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Статті в журналах з теми "Parametric vibrations"

Автор: Grafiati

Опубліковано: 30 травня 2022

Оновлено: 31 травня 2022

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1

Dohnal, F. "Experimental studies on damping by parametric excitation using electromagnets." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 226, no. 8 (March 1, 2012): 2015–27. http://dx.doi.org/10.1177/0954406212439515.

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Анотація:

Transient vibrations in mechanical systems are a common problem in engineering. Several theoretical studies have shown analytically and numerically that a vibrating system can be stabilised or its vibrations can be reduced when excited close to a specific parametric combination resonance frequency. At this operation, the transient vibrations are effectively damped by parametric excitation. The basic step in exploiting this method is its experimental implementation in mechanical systems. In this review, recent experiments are discussed for a simple chain mass system, a continuous cantilever and a flexible rotor system. The parametric excitation is realised by electromagnetic variable-stiffness actuators driven by a periodic open-loop control. It is demonstrated experimentally that a parametrically excited structure can exhibit enhanced damping properties. A certain level of the excitation amplitude has to be exceeded to achieve the damping effect in which the existing damping in the system is artificially amplified. Upon exceeding this value, the additional artificial damping provided to the system is significant and most effective for vibration suppression of the lower vibration modes.

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2

Frumen, A. "Imitative simulation of parametric beam vibrations." Transactions of the Krylov State Research Centre S-I, no. 2 (December 28, 2020): 110–12. http://dx.doi.org/10.24937/2542-2324-2020-2-s-i-110-112.

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This paper discusses two approaches to the investigation of parametric vibrations for beam structures: the approximate approach also known as VKB method (phase integrals) and the iterative algorithm basically simulating the process of vibration. The study compares the results yielded by these two approaches for a compressed freely supported beam and a ring under external compression load. The problem was solved through graphic programming in PVISSIM environment.

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3

Gao, Nan, Chanannipat Meesap, Shiyu Wang, and Dongsheng Zhang. "Parametric vibrations and instabilities of an elliptical gear pair." Journal of Vibration and Control 26, no. 19-20 (February 14, 2020): 1721–34. http://dx.doi.org/10.1177/1077546320902543.

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Parametric vibrations and instabilities can be induced in an elliptical gear pair. This study examined the effects of basic parameters on vibration instability. Geometric parameters and time-variant mesh stiffness are calculated. A torsional dynamic model is established by introducing the lumped parameter assumption. Based on the model, the parametric vibrations caused by the excitations of eccentricity and time-variant mesh stiffness are investigated, and the additive and difference combination resonances are identified. Comparison between the elliptical and circular gears implies that the vibration amplitude at mesh frequency of the elliptical gears is lower than that of the regular circular gears. The vibrations caused by load torque are also examined. The results show that the vibrations with different frequencies are coupled with each other. The inherent reason behind the coupling is the interaction between the eccentricity, time-variant stiffness, and load.

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4

Strelnikova, E., D. Kriutchenko, V. Gnitko, and A. Tonkonozhenko. "Liquid Vibrations in Cylindrical Tanks with and Without Baffles Under Lateral and Longitudinal Excitations." International Journal of Applied Mechanics and Engineering 25, no. 3 (September 1, 2020): 117–32. http://dx.doi.org/10.2478/ijame-2020-0038.

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AbstractThe paper is devoted to issues of estimating free surface elevations in rigid cylindrical fluid-filled tanks under external loadings. The possibility of baffles installation is provided. The liquid vibrations caused by lateral and longitudinal harmonic loadings are under consideration. Free, forced and parametrical vibrations are examined. Modes of the free liquid vibrations are considered as basic functions for the analysis of forced and parametric vibrations. The modes of the free liquid vibrations in baffled and un-baffled cylindrical tanks are received by using single-domain and multi-domain boundary element methods. Effects of baffle installation are studied. The problems of forced vibrations are reduced to solving the systems of second order ordinary differential equations. For parametric vibrations the system of Mathieu equations is obtained. The numerical simulation of free surface elevations at different loadings and baffle configurations is accomplished. Beat phenomena effects are considered under lateral harmonic excitations. The phenomenon of parametric resonance is examined under longitudinal harmonic excitations.

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5

Pešek, Ludek, Petr Šulc, and Ladislav Půst. "Numerical Study of Forced Vibration Suppression by Parametric Anti-Resonance." Archives of Acoustics 41, no. 3 (September 1, 2016): 527–33. http://dx.doi.org/10.1515/aoa-2016-0051.

