Title
Vibration Analysis Of A Shape Memory Oscillator By Harmonic Balance Method Verified Numerically
Abstract
This paper focuses on periodic solutions for a one-degree-of-freedom oscillator with a spring made of shape memory alloy (SMA). However, when periodic solutions are unstable, irregular motion is identified numerically. The shape memory spring is described by a polynomial characteristic in this model. The harmonic balance method (HBM) is employed to find periodic solutions near the primary resonance. The solutions are confronted with results obtained by the multiple time scales method and numerical simulations. Finally, the effect of system parameters and temperature on the system dynamics is discussed.
Year
DOI
Venue
2019
10.1142/S0218127419300076
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
Field
DocType
Periodic solution, chaos, shape memory alloy, harmonic balance method
SMA*,Oscillation,Mathematical analysis,Shape-memory alloy,Harmonic balance,Vibration,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
29
3
0218-1274
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Rafal Rusinek101.01
Joanna Rekas200.34
Krzysztof Kecik301.35