Vibrations of axially moving viscoelastic plate with parabolically varying thickness

Zhou, Yin-Feng; Wang, Zhongmin

doi:10.1016/j.jsv.2008.02.040

Cited by 46 publications

(7 citation statements)

References 8 publications

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“…Now Equations (16) and (17) consists the values of T and V so, put these values into Equation 15, we obtain…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…Grigorenko et al [15] used spline functions to solve boundary-value problems for laminated orthotropic trapezoidal plates of variable thickness. Feng and Min [16] worked on the vibrations of axially moving visco-elastic plate with parabolically varying thickness. Gupta and Sharma [17] evaluated the forced axisymmetric response of an annular plate of parabolically varying thickness.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Study of Thermally Induced Vibration of Non-Homogeneous Trapezoidal Plate with Parabolically Thickness Variation in Both Directions

Kavita¹,

Kumar²,

Sharma³

2016

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The present analysis demonstrates the thermal effect on vibrations of a symmetric, non-homogeneous trapezoidal plate with parabolically varying thickness in both directions. The variation in Young's modulus and mass density is the main cause for the occurrence of non-homogeneity in plate's material. In this consideration, density varies linearly in one direction. The governing differential equations have been derived by Rayleigh-Ritz method in order to attain fundamental frequencies. With C-S-C-S boundary condition, a two term deflection function has been considered. The effect of structural parameters such as taper constants, thermal gradient, aspect ratio and non-homogeneity constant has been investigated for first two modes of vibration. The obtained numerical results have been presented in tabular and graphical form.

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“…Now Equations (16) and (17) consists the values of T and V so, put these values into Equation 15, we obtain…”

Section: Methods Of Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study of Thermally Induced Vibration of Non-Homogeneous Trapezoidal Plate with Parabolically Thickness Variation in Both Directions

Kavita¹,

Kumar²,

Sharma³

2016

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“…1 Because of the complexity of the mathematical model of an axially moving plate, many types of numerical methods, such as the mixed Finite Element Method (FEM), modal spectral element method, and finite strip method have been used. [2][3][4][5][6][7][8] In addition, Ghayesh and Amabili reported the geometrical nonlinear dynamics of an axially moving plate based on the direct time integration method. 9 Using the pseudo-arclength continuation technique, Ghayesh et al investigated the nonlinear dynamics of the forced motion of an axially moving plate and the effect of system parameters, such as the axial speed and pretension on resonant responses.…”

Section: Introductionmentioning

confidence: 99%

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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“…Following articles is a collection of work done in this regard. Yin‐Feng and Zhong‐Min proposed axially moving viscoelastic plate with parabolic varying thickness. They confirmed that decreasing the aspect ratio of the plate leads to a decrease of the critical divergence speed in the first and second modes.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of axially moving carbon nanotube–reinforced composite plate under initial tension

Arani

Haghparast

2015

Polymer Composites

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In the present research, vibration and instability of axially moving carbon nanotube–reinforced composite (CNTRC) plate under initial tension is investigated. Single‐walled carbon nanotubes (SWCNTs) are selected as a reinforcement inside polymethyl methacrylate (PMMA) matrix. Higher order shear deformation theory (HSDT) is used because of its accuracy of polynomial functions than other plate theories. Based on extended rule of mixture, the structural properties of composite plate are taken into consideration. The equations of motion are obtained using Hamilton's principle and solved by hybrid analytical–numerical solution in different boundary conditions. Influences of various parameters such as axially moving speed, volume fraction of CNTs, pre‐tension, thickness, and aspect ratio on the vibration characteristics of moving composite plate are discussed in detail. The results indicated that the critical speed of moving composite plate is strongly dependent on the volume fraction of CNTs. Therefore, the critical speed of moving plate can be improved by adding appropriate values of CNTs. The results of this investigation can be used in design and manufacturing of marine vessels and aircrafts. POLYM. COMPOS., 38:814–822, 2017. © 2015 Society of Plastics Engineers

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Vibrations of axially moving viscoelastic plate with parabolically varying thickness

Cited by 46 publications

References 8 publications

Study of Thermally Induced Vibration of Non-Homogeneous Trapezoidal Plate with Parabolically Thickness Variation in Both Directions

Study of Thermally Induced Vibration of Non-Homogeneous Trapezoidal Plate with Parabolically Thickness Variation in Both Directions

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

Vibration analysis of axially moving carbon nanotube–reinforced composite plate under initial tension

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