Resonance behaviour of the spherical pendulum damper. (English) Zbl 1380.70017

Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 14. Proceedings of the seminar, Dolní Maxov, Czech Republic, June 1–6, 2008. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-55-4). 77-82 (2008).
Summary: The pendulum damper modeled as a two degree of freedom strongly nonlinear auto-parametric system is investigated using two approximate differential systems. Uni-directional harmonic external excitation at the suspension point is considered. Semi-trivial solutions and their stability are analyzed. The thorough analysis of the nonlinear system using less simplification than it is used in the authors’ paper [Auto-parametric post-critical behaviour of a spherical pendulum damper. In: B. Topping (ed.) Proc. 11th Conference on Civil, Struct. and Env. Eng. Computing, Malta, Civil-Comp Press, 2007] is performed. Both approaches are compared and conclusions are drawn.
For the entire collection see [Zbl 1194.65013].


70E17 Motion of a rigid body with a fixed point
34D10 Perturbations of ordinary differential equations
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