Theoretical calculation method of hyperbolic rotating thin shell bending problem

ObjectiveIn order to analyze the bending characteristics of a hyperbolic rotating thin shell, the complex two-dimensional mechanical problem is simplified into a one-dimensional bending problem based on Euler's Bernoulli beam theory. MethodBy analyzing the force and deformation characteristics of shells and belt beams, a structural mechanical model is established, and a double curvature rotating thin shell bending differential equation is obtained by combining the physical equation of plate and shell theory with the bending differential equation of a single-span beam. An empirical formula for typical stress is proposed and its accuracy verified by an ANSYS-based simulation. ResultsThe results show that the error between the simulation and the formula is about 2.3%, which demonstrates the high accuracy of the formula in predicting typical stress and verifies the correctness of the theoretical calculation method. ConclusionThe proposed method can provide useful references for the design and optimization of similar structure.