Published: 31 December 2010

Modeling of dynamic stability of flexible ultrasonic waveguides

D. Stepanenko1
V. Minchenya2
A. Bubulis3
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Abstract

The article considers mathematical model intended for study of dynamic stability and parametric resonance of flexible ultrasonic waveguides for applications in technology and medicine. Considered problem is reduced to the well-known Mathieu equation applied in the theory of dynamic stability of elastic systems. Parameters of the Mathieu equation defining stability of the waveguide are determined by means of finite elements method using ANSYS software and APDL programming language

About this article

Received
20 September 2010
Accepted
09 December 2010
Published
31 December 2010
Keywords
flexible waveguide
longitudinal vibrations
flexural vibrations