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Journal articles on the topic 'Parametric vibrations'

Author: Grafiati

Published: 30 May 2022

Last updated: 31 July 2025

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1

Гапонюк, Т. О., Р. В. Кірчук, and Л. Ю. Забродоцька. "USING HYDRAULIC PARAMETRIC VIBRATION EXCITER IN AGRICULTURAL ENGINEERING." СІЛЬСЬКОГОСПОДАРСЬКІ МАШИНИ, no. 48 (October 31, 2022): 7–14. http://dx.doi.org/10.36910/acm.vi48.778.

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Vibration technology is widely used in mechanical engineering, construction, road building and different sectors of the manufacturing. In agriculture, it is used for dosing feed, cleaning and sorting seeds, digging up root crops, planting potatoes, and transporting bulk materials. Vibrations make the mechanical system more stable in relation to external force disturbances and do not change the technological properties of materials during its movement along the working surfaces. Also, the material passing through the vibration zone is not damaged. A wide range of frequency and amplitude of vibr

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2

Reiterer, Michael, and Joachim Muik. "Application of Parametric Forced Tuned Solid Ball Dampers for Vibration Control of Engineering Structures." Applied Sciences 13, no. 12 (2023): 7283. http://dx.doi.org/10.3390/app13127283.

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In this paper, parametric forced tuned solid ball dampers (TSBD) are considered for vibration control of engineering structures in an untypical way. The special feature of the presented investigation is to evaluate the potential application of parametric forcing of the rolling cylindrical or spherical body in the runway for reducing the vertical vibrations of a vibration-prone main system. Typically, tuned solid ball dampers are applied to structures that are prone to horizontal vibrations only. The coupled nonlinear differential equations of motion are derived and the phenomenon of parametric

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3

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 (2012): 2015–27. http://dx.doi.org/10.1177/0954406212439515.

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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

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4

Andrew, Zivai Borerwe. "Drill string vibrational analysis and parametric optimization for a portable water well rig development." i-manager's Journal on Mechanical Engineering 14, no. 2 (2024): 8. http://dx.doi.org/10.26634/jme.14.2.21011.

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The vibration of a drill string is a key topic of study in drilling and mining engineering. Excessive Drill String (DS) vibrations can lead to early failure of bits due to fatigue, Drill Pipe (DP) fractures, bearing damage, and a decrease in the Rate of Penetration (ROP). This occurs when the drill string rotates at its natural frequency, which is known as resonance. A modal and harmonic vibrational analysis of a drill string up to 60-65 meters long was conducted in a vertical water well through parametric studies. This project investigates the vibration of a drill string under various paramet

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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 (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 vi

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6

Chen, Xiaojuan, Mengyang Han, Xiaolong Yang, and Bo Wang. "Stability Analysis of Parametric Vibration in Overhead Conductors Under Time-Varying Tension." Symmetry 17, no. 3 (2025): 464. https://doi.org/10.3390/sym17030464.

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This paper investigates the impact of dynamic tension induced by adjacent span vibrations on the vibrational characteristics of overhead conductors. A simplified model is established, considering the overhead conductor with a symmetric structure as a simply supported flexible long wire subjected to axial time-varying tension at one end. The transverse motion partial differential equation of the overhead conductor under time-varying tension is formulated and discretized into a parametric vibration equation with time-varying coefficients using the Galerkin method. Based on Floquet theory, the st

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7

Frumen, A. "Imitative simulation of parametric beam vibrations." Transactions of the Krylov State Research Centre S-I, no. 2 (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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Zettel, Sebastian, René Winter, Marco Norambuena, and Marc Böswald. "Numerical investigation of power flow input into a fuselage due to jet engine induced wing vibrations." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 265, no. 5 (2023): 2288–97. http://dx.doi.org/10.3397/in_2022_0327.

