Numerical experiments on helicoids stress-strain state

Helicoidal surfaces are widely used in various structures and their elements, especially in mechanical engineering, as well as in civil engineering and architecture. However there are still different classifications in both mathematical and engineering fields, and the general types of these surfaces are not completely investigated. In this paper, there are numerical experiments on two types of ruled helicoids stress-strain state: oblique and convolute. The results shows the differences in stress behavior of these two types, and proves that the preliminary design according to the specific requirements can be effective in the case when an engineer chooses the proper type of a helicoids for a particular structure. It is also shown how the presented investigation can be continued for a future research and used in practical engineering tasks. © Springer Nature Switzerland AG 2020