• Title/Summary/Keyword: free and forced vibration

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Harmonic Response Estimation Method on the Lévy Plate with Two Opposite Edges Having Free Boundary Conditions (마주보는 양단이 자유 경계조건을 갖는 Lévy 판의 조화 응답 해석)

  • Park, Nam-Gyu;Suh, Jung-Min;Jeon, Kyeong-Lak
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.11
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    • pp.943-950
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    • 2013
  • This paper discusses a harmonic response estimation method on the L$\acute{e}$vy plate with two opposite edges simply supported and the other two edges having free boundary conditions. Since the equation of motion of the plate is not self-adjoint, the modes are not orthogonal to each other on the domain. Noting that the L$\acute{e}$vy plate can be expressed using one term sinusoidal function that is orthogonal to other sinusoidal functions, this paper suggested the calculation method that is equivalent to finding a least square error minimization solution of the finite number of algebraic equations. Example problems subjected to a distributed area loading and a distributed line loading are defined and their solutions are provided. The solutions are compared to those of the commercial code, ANSYS. According to the verification results, it is expected that the suggested method will be useful to predict the forced response on the L$\acute{e}$vy plate with the distributed area or line loading conditions.

Numerical and experimental investigation of control performance of active mass damper system to high-rise building in use

  • Park, S.J.;Lee, J.;Jung, H.J.;Jang, D.D.;Kim, S.D.
    • Wind and Structures
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    • v.12 no.4
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    • pp.313-332
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    • 2009
  • This paper numerically and experimentally investigates the control performance of the active mass damper (AMD) systems in a 26-story high-rise building in use. This is the first full-scale application of the AMD system for suppressing the wind-induced vibration of a building structure in Korea. In addition, the AMD system was installed on top of the building already in use, which may be the world's first implementation case. In order to simultaneously mitigate the transverse-torsional coupled vibration of the building, two AMD systems were applied. Moreover, the H-infinity control algorithm has been developed to utilize the maximum capacity of the AMD system. From the results of numerical simulation using the wind load obtained from the wind tunnel tests, it was found that the maximum acceleration responses of the building were reduced significantly. Moreover, the control performance of the installed AMD system was examined by carrying out the free and forced vibration tests. The acceleration responses on top of the building in the controlled case measured under strong wind loads were compared with those in the uncontrolled case numerically simulated by using the wind load deduced from the measured data and a structural model of the building. It is demonstrated that the AMD system shows good control performance in reducing the building accelerations.

Active neuro-adaptive vibration suppression of a smart beam

  • Akin, Onur;Sahin, Melin
    • Smart Structures and Systems
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    • v.20 no.6
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    • pp.657-668
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    • 2017
  • In this research, an active vibration suppression of a smart beam having piezoelectric sensor and actuators is investigated by designing separate controllers comprising a linear quadratic regulator and a neural network. Firstly, design of a smart beam which consists of a cantilever aluminum beam with surface bonded piezoelectric patches and a designed mechanism having a micro servomotor with a mass attached arm for obtaining variations in the frequency response function are presented. Secondly, the frequency response functions of the smart beam are investigated experimentally by using different piezoelectric patch combinations and the analytical models of the smart beam around its first resonance frequency region for various servomotor arm angle configurations are obtained. Then, a linear quadratic regulator controller is designed and used to simulate the suppression of free and forced vibrations which are performed both in time and frequency domain. In parallel to simulations, experiments are conducted to observe the closed loop behavior of the smart beam and the results are compared as well. Finally, active vibration suppression of the smart beam is investigated by using a linear controller with a neural network based adaptive element which is designed for the purpose of overcoming the undesired consequences due to variations in the real system.

Electromechanical coupled nonlinear dynamics of euler beam rails for electromagnetic railgun

  • Xu, Lizhong;Wu, Dewen
    • Smart Structures and Systems
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    • v.19 no.2
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    • pp.213-224
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    • 2017
  • The electromagnetic field can cause an essential change of the dynamic behavior of the railgun. The evaluation of the dynamics performance of railgun is a mandatory task. Here, a nonlinear electromagnetic force equation of the railgun is given in which the clearance, the thickness and the width of the rail are considered. Based on it, the nonlinear electromechanical coupled dynamics equations of Euler beam rails for the railgun are proposed. Using the equations, the nonlinear free vibration frequency of the railgun is investigated and the effects of the system parameters on the frequency are analyzed. The nonlinear forced responses of the rail to the electromagnetic excitation are investigated as well. The results show that as the nonlinearity of the railgun system is considered, the vibration frequencies of the railgun system increase; as the current in the rail increases, the difference between the natural frequencies and the nonlinear vibration frequencies increases significantly; the nonlinearity of the railgun system is more obvious for smaller distance between the two rails, smaller rail thickness, and smaller stiffness of the elastic foundation; the unstable dynamics state of the rail system occurs when the armature runs to the exit of the railgun. The results are useful for design and application of the railgun system.

Efficiency of TLDs with bottom-mounted baffles in suppression of structural responses when subjected to harmonic excitations

  • Shad, Hossein;Adnan, Azlan;Behbahani, Hamid Pesaran;Vafaei, Mohammadreza
    • Structural Engineering and Mechanics
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    • v.60 no.1
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    • pp.131-148
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    • 2016
  • Tuned Liquid Dampers (TLDs) provide low damping when it comes to deep water condition, and that not all water depth is mobilized in energy dissipation. This research focussed on a method to improve the efficiency of TLDs with deep water condition. Several bottom-mounted baffles were installed inside a TLD and the dynamic characteristics of modified TLDs together with their effect on the vibration control of a SDOF structure were studied experimentally. A series of free vibration and harmonic forced vibration tests were carried out. The controlling parameter in the conducted tests was the Vertical Blocking Ratio (VBR) of baffles. Results indicated that increase in VBR decreases the natural frequency of TLD and increases its damping ratio. It was found that the VBR range of 10% to 30% reduced response of the structure significantly. The modified TLD with the VBR of 30% showed the best performance when reduction in structural responses under harmonic excitations were compared.