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Abstract The parametric anti-resonance phenomenon as an active damping tool for suppression of externally excited resonant vibration is numerically studied herein. It is well known fact that the anti-resonance phenomenon, i.e. the stiffness periodic variation by subtractive, combination resonance frequency, brings stabilization and cancelling into self-excited vibrations. But this paper aims at a new possibility of its application, namely a damping of externally excited resonant vibration. For estimation of its effect we come both from a characteristic exponent of the analytical solution and numerical solution of forced vibration of 2DOF linear system with additional parametric excitation. The amplitude suppression owing to the parametric anti-resonance is studied on several parameters of the system: a depth of parametric excitation, mass ratio, damping coefficient and small frequency deviations from the parametric anti-resonance.

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6

Beltran-Carbajal, Francisco, Hugo Francisco Abundis-Fong, Luis Gerardo Trujillo-Franco, Hugo Yañez-Badillo, Antonio Favela-Contreras, and Eduardo Campos-Mercado. "Online Frequency Estimation on a Building-like Structure Using a Nonlinear Flexible Dynamic Vibration Absorber." Mathematics 10, no. 5 (February 24, 2022): 708. http://dx.doi.org/10.3390/math10050708.

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The online frequency estimation of forced harmonic vibrations on a building-like structure, using a nonlinear flexible vibration absorber in a cantilever beam configuration, is addressed in this article. Algebraic formulae to compute online the harmonic excitation frequency on the nonlinear vibrating mechanical system using solely available measurement signals of position, velocity, or acceleration are presented. Fast algebraic frequency estimation can, thus, be implemented to tune online a semi-active dynamic vibration absorber to obtain a high attenuation level of undesirable vibrations affecting the main mechanical system. A semi-active vibration absorber can be tuned for application where variations of the excitation frequency can be expected. Adaptive vibration absorption for forced harmonic vibration suppression for operational scenarios with variable excitation frequency can be then performed. Analytical, numerical, and experimental results to demonstrate the effectiveness and efficiency of the operating frequency estimation, as well as the acceptable attenuation level achieved by the tunable flexible vibration absorber, are presented. The algebraic parametric estimation approach can be extended to add capabilities of variable frequency vibration suppression for several configurations of dynamic vibration absorbers.

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7

Landolsi, Fakhreddine, Slim Choura, and Ali H. Nayfeh. "Control of 2D Flexible Structures by Confinement of Vibrations and Regulation of Their Energy Flow." Shock and Vibration 16, no. 2 (2009): 213–28. http://dx.doi.org/10.1155/2009/727236.

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In this paper, we investigate the control of 2D flexible structures by vibration confinement and the regulation of their energy flow along prespecified spatial paths. A discretized-model-based feedback strategy, aiming at confining and suppressing simultaneously the vibration, is proposed. It is assumed that the structure consists of parts that are sensitive to vibrations. The control design introduces a new pseudo-modal matrix derived from the computed eigenvectors of the discretized model. Simulations are presented to show the efficacy of the proposed control law. A parametric study is carried out to examine the effects of the different control parameters on the simultaneous confinement and suppression of vibrations. In addition, we conducted a set of simulations to investigate the flow control of vibrational energy during the confinement-suppression process. We found that the energy flow can be regulated via a set of control parameters for different confinement configurations.

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8

Dimentberg, M. F., and A. S. Bratus'. "Bounded parametric control of random vibrations." Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 456, no. 2002 (October 8, 2000): 2351–63. http://dx.doi.org/10.1098/rspa.2000.0615.

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9

Rowland, David R. "Parametric resonance and nonlinear string vibrations." American Journal of Physics 72, no. 6 (June 2004): 758–66. http://dx.doi.org/10.1119/1.1645281.

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10

Guthy, C., C. W. Van Neste, S. Mitra, S. Bhattacharjee, and T. Thundat. "Parametric energy conversion of thermoacoustic vibrations." Applied Physics Letters 100, no. 20 (May 14, 2012): 203902. http://dx.doi.org/10.1063/1.4714693.

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11

Pyryev, Yuriy, and Juliusz Krzyżkowski. "Parametric vibrations in offset printing units." Theoretical and Applied Mechanics Letters 2, no. 4 (2012): 043011. http://dx.doi.org/10.1063/2.1204311.

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12

Krawczuk, M., and W. M. Ostachowicz. "Parametric vibrations of beam with crack." Archive of Applied Mechanics 62, no. 7 (1992): 463–73. http://dx.doi.org/10.1007/bf00810237.

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13

Ghayesh, Mergen H., and Hamed Farokhi. "Parametric vibrations of imperfect Timoshenko microbeams." Microsystem Technologies 23, no. 10 (March 27, 2017): 4917–29. http://dx.doi.org/10.1007/s00542-017-3358-0.

