2009
DOI: 10.1177/1077546308094916
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Optimal Design of Shape Memory Alloy Damper for Cable Vibration Control

Abstract: In order to apply shape memory alloy (SMA) damper for effective control of cable vibration under external excitations, motion equations and corresponding state equation of the system made up of SMA dampers and a cable are described based on Hamilton Principle, and the system's optimization problems based on the linear quadratic regulator (LQR) active control algorithm are investigated to obtain the optimum cable vibration control effects and control forces. According to the equivalency between SMA damper optim… Show more

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Cited by 44 publications
(15 citation statements)
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“…For an SMA rod with cross section ( A ) subjected to the axial loading ( F ), the stress Hysteresis Behavior of Pre-Strained Shape Memory Alloy Wires Subject to Cyclic Loadings:… DOI: http://dx.doi.org /10.5772/intechopen.88452 is given by σ = F / A . Neglecting thermal expansion, the stress-strain of the SMA rod is computed as [16,17]:…”
Section: Modeling Superelasticity Effect Of Smamentioning
confidence: 99%
See 1 more Smart Citation
“…For an SMA rod with cross section ( A ) subjected to the axial loading ( F ), the stress Hysteresis Behavior of Pre-Strained Shape Memory Alloy Wires Subject to Cyclic Loadings:… DOI: http://dx.doi.org /10.5772/intechopen.88452 is given by σ = F / A . Neglecting thermal expansion, the stress-strain of the SMA rod is computed as [16,17]:…”
Section: Modeling Superelasticity Effect Of Smamentioning
confidence: 99%
“…where E A indicates the modulus of elasticity in austenite phase; similarly, for linear unloading stage where the material is in full martensite phase, modulus of elasticity is defined by E M . For other regions, modulus of elasticity is a combination of E A and E M as the following [16,17]:…”
Section: Modeling Superelasticity Effect Of Smamentioning
confidence: 99%
“…The relation between ε T UL and ε T L is expressed by [14]: where σ ms and σ mf are the Martensite phase start stress to the Martensite phase finish stress, correspondingly. Similarly, σ as and σ af denote the Austenite phase start stress and Austenite phase finish stress.…”
Section: Shape Memory Alloymentioning
confidence: 99%
“…2 based on the existing multi-linear models and research by the authors and their associates (Zuo et al, 2004;Zuo et al, 2008;Zuo et al, 2009), where points B and C are the martensite transformation starting point and terminal point, respectively, and points D and A are the autensite transformation starting point and terminal point, respectively. As shown in Fig.…”
Section: Introductionmentioning
confidence: 99%