On the Nonlinear Energy Interactions in Harmonically Excited Post-buckled Flexible Inverted Pendulum in the Presence of Friction

[+] Author and Article Information
Vishal Vyas

Near Powai Lake Powai Mumbai, 400076 India vishuvyas2003@gmail.com

Prasanna S. Gandhi

Suman Mashruwala Adavanced Microengineering Lab. Mechanical Engieering Department IIT Bombay, Powai Mumbai, Maharastra 400076 India gandhi.iitb@gmail.com

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received January 28, 2019; final manuscript received March 28, 2019; published online xx xx, xxxx. Assoc. Editor: Stefano Lenci.

ASME doi:10.1115/1.4043353 History: Received January 28, 2019; Accepted March 28, 2019


Nonlinear energy interaction is a fascinating feature of nonlinear oscillators and has been drawing the attention of researchers since last few decades. Omnipresent friction in mechanical systems can play a crucial role in modifying these interactions. Using Post Buckled Flexible Inverted Pendulum (PBFIP) as a candidate system we characterize here, theoretically and experimentally, significant changes in the nonlinear energy transfer in the presence of friction at input side. Particularly, even with relatively low friction, the energy gets transferred in the higher harmonics of excitation close to a resonant mode as against the transfer to higher modes reported previously. We term this new phenomenon as “Excitation Harmonic Resonance Locking (EHRL)”. Theoretical modeling and simulations, considering large deformations, based on assumed modes method, and using simple friction model reasonably capture the experimental observation. In summary, the paper explicates the role of friction in shifting energy transfer frequencies and can be useful in understanding and designing of oscillators and nonlinear vibrating systems.

Copyright © 2019 by ASME
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