Abstract
The dynamics of the majority of nonlinear structures cannot be solved exactly. In this chapter, approximate methods for solving the equations of motion of weakly nonlinear structures are presented. Common types of nonlinear response behaviour are identified using an example structure. Perturbation techniques and the method of secondorder normal forms are then discussed and used to analyse three applications in which the nonlinear behaviour is exploited.
The author would like to acknowledge the contributions from Alicia Gonzalez-Buelga, Siming Liu and Xie Zhenfang and the helpful discussions with Anthony Croxford and David Wagg.
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Neild, S.A. (2012). Approximate Methods for Analysing Nonlinear Structures. In: Wagg, D.J., Virgin, L. (eds) Exploiting Nonlinear Behavior in Structural Dynamics. CISM Courses and Lectures, vol 536. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1187-1_2
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DOI: https://doi.org/10.1007/978-3-7091-1187-1_2
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