Shape Memory Alloy Based Actively Tuned Undamped Mass Absorber

Shape Memory Alloy Based Actively Tuned Undamped Mass Absorber

M. Senthil Kumar (PSG College of Technology, India), V. Raj Kumar (PSG College of Technology, India) and S. Shyamkirthi (PSG College of Technology, India)
DOI: 10.4018/ijmmme.2012010105
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Abstract

An actively tuned undamped mass vibration absorber (ATVA) based on shape memory alloy (SMA) actuator is developed for attenuation of vibration in a cantilever beam. The design procedure of the ATVA is presented. The system consists of a cantilever beam mounted with shaker to generate the real-time vibration. The SMA spring with mass is attached at free end. The stiffness of SMA spring is varied dynamically in such a way to attenuate the vibration actively. Both simulation and experimentation are carried out. Simulation is carried out using Finite Element Analysis (FEA) package ANSYS software. The experiment was carried out by interfacing the experimental setup with computer along with LabVIEW software through data acquisition card (DAQ). In experimental setup, an accelerometer is used to measure the vibration which is fed to computer and in turn the SMA spring is actuated to change its stiffness which will control the vibration. The results illustrate that the developed ATVA using SMA is very effective in reducing structural response and having great potential to use as an active vibration control media.
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Tuned Undamped Mass Vibration Absorber

The combination K, M is the schematic representation of the system under consideration, with the force, Fsinωt acting on it as show in Figure 1. The vibration absorber consists of comparatively a small vibratory system k, m attached to the main mass M as shown in Figure 1. The natural frequency of the attached absorber is chosen to be equal to the frequency, ω of the disturbing force. It will be shown that the main mass, M does not vibrate at all, and that the small system k, m vibrates in such a way that their spring force are equal and opposite to Fsinωt. So there is no net force acting on main mass M and therefore that mass does not vibrate.

Figure 1.

Equivalent lumped mass representations

Equations of motion of the combined system are,

(1)

The response of forced vibration of this system will be in the form, (2) where a1 and a2 are the amplitudes of main mass and absorber mass respectively Division by sinωt transforms the differential equations into algebraic equations the result.

(3)

For simplification the equations are converted into a dimensionless form and for that purpose the following symbols are introduced.

= static deflection of main system

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