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Smart Structures and Systems Volume 24, Number 2, August 2019 , pages 267-292 DOI: https://doi.org/10.12989/sss.2019.24.2.267 |
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Coupled evaluation of the free vibration characteristics of magneto-electro-elastic skew plates in hygrothermal environment |
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Vinyas Mahesh, Subhaschandra Kattimani, Dineshkumar Harursampath and Nguyen-Thoi Trung
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| Abstract | ||
| The present article addresses the coupled free vibration problem of skew magneto-electro-elastic plates (SMEE) considering the temperature-moisture dependent material properties. The plate kinematics follows Reddy\'s s higher order shear deformation theory. With the aid of finite element methods, the governing equations of motion are derived considering the Hamilton\'s principle and solved by adopting condensation technique. The influence of different temperature and moisture dependent empirical constants on the frequency response of SMEE plate has been assessed. In addition, the natural frequencies corresponding to various fields are evaluated and the effect of empirical constants on these coupled frequencies is determined. A detailed parametric study has been carried out to assess the individual effects of temperature and moisture dependent empirical constants along with their combined effect, aspect ratio, length-to-width ratio, stacking sequence and boundary conditions. The results reveal that the external environment as well as the geometrical skewness has a significant influence on the stiffness of the SMEE plates. | ||
| Key Words | ||
| coupling; magneto-electro-elastic; hygrothermal; geometrical skewness; empirical constants | ||
| Address | ||
| Vinyas Mahesh: Department of Aerospace Engineering, Indian Institute of Science, Bangalore-560012, India; Department of Mechanical Engineering, Nitte Meenakshi Institute of Technology Bangalore – 560064, Karnataka, India Subhaschandra Kattimani:Department of Mechanical Engineering, National Institute of Technology Karnataka, Surathkal-575025, India Dineshkumar Harursampath: Department of Aerospace Engineering, Indian Institute of Science, Bangalore-560012, India Nguyen-Thoi Trung: Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam | ||