• Title/Summary/Keyword: modal method

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Development of an Automatic Pipe-cutting Machine by Axiomatic Approach (공리적 접근을 통한 자동 가스절단기의 개발)

  • Sin, Chang-Ho;Jeong, Jin-Tae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.9
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    • pp.1866-1873
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    • 2002
  • The pipe-cutting machine developed in this study is a portable device used to cut a steel pipe. The machine, which is attached to the steel pipe by magnetic force, is moving around the pip e using four wheels. It also works for straight cutting of a steel plate. For the higher precision and labor time reduction, the automation of a pipe-cutting process is needed. However, it is not easily achieved because of vibrations and the loss of track. It is also found that the problems of the automation arise from the coupling of the functional requirements for the pipe-cutting machine. So, it is very difficult io solve the problems by a conventional design method. To overcome the difficulties the new design process for the pipe-cutting machine is established by axiomatic approach in this paper. Based on the Independence Axiom design process, a new product is designed and manufactured. Finally, it is verified by experiments that the performance of the automatic pipe-cutting machine is improved

Human Postural Response to Linear Perturbation (선형외란에 대응하는 인체의 자세응답 해석)

  • Kim, Se-Young;Park, Su-Kyung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.1
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    • pp.27-33
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    • 2009
  • Human postural responses appeared to have stereotyped modality, such as ankle mode, knee mode and hip mode in response to various perturbations. We examined whether human postural control gain of full-state feedback could be decoupled along with the eigenvector. To verify the model, postural responses subjected to fast backward perturbation were used. Upright posture was modeled as 3-segment inverted pendulum incorporated with feedback control, and joint torques were calculated using inverse dynamics. Postural modalities such as ankle, knee and hip mode were obtained from eigenvectors of biomechanical model. As oppose to the full-state feedback control, independent eigenvector control assumes that modal control input is determined by the linear combination of corresponding modality. We used optimization method to obtain and compare the feedback gains for both independent eigenvector control and full-state feedback control. As a result, we found that simulation result of eigenvector feedback was not competitive in comparison with that of full-state feedback control. This implies that the CNS would make use of full-state body information to generate compensative joint torques.

Equivalent Dynamic Modeling of Coil Bundle for Prediction of Dynamic Properties of Stator in Small Motors (소형 전동기의 고정자 동특성 예측을 위한 코일 다발의 등가 동적 모형화)

  • 은희광;고홍석;김광준
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.540-545
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    • 2001
  • In case of small motors, coil bundle occupies a large portion of stator in view of mass and volume as well as dynamics. It is observed through modal test on the stator of an IPM BLDC (interior permanent magnet brushless direct current) motor that coil bundle wound on the stator core causes the first and second natural frequencies to decrease by about 20-30% compared with those of bare stator. Especially the third natural frequency is newly observed below 3 KHz, which is not observed on the bare stator. It is found that at the third mode the end-coil and the core vibrate out of phase in radial direction. In this paper, the stator is dynamically modeled in terms of the core and the coil bundle consisting of the end-coil and the slot coil based on the above observations for the prediction of dynamic properties. The core can easily be modeled using finite element method with its actual material properties and geometric shape. The concept of equivalent bending stiffness is used for modeling of the end-coil so that predictions may match with the measured natural frequencies for the end-coil cut out of the stator. Although the same concept can be applied to the slot coil, separation of the slot coil from the stator is impractical. Therefore, equivalent bending stiffness of the slot coil is determined through iterative comparisons with the measurements of natural frequencies of the stator with the slot coil in it.

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Buckling and vibration behavior of a non-uniformly heated isotropic cylindrical panel

