Due to the small linear region in electrorheological (ER) fluid, vibration analysis of the sandwich structure containing ER fluid should be investigated in nonlinear region where the material properties depend on frequency, amplitude and electric field. In present work, the nonlinear equations of motion have been obtained using finite element technique. The nonlinear amplitude dependent stiffness matrices in equations of motion have been previously expressed by B and N notations. In B-notation an asymmetric amplitude dependent stiffness matrix is achieved. On the other hand in N-notation a symmetric form of the nonlinear stiffness matrices is achieved. The main problem in nonlinear vibration analysis of structure using direct integration technique is the time-consuming integrations, which should be performed for several times throughout this method. Due to numerous degrees of freedom in sandwich shell/plate structures, the computational costs in finite element modeling of sandwich shell/plate structures becomes more expensive. In this study, by considering kinetic and potential energies attributed to the elastic and ER fluid layers and using Lagrange equations, nonlinear finite element formulation has been derived for the ER based sandwich shell structures. Also a new technique is developed to represent the equations of motion in a new notation referred to as H-notation which fundamentally reduces the computational costs in nonlinear vibration damping analysis of sandwich shell structure. Finally, parametric study is conducted to show the effect of small/ large displacement, electric field intensities and core thickness ratio on damping behavior of the ER based sandwich shell structures for different boundary conditions.
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ASME 2013 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
September 16–18, 2013
Snowbird, Utah, USA
Conference Sponsors:
- Aerospace Division
ISBN:
978-0-7918-5603-1
PROCEEDINGS PAPER
Free Vibration Analysis of Electrorheological Fluid Sandwich Shell Structures Subjected to Large Deformation
Farough Mohammadi
,
Farough Mohammadi
Concordia University, Montreal, QC, Canada
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Ramin Sedaghati
Ramin Sedaghati
Concordia University, Montreal, QC, Canada
Search for other works by this author on:
Farough Mohammadi
Concordia University, Montreal, QC, Canada
Ramin Sedaghati
Concordia University, Montreal, QC, Canada
Paper No:
SMASIS2013-3025, V001T03A005; 8 pages
Published Online:
February 20, 2014
Citation
Mohammadi, F, & Sedaghati, R. "Free Vibration Analysis of Electrorheological Fluid Sandwich Shell Structures Subjected to Large Deformation." Proceedings of the ASME 2013 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. Volume 1: Development and Characterization of Multifunctional Materials; Modeling, Simulation and Control of Adaptive Systems; Integrated System Design and Implementation. Snowbird, Utah, USA. September 16–18, 2013. V001T03A005. ASME. https://doi.org/10.1115/SMASIS2013-3025
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