Study of optimal locations of piezo-patch actuators and sensors on a cantilever beam for maximum frequency gaps

C. Spier; J. C. Bruch Jr.; J. M. Sloss; S. Adali; I. S. Sadek

doi:10.1117/12.655249

27 March 2006 Study of optimal locations of piezo-patch actuators and sensors on a cantilever beam for maximum frequency gaps

C. Spier, J. C. Bruch Jr., J. M. Sloss, S. Adali, I. S. Sadek

Author Affiliations +

Proceedings Volume 6166, Smart Structures and Materials 2006: Modeling, Signal Processing, and Control; 616606 (2006) https://doi.org/10.1117/12.655249
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2006, San Diego, California, United States

Abstract

Active vibration control is implemented using multiple piezoelectric actuators and sensors bonded to the top and bottom surfaces of a cantilever beam. The control is exercised using closed-loop displacement feedback. The objective of the study is to determine the optimal locations of patch actuators and sensors such that the frequency gap between higher frequencies of the beam is maximized. Maximizing the frequency gaps is useful in those cases where the excitation frequency can be placed in between two higher order frequencies to avoid the resonance. In these cases the design requirement is to maximize the difference between the two higher order frequencies such as between the first and second frequencies or between the second and third frequencies, etc. In the present study the frequency gaps between the higher order frequencies are investigated with respect to actuator and sensor locations with a view towards determining the optimal locations for largest frequency gaps. The differential equation governing the vibrations of a beam/piezo patch system is solved using an integral equation approach. The equivalent integral equation formulation of the problem avoids the discontinuities which arise due to partial length piezo patches. The solution is approximated using the eigenfunctions of the freely vibrating structure which leads to a system of algebraic equations. The numerical results are given for various patch combinations and the optimal locations of the actuators and the sensors are determined. It is observed that the optimal locations of the piezo patches depend on the specific frequency gap as well as the patch configurations.

Citation Download Citation

C. Spier, J. C. Bruch Jr., J. M. Sloss, S. Adali, and I. S. Sadek "Study of optimal locations of piezo-patch actuators and sensors on a cantilever beam for maximum frequency gaps", Proc. SPIE 6166, Smart Structures and Materials 2006: Modeling, Signal Processing, and Control, 616606 (27 March 2006); https://doi.org/10.1117/12.655249

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available