Summary
This paper investigates nonlinear vibration in a forced cantilever with a contact boundary. The cantilever is assumed as an Euler-Bernoulli beam, and the contact is specified by the Derjaguin-Müller-Toporov theory. The mathematical model is a linear non-autonomous partial-differential equation with a nonlinear autonomous boundary condition. The method of multiple scales is applied to calculate the steady-state response in principal resonance. The equation of response curves is derived from the solvability condition of eliminating secular terms. Numerical examples are presented to demonstrate the effects of the excitation amplitude, the damping coefficient, and the coefficients related to the contact boundary.
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Chen, LQ. (2007). Multiscale Analysis of a Cantilever with a Contact Boundary. In: Eberhard, P. (eds) IUTAM Symposium on Multiscale Problems in Multibody System Contacts. IUTAM Bookseries, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5981-0_2
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DOI: https://doi.org/10.1007/978-1-4020-5981-0_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-5980-3
Online ISBN: 978-1-4020-5981-0
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