Analytical method to analyze right helicoid stress-strain

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. © 2019, Springer International Publishing AG, part of Springer Nature.