Dynamic Behaviour under Moving Distributed Masses of Nonuniform Rayleigh Beam with General Boundary Conditions
Joint Authors
Oni, Sunday Tunbosun
Andi, Emem Ayankop
Source
Chinese Journal of Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper investigates the flexural vibration of a finite nonuniform Rayleigh beam resting on an elastic foundation and under travelling distributed loads.
For the solution of this problem, in the first instance, the generalized Galerkin method was used.
The resulting Galerkin’s equations were then simplified using the modified asymptotic method of Struble.
The simplified second-order ordinary differential equation was then solved using the method of integral transformation.
The closed form solution obtained was analyzed and results show that, an increase in the values of foundation moduli K and rotatory inertia correction factor R0 reduces the response amplitudes of both the clamped-clamped nonuniform Rayleigh beam and the clamped-free nonuniform Rayleigh beam.
Also for the same natural frequency, the critical speed for the moving distributed mass problem is smaller than that for the moving distributed force problem.
Hence resonance is reached earlier in the former.
Furthermore, resonance conditions for the dynamical system are attained significantly by both R0 and K for the illustrative end conditions considered.
American Psychological Association (APA)
Andi, Emem Ayankop& Oni, Sunday Tunbosun. 2014. Dynamic Behaviour under Moving Distributed Masses of Nonuniform Rayleigh Beam with General Boundary Conditions. Chinese Journal of Mathematics،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-481251
Modern Language Association (MLA)
Andi, Emem Ayankop& Oni, Sunday Tunbosun. Dynamic Behaviour under Moving Distributed Masses of Nonuniform Rayleigh Beam with General Boundary Conditions. Chinese Journal of Mathematics No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-481251
American Medical Association (AMA)
Andi, Emem Ayankop& Oni, Sunday Tunbosun. Dynamic Behaviour under Moving Distributed Masses of Nonuniform Rayleigh Beam with General Boundary Conditions. Chinese Journal of Mathematics. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-481251
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481251