Prediction capabilities of classical and shear deformable beam models excited by a moving mass

Kiani, Keivan; Nikkhoo, Ali; Mehri, B.

doi:10.1016/j.jsv.2008.08.010

Cited by 65 publications

(21 citation statements)

References 17 publications

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“…Kiani et al [3] investigated the maximum deflection and bending moment of the beams under various boundary conditions due to a moving mass by employing Hamilton's principle and using Euler-Bernoulli, Timoshenko, and third-order beam theories.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of Ladle Crane due to a Moving Trolley

Xin

et al. 2018

Mathematical Problems in Engineering

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The structural vibration of the main beam of a crane causes fatigue damage and discomfort to the driver. The swing of the payload has an effect on positioning precision, especially for a ladle crane, and this directly affects production safety. To study the influence of system parameters on the vibration of a crane's main beam and the angle of the payload, a system consisting of the main beam, trolley, payload, and cabin was constructed. A rigid-flexible coupling dynamic model of a moving trolley with a hanging payload that moves on the flexible main beam with a concentrated cabin mass is established, and the direct integration method is used to solve the nonlinear differential equations of system vibration, which are obtained through Lagrange's equation. Then, the time domain responses of the flexible main beam, payload angle, and cabin vibration are obtained. The influences of the trolley running speed, quality of the payload, and quality and position of the cabin on the vibration of the main beam and payload angle are analyzed. The results indicate that the amplitude of the main beam is directly proportional to the quality of the trolley, payload, and cab; the position of the cabin is closer to the mid-span; the amplitude of the main beam is larger; the structural damping has some influence on the vibration of the main beam; and the swing angle of the payload is related to the maximum running speed of the trolley, acceleration time, and length of the wire rope. In order to reduce the vibration of the main beam and cabin, the connection stiffness of the cabin should be ensured during installation.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of Ladle Crane due to a Moving Trolley

Xin

et al. 2018

Mathematical Problems in Engineering

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“…For more accurate prediction of elasto-dynamic fields of nanostructures, higher-order shear deformable beam theories [29,38,[42][43][44] could be implemented in the context of nonlocal elasticity theory of Eringen. Additionally, vibrations of ensembles of SWCNTs or even multiwalled carbon nanotubes conveying fluid flow in the presence of longitudinal magnetic fields have not been explored yet.…”

Section: Discussionmentioning

confidence: 99%

“…To solve the set of ordinary differential equations of Eq. (12) in the time domain, we employ generalized Newmark-β method [42].…”

Section: K Kianimentioning

confidence: 99%

Nonlocal Timoshenko Beam for Vibrations of Magnetically Affected Inclined Single-Walled Carbon Nanotubes as Nanofluidic Conveyors

Kiani

2017

Acta Phys. Pol. A

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This work displays both longitudinal and transverse vibrations of magnetically affected inclined single-walled carbon nanotubes for conveying fluid flow. By employing an equivalent continuum structure on the basis of the nonlocal Timoshenko beam model as well as plug-like model for the nanofluidic flow inside the pore, the nonlocal governing equations are obtained accounting for nonlocality, frictionless nature of the inside wall, the Knudsen number, and full longitudinal and transverse interactions of the fluid flow with the single-walled carbon nanotubes. By implementing Galerkin-based assumed mode method, the equations of motion are discretized appropriately and then solved for the unknown dynamical deformation fields. The roles of nanofluidic flow velocity, small-scale parameter, inclination angle of single-walled carbon nanotube, and magnetic field strength on maximum values of longitudinal and transverse displacements are explained and discussed. The results show that the maximum dynamic deflection of the inclined nanotube would lessen by increase of the magnetic field strength. This fact is also more apparent for higher levels of fluid flow velocity. Additionally, variation of the longitudinal magnetic field has a trivial influence on the variation of longitudinal displacement. The predicted results reveal that application of the longitudinal magnetic field could be used as an efficient methodology to reduce the lateral vibrations of single-walled carbon nanotubes as nanofluidic conveyors.

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“…As a general rule, by increasing the mass weight and velocity of the moving force, it is like the base structural natural frequency is virtually decreasing because of the inertial effects. Therefore, the response of the structure under a moving mass increases in most of the cases where the base plate behaves as a softer structure in comparison with the moving load excitation (this fact is not true for the CFFF boundary condition (Kiani et al (2009a)). The effects of the plate aspect ratio parameter have been recently assessed by Nikkhoo and Rofooei (2012) while only the case of a SSSS plate has been focused.…”

Section: Parametric Studiesmentioning

confidence: 99%

Inspection of a Rectangular Plate Dynamics Under a Moving Mass With Varying Velocity Utilizing BCOPs

Niaz

Nikkhoo

2015

Lat. Am. j. solids struct.

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This research is dedicated to the inspection of a thin rectangular plate dynamic behavior traversed by an accelerated moving mass. BCOPs (boundary characteristic orthogonal polynomials) are utilized to treat the constitutive equation of plate vibration for different boundary conditions. Comprehensive parametric surveys are carried out to shed light on the effects of the plate fixities and aspect ratios as well as the moving mass weight, velocity and acceleration on the plate DAF (dynamic amplification factor). The convenience of adopting the presented solution dealing with various plate fixity cases makes it a superior approach comparing with eigenfunction expansion method.

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Prediction capabilities of classical and shear deformable beam models excited by a moving mass

Cited by 65 publications

References 17 publications

Nonlinear Vibration of Ladle Crane due to a Moving Trolley

Nonlinear Vibration of Ladle Crane due to a Moving Trolley

Nonlocal Timoshenko Beam for Vibrations of Magnetically Affected Inclined Single-Walled Carbon Nanotubes as Nanofluidic Conveyors

Inspection of a Rectangular Plate Dynamics Under a Moving Mass With Varying Velocity Utilizing BCOPs

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