Effect of SMA Dampers on Nonlinear Vibrations of Elastic Structures

Author

Victor Birman, Missouri University of Science and TechnologyFollow

Abstract

Shape memory allow (SMA) components can affect vibrations of structures through two mechanisms. The stresses in a SMA element that experiences phase transformations, as a result of vibrations, have an effect on the frequency-amplitude characteristics. In addition, a dissipation of energy due to hysteresis in a SMA element can reduce the natural frequency and affect forced vibrations. The present paper illustrates the mathematical foundations of these concepts. The method of solution of the equation of motion of flexible superelastic SMA dampers is discussed. Potential benefits to vibrating structures associated with a hysteresis in superelastic SMA dampers are illustrated. As follows from the results shown in the paper, the effectiveness of superelastic dampers increases with temperature, as long as the latter remains within the range where the martensite formation is possible.

Recommended Citation

V. Birman, "Effect of SMA Dampers on Nonlinear Vibrations of Elastic Structures," Proceedings of SPIE - The International Society for Optical Engineering, SPIE -- The International Society for Optical Engineering, Jan 1997.

The definitive version is available at https://doi.org/10.1117/12.276545

Meeting Name

Proceedings of SPIE - The International Society for Optical Engineering (1997, San Diego, CA, USA)

Department(s)

Mechanical and Aerospace Engineering

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1997 SPIE -- The International Society for Optical Engineering, All rights reserved.

Publication Date

01 Jan 1997