• Title/Summary/Keyword: frequency response function (FRF)

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A Study on the Vibration Criteria Decision for High Technology Facilities using FRF (주파수 응답함수를 이용한 고정밀 장비의 진동허용규제치 결정기법에 관한 연구)

  • 이홍기;김두훈;김사수
    • Journal of KSNVE
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    • v.6 no.3
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    • pp.363-373
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    • 1996
  • In the case of a precision equipment, it requires a vibration free environment to provide its proper function. Especially, lithography and inspection devices, which have sub-nanometer class high accuracy and resolution, have come to necessity for producing more improved giga class semiconductor wafers. This high technology equipments require very strict environmental vibration standard in promotion to the accuracy of the manufacturing, inspecting devices. The vibration criteria are usually obtained either by the real vibration exciting test on the equipment or by the analytical calculation. The former is accurate but requires a great deal of time and efforts while the latter lacks reliability. This paper proposes a new method to solve this problem at a time. The permissible vibration level to a precision equipment can be easily obtained by analyzing the process of Frequency Response Function(FRF). This paper also demonstrates its effectiveness by applying the proposed method to finding the permissible vibration criteria of a Computer Hard Disk Drive.

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Calculating Method of FRF with Sub-structure Mode Synthesis Method (부분구조 모드합성법에 의한 주파수응답함수 산출법)

  • Oh, Chang-Guen;Park, Kyung-Il;Park, Sok-Chu
    • Journal of Advanced Marine Engineering and Technology
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    • v.39 no.4
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    • pp.393-398
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    • 2015
  • A very important part in vibration analysis is to calculate the frequency response function (FRF). In general, a large sized or/and complicated structure has many thousands to millions of degrees. Therefore, the FRF cannot be calculated by the traditional analysis method using an inverse matrix. This paper presents a new FRF calculation method of a superstructure by synthesizing sub-structure modes, of which the DOF can be deduced by partitioning into some sub-structures. To confirm its analysis results, the method was applied to an assembled plate ($B300{\times}L900{\times}t5mm$) with three diagonal sub-plates($B300{\times}L300{\times}t5mm$) in series and compared with the measured data. The test results have were comparable those of the calculated ones with an error less than 5%.

System Identification of In-situ Vehicle Output Torque Measurement System (차량 출력 토크 측정 시스템의 시스템 식별)

  • Kim, Gi-Woo
    • Transactions of the Korean Society of Automotive Engineers
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    • v.20 no.2
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    • pp.85-89
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    • 2012
  • This paper presents a study on the system identification of the in-situ output shaft torque measurement system using a non-contacting magneto-elastic torque transducer installed in a vehicle drivline. The frequency response (transfer) function (FRF) analysis is conducted to interpret the dynamic interaction between the output shaft torque and road side excitation due to the road roughness. In order to identify the frequency response function of vehicle driveline system, two power spectral density (PSD) functions of two random signals: the road roughness profile synthesized from the road roughness index equation and the stationary noise torque extracted from the original torque signal, are first estimated. System identification results show that the output torque signal can be affected by the dynamic characteristics of vehicle driveline systems, as well as the road roughness.

Dynamic Analysis of Mechanical Joint Parameters Using the Variation of Frequency Response Function (주파수응답함수의 변화를 이용한 기계적 결합부의 동특성 파라미터 해석)

  • 강성구;지태한;유원희;박영필
    • Journal of KSNVE
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    • v.4 no.2
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    • pp.155-161
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    • 1994
  • The dynamic behavior of a complex mechanical structure can be identified by dividing the structure into a series of smaller structure, called sub- structure and by studying the dynamic characteristics of these components. Generally, the dynamic characteristics of mechanical structure are strongly affected by the properties of joint parameters. In this paper, to identify the dynamic characteristics of mechanical structure, and experimental identification method in which directrly measured frequency response function(FRF) is used is considered. The method does not use the procedure of complex matrix calculation but use that of real matrix calculation. To confirm this method, computer simulation is performed by using frequency response function mixed with noise, and the experimental study is performed about the simple structure. The dynamic characteristics of joint parameters and identified more accurately than in using the prcedure of complex matrix calculation.

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Identification of the Structural Damages in a Cylindrical Shell (원통형 셸에 발생한 구조손상의 규명)

  • Kim, Sung-Hwan;Lee, U-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.12 s.243
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    • pp.1586-1596
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    • 2005
  • In this paper, a structural damage identification method (SDIM) is developed to identify the line crack-like directional damages generated within a cylindrical shell. First, the equations of motion for a damaged cylindrical shell are derived. Based on a theory of continuum damage mechanics, a small material volume containing a directional damage is represented by the effective orthotropic elastic stiffness, which is dependent of the size and the orientation of the damage with respect to the global coordinates. The present SDIM is then derived from the frequency response function (FRF) directly solved from the equations of motion of a damaged shell. In contrast with most existing SDIMs which require the modal parameters measured in both intact and damaged states, the present SDIM may require only the FRF-data measured at damaged state. By virtue of utilizing FRF-data, one may choose as many sets of excitation frequency and FRF measurement point as needed to acquire a sufficient number of equations for damage identification analysis. The numerically simulated damage identification tests are conducted to study the feasibility of the present SDIM.

