Transverse Vibration of an Axially Accelerating String

Pakdemi̇rli̇, Mehmet; Ulsoy, A. Galip; Ceranoglu, A. N.

doi:10.1006/jsvi.1994.1012

Cited by 161 publications

(75 citation statements)

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“…At equation (3); represents pre-tension factor in the rope, modulus of elasticity of the rope, Δ proportional elongation, is the total deflection in the axial direction [3]. Proportional elongation;…”

Section: Fig 1 Coordinates and Geometrymentioning

confidence: 99%

“…Wickert and Mote have worked to determine the modal analysis, eigenvalue and natural frequency of the system with free vibration made by a rope with a pre-tension motion in the horizontal direction [1][2]. Pakdemirli and his colleagues have been investigating the acceleration of the rope movements [3]. Huang and Mote have worked on the damping of similar structures, while Ying and Tan have studied the active vibration control of ropes [4][5].…”

Section: Introductionmentioning

confidence: 99%

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Parameters That Effect Diamond Wire Cutting Process

Gül¹

2017

IJRASET

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In today's decorative stone industry wire saws are frequently used due to flexibility, low vibration and noise characteristics with high precision The main problem in practice, wire cutting machine; the life of the rope and breaking with the inability of the time foreseen.A stone cutting machine which is composed of steel rope, cutting tool and drive pulley; mechanism natural frequency was examined by different design parameters. The forced vibration character trying to determine to occur by cutting tool contact with the stone, the dynamic loads from the driving the ropes have been identified. Cutting speed and cutting force In performed analysis is considered as the basic design criteria. Thus, the rope-cutter mechanism design parameters selection, which will improve the of cutting conditions and are working in the direction to increase the operating life.

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Section: Fig 1 Coordinates and Geometrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Parameters That Effect Diamond Wire Cutting Process

Gül¹

2017

IJRASET

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“…In many cases, due to initial, parametric, and external excitations, the generation of unwanted transverse vibrations may limit their applications. Therefore, the dynamic behaviors of such devices have been widely investigated by numerous scholars for the past decades and are still of interesting today [1][2][3][4][5][6][7][8][9][10]. Moreover, according to the demand of the actual engineering problems, some researchers have applied their theoretical results to design and optimize the axially moving structures [11,12].…”

Section: Introductionmentioning

confidence: 99%

Analytical Analysis on Nonlinear Parametric Vibration of an Axially Moving String with Fractional Viscoelastic Damping

Li¹,

Tang²

2017

Mathematical Problems in Engineering

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The nonlinear parametric vibration of an axially moving string made by rubber-like materials is studied in the paper. The fractional viscoelastic model is used to describe the damping of the string. Then, a new nonlinear fractional mathematical model governing transverse motion of the string is derived based on Newton's second law, the Euler beam theory, and the Lagrangian strain. Taking into consideration the fractional calculus law of Riemann-Liouville form, the principal parametric resonance is analytically investigated via applying the direct multiscale method. Numerical results are presented to show the influences of the fractional order, the stiffness constant, the viscosity coefficient, and the axial-speed fluctuation amplitude on steady-state responses. It is noticeable that the amplitudes and existing intervals of steady-state responses predicted by Kirchhoff 's fractional material model are much larger than those predicted by Mote's fractional material model.

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“…In literature and due to above listed industrial activities, the linear and nonlinear dynamic behaviors of axially moving plates have been studied during two past decades (Hatami et al 2009) . Pakdemirli and Batan (1993) and Pakdemirli et al (1994) investigated the stability of an axially accelerating string numerically. Fung et al (1997) studied the transient vibrations of an axially moving viscoelastic string.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Material Property on the Critical Velocity of Randomly Excited Nonlinear Axially Travelling Functionally Graded Plates

Abedi

Asnafi

Beheshaein

2016

Lat. Am. j. solids struct.

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In this paper, the critical axial speeds of three types of sigmoid, power law and exponential law functionally graded plates for both isotropic and orthotropic cases are obtained via a completely analytic method. The plates are subjected to lateral white noise excitation and show evidence of large deformations. Due to randomness, the conventional deterministic methods fail and a statistical approach must be selected. Here, the probability density function is evaluated analytically for prescribed plates and used to investigate the critical axial velocity of them. Specifically the effect of inplane forces, mean value of lateral load and the material property on the critical axial speed are studied and discussed for both isotropic and orthotropic functionally graded plates. Since the governing equation is transformed to a non dimensional format, the results can be used for a wide range of plate dimensions. It is shown that the material heterogeneity palys an essential and significant role in increasing or decreasing the critical speed of both isotropic and orthotropic functionally graded plates.

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Transverse Vibration of an Axially Accelerating String

Cited by 161 publications

References 0 publications

Parameters That Effect Diamond Wire Cutting Process

Parameters That Effect Diamond Wire Cutting Process

Analytical Analysis on Nonlinear Parametric Vibration of an Axially Moving String with Fractional Viscoelastic Damping

The Effect of Material Property on the Critical Velocity of Randomly Excited Nonlinear Axially Travelling Functionally Graded Plates

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