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Reference Value Selection in a Perturbation Theory Applied to Nonuniform Beams
Joint Authors
Martin, Blake
Salehian, Armaghan
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-27
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
The Lindstedt-Poincaré method is applied to a nonuniform Euler-Bernoulli beam model for the free transverse vibrations of the system.
The nonuniformities in the system include spatially varying and piecewise continuous bending stiffness and mass per unit length.
The expression for the natural frequencies is obtained up to second-order and the expression for the mode shapes is obtained up to first-order.
The explicit dependence of the natural frequencies and mode shapes on reference values for the bending stiffness and the mass per unit length of the system is determined.
Multiple methods for choosing these reference values are presented and are compared using numerical examples.
American Psychological Association (APA)
Martin, Blake& Salehian, Armaghan. 2018. Reference Value Selection in a Perturbation Theory Applied to Nonuniform Beams. Shock and Vibration،Vol. 2018, no. 2018, pp.1-25.
https://search.emarefa.net/detail/BIM-1215267
Modern Language Association (MLA)
Martin, Blake& Salehian, Armaghan. Reference Value Selection in a Perturbation Theory Applied to Nonuniform Beams. Shock and Vibration No. 2018 (2018), pp.1-25.
https://search.emarefa.net/detail/BIM-1215267
American Medical Association (AMA)
Martin, Blake& Salehian, Armaghan. Reference Value Selection in a Perturbation Theory Applied to Nonuniform Beams. Shock and Vibration. 2018. Vol. 2018, no. 2018, pp.1-25.
https://search.emarefa.net/detail/BIM-1215267
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1215267