• 제목/요약/키워드: nonlinear oscillator

검색결과 91건 처리시간 0.037초

분수 차수 미분 방정식과 주기적인 외력을 가진 Van der Pol 발진기에서의 비선형 거동 해석 (Analysis of Nonlinear Behavior in Fractional Van der Pol Equation with Periodic External Force and Fractional Differential Equation)

  • 이정구;김순환;배영철
    • 한국전자통신학회논문지
    • /
    • 제11권2호
    • /
    • pp.191-196
    • /
    • 2016
  • Van der Pol 발진기는 비선형 제동 현상을 가진 비보존 발진기로서 높은 진폭에서의 에너지는 소산적이며 낮은 진폭들에서는 생성되는 구조를 가진다. 본 논문에서는 분수 차수를 가지는 Van der Pol 발진기 모델에서 주기적 외력을 인가하였을 경우 분수차수로 표현되는 미분 방정식에서 분수차수의 파라미터 변화에 따른 리미트 사이클이 변화 상태를 확인하고자 한다.

Nonlinear Tuned Mass Damper for self-excited oscillations

  • Gattulli, Vincenzo;Di Fabio, Franco;Luongo, Angelo
    • Wind and Structures
    • /
    • 제7권4호
    • /
    • pp.251-264
    • /
    • 2004
  • The effects of a class of nonlinear Tuned Mass Dampers on the aeroelastic behavior of SDOF systems are investigated. Unlike classical linear TMDs, nonlinear constitutive laws of the internal damping acting between the primary oscillator and the TMD are considered, while the elastic properties are keept linear. The perturbative Multiple Scale Method is applied to derive a set of bifurcation equations in the amplitude and phase and a parametric analysis is performed to describe the postcritical scenario of the system. Both cubic- and van der Pol-type dampings are considered and the dependence of the limit-cycle amplitudes on the system parameters is studied. These new results, compared with the previously obtained bifurcation scenario of a SDOF aeroelastic oscillator equipped with a linear TMD, show a detrimental effect on the maximum limit-cycle amplitude reduction of the nonlinear TMD. However, the analyses evidence that in the parameter region away from the perfect tuning condition the nonlinear connection can be used to tune the system with an enhancement of the limit-cycle amplitude reduction.

Optimal extended homotopy analysis method for Multi-Degree-of-Freedom nonlinear dynamical systems and its application

  • Qian, Y.H.;Zhang, Y.F.
    • Structural Engineering and Mechanics
    • /
    • 제61권1호
    • /
    • pp.105-116
    • /
    • 2017
  • In this paper, the optimal extended homotopy analysis method (OEHAM) is introduced to deal with the damped Duffing resonator driven by a van der Pol oscillator, which can be described as a complex Multi-Degree-of-Freedom (MDOF) nonlinear coupling system. Ecumenically, the exact solutions of the MDOF nonlinear coupling systems are difficult to be obtained, thus the development of analytical approximation becomes an effective and meaningful approach to analyze these systems. Compared with traditional perturbation methods, HAM is more valid and available, and has been widely used for nonlinear problems in recent years. Hence, the method will be chosen to study the system in this article. In order to acquire more suitable solutions, we put forward HAM to the OEHAM. For the sake of verifying the accuracy of the above method, a series of comparisons are introduced between the results received by the OEHAM and the numerical integration method. The results in this article demonstrate that the OEHAM is an effective and robust technique for MDOF nonlinear coupling systems. Besides, the presented methods can also be broadly used for various strongly nonlinear MDOF dynamical systems.

가변 부성저항을 이용한 새로운 CMOS 뉴럴 오실레이터의 집적회로 설계 및 구현 (Integrated Circuit Design and Implementation of a Novel CMOS Neural Oscillator using Variable Negative Resistor)

  • 송한정
    • 전자공학회논문지SC
    • /
    • 제40권4호
    • /
    • pp.275-281
    • /
    • 2003
  • 0.5㎛ 2중 폴리 CMOS 공정을 이용하여 새로운 뉴럴 오실레이터를 설계, 제작하였다. 제안하는 뉴럴 오실레이터는 트랜스콘덕터 및 캐패시터와 비선형 가변 부성저항으로 이루어진다. 뉴럴 오실레이터의 입력단으로 사용되는 비선형 가변 부성저항은 정귀환의 트랜스콘덕터와 가우시안 분포의 전류전압 특성을 지니는 범프 회로를 이용하여 구현하였다. 또한 SPICE 모의실험을 통하여 제안한 오실레이터의 특성분석 후 집적회로 설계를 실시하였다. 한편 흥분성 및 억제성 시냅스로 연결된 4개의 뉴럴 오실레이터로 간단한 신경회로망을 구성하여 그 특성을 확인하였다. 집적회로로 제작된 뉴럴 오실레이터에 대하여 ± 2.5 V 전원 조건하에서 측정된 결과를 분석하고 모의실험 결과와 비교한다.

