scholarly journals Shape memory elastic foundation and supports for passive vibration control of composite plates

2008 ◽  
Vol 45 (1) ◽  
pp. 320-335 ◽  
Author(s):  
Victor Birman
2016 ◽  
Vol 23 (1) ◽  
pp. 69-88 ◽  
Author(s):  
M Bodaghi ◽  
M Shakeri ◽  
MM Aghdam

Problems associated with the modeling and vibration control of rectangular plates under dynamic loads with integrated polycrystalline NiTi shape memory alloy (SMA) ribbons are developed. In order to simulate the thermo-mechanical behavior of SMA ribbons under dominant axial and transverse shear stresses, a robust macroscopic constitutive model is introduced. The model is able to accurately predict martensite transformation/orientation, shape memory effect, pseudo-elasticity and in particular reorientation of martensite variants and ferro-elasticity features. The structural model is based on the adoption of the first-order shear deformation theory and on the geometrical non-linearity in the von Kármán sense. Towards obtaining the governing equations of motion, the Hamilton principle is used. Finite element and Newmark methods along with an iterative incremental process based on the elastic-predictor inelastic-corrector return mapping algorithm are implemented to solve the non-linear governing equations in spatial and time domains. Numerical simulations highlighting the implications of pre-strain state and temperature of the SMA ribbons, as well as those related to the respective dynamic loads, are presented and discussed in detail. It is found that the modeling of ferro-elasticity in the dynamic analysis of SMA composite structures could lead to significant conclusions concerning the passive vibration control capability of low-temperature SMA ribbons.


Author(s):  
Adailton Gomes Pereira ◽  
Maria Carolina Barcellos de Oliveira ◽  
Sidney Bruce Shiki ◽  
Armando Ítalo Sette Antonialli

1993 ◽  
Vol 115 (1) ◽  
pp. 129-135 ◽  
Author(s):  
C. Liang ◽  
C. A. Rogers

Shape memory alloys (SMAs) have several unique characteristics, including their Young’s modulus-temperature relations, shape memory effects, and damping characteristics. The Young’s modulus of the high-temperature austenite of SMAs is about three to four times as large as that of low-temperature martensite. Therefore, a spring made of shape memory alloy can change its spring constant by a factor of three to four. Since a shape memory alloy spring can vary its spring constant, provide recovery stress (shape memory effect), or be designed with a high damping capacity, it may be useful in adaptive vibration control. Some vibration control concepts utilizing the unique characteristics of SMAs will be presented in this paper. Shape memory alloy springs have been used as actuators in many applications although their use in the vibration control area is very recent. Since shape memory alloys differ from conventional alloy materials in many ways, the traditional design approach for springs is not completely suitable for designing SMA springs. Some design approaches based upon linear theory have been proposed for shape memory alloy springs. A more accurate design method for SMA springs based on a new nonlinear thermomechanical constitutive relation of SMA is also presented in this paper.


2013 ◽  
Author(s):  
Stephen Leslie Williams ◽  
Keith R Ptak ◽  
Dr. Guillermo Hahn ◽  
Craig Masson ◽  
Prof. Andre Mazzoleni ◽  
...  

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