Experimental study of the nonlinear characteristics of an axially moving string

Xia, Chunlin; Wu, Yicheng; Lu, Qianqian

doi:10.1177/1077546314520832

Cited by 7 publications

(11 citation statements)

References 51 publications

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“…Accordingly, mathematical modeling and vibrational analysis of these applicable structures have attracted much attention in recent decades [3][4][5]. In this field, a limited number of 2 of 23 experimental studies have been performed and compared with the theoretical analyses [6,7]. These investigations revealed that engineers could appropriately trust the results of computer simulations and mathematical modeling techniques [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

et al. 2020

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In this article, size-dependent vibrations and the stability of moving viscoelastic axially functionally graded (AFG) nanobeams were investigated numerically and analytically, aiming at the stability enhancement of translating nanosystems. Additionally, a parametric investigation is presented to elucidate the influence of various key factors such as axial gradation of the material, viscosity coefficient, and nonlocal parameter on the stability boundaries of the system. Material characteristics of the system vary smoothly along the axial direction based on a power-law distribution function. Laplace transformation in conjunction with the Galerkin discretization scheme was implemented to obtain the natural frequencies, dynamical configuration, divergence, and flutter instability thresholds of the system. Furthermore, the critical velocity of the system was evaluated analytically. Stability maps of the system were examined, and it can be concluded that the nonlocal effect in the system can be significantly dampened by fine-tuning of axial material distribution. It was demonstrated that AFG materials can profoundly enhance the stability and dynamical response of axially moving nanosystems in comparison to homogeneous materials. The results indicate that for low and high values of the nonlocal parameter, the power index plays an opposite role in the dynamical behavior of the system. Meanwhile, it was shown that the qualitative stability of axially moving nanobeams depends on the effect of viscoelastic properties in the system, while axial grading of material has a significant role in determining the critical velocity and natural frequencies of the system.

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Section: Introductionmentioning

confidence: 99%

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

et al. 2020

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“…Even though it requires more computation time, EEMD, in which finite-amplitude white noises are added to the series to be processed and ensemble means as decomposition results, was chosen for this analysis to avoid possible inter-wave modulations and to suppress possible intermittence. 32,33,36 3.…”

Section: Time-frequency Analysismentioning

confidence: 99%

“…The detailed calculation procedures can be found in. 32,33,35,36 Time-frequency features such as HSP, MSP, and energized IMFs and IFs were extracted.…”

Section: Main Component Extractionmentioning

confidence: 99%

“…[29][30][31][32][33][34][35] The authors presented experimental results on the vibration characteristics of axially moving strings. 32,33 The vibrating characteristics of a moving plate were demonstrated by using the Hilbert-Huang transform (HHT) method. 34 To quantitatively express the motion (including pitch and roll) of a moving plate, three capacitive sensors were used and a motion indicator was introduced.…”

Section: Introductionmentioning

confidence: 99%

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Vibration Analysis of an Axially Moving Plate Based on Sound Time-Frequency Analysis

Lu¹,

Shao²,

Wu³

et al. 2018

IJAV

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In some types of non-contact measuring systems, vibrating motion has negative effects on accuracy. Therefore, there is a need to analyze and monitor the motion state of a moving part using a low-cost scheme. This study focused on the vibration analysis and monitoring of a poly-crystalline silicon solar wafer carried by a pair of parallel moving strings, separated by a distance. Based on the sound data series picked up by a low-cost microphone and using a time-frequency analysis method, namely, the Hilbert-Huang transform (HHT) method, the low frequency features of the moving wafer could be determined quantitatively. The results showed that the motion of the moving wafer was sensitive to speed and string tension. By comparison, the average marginal spectrum should be treated as the basis for quantitative vibration monitoring, especially for a system with a strict requirement in terms of motion smoothness.

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“…Additional effects on these processes can be rendered by axial forces in the string [10,17]. In this case, the most influential axial force can be resolved into a vertical force or weight on bit (WOB) and a near-zero transverse component called the bit imbalance force.…”

Section: Frequency Analysis Of Drill Bit Whirlings On Uneven Bottoms mentioning

confidence: 99%

Frequency Analysis of Drill Bit Whirlings on Uneven Bottoms of Deep Bore-Holes

Gulyayev¹,

Glazunov²,

Vashchilina³

2017

JMSS

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An incipient stage of a rotating drill string bit whirl motion proceeding on a well bottom surface is studied on the basis of kinematic (nonholonomic) models of mechanic interaction between the contacting uneven bodies. The bit is considered to be an absolutely rigid spherical or ellipsoidal body, the well bottom surface can be plane or spherical. It is assumed that the system coaxiality is disturbed through small initial curvature of the drill string, imperfections of the bit and bore-well geometry or the system mass debalance. Linearized equations of the bit whirling are deducted, the frequencies of periodic motions are calculated, and their modes are constructed for different geometric parameters of the spherical and ellipsoidal bits. It is demonstrated that, depending on the system properties, the bit motion can acquire the regimes of forward and backward whirlings or to transit to the state of stationary spinning relative to an immovable center of velocities. The most unfavorable and atypical whirling modes are characteristic for oblate ellipsoidal bits and curvilinear surfaces of the well bottom.

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Experimental study of the nonlinear characteristics of an axially moving string

Cited by 7 publications

References 51 publications

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

Vibration Analysis of an Axially Moving Plate Based on Sound Time-Frequency Analysis

Frequency Analysis of Drill Bit Whirlings on Uneven Bottoms of Deep Bore-Holes

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