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Smart Structures and Systems Volume 5, Number 1, January 2009 , pages 23-42 DOI: https://doi.org/10.12989/sss.2009.5.1.023 |
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Static analysis of rubber components with piezoelectric patches using nonlinear finite element |
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M. C. Manna, A. H. Sheikh and R. Bhattacharyya
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| Abstract | ||
| In order to reduce vibration or to control shape of structures made of metal or composites, piezoelectric materials have been extensively used since their discovery in 1880. A recent trend is also seen to apply piezoelectric materials to flexible structures made of rubber-like materials. In this paper a non-linear finite element model using updated Lagrangian (UL) approach has been developed for static analysis of rubber-elastic material with surface-bonded piezoelectric patches. A compressible stain energy function has been used for modeling the rubber as hyperelastic material. For formulation of the nonlinear finite element model a twenty-node brick element is used. Four degrees of freedom u, v and w and electrical potential j per node are considered as the field variables. PVDF (polyvinylidene fluoride) patches are applied as sensors/actuators or sensors and actuators. The present model has been applied to bimorph PVDF cantilever beam to validate the formulation. It is then applied to study the smart rubber components under different boundary and loading conditions. The results predicted by the present formulation are compared with the analytical solutions as well as the available published results. Some results are given as new ones as no published solutions available in the literatures to the best of the authors\' knowledge. | ||
| Key Words | ||
| nonlinear finite element; compressible strain energy function; hyperelastic material; piezo-rubber beam; smart rubber beam. | ||
| Address | ||
| M. C. Manna; Department of Applied Mechanics, Bengal Engineering and Science University, Howrah 711 103, India A. H. Sheikh; School of Civil, Environmental and Mining Engineering, The University of Adelaide, South 5005, Australia R. Bhattacharyya; Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur 721 302, India | ||