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14

Bisembaev, K., and А. Smanov. "PARAMETRIC BENDING VIBRATIONS OF ELASTIC STRUCTURES WITH VARIABLE SECTIONS ON VIBRATION MOUNTINGS." Bulletin Series of Physics & Mathematical Sciences 75, no. 3 (September 15, 2021): 51–63. http://dx.doi.org/10.51889/2021-3.1728-7901.06.

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Анотація:

The article is devoted to the study of the oscillatory motion of an elastic structure with variable sections on rolling bearings with straightened surfaces, which simulates a number of technical solutions, which has received its practical embodiment in the problem of ensuring the seismic resistance of building structures and vibration isolation of massive bodies. Equations of motion of an elastic structure with variable sections on rolling bearings bounded by high-order surfaces of revolution are obtained. The resonant modes of parametric vibrational motion of an elastic structure with variable sections are investigated using the Ritz variational method. In the resonant zone of the oscillatory movements of the base, the movement of the elastic structure will be small, and when the natural frequencies of the elastic structure coincide with the frequency of the disturbance, the phenomenon of resonance will appear. The amplitude of the parametric disturbance of the resonant zones of bending vibrations of elastic structures expands with increasing The amplitude-frequency characteristics of parametric oscillations depend on the parameters of the structure. An increase in the parameters of the base of wedge-shaped elastic structures leads to a shift of the resonance curves towards an increase in the disturbance frequencies

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15

Kotowski, Adam. "Parametric Description of Vibration Using the Autocorrelation Function." Solid State Phenomena 147-149 (January 2009): 606–11. http://dx.doi.org/10.4028/www.scientific.net/ssp.147-149.606.

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The paper presents the use of the autocorrelation function for the description of vibrations and the problems connected with. The proposed method is based on the analysis of vibration signal recorded for machine during its operations using an analytic form of the autocorrelation function. The parameters are obtained using a curve fitting procedure. To keep a quality of parametric representation of considered vibration, only the curve fitting causes a determination coefficient over 0.90 is taken into consideration. Therefore, the autocorrelation functions are submitted for the fast Fourier transform to be helped, in determination of number of the dominant harmonic components. Also, the analytic form and parameters of power spectral density has been also calculated. Finally, the set of parameters has been collected to describe the selected fragment of vibration of the simple rotating machine. The influence of duration of analyzed vibration on the parameters values is also examined in this work.

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16

Christensen, René H., and Ilmar F. Santos. "Modal Controllability and Observability of Bladed Disks and their Dependency on the Angular Velocity." Journal of Vibration and Control 11, no. 6 (June 2005): 801–28. http://dx.doi.org/10.1177/1077546305054596.

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Rotating bladed disks are characterized by time-variant mathematical models presenting vibration coupling among rotor lateral motion and blade flexible motion. Moreover, they present parametric vibration modes and the blade natural frequencies may change depending on the angular velocity due to centrifugal stiffening. Consequently, the degree of controllability and observability of bladed disks also becomes time-varying, dependent on angular velocity, and a difficult task to analyze. In this paper we present a methodology for analyzing the modal controllability and observability of a bladed disk, based on time-variant modal analysis. The method takes into account time-variant parametric vibration mode shapes, and quantitative measures of modal controllability and observability are calculated. Numerical results show that, in order to control blade and shaft vibrations of a tuned bladed disk, by means of active control, blade-based as well as shaft-based sensing and actuation are required to monitor and control all vibration levels. If rotor blades are properly mistuned, the results show that disk as well as blade vibrations are monitorable and controllable by using only shaft-based sensing and actuation. The analysis shows why the mistuned disk becomes theoretically controllable and observable, via the presence of parametric mode shape components. Finally, the results show that the levels of controllability and observability depend significantly on the angular velocity, no matter the number of applied sensors and actuators used or their positioning.

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17

Rinchi, M., and E. Gambini. "Theoretical and Numerical Experiences on a Test Rig for Active Vibration Control of Mechanical Systems with Moving Constraints." Shock and Vibration 11, no. 3-4 (2004): 187–97. http://dx.doi.org/10.1155/2004/214572.

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Active control of vibrations in mechanical systems has recently benefited of the remarkable development of robust control techniques. These control techniques are able to guarantee performances in spite of unavoidable modeling errors. They have been successfully codified and implemented for vibrating structures whose uncertain parameters could be assumed to be time-invariant. Unfortunately a wide class of mechanical systems, such as machine tools with carriage motion realized by a ball-screw, are characterized by time varying modal parameters. The focus of this paper is on modeling and controlling the vibrations of such systems. A test rig for active vibration control is presented. An analytical model of the test rig is synthesized starting by design data. Through experimental modal analysis, parametric identification and updating procedures, the model has been refined and a control system has been synthesized.

