A reduced-order thermomechanical model and analytical solution for uniaxial shape memory alloy wire actuators
dc.contributor.author | Shaw | en_US |
dc.contributor.author | John A. | en_US |
dc.contributor.author | Churchill, Christopher B. | en_US |
dc.date.accessioned | 2010-03-23T15:25:22Z | |
dc.date.available | 2010-03-23T15:25:22Z | |
dc.date.issued | 2009 | en_US |
dc.identifier.citation | Shaw; John A; Churchill, Christopher B (2009). "A reduced-order thermomechanical model and analytical solution for uniaxial shape memory alloy wire actuators." Smart Materials and Structures 18(6): 65001. <http://hdl.handle.net/2027.42/65088> | en_US |
dc.identifier.issn | 0964-1726 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/65088 | |
dc.description.abstract | A lumped shape memory alloy (SMA) model is derived from the thermodynamic model of Chang et al (2006 Contin. Mech. Thermodyn. 18 83 118), using a set of simplifying assumptions, that reduces the system of partial differential equations for an SMA/bias spring actuator to a nonlinear, first-order, ordinary differential equation. Dimensionless state variables and parameters are defined that are useful for characterizing the actuator system and for studying its performance and scaling. A general analytical solution to the nonlinear differential equation governing phase transformation is found in terms of the Lambert function for a piecewise constant Joule heating input and a constant temperature convective environment. The analytical solution provides a useful and convenient tool for assessing the time-dependent, hysteretic response of this simple class of SMA actuators, with which design and optimization studies are performed. | en_US |
dc.format.extent | 3111 bytes | |
dc.format.extent | 1081179 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | IOP Publishing | en_US |
dc.title | A reduced-order thermomechanical model and analytical solution for uniaxial shape memory alloy wire actuators | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/65088/2/sms9_6_065001.pdf | |
dc.identifier.source | Smart Materials and Structures | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.