Calculation of a thin plate by numerical method in the LIRA CAD software package
Authors
Elena Kulakova, Kalmova Maria, Olesya Ratmanova

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The method of calculating a thin plate using the LIRA CAD software package is an important aspect of modern engineering analysis. In this study, a thin rectangular plate is considered, and finite element analysis is used, which allows us to study in detail the behavior of materials under the influence of various loads. The LIRA CAD software package allows not only to model such structures, but also to conduct a comparative analysis using analytical methods, which makes it possible to evaluate the accuracy and effectiveness of various approaches. The analytical calculation method based on finite integral transformations provides a closed solution for plates of various sizes and shapes. This solution has been found to be the most accurate and versatile, which allows it to be used in various software packages.
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Authors
Elena Kulakova, Kalmova Maria, Olesya Ratmanova

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References:
- Reddy, J. Theory and Analysis of Elastic Plates and Shells / J. Reddy – CRC Press, – 2006. – 2nd Edition. – 568.
- Ratmanova O.V., Kalmova M.A. Dynamicactions of a two-layer freely supported beam / O.V. Ratmanova, M.A. Kalmova // LNCE, 2022 – Т. 189. – Р. 3-9.
- Senitsky Yu.E. The method of finite integral transformations – a generalization of the classical decomposition procedure by eigenvector functions // Izv. Saratov University. A new series. Math., mechanics., computer science, – 2011. – № 3(1). – pp. 61-89.
