The present work deals with the free vibration control of a simply supported and cantilevered sandwich beam with magnetorheological elastomer (MRE) embedded viscoelastic core and conductive skins subjected to time varying magnetic field. The skins of the sandwich beam are conductive such that magnetic loads are applied to the skins. Considering the core to be stiff in transverse direction, classical sandwich beam theory has been used along with extended Hamilton’s principle and Galarkin’s method to derive the governing equation of motion. The resulting equation reduces to that of a parametrically excited system. Method of multiple scales has been used to study the response and stability of the system. Critical parameters of amplitude and frequency of magnetic field have been determined to actively control the free vibration response of the system. Effects of percentage of iron particles and carbon black in attenuation of vibration of the sandwich beam have been studied. Here the experimentally obtained properties of recently developed magnetorheological elastomers based on natural rubber containing iron particles and carbon blacks have been considered in the numerical simulation.
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ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis
July 12–14, 2010
Istanbul, Turkey
Conference Sponsors:
- International
ISBN:
978-0-7918-4919-4
PROCEEDINGS PAPER
Free Vibration Control of MRE Embedded Viscoelastic Cored Sandwich Beam With Time Varying Magnetic Field
Biswajit Nayak,
Biswajit Nayak
Indian Institute of Technology Guwahati, Guwahati, AS, India
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Santosha K. Dwivedy,
Santosha K. Dwivedy
Indian Institute of Technology Guwahati, Guwahati, AS, India
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K. S. R. Krishna Murthy
K. S. R. Krishna Murthy
Indian Institute of Technology Guwahati, Guwahati, AS, India
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Biswajit Nayak
Indian Institute of Technology Guwahati, Guwahati, AS, India
Santosha K. Dwivedy
Indian Institute of Technology Guwahati, Guwahati, AS, India
K. S. R. Krishna Murthy
Indian Institute of Technology Guwahati, Guwahati, AS, India
Paper No:
ESDA2010-24613, pp. 211-220; 10 pages
Published Online:
December 28, 2010
Citation
Nayak, B, Dwivedy, SK, & Krishna Murthy, KSR. "Free Vibration Control of MRE Embedded Viscoelastic Cored Sandwich Beam With Time Varying Magnetic Field." Proceedings of the ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, Volume 5. Istanbul, Turkey. July 12–14, 2010. pp. 211-220. ASME. https://doi.org/10.1115/ESDA2010-24613
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