• Title/Summary/Keyword: Sinusoidal Function

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Position Control of Laser Scanning Mirror Using Piezoelectric Actuator (압전작동기를 이용한 레이져 스케닝 미러의 위치제어)

  • 지학래;김재환;최승복
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.442-445
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    • 1995
  • This paper presents the position tracking control of a laser scanning mirror system in which piezoelectic actuator is incorporated. Using the shear mode of the piezoelectric actuator,angular oscillation of a laser scanning mirror is derived. Torsion bar is rhen designed and attached to the piezoelctric actuator in order to magnify the amplitude generated by the actuator. Finite element modeling and analysis are essntial for designing the piezoelectic actuator. The torsional resonance mode of the piezoelectric actuator is found from the model analysis of the actuator and the mechanical shear is matched with the driving frequency. Transfer function between the electrical excitation and the mechanical shear deformation at resonance frequency is found form the response of the actuator calculated by the finite element analysis and the governing equation of the system is derived from d'Alembert's principle. Tracking control performance for desired trajectory which is, in fact, sinusoidal curve is presented in order to demonstrate the validity of the proposed system.

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Analytical Theory of Ball Bearing Considering Waviness of Rolling Elements (구름요소의 Waviness 를 고려한 볼베어링 해석 이론)

  • 정성원;장건희
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.7
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    • pp.275-286
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    • 2001
  • The research presents an analytical theory to calculate the characteristics of the bal bearing with waviness in its rolling elements considering the centrifugal force and gyroscopic moment of bal. The effects of centrifugal force and gyroscopic moment are introduced to the kinematic constraints and force equilibrium equations. and the waviness of rolling elements is modeled by sinusoidal function to calculate the contact force at each ball. The numerical solutions of governing equation of berating due to waviness are calculated by using the Newton-Raphson method. The accuracy of the research is validated by comparing the contact force. contact angle in case of considering the centrifugal force and gyroscopic moment of bal and the contact force and vibration frequencies in cases of considering waviness with the prior researches respectively. It investigates the stiffness, contact force. displacement and vibration frequencies of the ball bearing considering not only the centrifugal force and gyroscopic moment of ball but also the waviness of the rolling elements.

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Finite Element Analysis on the Dynamic Behaviors of a Disk-Pad Brake in High-Speed Trains (고속전철용 디스크-패드 브레이크의 동적거동 특성에 관한 유한요소해석)

  • 김청균;조승현
    • Tribology and Lubricants
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    • v.16 no.2
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    • pp.99-105
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    • 2000
  • Using a coupled thermal-mechanical analysis, the dynamic distortion of the ventilated disk brakes has been presented for a high-speed train. The offset ratio between the maximum and minimum values of the thermal distortions has been analyzed as a function of a braking number. The computed FEM results show that the offset ratios in radial direction are much greater than those of circumferentially distorted components. This means that the axial distortions in radial direction may dominantly produce thermally caused wears and cracks at the rubbing surfaces.

Process -dynamic Model for Stock-fluid in a Pressurized Paper Machine Headbox (초지기 가압-헤드박스 내 지료유체의 공정-동특성모델)

  • 윤성훈
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.31 no.3
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    • pp.35-46
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    • 1999
  • Mathematical modeling provided a systematic analysis for the dynamic behavior of stock fluid in a paper machine pressurized headbox. Dynamic responses of liquid level, sheet basis weight and hydraulic pressure were predicted from the simulation model which represents the system. A unit step and asinusoidal wave load were considered as the input forcing functions in the headbox. Results are summarized as follows : 1. The dependence of sheet basis weight on liquid level in the pressurized-headbox was non -linear. 2. Liquid level in the head-box showed first-order lag with a unit step forcing to fluid input rate ; 3 . The amplitude of wave response of liquid level was inversely proportional to the time content for the sinusoidal input changes ; 4.Sheet basis weight showed second-order oscillating underamped responses for the step input load of flow rate ; 5. The damping factor in the second-order system was a function of air-pressure in the headbox ; and, 6. Dead-time existed in the measuring process for the headbox slice pressure.

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Lateral-torsional buckling of functionally graded tapered I-beams considering lateral bracing

  • Rezaiee-Pajand, Mohammad;Masoodi, Amir R.;Alepaighambar, Ali
    • Steel and Composite Structures
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    • v.28 no.4
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    • pp.403-414
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    • 2018
  • In this paper, the lateral-torsional buckling of axially-transversally functionally graded tapered beam is investigated. The structure cross-section is assumed to be symmetric I-section, and it is continuously laterally supported by torsional springs through the length. In addition, the height of cross-section varies linearly throughout the length of structure. The proposed formulation is obtained for the case that the elastic and shear modulus change as a power function along the beam length and section height. This structure carries two concentrated moments at the ends. In this study, the lateral displacement and twisting angle relation of the beam are defined by sinusoidal series. After establishing the eigenvalue equation of unknown constants, the beam critical bending moment is found. To validate the accuracy and correctness of results, several numerical examples are solved.