Experimental investigation on self-excited vibration of a rotor filled with two kinds of liquids (두 액체로 충전된 회전체의 자려진동에 관한 실험적 연구)

  • 양보석;유영훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.3
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    • pp.373-384
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    • 1989
  • The motions of a spinning rotor and a fluid enclosed in its cavity are known to have mutual interactions, which change the frequencies of forced vibrations and cause instabilities. These phenomena are of technical importance for fluid-cooled turbines as well as spin-stabilized satellites or rockets containing liquid fuels. In this paper the characteristics of unstable whirling of a rotor containing a partitioned cavity filled with two kinds of liquids are investigated experimentally. It studies the influence of rotational speed and filling ratio of two kinds of liquids on unstable whiring. As a result, it is found that the whirl velocity is approximately equal to, or slightly lower for large masses of trapped fluid than rotor critical speed. In case of a spinning rotor partially filled with two kinds of liquids the boundary surface plays a similar role to the free surface, and cases unstable forward whirl.

Vibration Sensing and Impact Location Measurement Using Intensity-Based Optical Fiber Vibration Sensor (광강도형 광섬유 진동센서를 이용한 진동감지 및 충격위치 측정)

  • 양유창;황운봉;박현철;한경섭
    • Composites Research
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    • v.13 no.5
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    • pp.1-9
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    • 2000
  • An intensity-based optical fiber vibration sensor is applied to monitor the structural vibration and detect impact locations on a plate. Optical fiber vibration sensor is constructed by placing two cleaved fiber end, one of which is cantilevered in a hollow glass tube. The movement of the cantilevered section lags behind the rest of the sensor in response to an applied vibration and the amount of light coupled between the two fibers is thereby modulated. For vibration sensing, optical fiber vibration sensor is mounted on the carbon fiber composite beam and its response is investigated to free and forced vibration. In impact location detection, four optical fiber vibration sensors whose location is predetermined are placed at chosen positions and the different arrival times of impact-generated vibration signal are recorded by an FFT analyzer. Impact location can be calculated from these time delays. Experimental results show that optical fiber vibration sensor signals coincide with gap sensor in vibration sensing. The precise location of impact can be detected on an acrylate plate.

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An Investigation on the Lateral Vibration of General Rotors Considering Additional Effects (부수적인 영향 을 고려한 일반적인 회전축 의 횡진동 에 관한 연구)

  • 한동철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.1
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    • pp.81-90
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    • 1985
  • For the prediction of the real vibration and stability behaviour of rotor-beaing systems, various additional effects were considered, which are simplified or neglected by conventional modeling of real rotors. These are specially coupled spring and damping coefficients of journal bearings, spring and damping coefficients of external supporting elements for bearings, static load exerting on gears or pulleys by power transmissions, excitation through the gear tolerance or failure, and positive or negative spring and damping characteristics of magnetic or sealing friction force. Considering these effects, a computer program for the calculation of free and forced vibration of rotating shafts supported by two or more bearings is developed, based on the transfer matrixed method. The reliability of the calculated resutls were ascertianed by comparing with the measured data on high speed rotors supported by two journal bearings.

Applicaion of Sensitivity Formulation to Analyze the Dynamic Response due to the Excitation Force for the Undamped Vibration of Cantilever Beam (외팔보의 비감쇠 진동시 가진력에 의한 동적 반응의 민감도 정식화 및 해석)

  • Yun, Seong-Ho
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.19 no.11
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    • pp.29-34
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    • 2020
  • In this study, a sensitivity formulation was applied to analyze the dynamic response due to the effect of the excitation force for the undamped vibration of the cantilever beam. The theoretically fundamental formulations were derived considering an eigenvalue problem and its modal analysis to govern the second order algebraic differential equation in terms of the change in the modal coordinate with respect to the design parameters. A representative physical quantity pertaining to the dynamic response, that is, the rate of change in the dynamic displacement, was observed by changing the design variables, such as the cross-sectional area of the beam. The numerical results were obtained at various locations, considering the application of the external forces and observation of the dynamic displacement. When the detection position was closer to the free end of the cantilever beam, the sensitivity of the dynamic displacement was higher, as predicted through the oscillating motion of the beam. The presented findings can provide guidance to compute the dynamic sensitivity for a flexibly connected structure under dynamic excitations.

Analysis of Fluid-Structure Interactions Considering Nonlinear Free Surface Condition for Base-isolated Fluid Storage Tank (면진된 유체저장탱크의 비선형 유체-구조물 상호작용 해석)

  • Kim, Moon-Kyum;Lim, Yun-Mook;Cho, Kyung-Hwan;Jung, Sung-Won;Eo, Jun
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.09a
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    • pp.481-488
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    • 2003
  • A fluid-structure-isolator interaction program was developed in this study. The behavior of liquid regions are simulated by the boundary element method, and then the technique of analyzing the free surface motion in time domain is developed by using the nonlinear free surface boundary condition(NFBC) and the condition of interface between the structure and the fluid. Structure regions are modeled by the finite element method. In order to construct the governing equation of the fluid structure interaction(FSI)problem in time domain, the finite elements for a structure and boundary elements for liquid are coupled using the equilibrium condition, the compatibility condition and NFBC. The isolator is simulated by equation proposedin 3D Basis Me. In order to verify the validity and the applicability of the developed fluid- structure -Isolator interaction program, The horizontal forced vibration analysis was performed. The applicability of the developed method is verified through the artificial seismic analysis of real size liquid storage tank.

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