• Title/Summary/Keyword: 진동수비

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On the Computer Simulation for the Third Integral and an Application of the Poincare Map in Hamiltonian System (Hamiltonian 비선형계의 기하학적 연구와 제3의 운동상수 응용)

  • 박철희;문용찬
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.1
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    • pp.170-180
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    • 1986
  • 본 연구에서는 2자유도 Hamiltonian 운동계에서 비선형 정규모우드(normal mode)들의 안정성을 예측하기 위한 제3의 운동상수를 선형계의 진동수비가 1:1이고 포텐셜이 4차항까지 우함수인 일반계에 적용하여 발전시켰다. 이는 Hamiltonian을 정규모우드로 바꾸는 B-G변환과 함수들을 부호처리함과 Poincare map을 이용하다. 비선형계에서 비선형상수에 따라 모우드가 bifurcate되며, 각각의 모우드 안정성은 제3의 운동상수와 Poincare map으로 정확히 판정할 수 있다는 결론을 얻었다.

A Study on Natural Vibration Characteristics of Dome Structure According to Natural Frequency Ratio of Substructure (하부 구조의 고유 진동수비에 따른 돔 구조의 고유 진동 특성에 관한 연구)

  • Park, Kwang-Seob;Kim, Yun-Tae
    • Journal of Korean Association for Spatial Structures
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    • v.18 no.3
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    • pp.75-82
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    • 2018
  • Large space structures exhibit different natural vibration characteristics depending on the aspect ratio of structures such as half-open angle. In addition, since the actual large space structure is mostly supported by the lower structure, it is expected that the natural vibration characteristics of the upper structure and the entire structure will vary depending on the lower structure. Therefore, in this study, the natural vibration characteristics of the dome structure are analyzed according to the natural frequency ratio by controlling the stiffness of the substructure. As the natural frequency of the substructure increases, the natural frequency of the whole structure increases similarly to the natural frequency of the upper structure. Vertical vibration modes dominate at $30^{\circ}$ and $45^{\circ}$, and horizontal vibration modes dominate at $60^{\circ}$ and $90^{\circ}$.

A study on the dynamic vibration absorber having non-linear spring and linear damper (非線型 스프링과 線型감쇠를 가지는 動吸振器에 관한 硏究)

  • 김광식;안찬우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.3
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    • pp.473-478
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    • 1987
  • In this paper the optimum values of natural frequency ratio and damping ratio for damped systems were studied by numerical analysis. The relation between the amplitude ratio and frequency ratio obtained for the non-linear dynamic vibration absorber was found and it was compared with that of linear system. The results shows that the optimum frequency ratio decreases and the optimum damping ratio increases when the mass ratio of the damped system increases. The resonance frequency ratio and amplitude ratio decrease as mass ratio increases for the non-linear spring system.

The Influence of Interphase Condition and Fiber Content on the Dynamic Properties of Short-fiber Reinforced Rubber (계면상 조건과 단섬유 함유량이 강화고무의 동적 특성에 미치는 영향)

  • 류상렬;이동주
    • Composites Research
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    • v.13 no.3
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    • pp.30-37
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    • 2000
  • The dynamic properties of short-fiber reinforced Chloroprene rubber have been studied as functions of interphase conditions and fiber content. The loss factor generally decreased with fiber content and showed different patterns according to interphase conditions. The better interphase condition showed the lower loss modulus, $E_2$. Also, the dynamic ratio decreased with fiber content and rapidly decreased in the case of double coatings, i.e., model C. Therefore, the short-fiber reinforced rubber could have the better isolation in frequency ratio($\sqrt{2}$ min.) compared to frequency ratio($\sqrt{2}$ max.). And we have investigate the possibility of applying short-fiber reinforced rubber to automotive engine mount.

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Dynamic Stability and Leakage Characteristics of Turbo Pump Unit Installed with High-Pressure Seals (고압 실이 장착되어 있는 터보 펌프의 동적 안정성 및 누설 특성에 관한 연구)

  • 이용복;곽현덕;김창호;하태웅
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.8
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    • pp.322-330
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    • 2001
  • The stability and the leakage performance of turbo pump unit seals supported by elastic-ring ball bearings are Investigated for the Improvement of onset speed of instability(OSI). The numerical analysis of floating ring seal in consistence with its geometry and operating conditions is executed with detailed comparison of various seal types. The results show that the floating ring seal has superior performance in terms of rotordynamic salability compared to the ocher type seals while it shows slightly inferior leakage performance. To Improve the leakage performance. floating ring seal could be combined with hole Pattern damper or labyrinth seal surface.

