Abstract
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Krivoshapko SN, Rynkovskaya M (2017) Five types of ruled helical surfaces for helical conveyers, support anchors and screws, MATEC Web Conf 95, 06002. http://dx.doi.org/10.1051/matecconf/20179506002
Krivoshapko SN, Ivanov VN (2015) Encyclopedia of analytical surfaces, Springer, p 752
Jean Paul V (2018) A review of geometry investigations of helicoids, IOP Conf Series Mater Sci Eng 371(012029):1–8 https://doi.org/10.1088/1757-899x/371/1/012029
Tupikova EM (2016) Investigation of VG Rekatch’s method of stress—strain analysis of the shell of long shallow oblique helicoid form. Struct Mech Analysis Constr 1:14–19
Rynkovskaya M, Ivanov V (2019) Analytical method to analyze right helicoid stress-strain. In: Öchsner A, Altenbach H (eds) Engineering design applications. Adv Struct Mater 92:157–171. Springer
Krivoshapko SN (2009) Geometry of linear surfaces with the return rib and linear theory for torso-helicoid calculation, RUDN, p 357
Rynkovskaya MI (2014) Application of Runge-Kutte method and running tri-diagonal matrix for open helicoidal shell calculation. Struct Mech Eng Constr Build 3:77–80
Halabi SM (2001) Moment theory of thin helicoidal pseudo-developable shells. Struct Mech Eng Constr Build 10:61–67
Pylypaka SF (2002) Control of bending of ruled surfaces on an example of a screw conoid. Prikladna Geometriya ta Inzhenerna Grafika 70:180–186
Kumar A, Chakrabarti A (2017) Failure analysis of laminated composite skew laminates. Procedia Engineering 173:1560–1566
Acknowledgements
The publication was prepared with the support of the RUDN University Program “5–100”.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Rynkovskaya, M., Markovich, A.S., Gil-Oulbe, M., Strashnov, S.V. (2020). Numerical Experiments on Helicoids Stress-Strain State. In: Öchsner, A., Altenbach, H. (eds) Engineering Design Applications II. Advanced Structured Materials, vol 113. Springer, Cham. https://doi.org/10.1007/978-3-030-20801-1_7
Download citation
DOI: https://doi.org/10.1007/978-3-030-20801-1_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-20800-4
Online ISBN: 978-3-030-20801-1
eBook Packages: EngineeringEngineering (R0)