Analysis of Critical Velocities for an Infinite Timoshenko Beam Resting on an Elastic Foundation Subjected to a Harmonic Moving Load
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Critical velocities are investigated for an infinite Timoshenko beam resting on a Winkler-type elastic foundation subjected to a harmonic moving load.
The determination of critical velocities ultimately comes down to discrimination of the existence of multiple real roots of an algebraic equation with real coefficients of the 4th degree, which can be solved by employing Descartes sign method and complete discrimination system for polynomials.
Numerical calculations for the European high-speed rail show that there are at most four critical velocities for an infinite Timoshenko beam, which is very different from those gained by others.
Furthermore, the shear wave velocity must be the critical velocity, but the longitudinal wave velocity is not possible under certain conditions.
Further numerical simulations indicate that all critical velocities are limited to be less than the longitudinal wave velocity no matter how large the foundation stiffness is or how high the loading frequency is.
Additionally, our study suggests that the maximum value of one group velocity of waves in Timoshenko beam should be one “dangerous” velocity for the moving load in launching process, which has never been referred to in previous work.
American Psychological Association (APA)
Zhen, Bin& Luo, Wei& Xu, Jian. 2014. Analysis of Critical Velocities for an Infinite Timoshenko Beam Resting on an Elastic Foundation Subjected to a Harmonic Moving Load. Shock and Vibration،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1048016
Modern Language Association (MLA)
Zhen, Bin…[et al.]. Analysis of Critical Velocities for an Infinite Timoshenko Beam Resting on an Elastic Foundation Subjected to a Harmonic Moving Load. Shock and Vibration No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1048016
American Medical Association (AMA)
Zhen, Bin& Luo, Wei& Xu, Jian. Analysis of Critical Velocities for an Infinite Timoshenko Beam Resting on an Elastic Foundation Subjected to a Harmonic Moving Load. Shock and Vibration. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1048016
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048016