Piezocomposite beams are often modeled using linear constitutive equations describing the electromechanical coupling of the material. In nearly all experimental identification processes, nonlinearities in these equations are ignored, which can lead to significant errors in the identified models. Following a common practice in the literature, a piezocomposite cantilever beam is modeled as a single degree of freedom system, with strain induced harmonic excitation governed by linear piezoelectric constitutive relationships. The validity of the linear property assumptions is investigated. It is experimentally demonstrated that the relationship between input and response of the beam is significantly nonlinear. The impact of this nonlinear behavior on the parameter identification of the system is shown for three different testing methods, (1) Open Loop Excitation, (2) Constant Input, and (3) Constant Response. For each method, the command amplitude is varied which yields different parameter estimates for the single degree of freedom beam model. These results demonstrate that the assumed linear constitutive relationships lead to parameter estimates which are only accurate for the specific testing method and the specific commanded input or response amplitude, even under highly controlled testing procedures. The paper concludes with comments on the system identification of a single degree of freedom model given this nonlinear system behavior.
Skip Nav Destination
ASME 2017 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
September 18–20, 2017
Snowbird, Utah, USA
Conference Sponsors:
- Aerospace Division
ISBN:
978-0-7918-5826-4
PROCEEDINGS PAPER
Nonlinearities in Experimental System Identification of a Piezocomposite Beam Model
Patrick S. Heaney,
Patrick S. Heaney
Old Dominion University, Norfolk, VA
Search for other works by this author on:
Onur Bilgen
Onur Bilgen
Rutgers University, Piscataway, NJ
Search for other works by this author on:
Patrick S. Heaney
Old Dominion University, Norfolk, VA
Onur Bilgen
Rutgers University, Piscataway, NJ
Paper No:
SMASIS2017-3735, V002T04A002; 7 pages
Published Online:
November 9, 2017
Citation
Heaney, PS, & Bilgen, O. "Nonlinearities in Experimental System Identification of a Piezocomposite Beam Model." Proceedings of the ASME 2017 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. Volume 2: Modeling, Simulation and Control of Adaptive Systems; Integrated System Design and Implementation; Structural Health Monitoring. Snowbird, Utah, USA. September 18–20, 2017. V002T04A002. ASME. https://doi.org/10.1115/SMASIS2017-3735
Download citation file:
15
Views
Related Proceedings Papers
Related Articles
Nonlinear Robust Output Stabilization for Mechanical Systems Based on Luenberger-Like Controller/Observer
J. Dyn. Sys., Meas., Control (August,2017)
System Identification of Nonlinear Mechanical Systems Using Embedded Sensitivity Functions
J. Vib. Acoust (December,2005)
The Effects of Stingers on Receptance Function Measurements
J. Vib. Acoust (April,1996)
Related Chapters
Cardiac Murmur Classification Based on Analysis of the Phonocardiogram to Estimate the Number of Degrees of Freedom of the Heart Modelled as a Nonlinear System
Intelligent Engineering Systems through Artificial Neural Networks, Volume 16
Summary and future direction
Nanomaterials in Glucose Sensing: Biomedical & Nanomedical Technologies - Concise Monographs
Automatic Language Identification of Three Indian Languages Using Vector Quantization
International Conference on Computer and Electrical Engineering 4th (ICCEE 2011)