Dynamic Stability of Stepped Beams Under Moving Loads

Aldraihem, Osama J.; Baz, A.

doi:10.1006/jsvi.2001.3976

Cited by 24 publications

(10 citation statements)

References 20 publications

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“…Recently, the stability of periodic structures witb moving loads has triggered a great deal of attention. Aldraihem and Baz studied the dynamic stability of periodic stepped beams under moving loads using tbe finite element metbod [17,18], and Ruzzene and Baz investigated the steady-state response of axisymmetric shells with periodic stiffeners [19]. Using the band gaps to control the propagation of vibration tbrough a pipe conveying fluid has been carried out extensively [20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Stability of Periodic Pipes Conveying Fluid

Paı̈doussis

Shen

et al. 2013

Journal of Applied Mechanics

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In this paper, the stability of a periodic cantilevered pipe conveying fluid is studied theoretically by means of a novel transfer matrix method. This method is first validated by comparing the results to tiwse available in tJie literature for a uniform pipe, showing that it is capable of high accuracy and displaying good convergence characteristics. Then, the stability of periodic pipes is investigated, with geometric, material-properties periodicity, and a combination of the two, showing that a considerable stabilizing effect may be achieved over different ranges of the mass parameter ß (ß = mf/{mf -\-nip), where mf and mp are the fluid and pipe masses per unit length). The effect of other different system parameters is also probed.

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Section: Introductionmentioning

confidence: 99%

Dynamic Stability of Periodic Pipes Conveying Fluid

Paı̈doussis

Shen

et al. 2013

Journal of Applied Mechanics

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“…OJ Aldraihen and A Baz [1] investigated the dynamic stability of stepped beams carrying masses. The impulsive parametric excitation theory is used to predict the stability of the beam when subjected to periodic parametric excitations and obtaining the stability boundaries of a simply supported beam.…”

Section: Introductionmentioning

confidence: 99%

The stability analysis of the machine drive system

Zhang

Wang

2012

Proceedings of the 10th World Congress on Intelligent Control and Automation

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In consideration of the bearing stiffness, the contact deformation between the ball screw and the worktable, and the contact deformation between the worktable and the guide, lateral, longitudinal and torsional vibration of the preload screw and vibration of the worktable are studied. Dynamic model of the ball screw drive system of machines is established using Lagrange equation. The model is analyzed by the mode superposition and Runge-Kutta method and the stability boundaries are plotted. Effects of system's parameters on stability of the ball-screw drive system are discussed. The present work supplies a base for designing the drive system.

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“…Mackertich [28] used the same approach in the case of a Timoshenko beam. Using the impulsive parametric excitation theory, Aldraihem and Baz [29] investigated dynamic stability of a stepped beam subjected to periodic parametric excitations caused by moving mass crossing. Verichev and Metrikine [30] studied a similar stability problem for a beam lying on a periodically inhomogeneous continuous foundation using perturbation analysis.…”

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confidence: 99%

On the parametric excitation of a Timoshenko beam due to intermittent passage of moving masses: instability and resonance analysis

2014

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A Timoshenko beam excited by a sequence of identical moving masses is studied as a time-varying problem. The effects of centripetal and Coriolis accelerations besides the vertical component of acceleration of the moving mass are considered. Using Galerkin procedure, the partial differential equations of motion which are derived by Hamilton's principle are transformed to ordinary differential equations. The incremental harmonic balance method is implemented to determine the boundary curve of instability and other companion curves of resonance in the parameter plane. A new approach for identifying the conditions of resonance is investigated by presenting an intuitive definition of resonance for time-varying systems. The influence of employing different deformation theories on the critical parameter values of stability and resonance curves is studied. The validity of the instability and resonance curves is examined by numerical simulations and also ascertained through comparing with those reported in the literature.

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Dynamic Stability of Stepped Beams Under Moving Loads

Cited by 24 publications

References 20 publications

Dynamic Stability of Periodic Pipes Conveying Fluid

Dynamic Stability of Periodic Pipes Conveying Fluid

The stability analysis of the machine drive system

On the parametric excitation of a Timoshenko beam due to intermittent passage of moving masses: instability and resonance analysis

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