Analysis of laminated and sandwich spherical shells using a new higher-order theory

  • Shinde, Bharti M.;Sayyad, Atteshamudin S.
    • Advances in aircraft and spacecraft science
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    • v.7 no.1
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    • pp.19-40
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    • 2020
  • In the present study, a fifth-order shear and normal deformation theory using a polynomial function in the displacement field is developed and employed for the static analysis of laminated composite and sandwich simply supported spherical shells subjected to sinusoidal load. The significant feature of the present theory is that it considers the effect of transverse normal strain in the displacement field which is eliminated in classical, first-order and many higher-order shell theories, while predicting the bending behavior of the shell. The present theory satisfies the zero transverse shear stress conditions at the top and bottom surfaces of the shell. The governing equations and boundary conditions are derived using the principle of virtual work. To solve the governing equations, the Navier solution procedure is employed. The obtained results are compared with Reddy's and Mindlin's theory for the validation of the present theory.

Nonlinear deflection responses of layered composite structure using uncertain fuzzified elastic properties

  • Patle, B.K.;Hirwani, Chetan K.;Panda, Subrata Kumar;Katariya, Pankaj V.;Dewangan, Hukum Chand;Sharma, Nitin
    • Steel and Composite Structures
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    • v.35 no.6
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    • pp.753-763
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    • 2020
  • In this article, the influence of fuzzified uncertain composite elastic properties on non-linear deformation behaviour of the composite structure is investigated under external mechanical loadings (uniform and sinusoidal distributed loading) including the different end boundaries. In this regard, the composite model has been derived considering the fuzzified elastic properties (through a triangular fuzzy function, α cut) and the large geometrical distortion (Green-Lagrange strain) in the framework of the higher-order mid-plane kinematics. The results are obtained using the fuzzified nonlinear finite element model via in-house developed computer code (MATLAB). Initially, the model accuracy has been established and explored later to show the dominating elastic parameter affect the deflection due to the inclusion of fuzzified properties by solving a set of new numerical examples.

Anticontrol of Chaos for a Continuous-time TS Fuzzy System via Time-delay Feedback

  • Zhong Li;Park, Jin-Bea;Joo, Young-Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.108.1-108
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    • 2001
  • A time-delay feedback control approach is proposed for making a given stable continuous-time Takagi-Sugeno (TS) fuzzy system chaotic, which is based on the fuzzy feedback linearization and a suitable approximate relationship between a time-delay differential equation and a discrete map. The time-delay feedback controller, chosen among several candidates, is a simple sinusoidal function of the delay states of the system, which has small amplitude. This approach is mathematically proven for rigorous generation of chaos from stable continuous-time TS fuzzy systems, where the generated chaos is in the sense of Li and Yorke. Numerical examples are included to visualize the theoretical analysis and the controller design.

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Detection of Impulse Signal in Noise Using a Minimum Variance Cepstrum-Theory (최소 분산 캡스트럼을 이용한 노이즈속에 묻힌 임펄스 검출방법-이론)

  • 최영철;김양한
    • Journal of KSNVE
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    • v.10 no.4
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    • pp.642-647
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    • 2000
  • Conventional cepstrum has been widely used to detect echo and fault signals embedded in noise. One of the problems of finding impulse signals using the conventional cepstrum in that it is normally very sensitive to signal to noise ratio (SNR). This paper proposes a signal processing method to detect impulse signal in noisy environment. Because the proposed method minimizes the variance of signal power at a cepstrum domain, it is suggested to be called as minimum variance cepstrum (MV cepstrum). Computer simulations have been performed to understand the characteristics of the MV cepstrum. Both mathematical approach and computer simulations confirmed that the MV cepstrum is a useful technique to detect impulse in noisy environment.

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Torsional Elastic Waves Propagating in a Cylinder with a Periodically Corrugated Outer Surface (주기적으로 울퉁불퉁한 실린더에서 전파하는 비틂 탄성파)

  • Kim Jin Oh
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.303-306
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    • 1999
  • The paper describes a theoretical study on the speed of the torsional elastic waves propagating in a circular cylinder whose outer radius varies periodically as a harmonic function of the axial coordinate. The approximate solution for the phase speed has been obtained using the perturbation technique for sinusoidal modulation of small amplitude. It is shown that the wave speed in the cylinder with a corrugated outer surface is less than that in a smooth cylinder by the square of the amplitude of the surface perturbation. This theoretical prediction agrees reasonably with an experimental observation reported earlier. It is also shown that the wave speed reduction due to the surface corrugation becomes larger for a thinner cylinder and for a bigger density of corrugation.

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