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The wings of passenger aircrafts are constantly vibrating due to various loads. There are transient low-frequency vibrations caused by gust loads. But there are also higher-frequency vibrations caused by the vibration load of the jet engines. The higher-frequency stationary vibrations of the wing are partially introduced as a power flow into the fuselage and radiated there as sound, which is then perceived as noise. In this work, which is part of the EU CleanSky2 framework, this chain of effects is being investigated in more detail aiming for the quantification of the vibrational power flow in

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9

Pešek, Ludek, Petr Šulc, and Ladislav Půst. "Numerical Study of Forced Vibration Suppression by Parametric Anti-Resonance." Archives of Acoustics 41, no. 3 (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 n

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10

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 (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 affe

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11

Poshyvach, Dmytro, and Olga Lukianchenko. "Research of stochastic stability of constructions parametric vibrations by the Monte-Carlo method." Strength of Materials and Theory of Structures, no. 112 (April 17, 2024): 327–31. http://dx.doi.org/10.32347/2410-2547.2024.112.327-331.

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The stochastic parametric vibrations of the elastic systems behave to the statistical dynamics section of the nonlinear systems. Under stochastic parametric influence the vibrations of the elastic systems, which is a random process more frequent are not stabilized, but their amplitudes are fading or unlimited are growing. Therefore important is stability of stochastic vibrations, which can be examined as stability by probability, on average or by the moment functions of different orders. The mathematical models which describe the stochastic parametric vibrations of the elastic systems are buil

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12

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 carri

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13

Razali, Muhammad Hanif, Khairul Affendy Md Nor, Mohd Azan Mohammed Sapardi, Nor Hidayati Diyana Nordin, Fadhlan Hafizhelmi Kamaru Zaman, and Azlee Zabidi. "Parametric Optimization For Power Generation Of Flow Induced Vibration Energy Harvester." CFD Letters 17, no. 3 (2024): 109–23. http://dx.doi.org/10.37934/cfdl.17.3.109123.

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Flow-induced vibration occurs when the motion of fluids through a structure induces oscillations or vibrations in the structure. An effective flow-induced vibration energy harvester has substantial challenges due to the river's irregular velocity flows. It is not practicable to use one parameter for all velocities. This work presents the testing of a flow-induced vibrational energy harvester in laminar flow using two circular cylinders positioned in tandem within an open-channel flow. A CFD simulation using COMSOL Multiphysics was performed for the proposed parameter. A comprehensive simulatio

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14

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 (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 mu

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15

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 (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 di

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16

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 control

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17

Chen, Yung-Hsiang, and Ines M. Bertran. "Parametric Study of Ship-Hull Vibrations." International Shipbuilding Progress 37, no. 410 (1990): 151–63. https://doi.org/10.3233/isp-1990-3741002.

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A parametric study of the vertical free vibrations of a ship hull is presented. All the effects of the rotary inertia of mass, shear distortion, thrust force, shear lag, and various damping components are taken into account in analysis. The importance of these parameters to ship-hull vibrations is discussed. The method of calculating the overall damping ratios is included and particularly emphasized.

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18

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 (2021): 51–63. http://dx.doi.org/10.51889/2021-3.1728-7901.06.

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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 variabl

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19

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 tran

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20

Lee, Simok, and Byeongil Kim. "Enhanced Design of Sunroof System through Parametric Study Considering Vibration Phenomenon during Vehicle Operation." Applied Sciences 14, no. 7 (2024): 3085. http://dx.doi.org/10.3390/app14073085.

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Recently, performance development related to noise, vibration, and harshness in sunroof systems has attracted significant research attention. However, research thus far has been limited to analytical and experimental studies relating to structural improvement of the individual parts, rather than considering vehicle driving conditions. This study compared the experimental data from actual driving tests with simulation results to examine sunroof vibration characteristics under realistic conditions. Firstly, the characteristics of sunroof vibrations were investigated theoretically in order to der

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21

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 (2000): 2351–63. http://dx.doi.org/10.1098/rspa.2000.0615.

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22

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

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23

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

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24

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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25

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 (2012): 203902. http://dx.doi.org/10.1063/1.4714693.

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26

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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27

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 (1992): 10–18. http://dx.doi.org/10.15625/0866-7136/10239.

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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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28

Borerwe, Andrew Zivai, Portia Mupfumira, and Emmanuel Ndala. "Effects of drill pipe length and weight on bit on lateral and longitudinal vibrations." i-manager's Journal on Mechanical Engineering 13, no. 4 (2023): 1. http://dx.doi.org/10.26634/jme.13.4.20076.