An Enhancement of Multi-Dof Frequency Response Spectrum From Impact Hammer Testing (충격햄머 실험에서 다자유도 주파수 응답스팩트럼의 개선)

  • Ahn, Se-Jin;Jeong, Weui-Bong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.623-629
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    • 2002
  • The spectrum of impulse response signal from an impulse hammer testing is widely used to obtain frequency response function(FRF) of the structure. However the FRFs obtained from impact hammer testing have not only leakage errors but also finite record length errors when the record length for the signal processing is not sufficiently long. The errors cannot be removed with the conventional signal analyzer which treats the signals as if they are always steady and periodic. Since the response signals generated by the impact hammer are transient and have damping, they are undoubtedly non-periodic. It is inevitable that the signals be acquired for limited recording time, which causes the finite record length error and the leakage error. In this paper, the errors in the frequency response function of multi degree of freedom system are formulated theoretically. And the method to remove these errors is also suggested. This method is based on the optimization technique. A numerical example of 3-dof model shows the validity of the proposed method.

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A Study on the Improvement of FEM model in Plate Vibration by Modification of Young's Modulus and Shape (FEM 모델의 형상과 감쇠계수의 추정을 통한 평판진동해석의 개선에 대한 연구)

  • Park, Sok-Chu;Oh, Chang-Guen
    • Journal of Advanced Marine Engineering and Technology
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    • v.36 no.6
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    • pp.794-801
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    • 2012
  • Finite Element Method is a strong tool to analyse static and dynamic problem of a structure. FEM is a good method for static problem, but for dynamic problem there are some differences between real phenomena and analyzed phenomena. Therefore some modifications are needed to identify two results. In this paper authors propose a genetic algorithm method 1) to adjust dimensions of plate for identifying natural frequencies, 2) to fit amplitude of FEM Frequency Response Function(FRF) onto it of real FRF. Analysis by raw FEM data gave questions if the results were for the same object. By only adjusting Young's modulus much better accordances were obtained, but limitation existed still. Very good agreements were achieved by shape modification and damping coefficient identification.

Estimation of Strain at Elastic System Using Acceleration Response (가속도 데이터를 활용한 선형 시스템의 변형률 예측)

  • Kim, Chan-Jung;Lee, Bong-Hyun;Jeon, Hyun-Cheol;Jo, Hyeon-Ho;Kang, Yeon-June
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.1
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    • pp.9-14
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    • 2012
  • This paper investigates the prediction of the dynamic strain response using acceleration response only. Two methods are proposed for the strain prediction; one is based on beam theory and the other is calculated by the frequency response function between acceleration and strain. First, it is estimated the dynamics of the simple notched beam, including the non-linearity, through the uni-axial vibration testing. Then, the dynamic strain response is predicted under two different methods using acceleration response. The validation of proposed methods is conducted by the comparison between measured strain and predicted values. The comparison reveals that the proposed method based on the FRF between acceleration and strain is more reliable one than that stemmed from beam theory and the maximum relative error is less than 8 %.

Updating of a Finite Element Model with a Damping Effect Using Frequency Response Functions (주파수응답함수를 이용한 감쇠가 있는 유한요소모형의 개선)

  • Lee, Geon-Myeong;Lee, Hyeong-Seok;Lee, Han-Hui
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.5
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    • pp.872-880
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    • 2002
  • The finite element analysis is frequently used to predict dynamic responses of complex structures. Since the predicted responses often differ from experimentally measured ones, updating of the finite element models is performed to make the finite element results agree with the measured ones. Among several model updating methods, one is to use FRF(frequency response function) data without a modal analysis. This paper investigates characteristics of the model updating method in order to improve the method. The investigation is focused on how to obtain FRFs for unmeasured rotational displacements and how to consider damping. For the investigation simulated data and experimental data for a cantilever beam are used.

In-situ modal testing and parameter identification of active magnetic bearing system by magnetic force measurement and the use of directional frequency response functions (전자기력 측정과 방향성주파수 응답함수를 이용한 능동 자기베어링 시스템의 운전중 모드시험 및 매개변수 규명)

  • Ha, Young-Ho;Lee, Chong-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.7
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    • pp.1156-1165
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    • 1997
  • Complex modal testing is employed for the in-situ parameter identification of a four-axis active magnetic bearing system while the system is in operation. In the test, magnetic bearings are used as exciters as well as actuators for feedback control. The experimental results show that the directional frequency response function, which is properly defined in the complex domain, is a powerful tool for identification of bearing as well as modal parameters. It is also shown that the position and current stiffnesses can be accurately estimated using the relations between the measured forces, displacements, and currents.