DYNAMIC STABILITY OF STEPPED BEAMS UNDER MOVING LOADS

The dynamic stability of a stepped beam subjected to a moving mass is investigated in this study. The equations of motion for transverse vibrations of the beam are developed in distributed parameter and finite element forms. The impulsive parametric excitation theory is used to predict the stability...

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Bibliographic Details
Published inJournal of sound and vibration Vol. 250; no. 5; pp. 835 - 848
Main Authors ALDRAIHEM, O.J, BAZ, A
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 07.03.2002
Elsevier
Subjects
Computational techniques
Exact sciences and technology
Finite-element and galerkin methods
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
Parametric excitation
Equation of motion
Random excitation
Numerical method
Step
Periodic structure
Finite element method
Variable section
Stability boundary
Moving load
Dynamic stability
Internal structure
Variable section beam
Variational calculus
Distributed parameter system
Moving body
Random vibration
Bending vibration
Structural analysis
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ISSN0022-460X
1095-8568
DOI10.1006/jsvi.2001.3976

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Summary:The dynamic stability of a stepped beam subjected to a moving mass is investigated in this study. The equations of motion for transverse vibrations of the beam are developed in distributed parameter and finite element forms. The impulsive parametric excitation theory is used to predict the stability of the beam when subjected to periodic parametric excitations. The accuracy of the theory is verified by obtaining the stability boundaries of a simply supported beam and comparing the results with the results reported in the literature. Stability maps are then obtained for clamped–free uniform beams as well as clamped–free stepped beams. It is found that the stability of certain beam modes can be improved by providing the beam with appropriately spaced steps. It is shown that better stability characteristics can be obtained by using piezoelectric actuators. Stability analyses of beams with periodic piezoelectric and/or viscoelastic steps are a natural extension of the present work.
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.2001.3976