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Geomechanics and Engineering Volume 35, Number 4, November25 2023 , pages 367-383 DOI: https://doi.org/10.12989/gae.2023.35.4.367 |
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Free vibrational behavior of perfect and imperfect multi-directional FG plates and curved structures |
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Pankaj S. Ghatage, P. Edwin Sudhagar and Vishesh R. Kar
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| Abstract | ||
| The present paper examines the natural frequency responses of the bi-directional (nx-ny, ny-nz and nz- nx) and multi-directional (nx-ny-nz) functionally graded (FG) plate and curved structures with and without porosity. The even and uneven kind of porosity pattern are considered to observe the influence of porosity type and porosity index. The numerical findings have been obtained using a higher order shear deformation theory (HSDT) based isometric finite element (FE) approach generated in a MATLAB platform. According to the convergence and validation investigation, the proposed HSDT based FE model is adequate to predict free vibrational responses of multidirectional porous FG plates and curved structures. Further a parametric analysis is carried out by taking various design parameters into account. The free vibrational behavior of bidirectional (2D) and multidirectional (3D) perfect-imperfect FGM structure is examined against various power law index, support conditions, aspect, and thickness ratio, and for the curvature of curved structures. The results indicate that the maximum non-dimensional fundamental frequency (NFF) value is observed in perfect FGM plates and curved structures compared to porous FGM plates and curved structures and it is maximum for FGM plates and curved structures with uneven kind of porosity than even porosity. | ||
| Key Words | ||
| FEM; free vibration; functionally graded materials; plates and curved structures; porosity | ||
| Address | ||
| Pankaj S. Ghatage: School of Mechanical Engineering, Vellore Institute of Technology, Vellore - 632014, Tamilnadu, India; Department of Automobile Engineering, Rajarambapu Institute of Technology, Rajaramnagar, Affiliated to Shivaji University, Kolhapur, Islampur - 415414, Maharashtra, India P. Edwin Sudhagar: School of Mechanical Engineering, Vellore Institute of Technology, Vellore - 632014, Tamilnadu, India Vishesh R. Kar: Department of Mechanical Engineering, National Institute of Technology Jamshedpur, – 831014, India | ||