0
SPECIAL SECTION ON DAMPING OF SHAPE MEMORY ALLOYS, COMPOSITES, AND FOAMS

Partial Hyperbolic-Tangent Friction Element Based Phenomenological Models for Shape Memory Alloy Pseudoelastic Hysteresis

[+] Author and Article Information
Brendon Malovrh, Farhan Gandhi

Department of Aerospace Engineering,  The Pennsylvania State University, 229 Hammond Building, University Park, PA 16802

J. Eng. Mater. Technol 128(3), 346-355 (Apr 11, 2006) (10 pages) doi:10.1115/1.2204941 History: Received September 01, 2005; Revised April 11, 2006

A new mechanism-based phenomenological model, comprising linear and nonlinear springs and a nonlinear friction element, is presented for the pseudoelastic damping behavior of shape memory alloys. The use of a partial hyperbolic tangent friction element (a hybrid of an ideal and hyperbolic tangent friction element) is seen to increase accuracy in simulating experimental hysteresis behavior over earlier models. Comparisons are then made with existing models. Compared to the thermodynamic-based models, the present models have the benefit of not requiring calculation of austenite-martensite phase transformations. Unlike previously developed phenomenological models, the models presented herein have mechanical analogies that provide a strong physical basis, and clear relationships can be established between the unlocking of the friction element and the occurrence of phase transformation. These models are simpler and more intuitive than existing models.

Copyright © 2006 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Pseudoelastic hysteresis of SMAs

Grahic Jump Location
Figure 2

Experimental hysteresis behavior of a NiTi SMA (see Ref. 28)

Grahic Jump Location
Figure 3

Three-element model

Grahic Jump Location
Figure 4

Pseudoelastic hysteresis for the three-element model

Grahic Jump Location
Figure 5

Four-element nonlinear model

Grahic Jump Location
Figure 6

Pseudoelastic hysteresis for the four-element nonlinear model

Grahic Jump Location
Figure 7

Geometric spring (a) without and (b) with offset

Grahic Jump Location
Figure 8

Pseudoelastic hysteresis for the four-element nonlinear offset model

Grahic Jump Location
Figure 9

Behavior of partial hyperbolic tangent friction element

Grahic Jump Location
Figure 10

Variation in friction element with changing α

Grahic Jump Location
Figure 11

Pseudoelastic hysteresis for the partial hyperbolic tangent friction element model

Grahic Jump Location
Figure 12

Pseudoelastic hysteresis for the partial hyperbolic tangent friction element∕nonlinear spring model

Grahic Jump Location
Figure 13

Pseudoelastic hysteresis at various temperatures

Grahic Jump Location
Figure 14

Pseudoelastic hysteresis at various excitation frequencies

Grahic Jump Location
Figure 15

Pseudoelastic hysteresis for the Özdemir model

Grahic Jump Location
Figure 16

Ff versus ẋ1 in the Özdemir model, (a) n=31, (b) n=3

Grahic Jump Location
Figure 17

Pseudoelastic hysteresis for the Özdemir and partial hyperbolic tangent friction element models

Grahic Jump Location
Figure 18

Pseudoelastic hysteresis for the Witting model

Grahic Jump Location
Figure 19

Pseudoelastic hysteresis for the Witting and partial hyperbolic tangent friction element models

Grahic Jump Location
Figure 20

SMA material properties

Grahic Jump Location
Figure 21

Pseudoelastic hysteresis for the Brinson model

Grahic Jump Location
Figure 22

Pseudoelastic hysteresis for the Brinson model (modified parameters)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In