디지털 MMDS 하향변환기용 저 위상잡음 주파수 합성기의 설계 (Design of Low Phase Noise Frequency Synthesizer for Digital MMDS Downconverter)

  • 김영진
    • 한국정보통신학회논문지
    • /
    • 제6권2호
    • /
    • pp.151-158
    • /
    • 2002
  • 본 논문에서는 저 위상잡음과 고안정 특성을 나타내는 디지털 MMDS용 위상고정 발진기를 설계하였으며 전압제어 발진기용 능동소자의 비선형 등가모델에 의하여 저 위상잡음 파라미터와 안정된 전압제어 발진기의 필요충분 조건을 분석하였다. 설계된 전압제어 발진기에 위상고정루프를 적용하여 위상고정 마이크로파 발진기를 구현하였으며 고안정 전압제어 발진기에 대하여 시뮬레이션한 결과 -90dBc/Hz @ 10KHz의 위상잡음을 보였으며 위상고정 마이크로파 발진기에 대한 실험 결과 -85dBc/Hz @ 10KHz의 위상잡음을 얻었다. 고안정도와 저 위상잡음특성을 나타내는 위상고정 마이크로파 발진기의 설계모델을 디지털 MMDS 단말기용 고안정 주파수 합성기로 응용할 수 있음을 보였다.

주입 동기 방식을 이용한 5GHz 대역 자기발진 주파수 혼합기의 설계 및 제작 (Design and Fabrication of Self-Oscillating Mixer Using Subharmonic Injection Locked Oscillator for 5GHz)

  • 류재종;이주갑;류원열;윤영섭;최현철
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 2003년도 통신소사이어티 추계학술대회논문집
    • /
    • pp.86-89
    • /
    • 2003
  • In this paper, Self-Oscillating Mixer is designed by oscillator that was based on a general nonlinear input-output model for the subharmonic injection locked oscillator is analysed. We have designed and fabricated the Self-Oscillating Mixer for 5GHz by proposed subharmonic injection locked oscillator based frequency synthesizer structure that have characteristic of good frequency sensitivity, good phase noise. The design strategy leading to an optimized SILO with regards to its locking range is described and a test SOM circuit is demonstrated a 4dB conversion gain at 280MHz IF frequency from the carrier.

  • PDF

소형 Haripin 공진기를 이용한 K 대역 Push-Push형 발진기 (The K-band push-push type miniaturized haripin resonator oscillator)

  • 주한기
    • 한국통신학회논문지
    • /
    • 제22권5호
    • /
    • pp.967-973
    • /
    • 1997
  • In this paper, the designed and fabrication of a K-band push-push oscillator using miniaturized hairpin resonator have been presented. One experimenal oscillator has been designed and fabricated for K-band point-to-point operation. the miniaturized harpin resonator has been analyzed theoretically and simulated by MPIE(Mixed Potential Integral Equation) method. With this results, the analysis of hairpin resonator which coupled microstrip line has been carried out with transmission-mode using this results. an optimized output matching network for the suppression of the fundamental and the 3rd order harmonic was acquired by using a nonlinear analysis method. The fabricated oscillator shows the output power of -2.28dBm, the fundamental frequency suppression of -19dBc, the 3rd order harmonic suppressionof -24dBc and 0.33 percent effiiency at 22.8GHz. The experimental outputs are in good agreement with the theoretical and simulated results.

  • PDF

비선형시스템의 데드비트응답 특성 연구 (A Study on the Deadbeat Response Attribute of Nonlinear Systems)

  • 송자윤
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2001년도 하계학술대회 논문집 D
    • /
    • pp.1993-1995
    • /
    • 2001
  • The subject of nonlinear control is an important area of automatic control. The behavior of nonlinear systems is much more complex. If the operating range of a control system is small, and if the involved nonlinearities are smooth, then the control system may be resonably approximated by a set of linear differential equations. This paper presents the deadbeat response attribute of some nonlinear systems, e.g., magnetic levitation, pendulum, van der pol oscillator etc.. The studied results through the computer simulation are shown a promising attribute of deadbeat response that the outputs of the systems are reached relatively fast the steady state.

  • PDF

960 MHz대역 다층구조 VCO 설계 (Design of Multi-layer VCO for 960 MHz Band)

  • 이동희;정진휘
    • 한국전기전자재료학회논문지
    • /
    • 제15권6호
    • /
    • pp.492-498
    • /
    • 2002
  • In this paper, we present the simulation results of multi-layer VCO(voltage controlled oscillator), which is composed of resonator, oscillator, and buffer circuit, using EM simulator and nonlinear RF circuit simulator. EM simulator is used for obtaining the EM(Electromagnetic) characteristics of conductor pattern as well as designing the multi-layer VCO. Obtained EM characteristics were used as real components in nonlinear RF circuit simulation. Finally the overall VCO was simulated by the nonlinear RF circuit simulator. The material for the circuit pattern was Ag and the dielectric was Dupont 951AT, which will be applied for LTCC process. The structure of multi-layer VCO is constructed with 4 conducting layer. Simulated results showed that the output level was about 4.5 [dBm], the phase noise was -104 [dBc/Hz] at 30 [kHz] offset frequency, the harmonics -8 dBc, and the control voltage sensitivity of 30 [MHz/V] with a DC current consumption of 9.5 [mA]. The size of VCO is $6{\times}9{\times}2 mm$(0.11 [cc]).