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18

Lai, J. S., and K. W. Wang. "Parametric Control of Structural Vibrations via Adaptable Stiffness Dynamic Absorbers." Journal of Vibration and Acoustics 118, no. 1 (January 1, 1996): 41–47. http://dx.doi.org/10.1115/1.2889633.

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Анотація:

An energy-based algorithm is developed for dynamic absorbers with adaptable stiffness to suppress structural vibrations via real-time parametric control actions. A controller with multi-objective fuzzy logic is created to reduce the main structure energy while constraining the total system energy. To ensure stability, an adaptive-passive supervisor is designed to provide guidelines for implementing the control law. It is proved that the system using this supervisor is globally stable in the sense that all signals involved are bounded. The performance of the controller is demonstrated on a beam example. It is shown that the structure energy level and vibration amplitude can be suppressed effectively.

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19

Khang, Nguyen Van, and Tran Dinh Son. "On the nonlinear parametric resonance of a torsional vibration system with variable generalized masses." Vietnam Journal of Mechanics 14, no. 4 (December 31, 1992): 10–18. http://dx.doi.org/10.15625/0866-7136/10239.

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Анотація:

In this paper the nonlinear parametric resonance of a torsional vibration system with variable generalized masses is investigated. The small parameter method is applied to a weakly nonlinear system in order to find its solutions. The stability of the resonance vibrations is studied by the method of Schmidt.

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20

ILGAMOV, M. A., and M. M. SHAKIRYANOV. "FORCED AND PARAMETRIC VIBRATIONS OF A PIPE." Izvestia Ufimskogo Nauchnogo Tsentra RAN, no. 3 (September 21, 2020): 5–11. http://dx.doi.org/10.31040/2222-8349-2020-0-3-5-11.

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21

Atepor, L. "Controlling flexible rotor vibrations using parametric excitation." Journal of Physics: Conference Series 181 (August 1, 2009): 012021. http://dx.doi.org/10.1088/1742-6596/181/1/012021.

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22

Rezig, A., and M. Ouali. "Suppressing boring bar vibrations by parametric excitation." Advances in Production Engineering & Management 7, no. 4 (December 15, 2012): 237–44. http://dx.doi.org/10.14743/apem2012.4.145.

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23

Cartmell, M., and Haym Benaroya. "Introduction to Linear, Parametric and Nonlinear Vibrations." Journal of Engineering Mechanics 119, no. 3 (March 1993): 642. http://dx.doi.org/10.1061/(asce)0733-9399(1993)119:3(642).

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24

Awrejcewicz, J., V. A. Krysko, and A. V. Krysko. "Complex Parametric Vibrations of Flexible Rectangular Plates." Meccanica 39, no. 3 (June 2004): 221–44. http://dx.doi.org/10.1023/b:mecc.0000022845.52667.b0.

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25

Tondl, A. "Introduction to linear, parametric and nonlinear vibrations." Journal of Sound and Vibration 147, no. 3 (June 1991): 545–46. http://dx.doi.org/10.1016/0022-460x(91)90504-d.

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26

Shvarts, A. A., Yu A. Bur’yan, V. V. Shalai, M. V. Ugrenev, and A. V. Zubarev. "Parametric Vibrations of Pipelines with Compensating Inserts." Chemical and Petroleum Engineering 53, no. 5-6 (September 2017): 316–21. http://dx.doi.org/10.1007/s10556-017-0340-8.

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27

Xu, L., L. Peng, and D. Wu. "Electromechanical Coupled Parametric Vibrations for Electromagnetic Railgun." Journal of Vibration Engineering & Technologies 6, no. 2 (April 2018): 139–47. http://dx.doi.org/10.1007/s42417-018-0024-5.

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28

Ilyasov, M. H. "Parametric vibrations and stability of viscoelastic shells." Mechanics of Time-Dependent Materials 14, no. 2 (March 4, 2010): 153–71. http://dx.doi.org/10.1007/s11043-009-9100-2.

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29

Chan, Ahluwalia, and Gopinath. "Parametric Study of Fixtured Vibropeening." Metals 9, no. 8 (August 19, 2019): 910. http://dx.doi.org/10.3390/met9080910.

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Анотація:

Vibropeening is a surface treatment process, which combines the peening effect of introducing residual stress with the polishing effect of reducing surface roughness in one single process step. Vibropeening equipment induces vibrations into the media to impart residual compressive stresses in sub-surface layers, as well as polishing on the surface of the work piece. In addition to process parameters, such as vibration frequency, amplitude, and media mass, which are well known in literature, this paper will focus on the study of two additional parameters: immersion depth and process time. It was found that the lower-middle section of the vibratory trough produced the highest Almen deflection. Different continuous treatment times were also studied to explore the maximum introducible residual compressive stress state, and it was concluded that an optimal time range is required to achieve the best residual stress profile. The study demonstrates that different process parameters can influence the effectiveness of the vibropeening process, and that these can be potentially optimized for higher treatment capability.

