• 제목/요약/키워드: flexural vibration

검색결과 310건 처리시간 0.028초

Differential transform method for free vibration analysis of a moving beam

  • Yesilce, Yusuf
    • Structural Engineering and Mechanics
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    • 제35권5호
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    • pp.645-658
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    • 2010
  • In this study, the Differential Transform Method (DTM) is employed in order to solve the governing differential equation of a moving Bernoulli-Euler beam with axial force effect and investigate its free flexural vibration characteristics. The free vibration analysis of a moving Bernoulli-Euler beam using DTM has not been investigated by any of the studies in open literature so far. At first, the terms are found directly from the analytical solution of the differential equation that describes the deformations of the cross-section according to Bernoulli-Euler beam theory. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the differential equation of the motion. The calculated natural frequencies of the moving beams with various combinations of boundary conditions using DTM are tabulated in several tables and are compared with the results of the analytical solution where a very good agreement is observed.

회전속도 측정기능을 갖춘 비접촉 축 진동센서의 가능성 검증 (Feasibility Verification of a Non-Contact Vibration Sensor for Rotating Shafts Endowed with Rotational-Encoder Capability)

  • 이호철;김명호;박중양
    • 대한기계학회논문집A
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    • 제30권12호
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    • pp.1596-1602
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    • 2006
  • In this paper, a hybrid sensor is proposed that has two capabilities: the first is to sense longitudinal or flexural transient vibration signals selectively which are transmitted along the target shaft, and the second to measure the rotating speed of the shaft. All measurements are made in a non-contact manner since this sensor uses magnetostriction as its measuring principle. The signal selection between two vibration modes requires only electrical switching operations and the switching between these two sensing capabilities-vibrations and rotational speed-are accomplished by a very simple mechanical operation. To verify the capabilities of the proposed sensor, a prototype sensor is fabricated and the experiments are made. The results show this sensor can embody two sensing capabilities in one sensor configuration.

파워흐름해석 프로그램을 이용한 2300 TEU 컨테이너선의 중고주파 대역 진동해석 (Vibration analysis of 2300 TEU container ship using power flow analysis program in medium-to-high frequency ranges)

  • 서성훈;박영호;홍석윤;길현권
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 II
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    • pp.1061-1066
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    • 2001
  • To predict vibrational energy density and intensity of beam-plate coupled complex structures in medium-to-high frequency ranges, Power Flow Finite Element Method(PFFEM) programs for plate, beam and some coupled structural elements are developed. The flexural, longitudinal and shear waves in plates are formulated and the joint element equations for multi-couped plates are fully developed. Also the wave transmission approach has been introduced to cover the energy transmission and reflection at the joint elements. Using the developed PFFEM program, vibration analysis for 2300TEU container ship model is performed and here the model data for this program are obtained by converting fonner FE model for structural analysis. This program predicts successfully the vibrational energy density and intensity upto 8,000 Hz for the ship model with over 50,000 DOF.

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초음파 펄스 분석을 통한 SBR계 폴리머 혼입 모르타르의 폴리머 혼입률에 따른 진 동감쇠비 성능 평가 (Vibration Damping Ratio Performance Evaluation According to the Polymer Mixing Rate of SBR-based Polymer Modified Mortar through Ultrasonic Pulse Analysis)

  • 정민구;장종민;이한승
    • 한국건축시공학회지
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    • 제22권6호
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    • pp.543-551
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    • 2022
  • 폴리머 혼입 모르타르를 대상으로 폴리머 혼입률에 따른 실험체의 역학적 성능 및 진동감쇠비 성능 평가를 실시하였다. 폴리머로서는 Styrene Butadiene Rubber(SBR) 고형분이 약 49~51%인 액상형 폴리머를 사용하였으며, 5%씩 액상 폴리머 함량을 증가시켰으며, 고형분 기준으로 약 2.5%씩 증가하였다. 실험체는 40×40×160(mm)로써 경화 후에 압축강도, 휨강도, 초음파펄스법을 통해 진동감쇠비를 측정하였다. 그 결과, 폴리머 혼입률이 증가함에 따라 압축강도는 감소하나 휨강도는 증가하였으며, 진동감쇠비는 폴리머 고형분 2.5% 첨가에서 11% 증가, 폴리머 고형분 5%에서 28% 증가, 폴리머 고형분 7.5%에서 33% 증가, 폴리머 고형분 10%에서 72%로 급격히 증가하여 모르타르의 진동 저감을 위하여 폴리머의 혼입이 매우 유효함을 알 수 있었다. 또한, SEM 및 SEM-EDS 분석을 통하여, 폴리머 혼입에 의한 진동 저감의 원인은 골재의 천이대 및 내부 공극에 형성된 폴리머 막이 모르타르의 진동을 내부에서 완충시킨 것으로 판단된다. 이를 종합하면, 본 연구의 범위에서 모르타르의 진동 저감을 위한 적정 폴리머 혼입 비율은 고형분 기준 약 7.5% 정도로 판단된다.

