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Free Vibration Analysis of Reissner–Mindlin Plates Using FEniCS
FEniCS is a Python-based powerful open-source package for solving partial differential equations. The FEniCS computing platform was created under FEniCS research and software project with the aim of an automated solution to mathematical models (partial differential equations) through finite element methods. FEniCS environment provides a high-level user-interface which allows easy reproduction of mathematical formulation and rapid implementation of high-performance solvers. In the present work, the potential of the FEniCS package is utilized to numerically analyse the modal characteristics of a thin square Reissner–Mindlin plate having different boundary (edge) conditions. Sensitivity analyses are performed to study the variation with change in a number of elements and the order of the interpolating polynomial. The eigenvalues and mode shapes obtained are subsequently compared with both analytical results and the results obtained from commercial finite element package.
Free Vibration Analysis of Reissner–Mindlin Plates Using FEniCS
FEniCS is a Python-based powerful open-source package for solving partial differential equations. The FEniCS computing platform was created under FEniCS research and software project with the aim of an automated solution to mathematical models (partial differential equations) through finite element methods. FEniCS environment provides a high-level user-interface which allows easy reproduction of mathematical formulation and rapid implementation of high-performance solvers. In the present work, the potential of the FEniCS package is utilized to numerically analyse the modal characteristics of a thin square Reissner–Mindlin plate having different boundary (edge) conditions. Sensitivity analyses are performed to study the variation with change in a number of elements and the order of the interpolating polynomial. The eigenvalues and mode shapes obtained are subsequently compared with both analytical results and the results obtained from commercial finite element package.
Free Vibration Analysis of Reissner–Mindlin Plates Using FEniCS
Lecture Notes in Civil Engineering
Chandrasekaran, Srinivasan (editor) / Kumar, Shailendra (editor) / Madhuri, Seeram (editor) / Verma, G. (author) / Sengupta, S. (author) / Mammen, S. (author) / Bhattacharya, S. (author)
2021-04-01
10 pages
Article/Chapter (Book)
Electronic Resource
English
Free Vibration Analysis of Reissner-Mindlin Plates Using FEniCS
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