Nonlinear oscillations of an elastic inverted pendulum

G Litak; M Coccolo; M. I Friswell; S. F Ali; S Adhikari; A. W Lees; O Bilgen

doi:10.1109/NSC.2012.6304737

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Nonlinear oscillations of an elastic inverted pendulum

G Litak, M Coccolo, M. I Friswell, S. F Ali, S Adhikari, A. W Lees and O Bilgen

2012 IEEE 4th International Conference on Nonlinear Science and Complexity (NSC), pp.113-116

08/2012

DOI: https://doi.org/10.1109/NSC.2012.6304737

Abstract

Damping

Mathematical model

Nonlinear dynamical systems

Oscillators

Potential well

Trajectory

Chaos

We examine the dynamics of the elastic inverted pendulum with a tip mass under horizontal harmonic excitation. In particular, we study the conditions when the potential barrier is overcome by the tip mass, and large amplitude oscillations occur, by means of the Melnikov criterion. The results have been confirmed by numerical simulations.

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Title: Nonlinear oscillations of an elastic inverted pendulum
Creators: G Litak - Dept. of Appl. Mech., Lublin Univ. of Technol., Lublin, Poland
M Coccolo - Dept. de Fis., Univ. Rey Juan Carlos, Madrid, Spain
M. I Friswell - Coll. of Eng., Swansea Univ., Swansea, UK
S. F Ali - Coll. of Eng., Swansea Univ., Swansea, UK
S Adhikari - Coll. of Eng., Swansea Univ., Swansea, UK
A. W Lees - Coll. of Eng., Swansea Univ., Swansea, UK
O Bilgen - Coll. of Eng., Swansea Univ., Swansea, UK
Publication Details: 2012 IEEE 4th International Conference on Nonlinear Science and Complexity (NSC), pp.113-116
Date published: 08/2012
Publisher: IEEE
Academic Unit: Mechanical and Aerospace Engineering (SOE)
Language: English
Resource Type: Conference proceeding
Identifiers: 991031666095804646