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30

Ecker, Horst, and Thomas Pumhössel. "Vibration suppression and energy transfer by parametric excitation in drive systems." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 226, no. 8 (May 17, 2012): 2000–2014. http://dx.doi.org/10.1177/0954406212447485.

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Анотація:

Drive systems may experience torsional vibrations due to various kinds of excitation mechanisms. In many engineering systems, however, such vibrations may have a negative impact on the performance and must be avoided or reduced to an acceptable level by all means. Self-excited vibrations are especially unwanted, since they may grow rapidly and not only degrade the performance but even damage machinery. In this contribution it is suggested to employ parametric stiffness excitation to suppress self-excited vibrations. In the first part of the article we study the basic energy transfer mechanism that is initiated by parametric excitation, and some general conclusions are drawn. In the second part, a hypothetic drivetrain, consisting of an electrical motor, a drive shaft and working rolls is investigated. A self-excitation mechanism is assumed to destabilize the drive system. Parametric excitation is introduced via the speed control of the electrical drive, and the capability of stabilizing the system by this measure is investigated. It is shown that the damping available in the system can be used much more effectively if parametric stiffness excitation is employed.

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31

Warminski, J., and K. Kecik. "Autoparametric vibrations of a nonlinear system with pendulum." Mathematical Problems in Engineering 2006 (2006): 1–19. http://dx.doi.org/10.1155/mpe/2006/80705.

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Vibrations of a nonlinear oscillator with an attached pendulum, excited by movement of its point of suspension, have been analysed in the paper. The derived differential equations of motion show that the system is strongly nonlinear and the motions of both subsystems, the pendulum and the oscillator, are strongly coupled by inertial terms, leading to the so-called autoparametric vibrations. It has been found that the motion of the oscillator, forced by an external harmonic force, has been dynamically eliminated by the pendulum oscillations. Influence of a nonlinear spring on the vibration absorption near the main parametric resonance region has been carried out analytically, whereas the transition from regular to chaotic vibrations has been presented by using numerical methods. A transmission force on the foundation for regular and chaotic vibrations is presented as well.

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32

Mróz, Arkadiusz, Jan Holnicki-Szulc, and Jan Biczyk. "Prestress Accumulation-Release Technique for Damping of Impact-Born Vibrations: Application to Self-Deployable Structures." Mathematical Problems in Engineering 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/720236.

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Анотація:

A numerical study is presented, which tailors so-called prestress accumulation-release (PAR) strategy to mitigate free vibrations of frame structures. First, the concept of proposed semiactive technique is outlined and possible applications are specified. In the second part of the work a parametric study is discussed, which illustrates the potential of the method for mitigation of free vibrations induced by impact or other initial load scenarios. Special attention is given to the energy balance including all relevant contributions to the total energy of the considered dissipative system. The proposed technique shows a very high potential in mitigation of free vibrations, exceeding 99% of the reference amplitude after 5 cycles of vibration.

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33

Norouzi, Hamed, and Davood Younesian. "Analytical Modeling of Transverse Vibrations and Acoustic Pressure Mitigation for Rotating Annular Disks." Mathematical Problems in Engineering 2022 (January 17, 2022): 1–17. http://dx.doi.org/10.1155/2022/3722410.

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This paper gives an analytical approach for investigating free and forced transverse vibrations of a clamped-free rotating annular disk and obtaining the acoustic pressure distribution around the spinning disk. In the beginning, a modal analysis based on new analytical methods is carried out to find natural frequencies and mode shapes of the disk. Forced vibration of the disk is then investigated using Galerkin’s method. An analytical approach based on Laplace transformation is used to obtain time-dependent coefficients of the transverse response. A passive control strategy is examined for reducing the amplitudes of the transverse vibrations. The properties of the absorbers are examined in order to obtain the best performance. Rayleigh integral method and Durbin’s numerical Laplace transform inversion technique are adopted to compute the acoustic pressure around the rotating disk. Finally, a parametric study is performed and the effects of the design parameters as well as rotational conditions on the vibrational responses and the sound pressure of the spinning disk are examined.

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34

He, Xuhui, Yihua Peng, Haiquan Jing, Lei Zhou, and Yu Zhou. "Parametric studies on the dynamic properties of stay cables interconnected with uniformly distributed cross-ties." Advances in Structural Engineering 22, no. 4 (July 11, 2018): 882–92. http://dx.doi.org/10.1177/1369433218786544.

