Nonlinear oscillations of an elastic inverted pendulum

Grzegorz Litak; Mattia Coccolo; Michael I. Friswell; Shaikh F. Ali; Sondipon Adhikari; Arthur W. Lees; Onur Bilgen

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

Nonlinear oscillations of an elastic inverted pendulum

Grzegorz Litak, Mattia Coccolo, Michael I. Friswell, Shaikh F. Ali, Sondipon Adhikari, Arthur W. Lees, Onur Bilgen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

14 Scopus citations

Abstract

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.

Original language	English (US)
Title of host publication	IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings
Pages	113-116
Number of pages	4
DOIs	https://doi.org/10.1109/NSC.2012.6304737
State	Published - 2012
Externally published	Yes
Event	IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Budapest, Hungary Duration: Aug 6 2012 → Aug 11 2012

Publication series

Name	IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings

Other

Other	IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012
Country/Territory	Hungary
City	Budapest
Period	8/6/12 → 8/11/12

ASJC Scopus subject areas

Computer Science (miscellaneous)

Access to Document

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

Cite this

Litak, G., Coccolo, M., Friswell, M. I., Ali, S. F., Adhikari, S., Lees, A. W., & Bilgen, O. (2012). Nonlinear oscillations of an elastic inverted pendulum. In IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings (pp. 113-116). [6304737] (IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings). https://doi.org/10.1109/NSC.2012.6304737

Litak, Grzegorz ; Coccolo, Mattia ; Friswell, Michael I. ; Ali, Shaikh F. ; Adhikari, Sondipon ; Lees, Arthur W. ; Bilgen, Onur. / Nonlinear oscillations of an elastic inverted pendulum. IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings. 2012. pp. 113-116 (IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings).

@inproceedings{84052bf33ed94af7bfb4a9518e949b84,

title = "Nonlinear oscillations of an elastic inverted pendulum",

abstract = "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.",

author = "Grzegorz Litak and Mattia Coccolo and Friswell, {Michael I.} and Ali, {Shaikh F.} and Sondipon Adhikari and Lees, {Arthur W.} and Onur Bilgen",

year = "2012",

doi = "https://doi.org/10.1109/NSC.2012.6304737",

language = "English (US)",

isbn = "9781467327039",

series = "IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings",

pages = "113--116",

booktitle = "IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings",

note = "IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 ; Conference date: 06-08-2012 Through 11-08-2012",

}

Litak, G, Coccolo, M, Friswell, MI, Ali, SF, Adhikari, S, Lees, AW & Bilgen, O 2012, Nonlinear oscillations of an elastic inverted pendulum. in IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings., 6304737, IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings, pp. 113-116, IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012, Budapest, Hungary, 8/6/12. https://doi.org/10.1109/NSC.2012.6304737

Nonlinear oscillations of an elastic inverted pendulum. / Litak, Grzegorz; Coccolo, Mattia; Friswell, Michael I.; Ali, Shaikh F.; Adhikari, Sondipon; Lees, Arthur W.; Bilgen, Onur.

IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings. 2012. p. 113-116 6304737 (IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Nonlinear oscillations of an elastic inverted pendulum

AU - Litak, Grzegorz

AU - Coccolo, Mattia

AU - Friswell, Michael I.

AU - Ali, Shaikh F.

AU - Adhikari, Sondipon

AU - Lees, Arthur W.

AU - Bilgen, Onur

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84868311421&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84868311421&partnerID=8YFLogxK

U2 - https://doi.org/10.1109/NSC.2012.6304737

DO - https://doi.org/10.1109/NSC.2012.6304737

M3 - Conference contribution

SN - 9781467327039

T3 - IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings

SP - 113

EP - 116

BT - IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings

T2 - IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012

Y2 - 6 August 2012 through 11 August 2012

ER -

Litak G, Coccolo M, Friswell MI, Ali SF, Adhikari S, Lees AW et al. Nonlinear oscillations of an elastic inverted pendulum. In IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings. 2012. p. 113-116. 6304737. (IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings). https://doi.org/10.1109/NSC.2012.6304737

Nonlinear oscillations of an elastic inverted pendulum

Abstract

Publication series

Other

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this