VALVELSS 압전펌프 진동 해석 및 특성 (Vibration analysis of characteristics and valveless Type Piezoelectric micro-pump)

  • 임종남;오진헌;임기조;김현후
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2009년도 하계학술대회 논문집
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    • pp.185-185
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    • 2009
  • Micropump is very useful component in micro/nano fluidics and bioMEMS applications. Using the flexural vibration mode of PZT bar, a piezopump is successfully made. The PZT bar is polarized with thickness direction. The proposed structure for the piezo-pump consists of an input and an output port, piezoelectric ceramic actuator, actuator support, diaphragm. The traveling flexural wave along the bar is obtained by dividing two standing waves which are temporally and spatially phase shifted by 90 degrees from each other. Fluid is drawn into a forming chamber, eventually the forming chamber closes trapping the fluid therein. The finite elements analysis on the proposed pump model is carried out to verify its operation principle and design by the commercial FEM software. Components of piezopump were made, assembled, and tested to validate the concepts of the proposed pump and confirm the simulation results. The performance of the proposed piezopump the highest pressure level of 83.4kHz.

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주기적(週基的)인 압축하중을 받는 원통(円筒) Panel의 동적(動的) 불안정(不安定) 특성(特性)에 관한 연구 (Parametric Instability of Cylinderical Panels)

  • 박승진;미카미 타카시
    • 한국강구조학회 논문집
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    • 제12권6호
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    • pp.737-748
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    • 2000
  • 본 논문은 직선변이 단순지지, 원호변이 단순 또는 고정인 경계조건의 원통 Panel을 해석하였다. 해석방법은 Galerkin법을 사용하였고, 기초방정식은 Love-Timoshenko의 기초식을 이용한 진동 좌굴 및 동적문제에 관한 특성을 명확히 하였다. 특히, 고정지지를 포함한 Panel에 대해서는 시행함수로서 삼각함수만으로 나타나는 경우와 쌍곡선함수로 나타나는 보의 고유함수를 이용하여 해석하였으며 시행함수에 미치는 영향을 검토하였다.

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진동 인텐시티 계측 방법을 이용한 무한보의 손상감지에 관한 기초 연구 (A Feasibility Study on the Damage Detection of Infinite Beams Using the Structural Intensity Measurement Technique)

  • 허영철;이종원;김재관;길현권
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2008년도 춘계학술대회논문집
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    • pp.54-58
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    • 2008
  • The structural intensities have been applied to understand a source point and the path of vibrational energy flows in interested structures by many researchers. In this paper, a feasibility study was carried out to investigate the characteristics of a damaged beam with a inflicted open crack using the structural intensities. The damaged beam was taken as a continuous system with equivalent bending stiffness and the flexural vibrations were only considered in numerical simulation and experiments. A four(4)-transducer array was used to measure the flexural vibrations of the beam and the structural intensities were estimated by means of cross spectral density method. As a result, the magnitude changes of the structural intensities could be observed in the vicinity of the damage location and a damage index was newly proposed to identify the damage zone. It has been confirmed that the measurement of the structural intensities was simple and effective method to find out the damage zone.

