• 제목/요약/키워드: Frequency response Function

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Volterra급수로 나타낸 비선형시스템 주파수응답함수의 수렴특성 (Convergence Characteristics of the Frequency Response Functions of Non-Linear Systems Expressed in Terms of the Volterra Series)

  • 이건명
    • 대한기계학회논문집
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    • 제19권8호
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    • pp.1901-1906
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    • 1995
  • The frequency response functions of systems incorporating a non-linear cubic stiffness subject to sinusoidal excitation are derived using the Volterra series and the convergence characteristics investigated. It is shown that the series representation of the frequency response functions converges only when the sinewave input amplitude is within a certain range. Within the range of convergence the frequency response function based on the Volterra series approaches the analytical one as more higher order frequency response function terms are included. Proposed is a criterion for the studies systems to predict approximately the range of sinewave input amplitude for which the series representation of the frequency response functions converges.

진동수응답함수 측정에 따른 펌프 가진력 산정 (Estimation of Pump Induced Vibration Force by Frequency Response Function)

    • 한국지진공학회논문집
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    • 제3권1호
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    • pp.103-112
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    • 1999
  • 본 연구는 두 지점간의 진동수 응답함수를 이용하여 시간 및 진동수 영역에서의 원심펌프(20Hp. 50Hp) 가진력을 추정하기 위한 것이다. 진동수 응답함수는 실수부와 허수부에 대한 신호정보를 가지고 있으며 응답함수 역시 실수부와 허수부에 대한 신호정보를 가지고 있다 따라서 이들 진동수 응답함수 및 응답함숴의 복소수 계산으로부터 가진력을 실험적으로 구하였으며 이론적인 방법에 의하여 구한 가진력과 실험적으로 구한 값을 비교함으로서 펌프에 의한 주진동수 성분의 크기는 펌프 및 모터중량의 10-25% 정도가 됨을 제시하였다. 가진력 산정을 위한 시간영역에서의 불평형질량의 크기는 펌프 및 모터중량의 약 30-60%임을 알수 있었다 한편 펌프회전에 의한 진동은 주진동수 이외에도 주진동수의 2-3배의 크기를 갖는 성분이 있음을 알 수 있었으며 대상 콘크리트 슬래브의 고유진동수와의 가진진도수비를 달리함에 따라 정확한 진동전달률을 조절하는데 활용할 수 있다.

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An accurate substructural synthesis approach to random responses

  • Ying, Z.G.;Zhu, W.Q.;Ye, S.Q.;Ni, Y.Q.
    • Structural Engineering and Mechanics
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    • 제39권1호
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    • pp.47-75
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    • 2011
  • An accurate substructural synthesis method including random responses synthesis, frequency-response functions synthesis and mid-order modes synthesis is developed based on rigorous substructure description, dynamic condensation and coupling. An entire structure can firstly be divided into several substructures according to different functions, geometric and dynamic characteristics. Substructural displacements are expressed exactly by retained mid-order fixed-interfacial normal modes and residual constraint modes. Substructural interfacial degree-of-freedoms are eliminated by interfacial displacements compatibility and forces equilibrium between adjacent substructures. Then substructural mode vibration equations are coupled to form an exact-condensed synthesized structure equation, from which structural mid-order modes are calculated accurately. Furthermore, substructural frequency-response function equations are coupled to yield an exact-condensed synthesized structure vibration equation in frequency domain, from which the generalized structural frequency-response functions are obtained. Substructural frequency-response functions are calculated separately by using the generalized frequency-response functions, which can be assembled into an entire-structural frequency-response function matrix. Substructural power spectral density functions are expressed by the exact-synthesized substructural frequency-response functions, and substructural random responses such as correlation functions and mean-square responses can be calculated separately. The accuracy and capacity of the proposed substructure synthesis method is verified by numerical examples.

웨이블렛 변환을 이용한 질량선 및 강체특성의 규명 (Identification of Mass-Lines and Rigid Body Properties using Wavelet Transform)

  • 안세진;정의봉;황대선
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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    • pp.115-120
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    • 2002
  • The rigid body properties of a structure may be estimated easily if the mass-line of the structure could be taken exactly. However, the exact mass-line may be hard to be obtained exactly in experiments. The mass line value can be read from the mass line in frequency response function. However, the mass lines in the frequency response function sometimes show the fluctuation with frequency, and it cannot be read correctly. In this paper, the wavelet transform is applied to obtain the good mass line value. The mass line calculated by using wavelet transform has unique value and showed in the range of fluctuated values of frequency response function. The rigid body properties obtained by wavelet transform also showed better results than those by fourier transform.

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웨이블렛 변환을 이용한 질량선 및 강체특성의 규명 (Identification of Mass-lines and Rigid Body Properties Using Wavelet Transform)

  • 안세진;정의봉;황대선
    • 한국소음진동공학회논문집
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    • 제12권9호
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    • pp.725-730
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    • 2002
  • The rigid body properties of a structure may be estimated easily if the mass-line of the structure could be taken exactly. However, the exact mass-line nay be hard to be obtained exactly in experiments. The mass line value can be read from the mass line in frequency response function. However, the mass lines in the frequency response function sometimes show the fluctuation with frequency, and it cannot be read correctly. In this paper, the wavelet transform is applied to obtain the good mass line value. The mass line calculated by using wavelet transform has unique value and showed in the range of fluctuated values of frequency response function. The rigid body properties obtained by wavelet transform also showed better results than those by fourier transform.

