Effect of SMA dampers on nonlinear vibrations of elastic structures

Victor Birman

doi:10.1117/12.276545

13 June 1997 Effect of SMA dampers on nonlinear vibrations of elastic structures

Victor Birman

Proceedings Volume 3039, Smart Structures and Materials 1997: Mathematics and Control in Smart Structures; (1997) https://doi.org/10.1117/12.276545
Event: Smart Structures and Materials '97, 1997, San Diego, CA, United States

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.

Citation Download Citation

Victor Birman "Effect of SMA dampers on nonlinear vibrations of elastic structures", Proc. SPIE 3039, Smart Structures and Materials 1997: Mathematics and Control in Smart Structures, (13 June 1997); https://doi.org/10.1117/12.276545

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