Special Curves in Engineering. Surfaces Generated by the Logarithmic Spiral

Ștefan Cezar Broscăţeanu

doi:10.2478/mcee-2022-0001

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Special Curves in Engineering. Surfaces Generated by the Logarithmic Spiral

Modelling in Civil Environmental Engineering

Volume 17 (2022): Issue 1 (March 2022)

By: Ștefan Cezar Broscăţeanu

Open Access

|Feb 2023

Abstract

The logarithmic spiral is one of the most known curves with applications in engineering. We consider product of the logarithmic spiral with a real line and tensor product of two logarithmic spirals and investigate their minimality or flatness. The Vrănceanu surface, with c₁ a logarithmic spiral, is also considered.

References

[1] Mihai I., Mihai A., Ghisoiu V., 2012, Problems in Differential Geometry (in Romanian), Editura Univ. București.
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[2] Mihai I., Rouxel B., 1995, Tensor product surfaces of Euclidean plane curves, Results in Math. 27, 308-315.10.1007/BF03322834
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[3] Lipschutz, M.M., 1969, Schaum’s Outline of Theory and Problems of Differential Geometry, McGraw-Hill Book Company, New York.
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[4] https://en.wikipedia.org/wiki/Logarithmic_spiral#In_engineering_applications
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Articles in this issue

DOI: https://doi.org/10.2478/mcee-2022-0001 | Journal eISSN: 2784-1391

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Language: English

Page range: 1 - 6

Published on: Feb 10, 2023

Published by: Technical University of Civil Engineering of Bucharest

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

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Related subjects:

Introductions and overviews,

Engineering, other

© 2023 Ștefan Cezar Broscăţeanu, published by Technical University of Civil Engineering of Bucharest
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 17 (2022): Issue 1 (March 2022)