Masters Theses


“An analytical model of an ultrasonic Langevin transducer was developed and the electrical impedance of the system was calculated. The applications of the Langevin transducer are numerous and typical examples are ultrasonic drills, ultrasonic cutters and welders.

Many ultrasonic Langevin transducers today consist of a backing piece of metal, a piezoelectric transducer and a resonant horn. The whole assembly is driven by an externally applied alternating voltage across the ends of the piezoelectric transducer that transfers the energy to the resonant horn into the material on which the operation is being performed. During the operation, change in the state of the base material causes a change in the performance of the transducer assembly. Typically, this change could result from varying stiffnesses at several layers of the material that is being cut using an ultrasonic cutter. This change in behavior of the assembly is measured using the impedance of the system and this could affect the efficiency of the transducer. Thus, it becomes necessary to monitor the change in the impedance of the system. An analytical model has been developed to study how the impedance of the system changes during the particular operation. In developing this model, the differential equations of motion for a longitudinally vibrating rod have been solved for various boundary conditions and subsequently been used for solving the entire transducer assembly including an end loaded spring-mass-damper system. There was also an external voltage included in the model using the constitutive equations for piezoelectric materials. Finally, the change in impedance of the system was studied with respect to changes in properties of the spring, mass and damper”--Abstract, page iii.


Stutts, Daniel S.

Committee Member(s)

Chandrashekhara, K.
Hilgers, Michael Gene


Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering


University of Missouri--Rolla

Publication Date

Spring 2002


x, 67 pages

Note about bibliography

Includes bibliographical references (pages 65-66).


© 2002 Chandra Sekhar Jonnalagadda, All rights reserved.

Document Type

Thesis - Restricted Access

File Type




Subject Headings

Ultrasonic transducers

Thesis Number

T 8036

Print OCLC #


Link to Catalog Record

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