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The cable-stayed bridge is one of the most popular super-long-span bridges. However, the stay cables are prone to large vibration because their inherent characteristics of low mass, small damping, and large flexibility. Keeping the stay cables calm is significant to ensure their safety. Over the past decade, the use of cross-tie has become a practical and effective method to suppress the cable vibrations. Extensive research has led to a better understanding of the mechanics of cable-cross-tie systems and revealed that the application of a single or a few cross-ties may yield a potential deficiency in local modal vibrations. Recently, the use of large numbers of small elastic cross-ties uniformly distributed along stay cables has been proposed to replace the single or multiple cross-ties traditionally used to suppress the large vibrations of stay cables and delay the “mode localization.” In a previous study, the closed-form solutions to the free vibration of two equal-length cables with uniformly distributed elastic cross-ties have been derived and a numerical procedure has been developed to calculate the resulting modal frequencies and mode shapes. The uniformly distributed cross-ties successfully delayed the “model localization.” In the present study, the effects of the stiffness, width, and location of the uniformly distributed cross-ties on the free vibration of the general cable-cross-tie system are further investigated through parametric analyses. The results indicate that the stiffness and width of the cross-ties significantly affect the modal frequencies and mode shapes of the cable cross-tie system, while the location of the cross-ties has a relatively small effect.

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35

Tuladhar, Raju, Walter H. Dilger, and Mamdouh M. Elbadry. "Influence of cable vibration on seismic response of cable-stayed bridges." Canadian Journal of Civil Engineering 22, no. 5 (October 1, 1995): 1001–20. http://dx.doi.org/10.1139/l95-116.

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In cable-stayed bridges, modelling the cables is of particular significance for the seismic behaviour of the structure. The common practice of modelling a cable by a single truss element is inadequate for seismic response calculations because it essentially precludes the lateral cable vibration modes. The present paper studies the influence of cable vibrations on the seismic response of cable-stayed bridges. Three bridge examples with different spans and properties were used. Cable vibrations are accounted for through the use of multiple links for each cable. Cable vibration effects are found to be significant for seismic response calculations, particularly when the cable fundamental frequencies are overlapping with the first few frequencies of the bridge. Parametric studies are conducted with regard to the number of links per cable, the effect of the modulus of elasticity of the cables, and different earthquakes on the bridge response. Modelling the cables by two links per cable such that at least the fundamental modes of the cable vibrations are represented can significantly account for the effect of cable vibrations. It is also observed that the equivalent modulus method cannot in any way account for the cable vibration effects. Key words: cable vibration, dynamic analysis, equivalent modulus, multiple links, seismic response, cable-stayed bridge.

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36

Pańtak, Marek, and Bogusław Jarek. "Parametric Analyses of Dynamic Characteristic of the Cable-Stayed Pedestrian Bridge." Civil and Environmental Engineering Reports 27, no. 4 (December 20, 2017): 77–90. http://dx.doi.org/10.1515/ceer-2017-0052.

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Abstract The paper presents characteristics of the structural system and results of dynamic field tests and numerical parametric analyses of three-span, two-pylon, cable-stayed pedestrian bridge with steel-concrete composite deck and spans of 25.5 + 60.0 + 25.5 m. The footbridge is characterized by increased dynamic susceptibility of the elements of the suspension system observed during the everyday operation of the structure. The analyses have shown that the high amplitude vibrations of the pylon back-stay cables change the parameters of the structural system and consequently change the value of the natural vibration frequencies of the structure. In the paper, the selection methodology of parameters of the computational model which allows to correctly determine the natural vibration frequencies of the footbridge has been presented.

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37

Shardakov, I. N., I. O. Glot, A. P. Shestakov, K. V. Sobyanin, and D. V. Gubskiy. "Parametric analisys of interaction between angular and translational vibrations of vibration-sensitive systems." Computational Continuum Mechanics 12, no. 4 (2019): 446–54. http://dx.doi.org/10.7242/1999-6691/2019.12.4.38.

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38

Chen, Wei-Ren, Chun-Sheng Chen, and Jenq-Huey Shyu. "Stability of parametric vibrations of laminated composite plates." Applied Mathematics and Computation 223 (October 2013): 127–38. http://dx.doi.org/10.1016/j.amc.2013.07.095.

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39

Cardoni, Andrea, Margaret Lucas, Matthew P. Cartmell, and Fannon C. N. Lim. "Nonlinear and Parametric Vibrations in Ultrasonic Cutting Systems." Materials Science Forum 440-441 (November 2003): 397–406. http://dx.doi.org/10.4028/www.scientific.net/msf.440-441.397.

