Reference Value Selection in a Perturbation Theory Applied to Nonuniform Beams

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 freque...

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Bibliographic Details
Main Authors: Blake Martin, Armaghan Salehian
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2018/4627865