  • Bhagata, Vinod S.;Pitchaimani, Jeyaraj;Murigendrappa, S.M.
    • Structural Engineering and Mechanics
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    • v.57 no.3
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    • pp.543-567
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    • 2016
  • This study attempts to address the buckling and free vibration characteristics of an isotropic cylindrical panel subjected to non-uniform temperature rise using numerical approach. Finite element analysis has been used in the present study. The approach involves three parts, in the first part non-uniform temperature field is obtained using heat transfer analysis, in the second part, the stress field is computed under the thermal load using static condition and, the last part, the buckling and pre-stressed modal analysis are carried out to compute critical buckling temperature as well as natural frequencies and associated mode shapes. In the present study, the effect of non-uniform temperature field, heat sink temperatures and in-plane boundary constraints are considered. The relation between buckling temperature under uniform and non-uniform temperature fields has been established. Results revealed that decrease (Case (ii)) type temperature variation field influences the fundamental buckling mode shape significantly. Further, it is observed that natural frequencies under free vibration state, decreases as temperature increases. However, the reduction is significantly higher for the lowest natural frequency. It is also found that, with an increase in temperature, nodal and anti-nodal positions of free vibration mode shapes is shifting towards the location where the intensity of the heat source is high and structural stiffness is low.

Crack identification with parametric optimization of entropy & wavelet transformation

  • Wimarshana, Buddhi;Wu, Nan;Wu, Christine
    • Structural Monitoring and Maintenance
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    • v.4 no.1
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    • pp.33-52
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    • 2017
  • A cantilever beam with a breathing crack is studied to improve the breathing crack identification sensitivity by the parametric optimization of sample entropy and wavelet transformation. Crack breathing is a special bi-linear phenomenon experienced by fatigue cracks which are under dynamic loadings. Entropy is a measure, which can quantify the complexity or irregularity in system dynamics, and hence employed to quantify the bi-linearity/irregularity of the vibration response, which is induced by the breathing phenomenon of a fatigue crack. To improve the sensitivity of entropy measurement for crack identification, wavelet transformation is merged with entropy. The crack identification is studied under different sinusoidal excitation frequencies of the cantilever beam. It is found that, for the excitation frequencies close to the first modal frequency of the beam structure, the method is capable of detecting only 22% of the crack depth percentage ratio with respect to the thickness of the beam. Using parametric optimization of sample entropy and wavelet transformation, this crack identification sensitivity is improved up to 8%. The experimental studies are carried out, and experimental results successfully validate the numerical parametric optimization process.

Investigation on Vibration Characteristics of Micro Speaker Diaphragms for Various Shape Designs (마이크로 스피커 진동판의 형상설계에 따른 진동특성 고찰)

  • Kim, Kyeong Min;Kim, Seong Keol;Park, Keun
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.8
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    • pp.790-796
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    • 2013
  • Micro-speaker diaphragms play an important role in generating a desired audio response. The diaphragm is generally a circular membrane, and the cross section is a double dome, with an inner dome and an outer dome. To improve the sound quality of the speaker, a number of corrugations may be included in the outer dome region. In this study, the role of these corrugations is investigated using two kinds of finite element method (FEM) calculations. Structural FEM modeling was carried out to investigate the change in stiffness of the diaphragm when the corrugations were included. Modal FEM modeling was then carried out to compare the natural frequencies and the resulting vibrational modes of the plain and corrugated diaphragms. The effects of the corrugations on the vibration characteristics of the diaphragm are discussed.

Transient Response Analysis for a Smart UAV Considering Dynamic Loads by Rotating Rotor and Wakes (회전로터 및 후류 동하중을 고려한 스마트 무인기 천이응답해석)

  • Kim, Hyun-Jung;Oh, Se-Won;Kim, Sung-Jun;Choi, Ik-Hyeon;Kim, Tae-Wook;Lee, Sang-Uk;Kim, Jin-Won;Lee, Jung-Jin;Kim, Dong-Hyun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.9 s.114
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    • pp.926-936
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    • 2006
  • In this study, structural vibration analyses of a smart unmanned aerial vehicle (UAV) have been conducted considering dynamic loads generated by rotating rotor and wakes. The present UAV (TR-S5-03) finite element model is constructed as a full three-dimensional configuration with different fuel conditions and tilting angles for helicopter, transition and airplane flight modes. Practical computational procedure for modal transient response analysis (MTRA) is established using general purpose finite element method (FEM) and computational fluid dynamics (CFD) technique. The dynamic loads generated by rotating blades in the transient and forward flight conditions are calculated by unsteady CFD technique with sliding mesh concept. As the results of present study, transient structural displacements and accelerations are presented in detail. In addition, vibration characteristics of structural parts and installed equipments are investigated for different fuel conditions and tilting angles.

