producing relatively high sonic and ultrasonic energy is described. The dependence of the acoustic output and the frequency characteristics on the thickness of the steel plates and the pressure at the ceramics are investigated. As results, the acoustic output of Langevin type vibrators are relatively high, and the resonant frequency is decreassed by thickening the steel plates and lowering the pressure at the ceramics. Using these results, sonic and ultrasonic vibrator whose resonant frequency is determined can be designed.

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2개의 란쥬반형 진동자를 이용한 선형 초음파 모터의 설계 및 FEA해석 (Design and FEA of Linear Ultrasonic Motor Using Two Langevin Type Vibrator)

  • 최명일;박태곤;김명호
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2002년도 하계학술대회 논문집 Vol.3 No.2
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    • pp.634-637
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    • 2002
  • Transducer for linear ultrasonic motor with symmetric and anti-symmetric modes was studied. The transducer was composed of two Langevin-type vibrators. In order to excite two vibration modes, Two Langevin-type vibrators must have 90-degree phase difference with each other. As result, tip of transducers moves in elliptical motion. In this paper, vibration shape of transducer was simulated and The resonant frequency and maximum displacement were calculated using the FEA (Finite Element Analysis).

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Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Langevin Equations

  • Sushma Basil;Santhi Antony;Muralisankar Subramanian
    • Kyungpook Mathematical Journal
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    • 제63권3호
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    • pp.437-450
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    • 2023
  • In this paper, we present a sufficient condition for the unique existence of solutions for a coupled system of nonlinear fractional Langevin equations with a new class of multipoint and nonlocal integral boundary conditions. We define a 𝓩*λ-contraction mapping and present the sufficient condition by identifying the problem with an equivalent fixed point problem in the context of b-metric spaces. Finally, some numerical examples are given to validate our main results.

베르누이 원리와 bolt-clamped Langevin type 초음파 진동자를 이용한 정상파 음파 공중부양의 탐구 (Investigation of standing wave acoustic levitation with Bernoulli principle and bolt-clamped Langevin type ultrasonic transducer)

  • 박민철;박두재;김영환
    • 한국음향학회지
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    • 제37권6호
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    • pp.422-427
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    • 2018
  • 본 연구에서는 소형 물체가 음파 정상파의 압력 마디 부근에 소형 물체가 부양하는 정상파 음파 공중부양(standing wave acoustic levitation) 현상에 대해 베르누이 원리를 이용하여 부양의 원인이 되는 음향 방사힘(acoustic radiation force)의 근원과 개형을 기존에 알려진 진동자에서 떨어진 거리에 따른 음향 방사힘의 그래프와 비교함을 통해 개념적으로 설명했다. 이러한 설명을 뒷받침하는 일련의 실험들을 BLT(Bolt-clamped Langevin Type) 초음파 진동자를 이용해서 수행하여, 물체들이 공기의 압력 마디 부근에 부양하고 있음을 확인했고, 물체가 부양하고 있는 상태에서 정상파가 형성되는 조건임을 확인했다. 더불어, 정상파 음파 공중부양 현상에서 부양하는 물체들이 수직하게 일렬로 정렬하는 현상 역시 설명할 수 있었다.

볼트조임 란쥬반형 진동자를 이용한 모드변환형-단일공진모드 초음파 모터에 관한 연구 (A Study on the Mode Conversion Type-Single Resonance Mode Ultrasonic Motor Using Bolt Tightened Langevin Type Vibrator)

  • 이재형;박태곤
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제53권3호
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    • pp.123-127
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    • 2004
  • Mode conversion type ultrasonic rotary motor using bolt tightened Langevin type vibrator was studied. Driving frequency of the motor, displacements and elliptical trajectories at tip of the coupler were simulated by finite element analysis program (ANSYS). Speed and torque of the fabricated motor were measured as functions of input voltage and load. As results, from FEA the driving frequency of 40.8[kHz] and useful elliptical trajectories were found. Fabricated motor rotated clockwise at frequency of 38.2[kHz]. Speed and torque of the motor were increased when the input voltage was increased. Maximum speed, torque and efficiency were 75[rpm], 0.14[Nm] and 6.28[%], respectively.