This paper investigates the dynamic response of a frame structure with pre-strained SMA bracing elements. The constitutive model proposed by Brinson is used to simulate the axial response of SMA bracing elements. A non-linear transient finite element model incorporated with Newmark's time integration scheme is used to analyze the dynamic response of a structure. The time histories of displacements and hysteresis loops of SMA tendons are computed under harmonic loading. The effect of forcing amplitude and initial pre-strains of SMA tendons on transient dynamic response of a structure is discussed. The suitability of pseudoelastic SMA for energy dissipation is briefly discussed.
The model of a polymeric bar, which is connected in series with a shape memory alloy (SMA) wire, is analyzed. Both the polymeric bar and SMA are exposed to a transient temperature field. The thermo-viscoelastic theory for thermoheologically simple material is applied to the polymeric bar. Brinson's one-dimensional constitutive law is employed for the analysis of SMA. The fundamental equation governing the behavior of the combined structure is obtained. Results of stress (strain)-time relation and stress (strain)-temperature relation in SMA are obtained. It is found that the results from thermo-viscoelastic analysis coincide well with those of thermo-elastic and visco-elastic analyses only within low temperature range, however, notable discrepancy occurs when temperature is close to the glass transformation temperature of the polymer. Besides, the effects of polymeric material parameters on the actuating force of SMA are also discussed.
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