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40

Tylikowski, Andrzej, and Kurt Frischmuth. "Stability and stabilization of circular plate parametric vibrations." International Journal of Solids and Structures 40, no. 19 (September 2003): 5187–96. http://dx.doi.org/10.1016/s0020-7683(03)00263-4.

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41

Williams, F. W., A. K. Jemah, L. M. Song, and D. Kennedy. "Exact Parametric Study Giving Insight into Dome Vibrations." International Journal of Space Structures 9, no. 3 (September 1994): 127–34. http://dx.doi.org/10.1177/026635119400900301.

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A parametric study is presented of the undamped free vibration of a one layer truss type circular dome, with terrestrial proportions. The dome is composed of 36 identical portions, but is supported at only 4, 6, 9, 12, 18 or 36 uniformly spaced points. Only one of the 36 portions is needed in the analysis, using the large space frame computer program BUNVIS-RG, which can analyse linearly repetitive or rotationally periodic structures ‘exactly’, e.g. without the usual finite element discretisation approximations. The study includes changing: the height to diameter ratio; the number of supports; the type of supports; and the type of joint from rigid to pinned connections. In addition, modal densities are found for a near optimum dome. The method used gives valuable insights into the exact mode shapes by showing that they are always composed entirely of a (usually short) finite series of circumferential sine waves.

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42

Kurpa, L. V., and O. S. Mazur. "Parametric vibrations of orthotropic plates with complex shape." International Applied Mechanics 46, no. 4 (October 2010): 438–49. http://dx.doi.org/10.1007/s10778-010-0326-0.

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43

Chen, Chun-Sheng, Wei-Ren Chen, and Rean-Der Chien. "Stability of parametric vibrations of hybrid composite plates." European Journal of Mechanics - A/Solids 28, no. 2 (March 2009): 329–37. http://dx.doi.org/10.1016/j.euromechsol.2008.06.004.

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44

Hong, Shi Cong, Du Jian Zou, Ming Hai Wei, and Kun Lin. "Effects of Supporting Member on the Nonlinear Parametric Resonance of a Cable." International Journal of Structural Stability and Dynamics 16, no. 02 (February 25, 2016): 1450096. http://dx.doi.org/10.1142/s0219455414500965.

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The cables in cable-supported structures are commonly subjected to potentially damaging large amplitude motions mainly arising from parametric vibrations of the cables. This paper presents an analysis of the effects of supporting member on the nonlinear parametric vibration of a cable using a coupled cable-beam model. The proposed model considers the parameters of the beam and geometric nonlinearities of the cable. First, the multiple scales method is applied directly to the model, and by using the first-order equation, the frequency response and stability conditions are obtained. The effects of the mass ratio, stiffness ratio, and inclined angle of the coupled model are then evaluated. Then, the effects of these parameters on the parametric vibration characteristics of cable are investigated in terms of the maximum mid-span displacement and dynamic amplification factor. The results obtained represent an extension of the previous studies, which provide some useful insights into the design of cable-supported structures.

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45

Zhang, Sigong, and Lei Xu. "Human-induced vibration of cold-formed steel floor systems: Parametric studies." Advances in Structural Engineering 23, no. 10 (February 16, 2020): 2030–43. http://dx.doi.org/10.1177/1369433220904013.

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Designing a lightweight floor to prevent annoying vibrations induced by human activities is still a challenge because numerous factors need to be considered. In consequence, there is still a lack of reliable models and adequate design guidelines pertinent to the vibration serviceability of cold-formed steel floor systems. To facilitate understanding the fundamental concepts of lightweight floor vibrations for serviceability design, a newly proposed damped plate-oscillator model was adopted in this research to predict dynamic responses of cold-formed steel floors induced by human walking. Three loading methods were developed based on this model. By using these loading methods, comprehensive parametric studies involving step frequencies, mass ratios, damping ratios, walking paths and end-support restraints were conducted. The present analytical studies show that the influence of moving or stationary occupants depends on the mass ratio of occupants to the floor and its significance could be negligible for small mass ratios. In addition, the boundary restraints at floor end-supports may not always reduce floor responses. On the contrary, relatively larger responses could be excited by human walking for the restrained floors having the fundamental frequency close to the multiple of the footstep frequency.

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46

Al-Bedoor, B. O. "Reduced-Order Nonlinear Dynamic Model of Coupled Shaft-Torsional and Blade-Bending Vibrations in Rotors." Journal of Engineering for Gas Turbines and Power 123, no. 1 (May 16, 2000): 82–88. http://dx.doi.org/10.1115/1.1341203.