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The vibration of a drill string is the topic under study in drilling and mining engineering. Drill string vibrations cause early failure of bits due to fatigue, drill pipe fracture and bearings damage. A modal and harmonic vibrational analysis of a drill string up to 60-65m long was done in a vertical water well by carrying out parametric studies. This paper investigates vibration of a drill string under longitudinal and mainly lateral which is the most dominant under the action of parameters such as drill pipe lengths and weight on bit. Finite element modelling of a drill string was made in A

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29

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 abso

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30

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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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 p

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31

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 (2012): 2000–2014. http://dx.doi.org/10.1177/0954406212447485.

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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

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32

Beltran-Carbajal, Francisco, Juan Eduardo Esquivel-Cruz, Hugo Yañez-Badillo, Ivan de Jesus Rivas-Cambero, David Sotelo, and Carlos Sotelo. "Multiple-Frequency Force Estimation of Controlled Vibrating Systems with Generalized Nonlinear Stiffness." Mathematics 11, no. 13 (2023): 2838. http://dx.doi.org/10.3390/math11132838.

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An on-line estimation technique of multiple-frequency oscillatory forces combined with the Hilbert–Huang transform for an important class of actively controlled, forced vibrating mechanical systems with nonlinear stiffness forces is proposed. Polynomial parametric nonlinearities are incorporated in the significantly perturbed vibrating system dynamics. This class of nonlinear vibrating systems can exhibit harmful large-amplitude vibrations, which are inadmissible in many engineering applications. Disturbing oscillations can be also provoked due to interactions of the primary mechanical system

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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 red

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34

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 (1996): 41–47. http://dx.doi.org/10.1115/1.2889633.

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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

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35

Peeters, Cédric, Andreas Jakobsson, Jérôme Antoni, and Jan Helsen. "Improved Time-Frequency Representation for Non-stationary Vibrations of Slow Rotating Machinery." PHM Society European Conference 7, no. 1 (2022): 401–9. http://dx.doi.org/10.36001/phme.2022.v7i1.3363.

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The short-time Fourier transform (STFT) is a staple analysis tool for vibration signal processing due to it being a robust, non-parametric, and computationally efficient technique to analyze non-stationary signals. However, despite these beneficial properties, the STFT suffers from high variance, high sidelobes, and a low resolution. This paper investigates an alternative non-parametric method, namely the sliding-window iterative adaptive approach, to use for time-frequency representations of non-stationary vibrations. This method reduces the sidelobe levels and allows for high resolution esti

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

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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 wa

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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 (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

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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 (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 defici

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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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40

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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41

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

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42

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

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43

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

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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 (2017): 316–21. http://dx.doi.org/10.1007/s10556-017-0340-8.

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

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

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

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Razov, Igor, Vladimir Sokolov, Andrei Dmitriev, and Julia Ogorodnova. "Parametric vibrations of the underground oil pipeline." E3S Web of Conferences 363 (2022): 01038. http://dx.doi.org/10.1051/e3sconf/202236301038.

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This paper is devoted to obtaining a solution to the problem of parametric vibrations and dynamic stability of thin-walled underground oil pipelines, taking into account the effect of a damper. An equation has been obtained that allows estimating the dynamic stability of underground oil pipelines, which consists in constructing regions on the plane of the parameters ωmn, ω0 and the longitudinal force parameter P, as well as the internal pressure p0, where ωmn is the frequency of free vibrations, ω0 is the excitation frequency. The assessment of the dynamic stability of the oil pipeline section

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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 (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

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Lyratzakis, Alexandros, Yiannis Tsompanakis, and Prodromos N. Psarropoulos. "Protection of Buried Pipelines from High-Speed Train Vibrations with Expanded Polystyrene Geofoam." Applied Sciences 14, no. 3 (2024): 1087. http://dx.doi.org/10.3390/app14031087.

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High-speed railway (HSR) lines commonly operate over hundreds of kilometers, crossing several other large-scale infrastructures, such as highways, tunnels, bridges, and pipelines. This fact makes adjacent infrastructure more vulnerable to high-speed train (HST)-induced vibrations; thus, their potential distress should be carefully examined. The current study aims to assess the level of traffic-induced vibrations on the surface of buried pipelines vertically crossing under an HSR line. Firstly, the necessity to reduce high vibration levels is highlighted, utilizing a three-dimensional (3D) fini

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