Modeling of a flexible beam actuated by shape memory alloy wires
- 1 June 1997
- journal article
- Published by IOP Publishing in Smart Materials and Structures
- Vol. 6 (3), 265-277
- https://doi.org/10.1088/0964-1726/6/3/005
Abstract
A thermomechanical model is developed to predict the structural response of a flexible beam with shape memory alloy (SMA) wire actuators. A geometrically nonlinear static analysis is first carried out to investigate the deformed shape of a flexible cantilever beam caused by an externally-attached SMA wire actuated electrically. The actuation force applied by the SMA actuator to the beam is evaluated by solving a coupled problem that combines a thermodynamic constitutive model of SMAs with the heat conduction equation in the SMA and the structural model of the beam. To calculate the temperature history of the SMA actuator for given electrical current input, the heat transfer equation is solved with the electrical resistive heating being modeled as a distributed heat source along the SMA wire. The steps in the formulation are connected together through an iterative scheme that takes into account the static equilibrium of the beam and the constitutive relation of SMAs, thus translating an electrical current history input into beam strain output. The proposed model is used to simulate the experimental results, thus demonstrating the feasibility of using SMA actuators for shape control of active flexible structural systems.Keywords
This publication has 15 references indexed in Scilit:
- Identification of the transient response of SMA embedded flexible rodsPublished by SPIE-Intl Soc Optical Eng ,1995
- Deformations and thermal response of active flexible rods with embedded shape memory alloy actuatorsPublished by SPIE-Intl Soc Optical Eng ,1994
- Thermomechanical Response of Shape Memory CompositesJournal of Intelligent Material Systems and Structures, 1994
- Deformations of active flexible rods with embedded line actuatorsSmart Materials and Structures, 1993
- Active flexible rods with embedded SMA fibersSmart Materials and Structures, 1992
- Bending and Shape Control of Beams Using SMA ActuatorsJournal of Intelligent Material Systems and Structures, 1991
- Active vibration control of flexible beams using shape memory actuatorsJournal of Sound and Vibration, 1990
- One-Dimensional Thermomechanical Constitutive Relations for Shape Memory MaterialsJournal of Intelligent Material Systems and Structures, 1990
- An analysis of a new class of integration algorithms for elastoplastic constitutive relationsInternational Journal for Numerical Methods in Engineering, 1986
- Correlating equations for laminar and turbulent free convection from a horizontal cylinderInternational Journal of Heat and Mass Transfer, 1975