Article

Modeling the dynamical response of ferromagnetic shape memory alloy actuators using a dissipative Euler–Lagrange equation

Centre for Smart Materials and Structures, Royal Military College, Kingston, Ontario K7K 7B4, Canada
Journal of Applied Physics (impact factor: 2.17). 02/2009; DOI:10.1063/1.3073896 pp.023917 - 023917-4
Source: IEEE Xplore

ABSTRACT A phenomenological dynamical model of ferromagnetic shape memory alloy based actuators is developed. The parameters of effective mass density, viscosity, and elasticity are defined and used in a dissipative Euler–Lagrange equation to determine the martensite variant fraction and strain as a function of time. These three parameters are determined by fitting our simulations to recent experiments on a NiMnGa based actuator. In addition to the simplicity of only three fitting parameters to model martensite variant evolution, the present model is a convenient formulation of the problem because it incorporates self-consistently all stresses and loads in the system.

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Keywords

convenient formulation
 
dissipative Euler–Lagrange equation
 
effective mass density
 
elasticity
 
ferromagnetic shape memory alloy
 
loads
 
martensite variant fraction
 
model martensite variant evolution
 
phenomenological dynamical model
 
recent experiments
 
self-consistently
 
three fitting parameters
 
three parameters
 
viscosity