Modeling of shape memory alloy pseudoelastic spring elements using Preisach model for passive vibration isolation

Advances in active materials and smart structures, especially in applications of Shape Memory Alloys (SMA) as vibration isolation devices requires modeling of the pseudoelastic hysteresis found in SMAs. In general SMA hysteresis has been modeled either through constitutive models based on mechanics and material parameters or through system identification based models that depend only on input-output relationships, most popular being the Preisach Model. In this work, a basis is set forth for studying the effect of SMA pseudoelasticity on the behavior of vibrating systems. A Preisach Model is implemented to predict the component level pseudoelastic response of SMA spring elements. The model is integrated into a numerical solution of the non-linear dynamic system that results from the inclusion of Shape Memory Alloy components in a dynamic structural system. The effect of pseudoelasticity on a dynamic system is investigated for various loading levels and system configurations and the importance of large amplitude motion is discussed. Promising results are obtained from these investigations and the application of these studies to experimental work in progress by the authors is briefly discussed.

[1]  Dimitris C. Lagoudas,et al.  Modelling of Shape Memory Alloy Springs for Passive Vibration Isolation , 2001, Adaptive Structures and Material Systems.

[2]  Teodor M. Atanackovic,et al.  A model for memory alloys in plane strain , 1986 .

[3]  D. Lagoudas,et al.  Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part IV: modeling of minor hysteresis loops , 1999 .

[4]  Dimitris C. Lagoudas,et al.  AN EXPERIMENTAL INVESTIGATION OF SHAPE MEMORY ALLOY SPRINGS FOR PASSIVE VIBRATION ISOLATION , 2001 .

[5]  Perry H Leo,et al.  The use of shape memory alloys for passive structural damping , 1995 .

[6]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[7]  H. Ozdemir.  Nonlinear transient dynamic analysis of yielding structure , 1973 .

[8]  Yohannes Ketema,et al.  Shape Memory Alloys for Passive Vibration Damping , 1998 .

[9]  M. Krasnosel’skiǐ,et al.  Systems with Hysteresis , 1989 .

[10]  Z. C. Feng,et al.  Dynamics of a Mechanical System with a Shape Memory Alloy Bar , 1996 .

[11]  E. J. Graesser,et al.  Shape‐Memory Alloys as New Materials for Aseismic Isolation , 1991 .

[12]  James K. Knowles,et al.  Dynamics of propagating phase boundaries: Thermoelastic solids with heat conduction , 1994 .

[13]  John T. Wen,et al.  Preisach modeling and compensation for smart material hysteresis , 1995, Other Conferences.

[14]  Cyril M. Harris,et al.  Shock and vibration handbook , 1976 .

[15]  Kevin Barraclough,et al.  I and i , 2001, BMJ : British Medical Journal.

[16]  K. Shimizu,et al.  Pseudoelasticity and shape memory effects in alloys , 1986 .

[17]  David W. L. Wang,et al.  Preisach model identification of a two-wire SMA actuator , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[18]  Shuichi Miyazaki,et al.  Effect of cyclic deformation on the pseudoelasticity characteristics of Ti-Ni alloys , 1986 .

[19]  C. R. Maguire.  Noise and Vibration Control in Engineering , 1959 .

[20]  Marc Regelbrugge,et al.  Shape-memory alloy isolators for vibration suppression in space applications , 1995 .

[21]  Mayergoyz,et al.  Mathematical models of hysteresis. , 1986, Physical review letters.

[22]  A. Kurdila,et al.  Hysteresis Modeling of SMA Actuators for Control Applications , 1998 .