Influence of Serial Moving Masses on Dynamic Behavior of Simply Supported Beam with Crack (크랙을 가진 단순지지 보의 동특성에 미치는 이동질량의 영향)

  • 윤한익;김영수;손인수
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.7
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    • pp.555-561
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    • 2003
  • An iterative modal analysis approach is developed to determine the effect of transverse open cracks on the dynamic behavior of simply supported Euler-Bernoulli beams with the moving masses. The influences of the velocities of moving masses, the distance between the moving masses and a crack have been studied on the dynamic behavior of a simply supported beam system by numerical method. The Presence of crack results In large deflection of beam. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments i.e. the crack is modelled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces across the crack section and is derived by applying fundamental fracture mechanics theory. Totally, as the velocity of the moving masses and the distance between the moving masses are increased, the mid-span deflection of simply supported beam with the crack is decreased.

Dynamic Behavior of Simply Supported Fluid Flow Pipe with Crack (크랙을 가진 유체유동 단순지지 파이프의 동특성 해석)

  • 윤한익;최창수;손인수
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.7
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    • pp.562-569
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    • 2003
  • An iterative modal analysis approach is developed to determine the effect of transverse open cracks on the dynamic behavior of simply supported pipe conveying fluid subject to the moving mass. The equation of motion Is derived by using Lagrange’s equation. The influences of the velocity of moving mass and the velocity of fluid flow and a crack have been studied on the dynamic behavior of a simply supported pipe system by numerical method. The presence of crack results In higher deflections of pipe. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments i.e. the crack is modelled as a rotational spring. Totally. as the velocity of fluid flow and the crack severity are increased, the mid-span deflection of simply supported pipe conveying fluid Is Increased. The time which produce the maximum dynamic deflection of the simply supported pipe Is delayed according to the increment of the crack severity.

Estimation of Sound Pressure from Vibration Signals on a Flat Plate and Experiment (진동 신호를 이용한 평판의 음압 분포 예측)

  • Kim, Kwan-Ju;Choi, Sung-Kwon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.340-345
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    • 2000
  • 진동하는 구조물의 음향 방사 예측에는 키르히호프-헬름홀쯔 적분 방정식에 근본을 둔 경계 요소 해석이 널리 사용된다. 이 경계 요소 해석은 익히 알고 있듯이 구조물의 동적 거동이 정량적으로 표현될 수 있는 경우는 매우 높은 정확도의 예측 결과를 제공한다. 그러나 실제 현상에서 접할 수 있는 복잡한 구조물의 음향 방사 예측에는 많은 변수들로 인해 예측의 정확도가 감소됨은 확실하다. 다른 방법으로는 실험을 통한 임의의 음장 예측 방법인 근음장 음향 홀로그래피(nearfield acoustical holography) 방법을 들 수 있다. 이 방법은 실제로 발생되는 음향 방사로부터 마이크로폰을 이용하여 홀로그램면의 음압 또는 속도를 측정하고 키르히호프-헬름홀쯔 적분 방정식에 적용하여 임의의 홀로그램면에 투사(mapping)시켜 음장을 예측하는 방법이다. 근음장 음향 홀로그래피는 탁월한 정확성을 갖고 있으나, 측정의 복잡성과 홀로그램면을 형성하기 위한 많은 이산점(절점)의 필요성 등의 단점을 갖고 있다. 본 논문에서는 또 다른 음장 예측 방법인 실험의 장점과 유한 요소 해석의 장정을 복합시킨 모드 확장 방법(modal expansion method)을 사용하여 단순 구조물인 평판의 진동에 의한 음장을 예측해 보았다. 모드 확장 방법은 구조물의 동적 거동은 모드의 선형 조합으로 표현될 수 있다는 것에 그 원리를 둔다. 본 논문은 단순 평판을 대상으로 유한 요소 해석으로 구한 모드 정보와 실험에 의해 얻은 입의 가진 주파수에 대한 진동 표면의 속도 분포를 조합하여 속도 경계 조건을 구성, 경계 요소 해석으로 음장 예측을 수행하였으며 모드 확장 방법을 사용함에 있어 고려해야할 몇 가지 사항에 대해 다루었다.

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