The Effect of a Localized Mass Non-Uniformity on a Longitudinally Vibrating Piezoelectric Rod
Department
Mechanical and Aerospace Engineering
Major
Mechanical Engineering
Research Advisor
Stutts, Daniel S.
Advisor's Department
Mechanical and Aerospace Engineering
Funding Source
Missouri S&T Opportunities for Undergraduate Research Experiences (OURE) Program
Abstract
This paper describes the effects of a localized (point)-mass non-uniformity located arbitrarily on a longitudinally vibrating piezoelectric rod. The point-mass non-uniformity is accounted for using the receptance method. Expressions for the natural frequencies, modes, and the forced solution for the non-uniform rod and corresponding impedance are developed in closed form. The model is experimentally verified using impedance data from piezoelectric rods with attached concentrated masses. Methods for back-calculating the location of the point-mass using the experimental impedance trace are also described. The modeling approach detailed in this paper is potentially useful in the design of piezoelectric transformers and health monitoring of piezoelectric sensors and devices, as well as other piezoelectric devices.
Biography
Husain was born in Karachi, Pakistan and soon after moved to the United States with his parents. He currently resides in the St. Louis area. This May he will be graduating with a B.S. degree in Mechanical Engineering from Missouri S&T with emphasis in mechanical vibration. After graduation, he will pursue a doctorate degree in Electrical Engineering at Penn State. He serves a volunteer leader at the university’s local mosque.
Research Category
Engineering
Presentation Type
Poster Presentation
Document Type
Poster
Award
Engineering poster session, Third place
Location
Upper Atrium/Hallway
Presentation Date
10 Apr 2012, 1:00 pm - 3:00 pm
The Effect of a Localized Mass Non-Uniformity on a Longitudinally Vibrating Piezoelectric Rod
Upper Atrium/Hallway
This paper describes the effects of a localized (point)-mass non-uniformity located arbitrarily on a longitudinally vibrating piezoelectric rod. The point-mass non-uniformity is accounted for using the receptance method. Expressions for the natural frequencies, modes, and the forced solution for the non-uniform rod and corresponding impedance are developed in closed form. The model is experimentally verified using impedance data from piezoelectric rods with attached concentrated masses. Methods for back-calculating the location of the point-mass using the experimental impedance trace are also described. The modeling approach detailed in this paper is potentially useful in the design of piezoelectric transformers and health monitoring of piezoelectric sensors and devices, as well as other piezoelectric devices.