The competing solutions of a planar pendulum parametrically excited by the vertical motion of the pivot are investigated in terms of both attractor robustness and basin integrity. Two different measures are considered to highlight how the integrity of the system is modified by changing the amplitude of the excitation. Various attractors, both in-well and out-of-well, are considered, and the integrity profiles of each of them are determined. A detailed discussion of the interaction and mutual erosion of the various attractors is performed by clarifying the role of the two complementary measures, and the most relevant characteristics of the erosion profiles are interpreted in terms of the underlying topological mechanisms involving local or global bifurcations.
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e-mail: lenci@univpm.it
e-mail: giuseppe.rega@uniroma1.it
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October 2008
Research Papers
Competing Dynamic Solutions in a Parametrically Excited Pendulum: Attractor Robustness and Basin Integrity
Stefano Lenci,
Stefano Lenci
Dipartimento di Architettura, Costruzioni e Strutture,
e-mail: lenci@univpm.it
Università Politecnica delle Marche
, Via Brecce Bianche, 60131 Ancona, Italy
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Giuseppe Rega
Giuseppe Rega
Dipartimento di Ingegneria Strutturale Geotecnica,
e-mail: giuseppe.rega@uniroma1.it
Università di Roma “La Sapienza,”
Via Antonio Gramsci 53, 00197 Roma, Italy
Search for other works by this author on:
Stefano Lenci
Dipartimento di Architettura, Costruzioni e Strutture,
Università Politecnica delle Marche
, Via Brecce Bianche, 60131 Ancona, Italye-mail: lenci@univpm.it
Giuseppe Rega
Dipartimento di Ingegneria Strutturale Geotecnica,
Università di Roma “La Sapienza,”
Via Antonio Gramsci 53, 00197 Roma, Italye-mail: giuseppe.rega@uniroma1.it
J. Comput. Nonlinear Dynam. Oct 2008, 3(4): 041010 (9 pages)
Published Online: September 2, 2008
Article history
Received:
May 21, 2007
Revised:
February 18, 2008
Published:
September 2, 2008
Citation
Lenci, S., and Rega, G. (September 2, 2008). "Competing Dynamic Solutions in a Parametrically Excited Pendulum: Attractor Robustness and Basin Integrity." ASME. J. Comput. Nonlinear Dynam. October 2008; 3(4): 041010. https://doi.org/10.1115/1.2960468
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