Journal
JOURNAL OF SOUND AND VIBRATION
Volume 332, Issue 7, Pages 1777-1788Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2012.09.022
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Funding
- Chinese Scholarship Council
- Engineering and Physical Sciences Research Council [EP/K003836/2, EP/K003836/1] Funding Source: researchfish
- EPSRC [EP/K003836/1, EP/K003836/2] Funding Source: UKRI
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In this paper we consider the steady-state response of forced, damped, weakly nonlinear oscillators with polynomial type nonlinearities. In particular we define general expressions that can be used to compute resonant response functions which define the steady-state constant amplitude oscillatory response at the primary resonance and the associated harmonics. The resonant response functions are derived using a normal form transformation which is carried out directly on the second-order nonlinear oscillator. The example of a forced van der Pol oscillator with an additional cubic stiffness nonlinearity is used to demonstrate how the general analysis can be applied. (c) 2012 Elsevier Ltd. All rights reserved.
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