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Structural Engineering and Mechanics Volume 68, Number 5, December10 2018 , pages 527-536 DOI: https://doi.org/10.12989/sem.2018.68.5.527 |
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Numerical study of temperature dependent eigenfrequency responses of tilted functionally graded shallow shell structures |
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Chandra Mouli B, Ramji K, Vishesh R Kar, Subrata K Panda, Lalepalli Anil K and Harsh K Pandey
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| Abstract | ||
| The free vibration frequency responses of the graded flat and curved (cylindrical, spherical, hyperbolic and elliptical) panel structures investigated in this research considering the rectangular and tilted planforms under unlike temperature loading. For the numerical implementation purpose, a micromechanical model is prepared with the help of Voigt\'s methodology via the power-law type of material model. Additionally, to incur the exact material strength, the temperature-dependent properties of each constituent of the graded structure included due to unlike thermal environment. The deformation kinematics of the rectangular/tilted graded shallow curved panel structural is modeled via higher-order type of polynomial functions. The final form of the eigenvalue equation of the heated structure obtained via Hamilton\'s principle and simultaneously solved numerically using finite element steps. To show the solution accuracy, a series of comparison the results are compared with the published data. Some new results are exemplified to exhibit the significance of power-law index, shallowness ratio, aspect ratio and thickness ratio on the combined thermal eigen characteristics of the regular and tilted graded panel structure. | ||
| Key Words | ||
| FGM; free vibration; tilted panels; TSDT; thermal field | ||
| Address | ||
| Chandra Mouli B: Department of Mechanical Engineering, RISE Krishna Sai Prakasam Group of Institutions, Ongole, India Ramji K: Dr. B. R. Ambedkar University, Srikakulam, India Vishesh R Kar: Department of Mechanical Engineering, National Institute of Technology, Jamshedpur, India Subrata K Panda and Lalepalli Anil K: Department of Mechanical Engineering, National Institute of Technology, Rourkela, India Harsh K Pandey: Dr. C. V. Raman Institute of Science & Technology, Kargi Road Kota, Bilaspur (CG), India | ||