Comparison of the Stress-Strain Relationship of Right and Pseudo-developable Helicoids

  • Vladimir Jean Paul
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 124)


This research considered two types of helicoid from the five types which are right and pseudo-developable helicoids. The right helicoid is the screw linear surface described by a straight line which crosses a helicoid axis at right angle, rotates with a constant angular speed around this axis and at the same time moves along the same axis. The right helicoid is applied in civil engineering, architecture, and design. The pseudo-developable helicoid is formed by projections of the tangent circular helixes of a constant step to the plane perpendicular to an axis of a circular helix. The pseudo-developable helicoid is applied in mechanical engineering and design. In this work, there was an attempt to analyze the stress-strain state of the construction, which is constructed with application of these two types of helicoids. This analysis illustrates a possibility of the application of these two types of the helicoids in practical engineering.


Helical surface Right helicoid Pseudo-developable helicoid Analysis stress-strain 



The publication has been prepared with the support of the “RUDN University Program 5-100.”


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Vladimir Jean Paul
    • 1
  1. 1.Peoples’ Friendship University of Russia (RUDN University)MoscowRussian Federation

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