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역해석기법을 이용한 현수교 행어케이블 장력 추정 (Back Analysis for Estimating Tension Force on Hanger Cables)

  • 김남식;빈정민;장성진
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.894-901
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    • 2006
  • In general, the tension fores of hanger cable in suspension bridges play an important role in evaluating the bridge state. The vibration method, as a conventional one, has been widely applied to estimate the tension fores by using the measured frequencies on hanger cables. However, the vibration method is not applicable to short hanger cables because the frequency of short cables is severely sensitive to the flexural rigidity. Thus, in this study, the tension forces of short hanger cables, of which the length is shorter than 10meters, were estimated through back analysis of the cable frequencies measured from Gwang-An suspension bridge in Korea. Direct approach to rock analysis is adopted using the univariate method among the direct search methods as an optimization technique. The univariate method is able to search the optimal tension forces without regard to the initial ones and has a rapid convergence rate. To verify the feasibility of back analysis, the results from back analysis and vibration method are compared with the design tension forces. From the comparison, it can be inferred that back analysis results are more reasonable agreement with the design tension forces of short hanger cable. Therefore, it is concluded that back analysis applied in this study is an appropriate tool for estimating tension forces of short hanger cables.

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Wave propagation and vibration of FG pipes conveying hot fluid

  • Zhang, Yi-Wen;She, Gui-Lin
    • Steel and Composite Structures
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    • 제42권3호
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    • pp.397-405
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    • 2022
  • The existing researches on the dynamics of the fluid-conveying pipes only focus on stability and vibration problems, and there is no literature report on the wave propagation of the fluid-conveying pipes. Therefore, the purpose of this paper is to explore the propagation characteristics of longitudinal and flexural waves in the fluid-conveying pipes. First, it is assumed that the material properties of the fluid-conveying pipes vary based on a power function of the thickness. In addition, it is assumed that the material properties of both the fluid and the pipes are closely depended on temperature. Using the Euler-Bernoulli beam equation and based on the linear theory, the motion equations considering the thermal-mechanical-fluid coupling is derived. Then, the exact expressions of phase velocity and group velocity of longitudinal waves and bending waves in the fluid-conveying pipes are obtained by using the eigenvalue method. In addition, we also studied the free vibration frequency characteristics of the fluid-conveying pipes. In the numerical analysis, we successively studied the influence of temperature, functional gradient index and liquid velocity on the wave propagation and vibration problems. It is found that the temperature and functional gradient exponent decrease the phase and group velocities, on the contrary, the liquid flow velocity increases the phase and group velocities. However, for vibration problems, temperature, functional gradient exponent parameter, and fluid velocity all reduce the natural frequency.

Along and across-wind vibration control of shear wall-frame buildings with flexible base by using passive dynamic absorbers

  • Ivan F. Huergo;Hugo Hernandez-Barrios;Roberto Gomez-Martinez
    • Wind and Structures
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    • 제38권1호
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    • pp.15-42
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    • 2024
  • A flexible-base coupled-two-beam (CTB) discrete model with equivalent tuned mass dampers is used to assess the effect of soil-structure interaction (SSI) and different types of lateral resisting systems on the design of passive dynamic absorbers (PDAs) under the action of along-wind and across-wind loads due to vortex shedding. A total of five different PDAs are considered in this study: (1) tuned mass damper (TMD), (2) circular tuned sloshing damper (C-TSD), (3) rectangular tuned sloshing damper (R-TSD), (4) two-way liquid damper (TWLD) and (5) pendulum tuned mass damper (PTMD). By modifying the non-dimensional lateral stiffness ratio, the CTB model can consider lateral deformations varying from those of a flexural cantilever beam to those of a shear cantilever beam. The Monte Carlo simulation method was used to generate along-wind and across-wind loads correlated along the height of a real shear wall-frame building, which has similar fundamental periods of vibration and different modes of lateral deformation in the xz and yz planes, respectively. Ambient vibration tests were conducted on the building to identify its real lateral behavior and thus choose the most suitable parameters for the CTB model. Both alongwind and across-wind responses of the 144-meter-tall building were computed considering four soil types (hard rock, dense soil, stiff soil and soft soil) and a single PDA on its top, that is, 96 time-history analyses were carried out to assess the effect of SSI and lateral resisting system on the PDAs design. Based on the parametric analyses, the response significantly increases as the soil flexibility increases for both type of lateral wind loads, particularly for flexural-type deformations. The results show a great effectiveness of PDAs in controlling across-wind peak displacements and both along-wind and across-wind RMS accelerations, on the contrary, PDAs were ineffective in controlling along-wind peak displacements on all soil types and different kind of lateral deformation. Generally speaking, the maximum possible value of the PDA mass efficiency index increases as the soil flexibility increases, on the contrary, it decreases as the non-dimensional lateral stiffness ratio of the building increases; therefore, there is a significant increase of the vibration control effectiveness of PDAs for lateral flexural-type deformations on soft soils.