Abstract
The authors suggest a simple analytical method to analyze right helicoid stress-strain state based on a corrected and simplified Rekach’s method of two Reissner’s equations reduced into one eight-order equation with solutions found by the trigonometric Fourier series. In the study of this technique, some inaccuracies were found in the formulas that have a significant impact on the results. A direct approach to the definition of the tangential displacements is also introduced. Improvement of the method allows to simplify the equations and get compact enough formulas which are suitable for programming. It is proven that the numerical results obtained by this modified analytical method are similar to those obtained by finite element method, while the original version of this technique leads to incorrect results.
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This paper was financially supported by the Ministry of Education and Science of the Russian Federation on the program to improve the competitiveness of Peoples’ Friendship University of Russia (RUDN University) among the world’s leading research and education centers in the 2016–2020.
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Rynkovskaya, M., Ivanov, V. (2019). Analytical Method to Analyze Right Helicoid Stress-Strain. In: Öchsner, A., Altenbach, H. (eds) Engineering Design Applications. Advanced Structured Materials, vol 92. Springer, Cham. https://doi.org/10.1007/978-3-319-79005-3_11
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