Free vibration analysis of a structural system with a pair of irrational nonlinearities

S. K. Lai; B. S. Wu; Y. Y. Lee

doi:10.1016/j.apm.2017.01.017

Author(s)

S. K. Lai
B. S. Wu
Y. Y. Lee

Related Research Unit(s)

Department of Architecture and Civil Engineering

Detail(s)

Original language	English
Pages (from-to)	997-1007
Journal / Publication	Applied Mathematical Modelling
Volume	45
Publication status	Published - 1 May 2017

Link(s)

DOI	DOI https://doi.org/10.1016/j.apm.2017.01.017 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85019625613&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(2a4f98fa-6b6c-4419-ac5a-10a884b2473d).html

Abstract

An alternative method of deriving accurate and simple analytical approximate solutions to a structural dynamical system governed by a pair of strong irrational restoring forces is presented. This system can be used to represent mathematical models in various engineering problems. Prior to solving the problem, a rational approximation of the nonlinear restoring force function is applied to achieve a convergent truncation. Analytical solutions are then obtained using the combination of the harmonic balance method and Newton's method. This approach shows that lower-order analytical procedures can yield highly accurate and exact solutions that are difficult to obtain with an analytical expression.