Open Loop Responses of Posture Complexity in Biomechanics

  • Shin, Youngkyun;Park, Gu-Bum
    • 조명전기설비학회논문지
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    • 제27권8호
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    • pp.42-50
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    • 2013
  • The reactionary responses to control human standing dynamics were estimated under the assumption that postural complexity mainly occurs in the mid-sagittal plane. During the experiment, the subject was exposed to continuous horizontal perturbation. The ankle and hip joint rotations of the subject mainly contributed to maintaining standing postural control. The designed mobile platform generated anterior/posterior (AP) motion. Non-predictive random translation was used as input for the system. The mean acceleration generated by the platform was measured as $0.44m/s^2$. The measured data were analyzed in the frequency domain by the coherence function and the frequency response function to estimate its dynamic responses. The significant correlation found between the input and output of the postural control system. The frequency response function revealed prominent resonant peaks within its frequency spectrum and magnitude. Subjects behaved as a non-rigid two link inverted pendulum. The analyzed data are consistent with the outcome hypothesized for this study.

Frequency Response Characteristics of Air-Cooled Condenser in Case of Inputting Various Disturbances

  • Kim, Jae-Dol;Oh, Hoo-Kyu;Yoon, Jung-In
    • International Journal of Air-Conditioning and Refrigeration
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    • 제8권1호
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    • pp.14-28
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    • 2000
  • The frequency response characteristics of a condenser were numerically studied for the control of refrigeration and air conditioning systems. The important parameters, such as the refrigerant flow rate, refrigerant temperature, air velocity, and air temperature at the condenser inlet, were analyzed. Superheated vapor, two phase, and subcooled liquid domain in condenser can be described by using the energy balance equation and the mass balance equation in refrigerant and tube wall, the basic equation for describing the dynamic characteristics of condenser can be derived. The transfer function for describing dynamic response of the condenser to disturbances can be obtained from using linearizations and Laplace transformations of the equation. From this transfer function, analytical investigation which affects the frequency responses of condenser has been made. Block diagrams were made based on the analytic transfer function; dynamic responses were evaluated in Bode diagrams on the frequency response. Through this study, it became possible that the information about the dynamic characteristics of air-cooled condenser is offered. The results may be used for determining the optimum design parameters in actual components and entire systems. Also, the mathematical models, frequency response may be used to help understanding, evaluate optimum design parameters, design control systems and determine on setting the best controller for the refrigeration and air-conditioning systems.

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Application of frequency domain analysis for generation of seismic floor response spectra

  • Ghosh, A.K.
    • Structural Engineering and Mechanics
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    • 제10권1호
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    • pp.17-26
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    • 2000
  • This paper presents a case study with a multi-degree-of-freedom (MDOF) system where the Floor Response Spectra (FRS) have been derived from a large ensemble of ground motion accelerograms. The FRS are evaluated by the frequency response function which is calculated numerically. The advantage of this scheme over a repetitive time-history analysis of the entire structure for each accelerogram of the set has been highlighted. The present procedure permits generation of FRS with a specified probability of exceedence.

기체 전달 관로에 있어서 압력 전파의 주파수 응답에 대한 부하 임피던스의 영향 (The Effect of Load Impedances on the Frequency Response of Pressure Propagation in the Pneumatic Transmission Line)

  • 윤선주;손병진
    • 설비공학논문집
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    • 제6권4호
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    • pp.344-353
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    • 1994
  • This study numerically analyzed the dynamic characteristics of the frequency response on the pneumatic transmission line with load impedances. The pressure transfer function is represented by the distributed parameter line model. To validate the mathematical approximations of Bessel function ratios, the results of frequency response in a blocked line were compared with those obtained by the Infinite-product, Brown's and Square-root approximations. Special emphasis was given to the frequency response characteristics on the pneumatic transmission line with load impedances. Computations were carried out for the wide range of parameters in terms of load capacitance ratio and load resistance ratio. The present results indicated that the theoretical model is capable of accurately predicting the frequency response characteristics for any configuration of a fluid transmission line.

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주파수 응답함수를 이용한 구조물 고유진동수 극대화를 위한 최적 지지점 선정 (Selection of Optimal Supporting Position to Maximize Natural Frequency of the Structure Using Frequency Response Function)

  • 박용화;정완섭;박윤식
    • 소음진동
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    • 제10권4호
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    • pp.648-654
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    • 2000
  • A procedure to determine the realizable optimal positions of rigid supports is suggested to get a maximum fundamental natural frequency. a measured frequency response function based substructure-coupling technique is used to model the supported structure. The optimization procedure carries out the eigenvalue sensitivity analysis with respect to the stiffness of supports. As a result of such stiffness optimization, the optimal rigid-support positions are shown to be determined by choosing the position of the largest stiffness. The optimally determined support conditions are verified to satisfy the eigenvalue limit theorem. To demonstrate the effectiveness of the proposed method, the optimal support positions of a plate model are investigated. Experimental results indicate that the proposed method can effectively find out the optimal support conditions of the structure just based on the measured frequency response functions without any use of numerical model of the structure.

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