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

    • Journal of the Earthquake Engineering Society of Korea
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    • v.3 no.1
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    • pp.103-112
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    • 1999
  • This is study to estimate the pump induced vibration in time and frequency domain by frequency response function between two points in case of 20Hp and 50Hp centrifugal pumps. The frequency response function has real and imaginary information of signals, and response function has also real and imaginary information. So the vibration force can be obtained from the response function and frequency response function by complex calculation. And it is compared with the theoretically estimated values and it is suggested that the amplitude of vibration with main frequency is about 10~25% of pump and motor weight, and the magnitude of unbalanced mass is about 30~60% of pump and motor weight to estimated vibration force in time domain. There are the other kinds of vibration components with different frequency values of 2~3 times of its main frequency, and these kinds of information are used to control the tuning ratio between operating frequency of pump and structural frequency of concrete slab.

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Development of Variable Voltage Sensing for Identification of Dynamic Characteristics of TLCDs (동조액체기둥감쇠기의 동적특성을 파악하기 위한 가변전압측정 시스템 개발)

  • Jang, Seok-Jung;Kim, Jun-Hee;Min, Kyung-Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.3
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    • pp.275-281
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    • 2015
  • In this study, vertical motion of a Tuned Liquid Column Damper(TLCD) is measured by a variable voltage measurement system in the electric field and design parameters of the TLCD are determined. First, nonlinear damping term of the TLCD is replaced as the equivalent viscous damping term. The natural frequency and damping ratio of dynamic characteristics of the TLCD are verified. In addition, a novel liquid level measurement system is developed for measuring vertical motion of the TLCD. For the experimental achievement, experimental characterizations of natural frequency and damping ratio of the TLCD are undertaken utilizing the developed variable voltage sensing. Also, shake table testing is performed to determine the dynamic characteristics of the TLCD. As a result, the feasibility of the proposed liquid level measurement system is verified by comparison with the capacitive type wavemeter.

Development of Slender Aerodynamic Girder for Suspension Bridges (현수교 세장 내풍 단면의 개발)

  • Kwon, Soon-Duck;Lee, Myeong-Jae;Cho, Eukyung;Lee, Seung-Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.3A
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    • pp.241-256
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    • 2010
  • This study intends to develop an aerodynamic girder for suspension bridge with width corresponding to 1/70 of the main span length. In the first step of present study, parametric study for the effects of major structural properties on aerodynamic stability of bridges was performed. The span length and natural frequency of bridges were found to be free from girder width, girder height, and aspect ratio of width to height. The empirical equation according to confidence interval was proposed to estimate the natural frequencies of bridges from span length. From the sensitivity analysis, it was revealed that the torsional frequency was dominant parameter among various structural properties that affected flutter velocity mostly. The final aerodynamic bridge section which satisfied the flutter criteria was found from section wind tunnel tests for 30 cross sectional models. The aerodynamic stability of the developed cross section was verified by multimode flutter analysis. The present economical cross section can be used for long span suspension bridge.

Nonlinear Characteristics Evaluation of Tuned Liquid Damper with White Noise Amplitude (백색잡음 하중 크기에 따른 TLD의 비선형 특성 평가)

  • Woo, Sung-Sik;Lee, Sang-Hyun;Choi, Ki-Young;Chung, Lan;Park, Tae-Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.2
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    • pp.135-143
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    • 2008
  • In this study, it was investigated for dynamic nonlinear characteristics using dynamic data obtained by shaking table test. The design of Tuned Liquid Damper(TLD) has limitation to plan based on Tuned Mass Damper(TMD) analogy and linear wave theory. Also, while there are many studies regarding properties of TLD under harmonic load, there are not estimated for dynamic non-linear characteristics of TLD under the load that is not governed by particular frequency like a white noise. This paper investigated dynamic non-linear characteristics of TLD varied with load amplitude using a white noise and suggested equations that can estimate damping ratio, natural frequency ratio and effective mass ratio of TLD.

Resonance Characteristics of a Arch Bridge for High-Speed Railways (고속철도 아치교량의 공진특성)

  • Nam, Deok Woo;Choi, Hong Kil;Kim, Kyoung Nam;Jung, Kyoung Sup
    • Journal of Korean Society of Steel Construction
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    • v.20 no.4
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    • pp.455-467
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    • 2008
  • The dynamic vehicle running tests were performed to analyze dynamic behavioral characteristics such as displacement, strain history loop and vibration acceleration in arch bridges. Also, the validity of the modeling was verified by comparing the results of the tests and those of the structural analysis modeling. With the resonance revision of verified modeling, when the ratio of excited frequencies to natural frequencies exceeds ${1{\pm}0.04}$, the stability of the bridge is obtained. Also, in the event of resonance by speed parameter, the second mode shape is dominant to the dynamic behaviors of arch bridges. It is found that manipulating the parameters involving arch ribs can increase the second mode natural frequency. It makes critical velocity greater than operational velocities to guarantee the stability of arch bridges.