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

Fischer, Cyril; Náprstek, Jiří

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].

MSC:

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