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Random vibration of a non-linear beam subjected to a moving load: A finite element method analysis
Random vibration of a non-linear beam subjected to a moving load: A finite element method analysis
- Source :
- Journal of Sound and Vibration. 122:317-329
- Publication Year :
- 1988
- Publisher :
- Elsevier BV, 1988.
-
Abstract
- This paper is concerned with the random vibration of non-linear beams with variable sectional areas subjected to a moving vehicle load. When the track on the beam is assumed to have such irregularities, the dynamic deflections of the beams as well as the moving vehicle vary in a random fashion. The irregularity of the beam in the forward direction of the vehicle is assumed to be a Gaussian random process, and is expressed by a first order linear differential equation with white noise excitation. The longitudinal and transverse deflections of the beam are formulated by using the Galerkin finite element method, and the time evolutions of the means and covariances of deflections of the beam as well as the vertical deflection of the vehicle are computed by using the linearization technique and the implicit direct integration method. Numerical results are presented to compute the dynamic deflections with the forward velocity of the vehicle as a parameter.
- Subjects :
- Engineering
Acoustics and Ultrasonics
business.industry
Mechanical Engineering
Mathematical analysis
Moving load
Structural engineering
Condensed Matter Physics
Finite element method
Vibration
Mechanics of Materials
Deflection (engineering)
Linearization
Physics::Accelerator Physics
Random vibration
Direct integration of a beam
business
Beam (structure)
Subjects
Details
- ISSN :
- 0022460X
- Volume :
- 122
- Database :
- OpenAIRE
- Journal :
- Journal of Sound and Vibration
- Accession number :
- edsair.doi...........7d33a1f6d749422f77e2da969727b50f
- Full Text :
- https://doi.org/10.1016/s0022-460x(88)80357-2