Damping of a Vibrating Sma Rod Through Phase Transformation
Vibration damping is an important task in structural engineering. Several ways exist to accomplish it. One possibility is to ‘weaken’ the material by introducing a phase transformation through cooling or heating and to force the material to dissipate its mechanical energy during the transformation. The vibration damping due to phase transformation can be formulated mathematically by taking into account a micromechanical model of the authors [1, 2, 3] on the behavior of shape memory alloys (SMA’s). This model incorporates a kinetic law to describe the stress-temperature-transformed volume fraction-relation and a constitutive law (stress-strain-temperature-transformed volume fraction-relation). These are nonlinear ordinary differential equations, which are coupled with two partial differential equations, the heat conduction equation and the wave equation.
KeywordsPhase Transformation Shape Memory Alloy Mechanical Energy Heat Conduction Equation Micromechanical Model
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