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In this study, a reduced-order nonlinear dynamic model for shaft-disk-blade unit is developed. The multibody dynamic approach with the small deformation theory for both blade-bending and shaft-torsional deformations is adopted. The equations of motion are developed using Lagrange’s equation in conjunction with the assumed modes method (AMM) for approximating the blade transverse deflection. The model showed strong coupling between the blade bending and shaft torsional vibrations in the form of inertial nonlinearity, modal coupling, stiffening, softening, and parametric excitations. The model is suitable for extensive parametric studies for predesign stage purposes as well as for diagnostics of rotor malfunctions, when blade and shaft torsional vibration interaction is suspected.

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47

Nayfeh, Ali H., and Waleed Faris. "Thermally Induced Principal Parametric Resonance in Circular Plates." Shock and Vibration 9, no. 3 (2002): 143–50. http://dx.doi.org/10.1155/2002/718921.

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We consider the problem of large-amplitude vibrations of a simply supported circular flat plate subjected to harmonically varying temperature fields arising from an external heat flux (aeroheating for example). The plate is modeled using the von Karman equations. We used the method of multiple scales to determine an approximate solution for the case in which the frequency of the thermal variations is approximately twice the fundamental natural frequency of the plate; that is, the case of principal parametric resonance. The results show that such thermal loads produce large-amplitude vibrations, with associated multi-valued responses and subcritical instabilities.

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48

Gluhović, Nina, Zlatko Marković, and Milan Spremić. "Numerical parametric study on steel-concrete composite floor beams vibrations due to pedestrian traffic." Gradjevinski materijali i konstrukcije 64, no. 1 (2021): 45–58. http://dx.doi.org/10.5937/grmk2101045g.

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Human perception of floor vibrations and uncompromised serviceability of equipment are two most important acceptability criteria considering floor vibrations. While verification of deflection is a simple and well-known procedure in structures' design for serviceability limit state, the fulfilment of floor vibrations acceptability criteria are presented in different standards in the form of various calculation procedures. Results achieved through those calculation procedures are presented in the form of various classification of floor structures. Classification of composite floor structures due to vibrations is inconsistent considering different calculation procedures. Comparison of various calculation procedures for the definition of composite floor vibrations is presented in this paper. In addition, a parametric analysis is performed on the wide range of steel-concrete composite floor structures, through analysis of various composite floor layouts and a wide range of imposed loads values. The analysis of the relation between deflection, vertical vibrations and accelerations of steel-concrete composite floor beams is presented in this paper. The results of the parametric analysis are given through direct relation between deflections of composite beams and achieved floor class for the fulfilment of vibrations acceptability criteria due to the pedestrian walking.

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Koutsianitis, Panagiotis, Georgios K. Tairidis, Alexandros Kougkoulos, and Georgios E. Stavroulakis. "PARAMETRIC INVESTIGATION OF BAND GAP EFFECTS IN CHIRAL MICROSTRUCTURES." Journal of the Serbian Society for Computational Mechanics 15, no. 2 (December 30, 2021): 63–78. http://dx.doi.org/10.24874/jsscm.2021.15.02.07.

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Vibration suppression has been thoroughly studied in the last few years. A number of methods has been proposed for this purpose. An evolving method lies in the search of band gap regions, that is, certain frequency ranges where vibrations are isolated. In the present investigation, a periodic unit cell of a chiral metamaterial has been created in order to study its dynamic behavior and how this affects the wave propagation into a lattice structure consisting of repeated chiral microstructures. Each cell represents a composite structure consisted by a soft matrix with hard connector wings and a circular core. The system is studied by plane stress finite elements. The design parameters of the structure that define the shape and the material are modified in order to study the changes at the appearance of the band gap areas. In addition, results of the dynamic response of the structure in the frequency domain will be presented in order to show the magnitude of the vibration reduction that can be achieved in a specific frequency range.

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50

Kim, Gweon Sik, Sang Jin Oh, Tae Eun Lee, and Byoung Koo Lee. "Free vibrations of axially functionally graded horseshoe arch." Engineering Solid Mechanics 9, no. 3 (2021): 251–62. http://dx.doi.org/10.5267/j.esm.2021.3.005.

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This paper deals with free vibrations of the axially functionally graded (AFG) horseshoe arch. The modulus of elasticity and the mass density of AFG material of arch are chosen as a univariate quadratic function. The differential equations with the boundary conditions that govern the free vibration of such arch are derived and numerically solved to calculate natural frequencies and mode shapes. Natural frequencies of this study agree well with those of the finite element ADINA. Parametric studies of the geometrical and mechanical properties of the arch on frequencies and mode shapes are performed and extensively discussed.

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